From 4f90dcbeaba5c991b397c72ac2fbc6c4da427da1 Mon Sep 17 00:00:00 2001
From: abstractqqq <tq9695@gmail.com>
Date: Fri, 18 Oct 2024 11:13:20 -0400
Subject: [PATCH 1/3] parital progress

---
 python/polars_ds/query_linear.py | 8 ++++++++
 1 file changed, 8 insertions(+)

diff --git a/python/polars_ds/query_linear.py b/python/polars_ds/query_linear.py
index 9ebe6c5d..e369c3e3 100644
--- a/python/polars_ds/query_linear.py
+++ b/python/polars_ds/query_linear.py
@@ -25,6 +25,14 @@ def lr_formula(s: str | pl.Expr) -> pl.Expr:
         )
 
 
+def query_simple_lstsq(
+    x: str | pl.Expr,
+    target: str | pl.Expr,
+    add_bias: bool = False,
+) -> pl.Expr:
+    pass
+
+
 def query_lstsq(
     *x: str | pl.Expr,
     target: str | pl.Expr | List[str | pl.Expr],

From 77332a73f7443b38a0f3e493b6041bbd046c868d Mon Sep 17 00:00:00 2001
From: abstractqqq <tq9695@gmail.com>
Date: Fri, 18 Oct 2024 11:51:34 -0400
Subject: [PATCH 2/3] added simple lstsq

---
 examples/basics.ipynb            |  454 ++++++------
 examples/diagnosis.ipynb         | 1167 +++++++++++++++---------------
 examples/pipeline.ipynb          |    2 +-
 python/polars_ds/diagnosis.py    |    3 +
 python/polars_ds/query_linear.py |   70 +-
 5 files changed, 878 insertions(+), 818 deletions(-)

diff --git a/examples/basics.ipynb b/examples/basics.ipynb
index f0ab47b3..a8a9b1f0 100644
--- a/examples/basics.ipynb
+++ b/examples/basics.ipynb
@@ -46,7 +46,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 12)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>f</th><th>time_idx</th><th>dummy</th><th>actual</th><th>predicted</th><th>dummy_groups</th><th>x1</th><th>x2</th><th>x3</th><th>a</th><th>b</th><th>y</th></tr><tr><td>f64</td><td>i64</td><td>str</td><td>i32</td><td>f64</td><td>str</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.0</td><td>0</td><td>&quot;a&quot;</td><td>0</td><td>0.86498</td><td>&quot;a&quot;</td><td>0.375252</td><td>0.881995</td><td>0.420171</td><td>0.655727</td><td>0.173962</td><td>-0.309318</td></tr><tr><td>0.841471</td><td>1</td><td>&quot;a&quot;</td><td>1</td><td>0.50387</td><td>&quot;a&quot;</td><td>0.463363</td><td>0.40801</td><td>0.082464</td><td>0.50011</td><td>0.666425</td><td>0.068278</td></tr><tr><td>0.909297</td><td>2</td><td>&quot;a&quot;</td><td>0</td><td>0.477584</td><td>&quot;a&quot;</td><td>0.830754</td><td>0.432502</td><td>0.467936</td><td>0.052073</td><td>0.918524</td><td>-0.447444</td></tr><tr><td>0.14112</td><td>3</td><td>&quot;a&quot;</td><td>1</td><td>0.6773</td><td>&quot;a&quot;</td><td>0.494657</td><td>0.382809</td><td>0.988702</td><td>0.970549</td><td>0.782791</td><td>-1.29399</td></tr><tr><td>-0.756802</td><td>4</td><td>&quot;a&quot;</td><td>0</td><td>0.132401</td><td>&quot;a&quot;</td><td>0.851374</td><td>0.198486</td><td>0.783481</td><td>0.237095</td><td>0.512069</td><td>-0.987913</td></tr></tbody></table></div>"
+       "<small>shape: (5, 12)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>f</th><th>time_idx</th><th>dummy</th><th>actual</th><th>predicted</th><th>dummy_groups</th><th>x1</th><th>x2</th><th>x3</th><th>a</th><th>b</th><th>y</th></tr><tr><td>f64</td><td>i64</td><td>str</td><td>i32</td><td>f64</td><td>str</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.0</td><td>0</td><td>&quot;a&quot;</td><td>0</td><td>0.718061</td><td>&quot;a&quot;</td><td>0.121634</td><td>0.763113</td><td>0.732562</td><td>0.377112</td><td>0.375955</td><td>-0.851582</td></tr><tr><td>0.841471</td><td>1</td><td>&quot;a&quot;</td><td>0</td><td>0.699118</td><td>&quot;a&quot;</td><td>0.962587</td><td>0.096575</td><td>0.673011</td><td>0.738888</td><td>0.100335</td><td>-0.83615</td></tr><tr><td>0.909297</td><td>2</td><td>&quot;a&quot;</td><td>1</td><td>0.805626</td><td>&quot;a&quot;</td><td>0.813999</td><td>0.460178</td><td>0.514103</td><td>0.51099</td><td>0.785711</td><td>-0.510919</td></tr><tr><td>0.14112</td><td>3</td><td>&quot;a&quot;</td><td>1</td><td>0.00557</td><td>&quot;a&quot;</td><td>0.977954</td><td>0.687947</td><td>0.828845</td><td>0.067208</td><td>0.464131</td><td>-0.890152</td></tr><tr><td>-0.756802</td><td>4</td><td>&quot;a&quot;</td><td>0</td><td>0.668774</td><td>&quot;a&quot;</td><td>0.743661</td><td>0.900544</td><td>0.401849</td><td>0.629593</td><td>0.745616</td><td>-0.221055</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 12)\n",
@@ -55,11 +55,11 @@
        "│ ---       ┆ ---      ┆ ---   ┆ ---    ┆   ┆ ---      ┆ ---      ┆ ---      ┆ ---       │\n",
        "│ f64       ┆ i64      ┆ str   ┆ i32    ┆   ┆ f64      ┆ f64      ┆ f64      ┆ f64       │\n",
        "╞═══════════╪══════════╪═══════╪════════╪═══╪══════════╪══════════╪══════════╪═══════════╡\n",
-       "│ 0.0       ┆ 0        ┆ a     ┆ 0      ┆ … ┆ 0.420171 ┆ 0.655727 ┆ 0.173962 ┆ -0.309318 │\n",
-       "│ 0.841471  ┆ 1        ┆ a     ┆ 1      ┆ … ┆ 0.082464 ┆ 0.50011  ┆ 0.666425 ┆ 0.068278  │\n",
-       "│ 0.909297  ┆ 2        ┆ a     ┆ 0      ┆ … ┆ 0.467936 ┆ 0.052073 ┆ 0.918524 ┆ -0.447444 │\n",
-       "│ 0.14112   ┆ 3        ┆ a     ┆ 1      ┆ … ┆ 0.988702 ┆ 0.970549 ┆ 0.782791 ┆ -1.29399  │\n",
-       "│ -0.756802 ┆ 4        ┆ a     ┆ 0      ┆ … ┆ 0.783481 ┆ 0.237095 ┆ 0.512069 ┆ -0.987913 │\n",
+       "│ 0.0       ┆ 0        ┆ a     ┆ 0      ┆ … ┆ 0.732562 ┆ 0.377112 ┆ 0.375955 ┆ -0.851582 │\n",
+       "│ 0.841471  ┆ 1        ┆ a     ┆ 0      ┆ … ┆ 0.673011 ┆ 0.738888 ┆ 0.100335 ┆ -0.83615  │\n",
+       "│ 0.909297  ┆ 2        ┆ a     ┆ 1      ┆ … ┆ 0.514103 ┆ 0.51099  ┆ 0.785711 ┆ -0.510919 │\n",
+       "│ 0.14112   ┆ 3        ┆ a     ┆ 1      ┆ … ┆ 0.828845 ┆ 0.067208 ┆ 0.464131 ┆ -0.890152 │\n",
+       "│ -0.756802 ┆ 4        ┆ a     ┆ 0      ┆ … ┆ 0.401849 ┆ 0.629593 ┆ 0.745616 ┆ -0.221055 │\n",
        "└───────────┴──────────┴───────┴────────┴───┴──────────┴──────────┴──────────┴───────────┘"
       ]
      },
@@ -217,7 +217,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>f</th><th>a</th><th>b</th></tr><tr><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>1.3944e-15</td><td>-0.655727</td><td>-0.173962</td></tr><tr><td>-0.841471</td><td>-0.50011</td><td>-0.666425</td></tr><tr><td>-0.909297</td><td>-0.052073</td><td>-0.918524</td></tr><tr><td>-0.14112</td><td>-0.970549</td><td>-0.782791</td></tr><tr><td>0.756802</td><td>0.418632</td><td>-0.338106</td></tr></tbody></table></div>"
+       "<small>shape: (5, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>f</th><th>a</th><th>b</th></tr><tr><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>1.3944e-15</td><td>-0.377112</td><td>-0.375955</td></tr><tr><td>-0.841471</td><td>-0.738888</td><td>-0.100335</td></tr><tr><td>-0.909297</td><td>-0.51099</td><td>-0.785711</td></tr><tr><td>-0.14112</td><td>-0.067208</td><td>-0.464131</td></tr><tr><td>0.756802</td><td>-0.25248</td><td>-0.369661</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 3)\n",
@@ -226,11 +226,11 @@
        "│ ---        ┆ ---       ┆ ---       │\n",
        "│ f64        ┆ f64       ┆ f64       │\n",
        "╞════════════╪═══════════╪═══════════╡\n",
-       "│ 1.3944e-15 ┆ -0.655727 ┆ -0.173962 │\n",
-       "│ -0.841471  ┆ -0.50011  ┆ -0.666425 │\n",
-       "│ -0.909297  ┆ -0.052073 ┆ -0.918524 │\n",
-       "│ -0.14112   ┆ -0.970549 ┆ -0.782791 │\n",
-       "│ 0.756802   ┆ 0.418632  ┆ -0.338106 │\n",
+       "│ 1.3944e-15 ┆ -0.377112 ┆ -0.375955 │\n",
+       "│ -0.841471  ┆ -0.738888 ┆ -0.100335 │\n",
+       "│ -0.909297  ┆ -0.51099  ┆ -0.785711 │\n",
+       "│ -0.14112   ┆ -0.067208 ┆ -0.464131 │\n",
+       "│ 0.756802   ┆ -0.25248  ┆ -0.369661 │\n",
        "└────────────┴───────────┴───────────┘"
       ]
      },
@@ -267,16 +267,16 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>y</th></tr><tr><td>list[f64]</td></tr></thead><tbody><tr><td>[-0.504084, -0.336834]</td></tr></tbody></table></div>"
+       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>lstsq_coeffs</th></tr><tr><td>list[f64]</td></tr></thead><tbody><tr><td>[-0.504704, -0.337103]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (1, 1)\n",
        "┌────────────────────────┐\n",
-       "│ y                      │\n",
+       "│ lstsq_coeffs           │\n",
        "│ ---                    │\n",
        "│ list[f64]              │\n",
        "╞════════════════════════╡\n",
-       "│ [-0.504084, -0.336834] │\n",
+       "│ [-0.504704, -0.337103] │\n",
        "└────────────────────────┘"
       ]
      },
@@ -312,7 +312,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (4, 7)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>features</th><th>beta</th><th>std_err</th><th>t</th><th>p&gt;|t|</th><th>0.025</th><th>0.975</th></tr><tr><td>str</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;ln(x1+1)&quot;</td><td>0.216516</td><td>0.001691</td><td>128.048013</td><td>0.0</td><td>0.213201</td><td>0.21983</td></tr><tr><td>&quot;exp(x2)&quot;</td><td>0.175173</td><td>0.000677</td><td>258.937137</td><td>0.0</td><td>0.173847</td><td>0.176499</td></tr><tr><td>&quot;sin(x3)&quot;</td><td>-1.74255</td><td>0.001332</td><td>-1308.318803</td><td>0.0</td><td>-1.745161</td><td>-1.739939</td></tr><tr><td>&quot;__bias__&quot;</td><td>-0.108934</td><td>0.001506</td><td>-72.347151</td><td>0.0</td><td>-0.111886</td><td>-0.105983</td></tr></tbody></table></div>"
+       "<small>shape: (4, 7)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>features</th><th>beta</th><th>std_err</th><th>t</th><th>p&gt;|t|</th><th>0.025</th><th>0.975</th></tr><tr><td>str</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;ln(x1+1)&quot;</td><td>0.219255</td><td>0.001702</td><td>128.82251</td><td>0.0</td><td>0.215919</td><td>0.222592</td></tr><tr><td>&quot;exp(x2)&quot;</td><td>0.175347</td><td>0.000682</td><td>257.08593</td><td>0.0</td><td>0.17401</td><td>0.176684</td></tr><tr><td>&quot;sin(x3)&quot;</td><td>-1.745287</td><td>0.001352</td><td>-1290.855454</td><td>0.0</td><td>-1.747937</td><td>-1.742636</td></tr><tr><td>&quot;__bias__&quot;</td><td>-0.108876</td><td>0.001515</td><td>-71.843245</td><td>0.0</td><td>-0.111847</td><td>-0.105905</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (4, 7)\n",
@@ -321,10 +321,10 @@
        "│ ---      ┆ ---       ┆ ---      ┆ ---          ┆ ---   ┆ ---       ┆ ---       │\n",
        "│ str      ┆ f64       ┆ f64      ┆ f64          ┆ f64   ┆ f64       ┆ f64       │\n",
        "╞══════════╪═══════════╪══════════╪══════════════╪═══════╪═══════════╪═══════════╡\n",
-       "│ ln(x1+1) ┆ 0.216516  ┆ 0.001691 ┆ 128.048013   ┆ 0.0   ┆ 0.213201  ┆ 0.21983   │\n",
-       "│ exp(x2)  ┆ 0.175173  ┆ 0.000677 ┆ 258.937137   ┆ 0.0   ┆ 0.173847  ┆ 0.176499  │\n",
-       "│ sin(x3)  ┆ -1.74255  ┆ 0.001332 ┆ -1308.318803 ┆ 0.0   ┆ -1.745161 ┆ -1.739939 │\n",
-       "│ __bias__ ┆ -0.108934 ┆ 0.001506 ┆ -72.347151   ┆ 0.0   ┆ -0.111886 ┆ -0.105983 │\n",
+       "│ ln(x1+1) ┆ 0.219255  ┆ 0.001702 ┆ 128.82251    ┆ 0.0   ┆ 0.215919  ┆ 0.222592  │\n",
+       "│ exp(x2)  ┆ 0.175347  ┆ 0.000682 ┆ 257.08593    ┆ 0.0   ┆ 0.17401   ┆ 0.176684  │\n",
+       "│ sin(x3)  ┆ -1.745287 ┆ 0.001352 ┆ -1290.855454 ┆ 0.0   ┆ -1.747937 ┆ -1.742636 │\n",
+       "│ __bias__ ┆ -0.108876 ┆ 0.001515 ┆ -71.843245   ┆ 0.0   ┆ -0.111847 ┆ -0.105905 │\n",
        "└──────────┴───────────┴──────────┴──────────────┴───────┴───────────┴───────────┘"
       ]
      },
@@ -361,16 +361,16 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>y</th></tr><tr><td>list[f64]</td></tr></thead><tbody><tr><td>[-0.504084, -0.336834]</td></tr></tbody></table></div>"
+       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>lstsq_coeffs</th></tr><tr><td>list[f64]</td></tr></thead><tbody><tr><td>[-0.504704, -0.337103]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (1, 1)\n",
        "┌────────────────────────┐\n",
-       "│ y                      │\n",
+       "│ lstsq_coeffs           │\n",
        "│ ---                    │\n",
        "│ list[f64]              │\n",
        "╞════════════════════════╡\n",
-       "│ [-0.504084, -0.336834] │\n",
+       "│ [-0.504704, -0.337103] │\n",
        "└────────────────────────┘"
       ]
      },
@@ -405,26 +405,26 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (10_000, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy</th><th>coeffs</th></tr><tr><td>str</td><td>list[f64]</td></tr></thead><tbody><tr><td>&quot;a&quot;</td><td>[-0.500149, -0.342264]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.500149, -0.342264]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.500149, -0.342264]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.500149, -0.342264]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.500149, -0.342264]</td></tr><tr><td>&hellip;</td><td>&hellip;</td></tr><tr><td>&quot;b&quot;</td><td>[-0.508067, -0.331294]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.508067, -0.331294]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.508067, -0.331294]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.508067, -0.331294]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.508067, -0.331294]</td></tr></tbody></table></div>"
+       "<small>shape: (10_000, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy</th><th>lstsq_coeffs</th></tr><tr><td>str</td><td>list[f64]</td></tr></thead><tbody><tr><td>&quot;a&quot;</td><td>[-0.499809, -0.347422]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.499809, -0.347422]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.499809, -0.347422]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.499809, -0.347422]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.499809, -0.347422]</td></tr><tr><td>&hellip;</td><td>&hellip;</td></tr><tr><td>&quot;b&quot;</td><td>[-0.509563, -0.32691]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.509563, -0.32691]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.509563, -0.32691]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.509563, -0.32691]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.509563, -0.32691]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (10_000, 2)\n",
        "┌───────┬────────────────────────┐\n",
-       "│ dummy ┆ coeffs                 │\n",
+       "│ dummy ┆ lstsq_coeffs           │\n",
        "│ ---   ┆ ---                    │\n",
        "│ str   ┆ list[f64]              │\n",
        "╞═══════╪════════════════════════╡\n",
-       "│ a     ┆ [-0.500149, -0.342264] │\n",
-       "│ a     ┆ [-0.500149, -0.342264] │\n",
-       "│ a     ┆ [-0.500149, -0.342264] │\n",
-       "│ a     ┆ [-0.500149, -0.342264] │\n",
-       "│ a     ┆ [-0.500149, -0.342264] │\n",
+       "│ a     ┆ [-0.499809, -0.347422] │\n",
+       "│ a     ┆ [-0.499809, -0.347422] │\n",
+       "│ a     ┆ [-0.499809, -0.347422] │\n",
+       "│ a     ┆ [-0.499809, -0.347422] │\n",
+       "│ a     ┆ [-0.499809, -0.347422] │\n",
        "│ …     ┆ …                      │\n",
-       "│ b     ┆ [-0.508067, -0.331294] │\n",
-       "│ b     ┆ [-0.508067, -0.331294] │\n",
-       "│ b     ┆ [-0.508067, -0.331294] │\n",
-       "│ b     ┆ [-0.508067, -0.331294] │\n",
-       "│ b     ┆ [-0.508067, -0.331294] │\n",
+       "│ b     ┆ [-0.509563, -0.32691]  │\n",
+       "│ b     ┆ [-0.509563, -0.32691]  │\n",
+       "│ b     ┆ [-0.509563, -0.32691]  │\n",
+       "│ b     ┆ [-0.509563, -0.32691]  │\n",
+       "│ b     ┆ [-0.509563, -0.32691]  │\n",
        "└───────┴────────────────────────┘"
       ]
      },
@@ -460,7 +460,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 5)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>x1</th><th>x2</th><th>y</th><th>pred</th><th>resid</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.375252</td><td>0.881995</td><td>-0.309318</td><td>-0.486245</td><td>0.176927</td></tr><tr><td>0.463363</td><td>0.40801</td><td>0.068278</td><td>-0.371006</td><td>0.439283</td></tr><tr><td>0.830754</td><td>0.432502</td><td>-0.447444</td><td>-0.564452</td><td>0.117008</td></tr><tr><td>0.494657</td><td>0.382809</td><td>-1.29399</td><td>-0.378292</td><td>-0.915698</td></tr><tr><td>0.851374</td><td>0.198486</td><td>-0.987913</td><td>-0.496021</td><td>-0.491892</td></tr></tbody></table></div>"
+       "<small>shape: (5, 5)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>x1</th><th>x2</th><th>y</th><th>pred</th><th>resid</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.121634</td><td>0.763113</td><td>-0.851582</td><td>-0.318637</td><td>-0.532946</td></tr><tr><td>0.962587</td><td>0.096575</td><td>-0.83615</td><td>-0.518377</td><td>-0.317772</td></tr><tr><td>0.813999</td><td>0.460178</td><td>-0.510919</td><td>-0.565955</td><td>0.055036</td></tr><tr><td>0.977954</td><td>0.687947</td><td>-0.890152</td><td>-0.725486</td><td>-0.164666</td></tr><tr><td>0.743661</td><td>0.900544</td><td>-0.221055</td><td>-0.678904</td><td>0.457849</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 5)\n",
@@ -469,11 +469,11 @@
        "│ ---      ┆ ---      ┆ ---       ┆ ---       ┆ ---       │\n",
        "│ f64      ┆ f64      ┆ f64       ┆ f64       ┆ f64       │\n",
        "╞══════════╪══════════╪═══════════╪═══════════╪═══════════╡\n",
-       "│ 0.375252 ┆ 0.881995 ┆ -0.309318 ┆ -0.486245 ┆ 0.176927  │\n",
-       "│ 0.463363 ┆ 0.40801  ┆ 0.068278  ┆ -0.371006 ┆ 0.439283  │\n",
-       "│ 0.830754 ┆ 0.432502 ┆ -0.447444 ┆ -0.564452 ┆ 0.117008  │\n",
-       "│ 0.494657 ┆ 0.382809 ┆ -1.29399  ┆ -0.378292 ┆ -0.915698 │\n",
-       "│ 0.851374 ┆ 0.198486 ┆ -0.987913 ┆ -0.496021 ┆ -0.491892 │\n",
+       "│ 0.121634 ┆ 0.763113 ┆ -0.851582 ┆ -0.318637 ┆ -0.532946 │\n",
+       "│ 0.962587 ┆ 0.096575 ┆ -0.83615  ┆ -0.518377 ┆ -0.317772 │\n",
+       "│ 0.813999 ┆ 0.460178 ┆ -0.510919 ┆ -0.565955 ┆ 0.055036  │\n",
+       "│ 0.977954 ┆ 0.687947 ┆ -0.890152 ┆ -0.725486 ┆ -0.164666 │\n",
+       "│ 0.743661 ┆ 0.900544 ┆ -0.221055 ┆ -0.678904 ┆ 0.457849  │\n",
        "└──────────┴──────────┴───────────┴───────────┴───────────┘"
       ]
      },
@@ -513,17 +513,17 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (2, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy</th><th>coeffs</th></tr><tr><td>str</td><td>list[f64]</td></tr></thead><tbody><tr><td>&quot;b&quot;</td><td>[-0.508067, -0.331294]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.500149, -0.342264]</td></tr></tbody></table></div>"
+       "<small>shape: (2, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy</th><th>lstsq_coeffs</th></tr><tr><td>str</td><td>list[f64]</td></tr></thead><tbody><tr><td>&quot;a&quot;</td><td>[-0.499809, -0.347422]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.509563, -0.32691]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (2, 2)\n",
        "┌───────┬────────────────────────┐\n",
-       "│ dummy ┆ coeffs                 │\n",
+       "│ dummy ┆ lstsq_coeffs           │\n",
        "│ ---   ┆ ---                    │\n",
        "│ str   ┆ list[f64]              │\n",
        "╞═══════╪════════════════════════╡\n",
-       "│ b     ┆ [-0.508067, -0.331294] │\n",
-       "│ a     ┆ [-0.500149, -0.342264] │\n",
+       "│ a     ┆ [-0.499809, -0.347422] │\n",
+       "│ b     ┆ [-0.509563, -0.32691]  │\n",
        "└───────┴────────────────────────┘"
       ]
      },
@@ -558,17 +558,17 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (2, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy</th><th>coeffs</th></tr><tr><td>str</td><td>list[f64]</td></tr></thead><tbody><tr><td>&quot;a&quot;</td><td>[-0.321225, -0.172559]</td></tr><tr><td>&quot;b&quot;</td><td>[-0.338743, -0.153431]</td></tr></tbody></table></div>"
+       "<small>shape: (2, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy</th><th>lstsq_coeffs</th></tr><tr><td>str</td><td>list[f64]</td></tr></thead><tbody><tr><td>&quot;b&quot;</td><td>[-0.336282, -0.155478]</td></tr><tr><td>&quot;a&quot;</td><td>[-0.336463, -0.167543]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (2, 2)\n",
        "┌───────┬────────────────────────┐\n",
-       "│ dummy ┆ coeffs                 │\n",
+       "│ dummy ┆ lstsq_coeffs           │\n",
        "│ ---   ┆ ---                    │\n",
        "│ str   ┆ list[f64]              │\n",
        "╞═══════╪════════════════════════╡\n",
-       "│ a     ┆ [-0.321225, -0.172559] │\n",
-       "│ b     ┆ [-0.338743, -0.153431] │\n",
+       "│ b     ┆ [-0.336282, -0.155478] │\n",
+       "│ a     ┆ [-0.336463, -0.167543] │\n",
        "└───────┴────────────────────────┘"
       ]
      },
@@ -605,7 +605,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (2, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy</th><th>lasso_r2</th></tr><tr><td>str</td><td>f64</td></tr></thead><tbody><tr><td>&quot;a&quot;</td><td>-0.526524</td></tr><tr><td>&quot;b&quot;</td><td>-0.5288</td></tr></tbody></table></div>"
+       "<small>shape: (2, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy</th><th>lasso_r2</th></tr><tr><td>str</td><td>f64</td></tr></thead><tbody><tr><td>&quot;b&quot;</td><td>-0.543494</td></tr><tr><td>&quot;a&quot;</td><td>-0.534178</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (2, 2)\n",
@@ -614,8 +614,8 @@
        "│ ---   ┆ ---       │\n",
        "│ str   ┆ f64       │\n",
        "╞═══════╪═══════════╡\n",
-       "│ a     ┆ -0.526524 │\n",
-       "│ b     ┆ -0.5288   │\n",
+       "│ b     ┆ -0.543494 │\n",
+       "│ a     ┆ -0.534178 │\n",
        "└───────┴───────────┘"
       ]
      },
@@ -656,7 +656,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (10_000, 5)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>y</th><th>x1</th><th>x2</th><th>coeffs</th><th>pred</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>list[f64]</td><td>f64</td></tr></thead><tbody><tr><td>-0.309318</td><td>0.375252</td><td>0.881995</td><td>null</td><td>null</td></tr><tr><td>0.068278</td><td>0.463363</td><td>0.40801</td><td>null</td><td>null</td></tr><tr><td>-0.447444</td><td>0.830754</td><td>0.432502</td><td>null</td><td>null</td></tr><tr><td>-1.29399</td><td>0.494657</td><td>0.382809</td><td>null</td><td>null</td></tr><tr><td>-0.987913</td><td>0.851374</td><td>0.198486</td><td>[-1.027403, 0.107542]</td><td>-0.853358</td></tr><tr><td>&hellip;</td><td>&hellip;</td><td>&hellip;</td><td>&hellip;</td><td>&hellip;</td></tr><tr><td>-1.062121</td><td>0.567943</td><td>0.940267</td><td>[0.000874, -1.220791]</td><td>-1.147372</td></tr><tr><td>-1.225309</td><td>0.729136</td><td>0.208833</td><td>[-1.048079, -0.461308]</td><td>-0.860528</td></tr><tr><td>-1.05447</td><td>0.201154</td><td>0.844424</td><td>[-1.234935, -0.568308]</td><td>-0.728305</td></tr><tr><td>0.175992</td><td>0.59527</td><td>0.57844</td><td>[-0.744904, -0.61984]</td><td>-0.801959</td></tr><tr><td>-0.140526</td><td>0.333212</td><td>0.778214</td><td>[-0.810918, -0.375353]</td><td>-0.562312</td></tr></tbody></table></div>"
+       "<small>shape: (10_000, 5)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>y</th><th>x1</th><th>x2</th><th>coeffs</th><th>pred</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>list[f64]</td><td>f64</td></tr></thead><tbody><tr><td>-0.851582</td><td>0.121634</td><td>0.763113</td><td>null</td><td>null</td></tr><tr><td>-0.83615</td><td>0.962587</td><td>0.096575</td><td>null</td><td>null</td></tr><tr><td>-0.510919</td><td>0.813999</td><td>0.460178</td><td>null</td><td>null</td></tr><tr><td>-0.890152</td><td>0.977954</td><td>0.687947</td><td>null</td><td>null</td></tr><tr><td>-0.221055</td><td>0.743661</td><td>0.900544</td><td>[-0.536204, -0.362532]</td><td>-0.72523</td></tr><tr><td>&hellip;</td><td>&hellip;</td><td>&hellip;</td><td>&hellip;</td><td>&hellip;</td></tr><tr><td>-0.019252</td><td>0.086137</td><td>0.78473</td><td>[-0.859638, -0.002479]</td><td>-0.075992</td></tr><tr><td>-0.564748</td><td>0.577775</td><td>0.371494</td><td>[-1.009086, 0.089103]</td><td>-0.549923</td></tr><tr><td>-0.661185</td><td>0.895924</td><td>0.83152</td><td>[-0.957789, 0.219304]</td><td>-0.67575</td></tr><tr><td>-0.724577</td><td>0.207569</td><td>0.373584</td><td>[-0.847493, 0.016208]</td><td>-0.169858</td></tr><tr><td>-0.223634</td><td>0.315226</td><td>0.192244</td><td>[-0.799903, -0.096319]</td><td>-0.270667</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (10_000, 5)\n",
@@ -665,17 +665,17 @@
        "│ ---       ┆ ---      ┆ ---      ┆ ---                    ┆ ---       │\n",
        "│ f64       ┆ f64      ┆ f64      ┆ list[f64]              ┆ f64       │\n",
        "╞═══════════╪══════════╪══════════╪════════════════════════╪═══════════╡\n",
-       "│ -0.309318 ┆ 0.375252 ┆ 0.881995 ┆ null                   ┆ null      │\n",
-       "│ 0.068278  ┆ 0.463363 ┆ 0.40801  ┆ null                   ┆ null      │\n",
-       "│ -0.447444 ┆ 0.830754 ┆ 0.432502 ┆ null                   ┆ null      │\n",
-       "│ -1.29399  ┆ 0.494657 ┆ 0.382809 ┆ null                   ┆ null      │\n",
-       "│ -0.987913 ┆ 0.851374 ┆ 0.198486 ┆ [-1.027403, 0.107542]  ┆ -0.853358 │\n",
+       "│ -0.851582 ┆ 0.121634 ┆ 0.763113 ┆ null                   ┆ null      │\n",
+       "│ -0.83615  ┆ 0.962587 ┆ 0.096575 ┆ null                   ┆ null      │\n",
+       "│ -0.510919 ┆ 0.813999 ┆ 0.460178 ┆ null                   ┆ null      │\n",
+       "│ -0.890152 ┆ 0.977954 ┆ 0.687947 ┆ null                   ┆ null      │\n",
+       "│ -0.221055 ┆ 0.743661 ┆ 0.900544 ┆ [-0.536204, -0.362532] ┆ -0.72523  │\n",
        "│ …         ┆ …        ┆ …        ┆ …                      ┆ …         │\n",
-       "│ -1.062121 ┆ 0.567943 ┆ 0.940267 ┆ [0.000874, -1.220791]  ┆ -1.147372 │\n",
-       "│ -1.225309 ┆ 0.729136 ┆ 0.208833 ┆ [-1.048079, -0.461308] ┆ -0.860528 │\n",
-       "│ -1.05447  ┆ 0.201154 ┆ 0.844424 ┆ [-1.234935, -0.568308] ┆ -0.728305 │\n",
-       "│ 0.175992  ┆ 0.59527  ┆ 0.57844  ┆ [-0.744904, -0.61984]  ┆ -0.801959 │\n",
-       "│ -0.140526 ┆ 0.333212 ┆ 0.778214 ┆ [-0.810918, -0.375353] ┆ -0.562312 │\n",
+       "│ -0.019252 ┆ 0.086137 ┆ 0.78473  ┆ [-0.859638, -0.002479] ┆ -0.075992 │\n",
+       "│ -0.564748 ┆ 0.577775 ┆ 0.371494 ┆ [-1.009086, 0.089103]  ┆ -0.549923 │\n",
+       "│ -0.661185 ┆ 0.895924 ┆ 0.83152  ┆ [-0.957789, 0.219304]  ┆ -0.67575  │\n",
+       "│ -0.724577 ┆ 0.207569 ┆ 0.373584 ┆ [-0.847493, 0.016208]  ┆ -0.169858 │\n",
+       "│ -0.223634 ┆ 0.315226 ┆ 0.192244 ┆ [-0.799903, -0.096319] ┆ -0.270667 │\n",
        "└───────────┴──────────┴──────────┴────────────────────────┴───────────┘"
       ]
      },
@@ -756,7 +756,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th></tr><tr><td>list[f64]</td></tr></thead><tbody><tr><td>[28.935948, 28.819625, 28.595828]</td></tr></tbody></table></div>"
+       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th></tr><tr><td>list[f64]</td></tr></thead><tbody><tr><td>[29.003027, 28.800535, 28.766516]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (1, 1)\n",
@@ -765,7 +765,7 @@
        "│ ---                             │\n",
        "│ list[f64]                       │\n",
        "╞═════════════════════════════════╡\n",
-       "│ [28.935948, 28.819625, 28.5958… │\n",
+       "│ [29.003027, 28.800535, 28.7665… │\n",
        "└─────────────────────────────────┘"
       ]
      },
@@ -797,7 +797,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (2, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>singular_value</th><th>weight_vector</th></tr><tr><td>f64</td><td>list[f64]</td></tr></thead><tbody><tr><td>28.905711</td><td>[0.947839, 0.318751]</td></tr><tr><td>28.809196</td><td>[-0.318751, 0.947839]</td></tr></tbody></table></div>"
+       "<small>shape: (2, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>singular_value</th><th>weight_vector</th></tr><tr><td>f64</td><td>list[f64]</td></tr></thead><tbody><tr><td>28.989289</td><td>[-0.344595, 0.938751]</td></tr><tr><td>28.798623</td><td>[0.938751, 0.344595]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (2, 2)\n",
@@ -806,8 +806,8 @@
        "│ ---            ┆ ---                   │\n",
        "│ f64            ┆ list[f64]             │\n",
        "╞════════════════╪═══════════════════════╡\n",
-       "│ 28.905711      ┆ [0.947839, 0.318751]  │\n",
-       "│ 28.809196      ┆ [-0.318751, 0.947839] │\n",
+       "│ 28.989289      ┆ [-0.344595, 0.938751] │\n",
+       "│ 28.798623      ┆ [0.938751, 0.344595]  │\n",
        "└────────────────┴───────────────────────┘"
       ]
      },
@@ -839,7 +839,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>pc1</th></tr><tr><td>f64</td></tr></thead><tbody><tr><td>0.042494</td></tr><tr><td>0.051967</td></tr><tr><td>-0.292343</td></tr><tr><td>0.534958</td></tr><tr><td>-0.24653</td></tr></tbody></table></div>"
+       "<small>shape: (5, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>pc1</th></tr><tr><td>f64</td></tr></thead><tbody><tr><td>-0.081069</td></tr><tr><td>-0.464474</td></tr><tr><td>0.257457</td></tr><tr><td>0.108498</td></tr><tr><td>0.178948</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 1)\n",
@@ -848,11 +848,11 @@
        "│ ---       │\n",
        "│ f64       │\n",
        "╞═══════════╡\n",
-       "│ 0.042494  │\n",
-       "│ 0.051967  │\n",
-       "│ -0.292343 │\n",
-       "│ 0.534958  │\n",
-       "│ -0.24653  │\n",
+       "│ -0.081069 │\n",
+       "│ -0.464474 │\n",
+       "│ 0.257457  │\n",
+       "│ 0.108498  │\n",
+       "│ 0.178948  │\n",
        "└───────────┘"
       ]
      },
@@ -892,7 +892,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (2, 8)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy_groups</th><th>l2</th><th>log loss</th><th>precision</th><th>recall</th><th>f</th><th>average_precision</th><th>roc_auc</th></tr><tr><td>str</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;b&quot;</td><td>0.332623</td><td>1.009241</td><td>0.516993</td><td>0.503505</td><td>0.51016</td><td>0.516366</td><td>0.505279</td></tr><tr><td>&quot;a&quot;</td><td>0.335301</td><td>1.006624</td><td>0.492925</td><td>0.514356</td><td>0.503412</td><td>0.494169</td><td>0.49816</td></tr></tbody></table></div>"
+       "<small>shape: (2, 8)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>dummy_groups</th><th>l2</th><th>log loss</th><th>precision</th><th>recall</th><th>f</th><th>average_precision</th><th>roc_auc</th></tr><tr><td>str</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>&quot;b&quot;</td><td>0.333429</td><td>1.002914</td><td>0.520892</td><td>0.496904</td><td>0.508616</td><td>0.524247</td><td>0.499725</td></tr><tr><td>&quot;a&quot;</td><td>0.332551</td><td>0.994944</td><td>0.48794</td><td>0.505324</td><td>0.49648</td><td>0.489441</td><td>0.502887</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (2, 8)\n",
@@ -902,8 +902,8 @@
        "│ str          ┆ f64      ┆ f64      ┆ f64       ┆ f64      ┆ f64      ┆ ---            ┆ f64      │\n",
        "│              ┆          ┆          ┆           ┆          ┆          ┆ f64            ┆          │\n",
        "╞══════════════╪══════════╪══════════╪═══════════╪══════════╪══════════╪════════════════╪══════════╡\n",
-       "│ b            ┆ 0.332623 ┆ 1.009241 ┆ 0.516993  ┆ 0.503505 ┆ 0.51016  ┆ 0.516366       ┆ 0.505279 │\n",
-       "│ a            ┆ 0.335301 ┆ 1.006624 ┆ 0.492925  ┆ 0.514356 ┆ 0.503412 ┆ 0.494169       ┆ 0.49816  │\n",
+       "│ b            ┆ 0.333429 ┆ 1.002914 ┆ 0.520892  ┆ 0.496904 ┆ 0.508616 ┆ 0.524247       ┆ 0.499725 │\n",
+       "│ a            ┆ 0.332551 ┆ 0.994944 ┆ 0.48794   ┆ 0.505324 ┆ 0.49648  ┆ 0.489441       ┆ 0.502887 │\n",
        "└──────────────┴──────────┴──────────┴───────────┴──────────┴──────────┴────────────────┴──────────┘"
       ]
      },
@@ -991,7 +991,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>sen</th></tr><tr><td>str</td></tr></thead><tbody><tr><td>&quot;hello&quot;</td></tr><tr><td>&quot;going&quot;</td></tr><tr><td>&quot;church&quot;</td></tr><tr><td>&quot;to&quot;</td></tr><tr><td>&quot;world&quot;</td></tr></tbody></table></div>"
+       "<small>shape: (5, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>sen</th></tr><tr><td>str</td></tr></thead><tbody><tr><td>&quot;church&quot;</td></tr><tr><td>&quot;going&quot;</td></tr><tr><td>&quot;to&quot;</td></tr><tr><td>&quot;world&quot;</td></tr><tr><td>&quot;hello&quot;</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 1)\n",
@@ -1000,11 +1000,11 @@
        "│ ---    │\n",
        "│ str    │\n",
        "╞════════╡\n",
-       "│ hello  │\n",
-       "│ going  │\n",
        "│ church │\n",
+       "│ going  │\n",
        "│ to     │\n",
        "│ world  │\n",
+       "│ hello  │\n",
        "└────────┘"
       ]
      },
@@ -1036,7 +1036,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>sen</th></tr><tr><td>str</td></tr></thead><tbody><tr><td>&quot;hello&quot;</td></tr><tr><td>&quot;go&quot;</td></tr><tr><td>&quot;world&quot;</td></tr><tr><td>&quot;&quot;</td></tr><tr><td>&quot;church&quot;</td></tr></tbody></table></div>"
+       "<small>shape: (5, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>sen</th></tr><tr><td>str</td></tr></thead><tbody><tr><td>&quot;world&quot;</td></tr><tr><td>&quot;hello&quot;</td></tr><tr><td>&quot;church&quot;</td></tr><tr><td>&quot;&quot;</td></tr><tr><td>&quot;go&quot;</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 1)\n",
@@ -1045,11 +1045,11 @@
        "│ ---    │\n",
        "│ str    │\n",
        "╞════════╡\n",
-       "│ hello  │\n",
-       "│ go     │\n",
        "│ world  │\n",
-       "│        │\n",
+       "│ hello  │\n",
        "│ church │\n",
+       "│        │\n",
+       "│ go     │\n",
        "└────────┘"
       ]
      },
@@ -1377,7 +1377,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th></tr><tr><td>f64</td></tr></thead><tbody><tr><td>null</td></tr><tr><td>null</td></tr><tr><td>-1.402932</td></tr><tr><td>-1.259118</td></tr><tr><td>1.917719</td></tr></tbody></table></div>"
+       "<small>shape: (5, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th></tr><tr><td>f64</td></tr></thead><tbody><tr><td>null</td></tr><tr><td>null</td></tr><tr><td>-0.012492</td></tr><tr><td>0.595561</td></tr><tr><td>0.185681</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 1)\n",
@@ -1388,9 +1388,9 @@
        "╞═══════════╡\n",
        "│ null      │\n",
        "│ null      │\n",
-       "│ -1.402932 │\n",
-       "│ -1.259118 │\n",
-       "│ 1.917719  │\n",
+       "│ -0.012492 │\n",
+       "│ 0.595561  │\n",
+       "│ 0.185681  │\n",
        "└───────────┘"
       ]
      },
@@ -1424,7 +1424,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>random_normal</th><th>random_normal_that_respects_null_of_a</th></tr><tr><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>null</td><td>0.319249</td><td>null</td></tr><tr><td>null</td><td>-0.556602</td><td>null</td></tr><tr><td>-1.402932</td><td>1.333906</td><td>-1.471444</td></tr><tr><td>-1.259118</td><td>-1.171916</td><td>0.680943</td></tr><tr><td>1.917719</td><td>0.556111</td><td>0.603619</td></tr></tbody></table></div>"
+       "<small>shape: (5, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>random_normal</th><th>random_normal_that_respects_null_of_a</th></tr><tr><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>null</td><td>2.978394</td><td>null</td></tr><tr><td>null</td><td>0.970464</td><td>null</td></tr><tr><td>-0.012492</td><td>-0.072767</td><td>0.292304</td></tr><tr><td>0.595561</td><td>0.286816</td><td>1.661764</td></tr><tr><td>0.185681</td><td>0.591648</td><td>1.802518</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 3)\n",
@@ -1433,11 +1433,11 @@
        "│ ---       ┆ ---           ┆ ---                             │\n",
        "│ f64       ┆ f64           ┆ f64                             │\n",
        "╞═══════════╪═══════════════╪═════════════════════════════════╡\n",
-       "│ null      ┆ 0.319249      ┆ null                            │\n",
-       "│ null      ┆ -0.556602     ┆ null                            │\n",
-       "│ -1.402932 ┆ 1.333906      ┆ -1.471444                       │\n",
-       "│ -1.259118 ┆ -1.171916     ┆ 0.680943                        │\n",
-       "│ 1.917719  ┆ 0.556111      ┆ 0.603619                        │\n",
+       "│ null      ┆ 2.978394      ┆ null                            │\n",
+       "│ null      ┆ 0.970464      ┆ null                            │\n",
+       "│ -0.012492 ┆ -0.072767     ┆ 0.292304                        │\n",
+       "│ 0.595561  ┆ 0.286816      ┆ 1.661764                        │\n",
+       "│ 0.185681  ┆ 0.591648      ┆ 1.802518                        │\n",
        "└───────────┴───────────────┴─────────────────────────────────┘"
       ]
      },
@@ -1472,7 +1472,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>random_str</th><th>random_str_that_respects_null_of_a</th></tr><tr><td>f64</td><td>str</td><td>str</td></tr></thead><tbody><tr><td>null</td><td>&quot;TA1&quot;</td><td>null</td></tr><tr><td>null</td><td>&quot;gmH&quot;</td><td>null</td></tr><tr><td>-1.402932</td><td>&quot;9cy&quot;</td><td>&quot;dW&quot;</td></tr><tr><td>-1.259118</td><td>&quot;kavq&quot;</td><td>&quot;a&quot;</td></tr><tr><td>1.917719</td><td>&quot;7X&quot;</td><td>&quot;uUWp&quot;</td></tr></tbody></table></div>"
+       "<small>shape: (5, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>random_str</th><th>random_str_that_respects_null_of_a</th></tr><tr><td>f64</td><td>str</td><td>str</td></tr></thead><tbody><tr><td>null</td><td>&quot;8kwTY&quot;</td><td>null</td></tr><tr><td>null</td><td>&quot;kMp&quot;</td><td>null</td></tr><tr><td>-0.012492</td><td>&quot;Rc37s&quot;</td><td>&quot;W1&quot;</td></tr><tr><td>0.595561</td><td>&quot;5&quot;</td><td>&quot;Xj5GN&quot;</td></tr><tr><td>0.185681</td><td>&quot;v7fD&quot;</td><td>&quot;1buvo&quot;</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 3)\n",
@@ -1481,11 +1481,11 @@
        "│ ---       ┆ ---        ┆ ---                             │\n",
        "│ f64       ┆ str        ┆ str                             │\n",
        "╞═══════════╪════════════╪═════════════════════════════════╡\n",
-       "│ null      ┆ TA1        ┆ null                            │\n",
-       "│ null      ┆ gmH        ┆ null                            │\n",
-       "│ -1.402932 ┆ 9cy        ┆ dW                              │\n",
-       "│ -1.259118 ┆ kavq       ┆ a                               │\n",
-       "│ 1.917719  ┆ 7X         ┆ uUWp                            │\n",
+       "│ null      ┆ 8kwTY      ┆ null                            │\n",
+       "│ null      ┆ kMp        ┆ null                            │\n",
+       "│ -0.012492 ┆ Rc37s      ┆ W1                              │\n",
+       "│ 0.595561  ┆ 5          ┆ Xj5GN                           │\n",
+       "│ 0.185681  ┆ v7fD       ┆ 1buvo                           │\n",
        "└───────────┴────────────┴─────────────────────────────────┘"
       ]
      },
@@ -1520,7 +1520,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>random_str</th></tr><tr><td>f64</td><td>str</td></tr></thead><tbody><tr><td>null</td><td>null</td></tr><tr><td>null</td><td>null</td></tr><tr><td>-1.402932</td><td>&quot;l3LAK&quot;</td></tr><tr><td>-1.259118</td><td>&quot;ZuJYd&quot;</td></tr><tr><td>1.917719</td><td>&quot;gsQlg&quot;</td></tr></tbody></table></div>"
+       "<small>shape: (5, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>random_str</th></tr><tr><td>f64</td><td>str</td></tr></thead><tbody><tr><td>null</td><td>null</td></tr><tr><td>null</td><td>null</td></tr><tr><td>-0.012492</td><td>&quot;kecis&quot;</td></tr><tr><td>0.595561</td><td>&quot;u9Vh3&quot;</td></tr><tr><td>0.185681</td><td>&quot;0adxI&quot;</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 2)\n",
@@ -1531,9 +1531,9 @@
        "╞═══════════╪════════════╡\n",
        "│ null      ┆ null       │\n",
        "│ null      ┆ null       │\n",
-       "│ -1.402932 ┆ l3LAK      │\n",
-       "│ -1.259118 ┆ ZuJYd      │\n",
-       "│ 1.917719  ┆ gsQlg      │\n",
+       "│ -0.012492 ┆ kecis      │\n",
+       "│ 0.595561  ┆ u9Vh3      │\n",
+       "│ 0.185681  ┆ 0adxI      │\n",
        "└───────────┴────────────┘"
       ]
      },
@@ -1567,7 +1567,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>test1</th><th>literal</th><th>test1_perturbed</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>null</td><td>-0.597323</td><td>null</td><td>-0.597315</td></tr><tr><td>null</td><td>-0.603972</td><td>null</td><td>-0.60384</td></tr><tr><td>-1.402932</td><td>1.237547</td><td>1.620943</td><td>1.237837</td></tr><tr><td>-1.259118</td><td>0.314343</td><td>0.008727</td><td>0.314366</td></tr><tr><td>1.917719</td><td>0.297839</td><td>3.227741</td><td>0.29761</td></tr></tbody></table></div>"
+       "<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>test1</th><th>literal</th><th>test1_perturbed</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>null</td><td>-0.261042</td><td>null</td><td>-0.261344</td></tr><tr><td>null</td><td>-0.527867</td><td>null</td><td>-0.527969</td></tr><tr><td>-0.012492</td><td>-0.631845</td><td>2.562054</td><td>-0.631728</td></tr><tr><td>0.595561</td><td>0.673208</td><td>1.030199</td><td>0.672906</td></tr><tr><td>0.185681</td><td>0.572215</td><td>2.065594</td><td>0.572634</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 4)\n",
@@ -1576,11 +1576,11 @@
        "│ ---       ┆ ---       ┆ ---      ┆ ---             │\n",
        "│ f64       ┆ f64       ┆ f64      ┆ f64             │\n",
        "╞═══════════╪═══════════╪══════════╪═════════════════╡\n",
-       "│ null      ┆ -0.597323 ┆ null     ┆ -0.597315       │\n",
-       "│ null      ┆ -0.603972 ┆ null     ┆ -0.60384        │\n",
-       "│ -1.402932 ┆ 1.237547  ┆ 1.620943 ┆ 1.237837        │\n",
-       "│ -1.259118 ┆ 0.314343  ┆ 0.008727 ┆ 0.314366        │\n",
-       "│ 1.917719  ┆ 0.297839  ┆ 3.227741 ┆ 0.29761         │\n",
+       "│ null      ┆ -0.261042 ┆ null     ┆ -0.261344       │\n",
+       "│ null      ┆ -0.527867 ┆ null     ┆ -0.527969       │\n",
+       "│ -0.012492 ┆ -0.631845 ┆ 2.562054 ┆ -0.631728       │\n",
+       "│ 0.595561  ┆ 0.673208  ┆ 1.030199 ┆ 0.672906        │\n",
+       "│ 0.185681  ┆ 0.572215  ┆ 2.065594 ┆ 0.572634        │\n",
        "└───────────┴───────────┴──────────┴─────────────────┘"
       ]
      },
@@ -1619,7 +1619,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>[0, 1)</th><th>Normal</th><th>Int from [0, 10)</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>i32</td></tr></thead><tbody><tr><td>null</td><td>0.733562</td><td>1.097824</td><td>3</td></tr><tr><td>null</td><td>0.137709</td><td>0.559485</td><td>0</td></tr><tr><td>-1.402932</td><td>0.822002</td><td>0.107044</td><td>3</td></tr><tr><td>-1.259118</td><td>0.678968</td><td>-0.861539</td><td>1</td></tr><tr><td>1.917719</td><td>0.349169</td><td>0.917781</td><td>0</td></tr></tbody></table></div>"
+       "<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>a</th><th>[0, 1)</th><th>Normal</th><th>Int from [0, 10)</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>i32</td></tr></thead><tbody><tr><td>null</td><td>0.106948</td><td>0.427388</td><td>5</td></tr><tr><td>null</td><td>0.095822</td><td>-0.798821</td><td>9</td></tr><tr><td>-0.012492</td><td>0.388392</td><td>-0.185242</td><td>2</td></tr><tr><td>0.595561</td><td>0.042763</td><td>0.802807</td><td>4</td></tr><tr><td>0.185681</td><td>0.321888</td><td>0.277879</td><td>2</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 4)\n",
@@ -1628,11 +1628,11 @@
        "│ ---       ┆ ---      ┆ ---       ┆ ---              │\n",
        "│ f64       ┆ f64      ┆ f64       ┆ i32              │\n",
        "╞═══════════╪══════════╪═══════════╪══════════════════╡\n",
-       "│ null      ┆ 0.733562 ┆ 1.097824  ┆ 3                │\n",
-       "│ null      ┆ 0.137709 ┆ 0.559485  ┆ 0                │\n",
-       "│ -1.402932 ┆ 0.822002 ┆ 0.107044  ┆ 3                │\n",
-       "│ -1.259118 ┆ 0.678968 ┆ -0.861539 ┆ 1                │\n",
-       "│ 1.917719  ┆ 0.349169 ┆ 0.917781  ┆ 0                │\n",
+       "│ null      ┆ 0.106948 ┆ 0.427388  ┆ 5                │\n",
+       "│ null      ┆ 0.095822 ┆ -0.798821 ┆ 9                │\n",
+       "│ -0.012492 ┆ 0.388392 ┆ -0.185242 ┆ 2                │\n",
+       "│ 0.595561  ┆ 0.042763 ┆ 0.802807  ┆ 4                │\n",
+       "│ 0.185681  ┆ 0.321888 ┆ 0.277879  ┆ 2                │\n",
        "└───────────┴──────────┴───────────┴──────────────────┘"
       ]
      },
@@ -1667,7 +1667,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (1, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>t-tests: statistics</th><th>t-tests: pvalue</th><th>normality_test: statistics</th><th>normality_test: pvalue</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>1.415335</td><td>0.157179</td><td>3.687327</td><td>0.158237</td></tr></tbody></table></div>"
+       "<small>shape: (1, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>t-tests: statistics</th><th>t-tests: pvalue</th><th>normality_test: statistics</th><th>normality_test: pvalue</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.57873</td><td>0.562857</td><td>7.284288</td><td>0.026196</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (1, 4)\n",
@@ -1676,7 +1676,7 @@
        "│ ---                 ┆ ---             ┆ ---                        ┆ ---                    │\n",
        "│ f64                 ┆ f64             ┆ f64                        ┆ f64                    │\n",
        "╞═════════════════════╪═════════════════╪════════════════════════════╪════════════════════════╡\n",
-       "│ 1.415335            ┆ 0.157179        ┆ 3.687327                   ┆ 0.158237               │\n",
+       "│ 0.57873             ┆ 0.562857        ┆ 7.284288                   ┆ 0.026196               │\n",
        "└─────────────────────┴─────────────────┴────────────────────────────┴────────────────────────┘"
       ]
      },
@@ -1720,7 +1720,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 5)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>market_id</th><th>var1</th><th>var2</th><th>category_1</th><th>category_2</th></tr><tr><td>i64</td><td>f64</td><td>f64</td><td>i32</td><td>i32</td></tr></thead><tbody><tr><td>0</td><td>0.874512</td><td>0.532159</td><td>0</td><td>3</td></tr><tr><td>1</td><td>0.182455</td><td>0.849439</td><td>3</td><td>4</td></tr><tr><td>2</td><td>0.129595</td><td>0.998405</td><td>3</td><td>7</td></tr><tr><td>0</td><td>0.890222</td><td>0.848518</td><td>3</td><td>3</td></tr><tr><td>1</td><td>0.184214</td><td>0.88866</td><td>2</td><td>1</td></tr></tbody></table></div>"
+       "<small>shape: (5, 5)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>market_id</th><th>var1</th><th>var2</th><th>category_1</th><th>category_2</th></tr><tr><td>i64</td><td>f64</td><td>f64</td><td>i32</td><td>i32</td></tr></thead><tbody><tr><td>0</td><td>0.099163</td><td>0.187826</td><td>3</td><td>1</td></tr><tr><td>1</td><td>0.212648</td><td>0.759222</td><td>4</td><td>2</td></tr><tr><td>2</td><td>0.698327</td><td>0.597246</td><td>1</td><td>6</td></tr><tr><td>0</td><td>0.445486</td><td>0.3729</td><td>4</td><td>4</td></tr><tr><td>1</td><td>0.649741</td><td>0.974461</td><td>4</td><td>9</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 5)\n",
@@ -1729,11 +1729,11 @@
        "│ ---       ┆ ---      ┆ ---      ┆ ---        ┆ ---        │\n",
        "│ i64       ┆ f64      ┆ f64      ┆ i32        ┆ i32        │\n",
        "╞═══════════╪══════════╪══════════╪════════════╪════════════╡\n",
-       "│ 0         ┆ 0.874512 ┆ 0.532159 ┆ 0          ┆ 3          │\n",
-       "│ 1         ┆ 0.182455 ┆ 0.849439 ┆ 3          ┆ 4          │\n",
-       "│ 2         ┆ 0.129595 ┆ 0.998405 ┆ 3          ┆ 7          │\n",
-       "│ 0         ┆ 0.890222 ┆ 0.848518 ┆ 3          ┆ 3          │\n",
-       "│ 1         ┆ 0.184214 ┆ 0.88866  ┆ 2          ┆ 1          │\n",
+       "│ 0         ┆ 0.099163 ┆ 0.187826 ┆ 3          ┆ 1          │\n",
+       "│ 1         ┆ 0.212648 ┆ 0.759222 ┆ 4          ┆ 2          │\n",
+       "│ 2         ┆ 0.698327 ┆ 0.597246 ┆ 1          ┆ 6          │\n",
+       "│ 0         ┆ 0.445486 ┆ 0.3729   ┆ 4          ┆ 4          │\n",
+       "│ 1         ┆ 0.649741 ┆ 0.974461 ┆ 4          ┆ 9          │\n",
        "└───────────┴──────────┴──────────┴────────────┴────────────┘"
       ]
      },
@@ -1773,7 +1773,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (1, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>t-test</th><th>chi2-test</th><th>f-test</th></tr><tr><td>struct[2]</td><td>struct[2]</td><td>struct[2]</td></tr></thead><tbody><tr><td>{0.382819,0.701862}</td><td>{30.300258,0.736013}</td><td>{1.302779,0.266475}</td></tr></tbody></table></div>"
+       "<small>shape: (1, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>t-test</th><th>chi2-test</th><th>f-test</th></tr><tr><td>struct[2]</td><td>struct[2]</td><td>struct[2]</td></tr></thead><tbody><tr><td>{-0.03261,0.973986}</td><td>{27.618037,0.840533}</td><td>{0.849663,0.493529}</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (1, 3)\n",
@@ -1782,7 +1782,7 @@
        "│ ---                 ┆ ---                  ┆ ---                 │\n",
        "│ struct[2]           ┆ struct[2]            ┆ struct[2]           │\n",
        "╞═════════════════════╪══════════════════════╪═════════════════════╡\n",
-       "│ {0.382819,0.701862} ┆ {30.300258,0.736013} ┆ {1.302779,0.266475} │\n",
+       "│ {-0.03261,0.973986} ┆ {27.618037,0.840533} ┆ {0.849663,0.493529} │\n",
        "└─────────────────────┴──────────────────────┴─────────────────────┘"
       ]
      },
@@ -1811,15 +1811,15 @@
      "output_type": "stream",
      "text": [
       "shape: (3, 4)\n",
-      "┌───────────┬─────────────────────┬──────────────────────┬─────────────────────┐\n",
-      "│ market_id ┆ t-test              ┆ chi2-test            ┆ f-test              │\n",
-      "│ ---       ┆ ---                 ┆ ---                  ┆ ---                 │\n",
-      "│ i64       ┆ struct[2]           ┆ struct[2]            ┆ struct[2]           │\n",
-      "╞═══════════╪═════════════════════╪══════════════════════╪═════════════════════╡\n",
-      "│ 0         ┆ {-0.59735,0.550314} ┆ {50.692756,0.053027} ┆ {0.185401,0.946065} │\n",
-      "│ 1         ┆ {0.750403,0.453065} ┆ {34.32586,0.548339}  ┆ {1.868009,0.113496} │\n",
-      "│ 2         ┆ {0.518838,0.603908} ┆ {35.215448,0.505716} ┆ {1.393921,0.233671} │\n",
-      "└───────────┴─────────────────────┴──────────────────────┴─────────────────────┘\n"
+      "┌───────────┬──────────────────────┬──────────────────────┬─────────────────────┐\n",
+      "│ market_id ┆ t-test               ┆ chi2-test            ┆ f-test              │\n",
+      "│ ---       ┆ ---                  ┆ ---                  ┆ ---                 │\n",
+      "│ i64       ┆ struct[2]            ┆ struct[2]            ┆ struct[2]           │\n",
+      "╞═══════════╪══════════════════════╪══════════════════════╪═════════════════════╡\n",
+      "│ 0         ┆ {1.320059,0.186906}  ┆ {36.690713,0.436664} ┆ {0.2116,0.932081}   │\n",
+      "│ 1         ┆ {-0.123313,0.901867} ┆ {29.961059,0.750506} ┆ {1.363618,0.244265} │\n",
+      "│ 2         ┆ {-1.237752,0.215895} ┆ {26.494933,0.876345} ┆ {0.36564,0.833211}  │\n",
+      "└───────────┴──────────────────────┴──────────────────────┴─────────────────────┘\n"
      ]
     }
    ],
@@ -1850,7 +1850,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (9, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>first_digit_cnt</th><th>first_digit_distribution</th></tr><tr><td>u32</td><td>f64</td></tr></thead><tbody><tr><td>511</td><td>0.1022</td></tr><tr><td>545</td><td>0.109</td></tr><tr><td>545</td><td>0.109</td></tr><tr><td>575</td><td>0.115</td></tr><tr><td>571</td><td>0.1142</td></tr><tr><td>562</td><td>0.1124</td></tr><tr><td>574</td><td>0.1148</td></tr><tr><td>544</td><td>0.1088</td></tr><tr><td>573</td><td>0.1146</td></tr></tbody></table></div>"
+       "<small>shape: (9, 2)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>first_digit_cnt</th><th>first_digit_distribution</th></tr><tr><td>u32</td><td>f64</td></tr></thead><tbody><tr><td>567</td><td>0.1134</td></tr><tr><td>558</td><td>0.1116</td></tr><tr><td>567</td><td>0.1134</td></tr><tr><td>564</td><td>0.1128</td></tr><tr><td>544</td><td>0.1088</td></tr><tr><td>588</td><td>0.1176</td></tr><tr><td>529</td><td>0.1058</td></tr><tr><td>548</td><td>0.1096</td></tr><tr><td>535</td><td>0.107</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (9, 2)\n",
@@ -1859,15 +1859,15 @@
        "│ ---             ┆ ---                      │\n",
        "│ u32             ┆ f64                      │\n",
        "╞═════════════════╪══════════════════════════╡\n",
-       "│ 511             ┆ 0.1022                   │\n",
-       "│ 545             ┆ 0.109                    │\n",
-       "│ 545             ┆ 0.109                    │\n",
-       "│ 575             ┆ 0.115                    │\n",
-       "│ 571             ┆ 0.1142                   │\n",
-       "│ 562             ┆ 0.1124                   │\n",
-       "│ 574             ┆ 0.1148                   │\n",
+       "│ 567             ┆ 0.1134                   │\n",
+       "│ 558             ┆ 0.1116                   │\n",
+       "│ 567             ┆ 0.1134                   │\n",
+       "│ 564             ┆ 0.1128                   │\n",
        "│ 544             ┆ 0.1088                   │\n",
-       "│ 573             ┆ 0.1146                   │\n",
+       "│ 588             ┆ 0.1176                   │\n",
+       "│ 529             ┆ 0.1058                   │\n",
+       "│ 548             ┆ 0.1096                   │\n",
+       "│ 535             ┆ 0.107                    │\n",
        "└─────────────────┴──────────────────────────┘"
       ]
      },
@@ -1933,7 +1933,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 7)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th><th>nb_l_inf_cnt</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>u32</td></tr></thead><tbody><tr><td>0</td><td>0.520135</td><td>0.023887</td><td>0.424417</td><td>0.616866</td><td>7.166066</td><td>9</td></tr><tr><td>1</td><td>0.362396</td><td>0.6973</td><td>0.919444</td><td>0.291983</td><td>6.803053</td><td>12</td></tr><tr><td>2</td><td>0.208545</td><td>0.823846</td><td>0.981867</td><td>0.663537</td><td>7.166631</td><td>14</td></tr><tr><td>3</td><td>0.909944</td><td>0.970713</td><td>0.45529</td><td>0.290241</td><td>6.290227</td><td>5</td></tr><tr><td>4</td><td>0.924506</td><td>0.957152</td><td>0.86393</td><td>0.261618</td><td>8.396401</td><td>14</td></tr></tbody></table></div>"
+       "<small>shape: (5, 7)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th><th>nb_l_inf_cnt</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>u32</td></tr></thead><tbody><tr><td>0</td><td>0.481702</td><td>0.566173</td><td>0.69857</td><td>0.458351</td><td>7.900392</td><td>14</td></tr><tr><td>1</td><td>0.176238</td><td>0.691061</td><td>0.38883</td><td>0.873326</td><td>9.814184</td><td>22</td></tr><tr><td>2</td><td>0.201282</td><td>0.876521</td><td>0.566095</td><td>0.046258</td><td>3.17553</td><td>20</td></tr><tr><td>3</td><td>0.859807</td><td>0.967636</td><td>0.785815</td><td>0.804368</td><td>9.882445</td><td>11</td></tr><tr><td>4</td><td>0.064274</td><td>0.618677</td><td>0.463781</td><td>0.232584</td><td>8.62535</td><td>20</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 7)\n",
@@ -1942,11 +1942,11 @@
        "│ --- ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---          │\n",
        "│ u32 ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ u32          │\n",
        "╞═════╪══════════╪══════════╪══════════╪══════════╪══════════╪══════════════╡\n",
-       "│ 0   ┆ 0.520135 ┆ 0.023887 ┆ 0.424417 ┆ 0.616866 ┆ 7.166066 ┆ 9            │\n",
-       "│ 1   ┆ 0.362396 ┆ 0.6973   ┆ 0.919444 ┆ 0.291983 ┆ 6.803053 ┆ 12           │\n",
-       "│ 2   ┆ 0.208545 ┆ 0.823846 ┆ 0.981867 ┆ 0.663537 ┆ 7.166631 ┆ 14           │\n",
-       "│ 3   ┆ 0.909944 ┆ 0.970713 ┆ 0.45529  ┆ 0.290241 ┆ 6.290227 ┆ 5            │\n",
-       "│ 4   ┆ 0.924506 ┆ 0.957152 ┆ 0.86393  ┆ 0.261618 ┆ 8.396401 ┆ 14           │\n",
+       "│ 0   ┆ 0.481702 ┆ 0.566173 ┆ 0.69857  ┆ 0.458351 ┆ 7.900392 ┆ 14           │\n",
+       "│ 1   ┆ 0.176238 ┆ 0.691061 ┆ 0.38883  ┆ 0.873326 ┆ 9.814184 ┆ 22           │\n",
+       "│ 2   ┆ 0.201282 ┆ 0.876521 ┆ 0.566095 ┆ 0.046258 ┆ 3.17553  ┆ 20           │\n",
+       "│ 3   ┆ 0.859807 ┆ 0.967636 ┆ 0.785815 ┆ 0.804368 ┆ 9.882445 ┆ 11           │\n",
+       "│ 4   ┆ 0.064274 ┆ 0.618677 ┆ 0.463781 ┆ 0.232584 ┆ 8.62535  ┆ 20           │\n",
        "└─────┴──────────┴──────────┴──────────┴──────────┴──────────┴──────────────┘"
       ]
      },
@@ -1983,7 +1983,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 7)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th><th>nb_l1_r_cnt</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>u32</td></tr></thead><tbody><tr><td>0</td><td>0.520135</td><td>0.023887</td><td>0.424417</td><td>0.616866</td><td>7.166066</td><td>309</td></tr><tr><td>1</td><td>0.362396</td><td>0.6973</td><td>0.919444</td><td>0.291983</td><td>6.803053</td><td>52</td></tr><tr><td>2</td><td>0.208545</td><td>0.823846</td><td>0.981867</td><td>0.663537</td><td>7.166631</td><td>293</td></tr><tr><td>3</td><td>0.909944</td><td>0.970713</td><td>0.45529</td><td>0.290241</td><td>6.290227</td><td>47</td></tr><tr><td>4</td><td>0.924506</td><td>0.957152</td><td>0.86393</td><td>0.261618</td><td>8.396401</td><td>25</td></tr></tbody></table></div>"
+       "<small>shape: (5, 7)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th><th>nb_l1_r_cnt</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>u32</td></tr></thead><tbody><tr><td>0</td><td>0.481702</td><td>0.566173</td><td>0.69857</td><td>0.458351</td><td>7.900392</td><td>233</td></tr><tr><td>1</td><td>0.176238</td><td>0.691061</td><td>0.38883</td><td>0.873326</td><td>9.814184</td><td>968</td></tr><tr><td>2</td><td>0.201282</td><td>0.876521</td><td>0.566095</td><td>0.046258</td><td>3.17553</td><td>1</td></tr><tr><td>3</td><td>0.859807</td><td>0.967636</td><td>0.785815</td><td>0.804368</td><td>9.882445</td><td>421</td></tr><tr><td>4</td><td>0.064274</td><td>0.618677</td><td>0.463781</td><td>0.232584</td><td>8.62535</td><td>32</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 7)\n",
@@ -1992,11 +1992,11 @@
        "│ --- ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---         │\n",
        "│ u32 ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ u32         │\n",
        "╞═════╪══════════╪══════════╪══════════╪══════════╪══════════╪═════════════╡\n",
-       "│ 0   ┆ 0.520135 ┆ 0.023887 ┆ 0.424417 ┆ 0.616866 ┆ 7.166066 ┆ 309         │\n",
-       "│ 1   ┆ 0.362396 ┆ 0.6973   ┆ 0.919444 ┆ 0.291983 ┆ 6.803053 ┆ 52          │\n",
-       "│ 2   ┆ 0.208545 ┆ 0.823846 ┆ 0.981867 ┆ 0.663537 ┆ 7.166631 ┆ 293         │\n",
-       "│ 3   ┆ 0.909944 ┆ 0.970713 ┆ 0.45529  ┆ 0.290241 ┆ 6.290227 ┆ 47          │\n",
-       "│ 4   ┆ 0.924506 ┆ 0.957152 ┆ 0.86393  ┆ 0.261618 ┆ 8.396401 ┆ 25          │\n",
+       "│ 0   ┆ 0.481702 ┆ 0.566173 ┆ 0.69857  ┆ 0.458351 ┆ 7.900392 ┆ 233         │\n",
+       "│ 1   ┆ 0.176238 ┆ 0.691061 ┆ 0.38883  ┆ 0.873326 ┆ 9.814184 ┆ 968         │\n",
+       "│ 2   ┆ 0.201282 ┆ 0.876521 ┆ 0.566095 ┆ 0.046258 ┆ 3.17553  ┆ 1           │\n",
+       "│ 3   ┆ 0.859807 ┆ 0.967636 ┆ 0.785815 ┆ 0.804368 ┆ 9.882445 ┆ 421         │\n",
+       "│ 4   ┆ 0.064274 ┆ 0.618677 ┆ 0.463781 ┆ 0.232584 ┆ 8.62535  ┆ 32          │\n",
        "└─────┴──────────┴──────────┴──────────┴──────────┴──────────┴─────────────┘"
       ]
      },
@@ -2032,7 +2032,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 7)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th><th>best friends</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>list[u32]</td></tr></thead><tbody><tr><td>0</td><td>0.520135</td><td>0.023887</td><td>0.424417</td><td>0.616866</td><td>7.166066</td><td>[0, 321, … 1795]</td></tr><tr><td>1</td><td>0.362396</td><td>0.6973</td><td>0.919444</td><td>0.291983</td><td>6.803053</td><td>[1, 1156, … 1536]</td></tr><tr><td>2</td><td>0.208545</td><td>0.823846</td><td>0.981867</td><td>0.663537</td><td>7.166631</td><td>[2, 1752, … 1374]</td></tr><tr><td>3</td><td>0.909944</td><td>0.970713</td><td>0.45529</td><td>0.290241</td><td>6.290227</td><td>[3, 875, … 1469]</td></tr><tr><td>4</td><td>0.924506</td><td>0.957152</td><td>0.86393</td><td>0.261618</td><td>8.396401</td><td>[4, 1537, … 1375]</td></tr></tbody></table></div>"
+       "<small>shape: (5, 7)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th><th>best friends</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>list[u32]</td></tr></thead><tbody><tr><td>0</td><td>0.481702</td><td>0.566173</td><td>0.69857</td><td>0.458351</td><td>7.900392</td><td>[0, 1220, … 61]</td></tr><tr><td>1</td><td>0.176238</td><td>0.691061</td><td>0.38883</td><td>0.873326</td><td>9.814184</td><td>[1, 1919, … 1438]</td></tr><tr><td>2</td><td>0.201282</td><td>0.876521</td><td>0.566095</td><td>0.046258</td><td>3.17553</td><td>[2, 1530, … 1511]</td></tr><tr><td>3</td><td>0.859807</td><td>0.967636</td><td>0.785815</td><td>0.804368</td><td>9.882445</td><td>[3, 1734, … 838]</td></tr><tr><td>4</td><td>0.064274</td><td>0.618677</td><td>0.463781</td><td>0.232584</td><td>8.62535</td><td>[4, 348, … 307]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 7)\n",
@@ -2041,11 +2041,11 @@
        "│ --- ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---               │\n",
        "│ u32 ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ list[u32]         │\n",
        "╞═════╪══════════╪══════════╪══════════╪══════════╪══════════╪═══════════════════╡\n",
-       "│ 0   ┆ 0.520135 ┆ 0.023887 ┆ 0.424417 ┆ 0.616866 ┆ 7.166066 ┆ [0, 321, … 1795]  │\n",
-       "│ 1   ┆ 0.362396 ┆ 0.6973   ┆ 0.919444 ┆ 0.291983 ┆ 6.803053 ┆ [1, 1156, … 1536] │\n",
-       "│ 2   ┆ 0.208545 ┆ 0.823846 ┆ 0.981867 ┆ 0.663537 ┆ 7.166631 ┆ [2, 1752, … 1374] │\n",
-       "│ 3   ┆ 0.909944 ┆ 0.970713 ┆ 0.45529  ┆ 0.290241 ┆ 6.290227 ┆ [3, 875, … 1469]  │\n",
-       "│ 4   ┆ 0.924506 ┆ 0.957152 ┆ 0.86393  ┆ 0.261618 ┆ 8.396401 ┆ [4, 1537, … 1375] │\n",
+       "│ 0   ┆ 0.481702 ┆ 0.566173 ┆ 0.69857  ┆ 0.458351 ┆ 7.900392 ┆ [0, 1220, … 61]   │\n",
+       "│ 1   ┆ 0.176238 ┆ 0.691061 ┆ 0.38883  ┆ 0.873326 ┆ 9.814184 ┆ [1, 1919, … 1438] │\n",
+       "│ 2   ┆ 0.201282 ┆ 0.876521 ┆ 0.566095 ┆ 0.046258 ┆ 3.17553  ┆ [2, 1530, … 1511] │\n",
+       "│ 3   ┆ 0.859807 ┆ 0.967636 ┆ 0.785815 ┆ 0.804368 ┆ 9.882445 ┆ [3, 1734, … 838]  │\n",
+       "│ 4   ┆ 0.064274 ┆ 0.618677 ┆ 0.463781 ┆ 0.232584 ┆ 8.62535  ┆ [4, 348, … 307]   │\n",
        "└─────┴──────────┴──────────┴──────────┴──────────┴──────────┴───────────────────┘"
       ]
      },
@@ -2084,11 +2084,11 @@
       "│ --- ┆ ---               ┆ ---                │\n",
       "│ u32 ┆ list[u32]         ┆ u32                │\n",
       "╞═════╪═══════════════════╪════════════════════╡\n",
-      "│ 0   ┆ [0, 321, … 678]   ┆ 8                  │\n",
-      "│ 1   ┆ [1, 1156, … 1028] ┆ 7                  │\n",
-      "│ 2   ┆ [2, 1752, … 1454] ┆ 6                  │\n",
-      "│ 3   ┆ [3, 875]          ┆ 1                  │\n",
-      "│ 4   ┆ [4, 1537, … 1932] ┆ 10                 │\n",
+      "│ 0   ┆ [0, 1220, … 687]  ┆ 4                  │\n",
+      "│ 1   ┆ [1, 1919, … 254]  ┆ 14                 │\n",
+      "│ 2   ┆ [2, 1530, … 1457] ┆ 8                  │\n",
+      "│ 3   ┆ [3, 1734, … 820]  ┆ 5                  │\n",
+      "│ 4   ┆ [4, 348, … 1888]  ┆ 13                 │\n",
       "└─────┴───────────────────┴────────────────────┘\n"
      ]
     }
@@ -2129,7 +2129,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 8)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th><th>idx</th><th>dist</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>list[u32]</td><td>list[f64]</td></tr></thead><tbody><tr><td>0</td><td>0.520135</td><td>0.023887</td><td>0.424417</td><td>0.616866</td><td>7.166066</td><td>[0, 321, … 1795]</td><td>[0.0, 0.058375, … 0.067274]</td></tr><tr><td>1</td><td>0.362396</td><td>0.6973</td><td>0.919444</td><td>0.291983</td><td>6.803053</td><td>[1, 1156, … 1536]</td><td>[0.0, 0.04118, … 0.058766]</td></tr><tr><td>2</td><td>0.208545</td><td>0.823846</td><td>0.981867</td><td>0.663537</td><td>7.166631</td><td>[2, 1752, … 1374]</td><td>[0.0, 0.028817, … 0.054837]</td></tr><tr><td>3</td><td>0.909944</td><td>0.970713</td><td>0.45529</td><td>0.290241</td><td>6.290227</td><td>[3, 875, … 1469]</td><td>[0.0, 0.090139, … 0.109005]</td></tr><tr><td>4</td><td>0.924506</td><td>0.957152</td><td>0.86393</td><td>0.261618</td><td>8.396401</td><td>[4, 1537, … 1375]</td><td>[0.0, 0.039451, … 0.051298]</td></tr></tbody></table></div>"
+       "<small>shape: (5, 8)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th><th>idx</th><th>dist</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>list[u32]</td><td>list[f64]</td></tr></thead><tbody><tr><td>0</td><td>0.481702</td><td>0.566173</td><td>0.69857</td><td>0.458351</td><td>7.900392</td><td>[0, 1220, … 61]</td><td>[0.0, 0.033199, … 0.060468]</td></tr><tr><td>1</td><td>0.176238</td><td>0.691061</td><td>0.38883</td><td>0.873326</td><td>9.814184</td><td>[1, 1919, … 1438]</td><td>[0.0, 0.022711, … 0.06655]</td></tr><tr><td>2</td><td>0.201282</td><td>0.876521</td><td>0.566095</td><td>0.046258</td><td>3.17553</td><td>[2, 1530, … 1511]</td><td>[0.0, 0.067087, … 0.076166]</td></tr><tr><td>3</td><td>0.859807</td><td>0.967636</td><td>0.785815</td><td>0.804368</td><td>9.882445</td><td>[3, 1734, … 838]</td><td>[0.0, 0.023593, … 0.07114]</td></tr><tr><td>4</td><td>0.064274</td><td>0.618677</td><td>0.463781</td><td>0.232584</td><td>8.62535</td><td>[4, 348, … 307]</td><td>[0.0, 0.062754, … 0.076836]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 8)\n",
@@ -2138,16 +2138,16 @@
        "│ --- ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---              ┆ ---              │\n",
        "│ u32 ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ list[u32]        ┆ list[f64]        │\n",
        "╞═════╪══════════╪══════════╪══════════╪══════════╪══════════╪══════════════════╪══════════════════╡\n",
-       "│ 0   ┆ 0.520135 ┆ 0.023887 ┆ 0.424417 ┆ 0.616866 ┆ 7.166066 ┆ [0, 321, … 1795] ┆ [0.0, 0.058375,  │\n",
-       "│     ┆          ┆          ┆          ┆          ┆          ┆                  ┆ … 0.067274]      │\n",
-       "│ 1   ┆ 0.362396 ┆ 0.6973   ┆ 0.919444 ┆ 0.291983 ┆ 6.803053 ┆ [1, 1156, …      ┆ [0.0, 0.04118, … │\n",
-       "│     ┆          ┆          ┆          ┆          ┆          ┆ 1536]            ┆ 0.058766]        │\n",
-       "│ 2   ┆ 0.208545 ┆ 0.823846 ┆ 0.981867 ┆ 0.663537 ┆ 7.166631 ┆ [2, 1752, …      ┆ [0.0, 0.028817,  │\n",
-       "│     ┆          ┆          ┆          ┆          ┆          ┆ 1374]            ┆ … 0.054837]      │\n",
-       "│ 3   ┆ 0.909944 ┆ 0.970713 ┆ 0.45529  ┆ 0.290241 ┆ 6.290227 ┆ [3, 875, … 1469] ┆ [0.0, 0.090139,  │\n",
-       "│     ┆          ┆          ┆          ┆          ┆          ┆                  ┆ … 0.109005]      │\n",
-       "│ 4   ┆ 0.924506 ┆ 0.957152 ┆ 0.86393  ┆ 0.261618 ┆ 8.396401 ┆ [4, 1537, …      ┆ [0.0, 0.039451,  │\n",
-       "│     ┆          ┆          ┆          ┆          ┆          ┆ 1375]            ┆ … 0.051298]      │\n",
+       "│ 0   ┆ 0.481702 ┆ 0.566173 ┆ 0.69857  ┆ 0.458351 ┆ 7.900392 ┆ [0, 1220, … 61]  ┆ [0.0, 0.033199,  │\n",
+       "│     ┆          ┆          ┆          ┆          ┆          ┆                  ┆ … 0.060468]      │\n",
+       "│ 1   ┆ 0.176238 ┆ 0.691061 ┆ 0.38883  ┆ 0.873326 ┆ 9.814184 ┆ [1, 1919, …      ┆ [0.0, 0.022711,  │\n",
+       "│     ┆          ┆          ┆          ┆          ┆          ┆ 1438]            ┆ … 0.06655]       │\n",
+       "│ 2   ┆ 0.201282 ┆ 0.876521 ┆ 0.566095 ┆ 0.046258 ┆ 3.17553  ┆ [2, 1530, …      ┆ [0.0, 0.067087,  │\n",
+       "│     ┆          ┆          ┆          ┆          ┆          ┆ 1511]            ┆ … 0.076166]      │\n",
+       "│ 3   ┆ 0.859807 ┆ 0.967636 ┆ 0.785815 ┆ 0.804368 ┆ 9.882445 ┆ [3, 1734, … 838] ┆ [0.0, 0.023593,  │\n",
+       "│     ┆          ┆          ┆          ┆          ┆          ┆                  ┆ … 0.07114]       │\n",
+       "│ 4   ┆ 0.064274 ┆ 0.618677 ┆ 0.463781 ┆ 0.232584 ┆ 8.62535  ┆ [4, 348, … 307]  ┆ [0.0, 0.062754,  │\n",
+       "│     ┆          ┆          ┆          ┆          ┆          ┆                  ┆ … 0.076836]      │\n",
        "└─────┴──────────┴──────────┴──────────┴──────────┴──────────┴──────────────────┴──────────────────┘"
       ]
      },
@@ -2187,7 +2187,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>5</td><td>0.811302</td><td>0.599191</td><td>0.710414</td><td>0.537152</td><td>3.457735</td></tr><tr><td>6</td><td>0.75459</td><td>0.461001</td><td>0.381041</td><td>0.722947</td><td>7.324939</td></tr><tr><td>12</td><td>0.558716</td><td>0.414653</td><td>0.465225</td><td>0.079993</td><td>8.504178</td></tr><tr><td>13</td><td>0.60055</td><td>0.284698</td><td>0.299793</td><td>0.085367</td><td>2.727863</td></tr><tr><td>16</td><td>0.788044</td><td>0.478008</td><td>0.674275</td><td>0.450806</td><td>0.39686</td></tr></tbody></table></div>"
+       "<small>shape: (5, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0</td><td>0.481702</td><td>0.566173</td><td>0.69857</td><td>0.458351</td><td>7.900392</td></tr><tr><td>1</td><td>0.176238</td><td>0.691061</td><td>0.38883</td><td>0.873326</td><td>9.814184</td></tr><tr><td>5</td><td>0.712239</td><td>0.209799</td><td>0.535259</td><td>0.505202</td><td>7.753107</td></tr><tr><td>7</td><td>0.854959</td><td>0.645341</td><td>0.465969</td><td>0.924045</td><td>8.752052</td></tr><tr><td>8</td><td>0.797774</td><td>0.567559</td><td>0.411024</td><td>0.193817</td><td>9.037423</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 6)\n",
@@ -2196,11 +2196,11 @@
        "│ --- ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---      │\n",
        "│ u32 ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ f64      │\n",
        "╞═════╪══════════╪══════════╪══════════╪══════════╪══════════╡\n",
-       "│ 5   ┆ 0.811302 ┆ 0.599191 ┆ 0.710414 ┆ 0.537152 ┆ 3.457735 │\n",
-       "│ 6   ┆ 0.75459  ┆ 0.461001 ┆ 0.381041 ┆ 0.722947 ┆ 7.324939 │\n",
-       "│ 12  ┆ 0.558716 ┆ 0.414653 ┆ 0.465225 ┆ 0.079993 ┆ 8.504178 │\n",
-       "│ 13  ┆ 0.60055  ┆ 0.284698 ┆ 0.299793 ┆ 0.085367 ┆ 2.727863 │\n",
-       "│ 16  ┆ 0.788044 ┆ 0.478008 ┆ 0.674275 ┆ 0.450806 ┆ 0.39686  │\n",
+       "│ 0   ┆ 0.481702 ┆ 0.566173 ┆ 0.69857  ┆ 0.458351 ┆ 7.900392 │\n",
+       "│ 1   ┆ 0.176238 ┆ 0.691061 ┆ 0.38883  ┆ 0.873326 ┆ 9.814184 │\n",
+       "│ 5   ┆ 0.712239 ┆ 0.209799 ┆ 0.535259 ┆ 0.505202 ┆ 7.753107 │\n",
+       "│ 7   ┆ 0.854959 ┆ 0.645341 ┆ 0.465969 ┆ 0.924045 ┆ 8.752052 │\n",
+       "│ 8   ┆ 0.797774 ┆ 0.567559 ┆ 0.411024 ┆ 0.193817 ┆ 9.037423 │\n",
        "└─────┴──────────┴──────────┴──────────┴──────────┴──────────┘"
       ]
      },
@@ -2237,7 +2237,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>226</td><td>0.421302</td><td>0.471938</td><td>0.284193</td><td>0.049393</td><td>0.128264</td></tr><tr><td>229</td><td>0.575597</td><td>0.541939</td><td>0.631847</td><td>0.052552</td><td>2.287534</td></tr><tr><td>249</td><td>0.485648</td><td>0.424313</td><td>0.560687</td><td>0.032285</td><td>0.088083</td></tr><tr><td>306</td><td>0.502801</td><td>0.551935</td><td>0.603083</td><td>0.44726</td><td>4.7951</td></tr><tr><td>323</td><td>0.540203</td><td>0.488882</td><td>0.053305</td><td>0.969637</td><td>7.19677</td></tr></tbody></table></div>"
+       "<small>shape: (5, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0</td><td>0.481702</td><td>0.566173</td><td>0.69857</td><td>0.458351</td><td>7.900392</td></tr><tr><td>40</td><td>0.41957</td><td>0.46582</td><td>0.289675</td><td>0.797387</td><td>1.012019</td></tr><tr><td>61</td><td>0.492211</td><td>0.532409</td><td>0.747621</td><td>0.607236</td><td>6.230372</td></tr><tr><td>66</td><td>0.445782</td><td>0.557399</td><td>0.566395</td><td>0.87715</td><td>5.277144</td></tr><tr><td>138</td><td>0.512836</td><td>0.538711</td><td>0.918922</td><td>0.563493</td><td>1.969114</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 6)\n",
@@ -2246,11 +2246,11 @@
        "│ --- ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---      │\n",
        "│ u32 ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ f64      │\n",
        "╞═════╪══════════╪══════════╪══════════╪══════════╪══════════╡\n",
-       "│ 226 ┆ 0.421302 ┆ 0.471938 ┆ 0.284193 ┆ 0.049393 ┆ 0.128264 │\n",
-       "│ 229 ┆ 0.575597 ┆ 0.541939 ┆ 0.631847 ┆ 0.052552 ┆ 2.287534 │\n",
-       "│ 249 ┆ 0.485648 ┆ 0.424313 ┆ 0.560687 ┆ 0.032285 ┆ 0.088083 │\n",
-       "│ 306 ┆ 0.502801 ┆ 0.551935 ┆ 0.603083 ┆ 0.44726  ┆ 4.7951   │\n",
-       "│ 323 ┆ 0.540203 ┆ 0.488882 ┆ 0.053305 ┆ 0.969637 ┆ 7.19677  │\n",
+       "│ 0   ┆ 0.481702 ┆ 0.566173 ┆ 0.69857  ┆ 0.458351 ┆ 7.900392 │\n",
+       "│ 40  ┆ 0.41957  ┆ 0.46582  ┆ 0.289675 ┆ 0.797387 ┆ 1.012019 │\n",
+       "│ 61  ┆ 0.492211 ┆ 0.532409 ┆ 0.747621 ┆ 0.607236 ┆ 6.230372 │\n",
+       "│ 66  ┆ 0.445782 ┆ 0.557399 ┆ 0.566395 ┆ 0.87715  ┆ 5.277144 │\n",
+       "│ 138 ┆ 0.512836 ┆ 0.538711 ┆ 0.918922 ┆ 0.563493 ┆ 1.969114 │\n",
        "└─────┴──────────┴──────────┴──────────┴──────────┴──────────┘"
       ]
      },
@@ -2287,7 +2287,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>323</td><td>0.540203</td><td>0.488882</td><td>0.053305</td><td>0.969637</td><td>7.19677</td></tr><tr><td>366</td><td>0.50812</td><td>0.546394</td><td>0.037332</td><td>0.713331</td><td>8.360705</td></tr><tr><td>543</td><td>0.517303</td><td>0.458524</td><td>0.872152</td><td>0.727479</td><td>6.32662</td></tr><tr><td>718</td><td>0.559907</td><td>0.496147</td><td>0.850939</td><td>0.255172</td><td>8.788911</td></tr><tr><td>763</td><td>0.511012</td><td>0.529572</td><td>0.27042</td><td>0.26353</td><td>8.113711</td></tr></tbody></table></div>"
+       "<small>shape: (5, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>var1</th><th>var2</th><th>var3</th><th>r</th><th>rh</th></tr><tr><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0</td><td>0.481702</td><td>0.566173</td><td>0.69857</td><td>0.458351</td><td>7.900392</td></tr><tr><td>61</td><td>0.492211</td><td>0.532409</td><td>0.747621</td><td>0.607236</td><td>6.230372</td></tr><tr><td>180</td><td>0.522403</td><td>0.494358</td><td>0.795411</td><td>0.971752</td><td>7.740899</td></tr><tr><td>377</td><td>0.520169</td><td>0.449136</td><td>0.262714</td><td>0.088863</td><td>8.283747</td></tr><tr><td>480</td><td>0.472071</td><td>0.455911</td><td>0.734145</td><td>0.448297</td><td>6.728847</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 6)\n",
@@ -2296,11 +2296,11 @@
        "│ --- ┆ ---      ┆ ---      ┆ ---      ┆ ---      ┆ ---      │\n",
        "│ u32 ┆ f64      ┆ f64      ┆ f64      ┆ f64      ┆ f64      │\n",
        "╞═════╪══════════╪══════════╪══════════╪══════════╪══════════╡\n",
-       "│ 323 ┆ 0.540203 ┆ 0.488882 ┆ 0.053305 ┆ 0.969637 ┆ 7.19677  │\n",
-       "│ 366 ┆ 0.50812  ┆ 0.546394 ┆ 0.037332 ┆ 0.713331 ┆ 8.360705 │\n",
-       "│ 543 ┆ 0.517303 ┆ 0.458524 ┆ 0.872152 ┆ 0.727479 ┆ 6.32662  │\n",
-       "│ 718 ┆ 0.559907 ┆ 0.496147 ┆ 0.850939 ┆ 0.255172 ┆ 8.788911 │\n",
-       "│ 763 ┆ 0.511012 ┆ 0.529572 ┆ 0.27042  ┆ 0.26353  ┆ 8.113711 │\n",
+       "│ 0   ┆ 0.481702 ┆ 0.566173 ┆ 0.69857  ┆ 0.458351 ┆ 7.900392 │\n",
+       "│ 61  ┆ 0.492211 ┆ 0.532409 ┆ 0.747621 ┆ 0.607236 ┆ 6.230372 │\n",
+       "│ 180 ┆ 0.522403 ┆ 0.494358 ┆ 0.795411 ┆ 0.971752 ┆ 7.740899 │\n",
+       "│ 377 ┆ 0.520169 ┆ 0.449136 ┆ 0.262714 ┆ 0.088863 ┆ 8.283747 │\n",
+       "│ 480 ┆ 0.472071 ┆ 0.455911 ┆ 0.734145 ┆ 0.448297 ┆ 6.728847 │\n",
        "└─────┴──────────┴──────────┴──────────┴──────────┴──────────┘"
       ]
      },
@@ -2337,7 +2337,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>friends</th><th>count</th></tr><tr><td>u64</td><td>list[u32]</td><td>u32</td></tr></thead><tbody><tr><td>0</td><td>[0, 946]</td><td>2</td></tr><tr><td>1</td><td>[1, 1156, 1241]</td><td>3</td></tr><tr><td>2</td><td>[2, 1540, 185]</td><td>3</td></tr><tr><td>3</td><td>[3, 628, … 4]</td><td>6</td></tr><tr><td>4</td><td>[4, 1537, … 3]</td><td>6</td></tr></tbody></table></div>"
+       "<small>shape: (5, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>id</th><th>friends</th><th>count</th></tr><tr><td>u64</td><td>list[u32]</td><td>u32</td></tr></thead><tbody><tr><td>0</td><td>[0, 911, 1130]</td><td>3</td></tr><tr><td>1</td><td>[1, 1919]</td><td>2</td></tr><tr><td>2</td><td>[2]</td><td>1</td></tr><tr><td>3</td><td>[3, 548, 1734]</td><td>3</td></tr><tr><td>4</td><td>[4, 981, … 343]</td><td>5</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 3)\n",
@@ -2346,11 +2346,11 @@
        "│ --- ┆ ---             ┆ ---   │\n",
        "│ u64 ┆ list[u32]       ┆ u32   │\n",
        "╞═════╪═════════════════╪═══════╡\n",
-       "│ 0   ┆ [0, 946]        ┆ 2     │\n",
-       "│ 1   ┆ [1, 1156, 1241] ┆ 3     │\n",
-       "│ 2   ┆ [2, 1540, 185]  ┆ 3     │\n",
-       "│ 3   ┆ [3, 628, … 4]   ┆ 6     │\n",
-       "│ 4   ┆ [4, 1537, … 3]  ┆ 6     │\n",
+       "│ 0   ┆ [0, 911, 1130]  ┆ 3     │\n",
+       "│ 1   ┆ [1, 1919]       ┆ 2     │\n",
+       "│ 2   ┆ [2]             ┆ 1     │\n",
+       "│ 3   ┆ [3, 548, 1734]  ┆ 3     │\n",
+       "│ 4   ┆ [4, 981, … 343] ┆ 5     │\n",
        "└─────┴─────────────────┴───────┘"
       ]
      },
@@ -2625,7 +2625,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>actual</th><th>predicted</th><th>0-2</th><th>0-9</th></tr><tr><td>f64</td><td>f64</td><td>i32</td><td>i32</td></tr></thead><tbody><tr><td>0.0</td><td>0.506222</td><td>2</td><td>4</td></tr><tr><td>0.0</td><td>0.783347</td><td>0</td><td>7</td></tr><tr><td>1.0</td><td>0.447991</td><td>0</td><td>6</td></tr><tr><td>0.0</td><td>0.97702</td><td>0</td><td>0</td></tr><tr><td>0.0</td><td>0.813408</td><td>1</td><td>1</td></tr></tbody></table></div>"
+       "<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>actual</th><th>predicted</th><th>0-2</th><th>0-9</th></tr><tr><td>f64</td><td>f64</td><td>i32</td><td>i32</td></tr></thead><tbody><tr><td>1.0</td><td>0.333752</td><td>1</td><td>9</td></tr><tr><td>1.0</td><td>0.766684</td><td>0</td><td>7</td></tr><tr><td>0.0</td><td>0.977014</td><td>2</td><td>2</td></tr><tr><td>1.0</td><td>0.768644</td><td>2</td><td>2</td></tr><tr><td>0.0</td><td>0.173281</td><td>0</td><td>2</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 4)\n",
@@ -2634,11 +2634,11 @@
        "│ ---    ┆ ---       ┆ --- ┆ --- │\n",
        "│ f64    ┆ f64       ┆ i32 ┆ i32 │\n",
        "╞════════╪═══════════╪═════╪═════╡\n",
-       "│ 0.0    ┆ 0.506222  ┆ 2   ┆ 4   │\n",
-       "│ 0.0    ┆ 0.783347  ┆ 0   ┆ 7   │\n",
-       "│ 1.0    ┆ 0.447991  ┆ 0   ┆ 6   │\n",
-       "│ 0.0    ┆ 0.97702   ┆ 0   ┆ 0   │\n",
-       "│ 0.0    ┆ 0.813408  ┆ 1   ┆ 1   │\n",
+       "│ 1.0    ┆ 0.333752  ┆ 1   ┆ 9   │\n",
+       "│ 1.0    ┆ 0.766684  ┆ 0   ┆ 7   │\n",
+       "│ 0.0    ┆ 0.977014  ┆ 2   ┆ 2   │\n",
+       "│ 1.0    ┆ 0.768644  ┆ 2   ┆ 2   │\n",
+       "│ 0.0    ┆ 0.173281  ┆ 0   ┆ 2   │\n",
        "└────────┴───────────┴─────┴─────┘"
       ]
      },
@@ -2714,17 +2714,17 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (1, 5)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>precision</th><th>recall</th><th>f</th><th>average_precision</th><th>roc_auc</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.500998</td><td>0.50192</td><td>0.501459</td><td>0.500656</td><td>0.501317</td></tr></tbody></table></div>"
+       "<small>shape: (1, 5)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>precision</th><th>recall</th><th>f</th><th>average_precision</th><th>roc_auc</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.497343</td><td>0.497721</td><td>0.497532</td><td>0.49837</td><td>0.497449</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (1, 5)\n",
-       "┌───────────┬─────────┬──────────┬───────────────────┬──────────┐\n",
-       "│ precision ┆ recall  ┆ f        ┆ average_precision ┆ roc_auc  │\n",
-       "│ ---       ┆ ---     ┆ ---      ┆ ---               ┆ ---      │\n",
-       "│ f64       ┆ f64     ┆ f64      ┆ f64               ┆ f64      │\n",
-       "╞═══════════╪═════════╪══════════╪═══════════════════╪══════════╡\n",
-       "│ 0.500998  ┆ 0.50192 ┆ 0.501459 ┆ 0.500656          ┆ 0.501317 │\n",
-       "└───────────┴─────────┴──────────┴───────────────────┴──────────┘"
+       "┌───────────┬──────────┬──────────┬───────────────────┬──────────┐\n",
+       "│ precision ┆ recall   ┆ f        ┆ average_precision ┆ roc_auc  │\n",
+       "│ ---       ┆ ---      ┆ ---      ┆ ---               ┆ ---      │\n",
+       "│ f64       ┆ f64      ┆ f64      ┆ f64               ┆ f64      │\n",
+       "╞═══════════╪══════════╪══════════╪═══════════════════╪══════════╡\n",
+       "│ 0.497343  ┆ 0.497721 ┆ 0.497532 ┆ 0.49837           ┆ 0.497449 │\n",
+       "└───────────┴──────────┴──────────┴───────────────────┴──────────┘"
       ]
      },
      "execution_count": 59,
@@ -2755,7 +2755,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>cnt&lt;=</th><th>baseline_pct</th><th>actual_pct</th><th>psi_bin</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.216072</td><td>0.2</td><td>0.232</td><td>0.004749</td></tr><tr><td>0.411602</td><td>0.2</td><td>0.194</td><td>0.000183</td></tr><tr><td>0.590313</td><td>0.2</td><td>0.174</td><td>0.003621</td></tr><tr><td>0.790307</td><td>0.2</td><td>0.188</td><td>0.000743</td></tr><tr><td>inf</td><td>0.2</td><td>0.212</td><td>0.000699</td></tr></tbody></table></div>"
+       "<small>shape: (5, 4)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>cnt&lt;=</th><th>baseline_pct</th><th>actual_pct</th><th>psi_bin</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td></tr></thead><tbody><tr><td>0.202925</td><td>0.2</td><td>0.2</td><td>0.0</td></tr><tr><td>0.401657</td><td>0.2</td><td>0.188</td><td>0.000743</td></tr><tr><td>0.605492</td><td>0.2</td><td>0.223</td><td>0.002504</td></tr><tr><td>0.812192</td><td>0.2</td><td>0.206</td><td>0.000177</td></tr><tr><td>inf</td><td>0.2</td><td>0.183</td><td>0.00151</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 4)\n",
@@ -2764,11 +2764,11 @@
        "│ ---      ┆ ---          ┆ ---        ┆ ---      │\n",
        "│ f64      ┆ f64          ┆ f64        ┆ f64      │\n",
        "╞══════════╪══════════════╪════════════╪══════════╡\n",
-       "│ 0.216072 ┆ 0.2          ┆ 0.232      ┆ 0.004749 │\n",
-       "│ 0.411602 ┆ 0.2          ┆ 0.194      ┆ 0.000183 │\n",
-       "│ 0.590313 ┆ 0.2          ┆ 0.174      ┆ 0.003621 │\n",
-       "│ 0.790307 ┆ 0.2          ┆ 0.188      ┆ 0.000743 │\n",
-       "│ inf      ┆ 0.2          ┆ 0.212      ┆ 0.000699 │\n",
+       "│ 0.202925 ┆ 0.2          ┆ 0.2        ┆ 0.0      │\n",
+       "│ 0.401657 ┆ 0.2          ┆ 0.188      ┆ 0.000743 │\n",
+       "│ 0.605492 ┆ 0.2          ┆ 0.223      ┆ 0.002504 │\n",
+       "│ 0.812192 ┆ 0.2          ┆ 0.206      ┆ 0.000177 │\n",
+       "│ inf      ┆ 0.2          ┆ 0.183      ┆ 0.00151  │\n",
        "└──────────┴──────────────┴────────────┴──────────┘"
       ]
      },
@@ -2804,7 +2804,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>cid_ce</th></tr><tr><td>f64</td></tr></thead><tbody><tr><td>12.975626</td></tr></tbody></table></div>"
+       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>cid_ce</th></tr><tr><td>f64</td></tr></thead><tbody><tr><td>12.610733</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (1, 1)\n",
@@ -2813,7 +2813,7 @@
        "│ ---       │\n",
        "│ f64       │\n",
        "╞═══════════╡\n",
-       "│ 12.975626 │\n",
+       "│ 12.610733 │\n",
        "└───────────┘"
       ]
      },
@@ -2845,7 +2845,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>c3_stats</th></tr><tr><td>f64</td></tr></thead><tbody><tr><td>0.124653</td></tr></tbody></table></div>"
+       "<small>shape: (1, 1)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>c3_stats</th></tr><tr><td>f64</td></tr></thead><tbody><tr><td>0.128507</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (1, 1)\n",
@@ -2854,7 +2854,7 @@
        "│ ---      │\n",
        "│ f64      │\n",
        "╞══════════╡\n",
-       "│ 0.124653 │\n",
+       "│ 0.128507 │\n",
        "└──────────┘"
       ]
      },
@@ -3082,7 +3082,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.8"
+   "version": "3.12.6"
   }
  },
  "nbformat": 4,
diff --git a/examples/diagnosis.ipynb b/examples/diagnosis.ipynb
index 252ff817..d419c4cf 100644
--- a/examples/diagnosis.ipynb
+++ b/examples/diagnosis.ipynb
@@ -39,21 +39,21 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>uniform_1</th><th>uniform_2</th><th>exp</th><th>normal</th><th>fat_normal</th><th>list_prob</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>list[f64]</td></tr></thead><tbody><tr><td>0.278521</td><td>0.48314</td><td>3.548454</td><td>1.537551</td><td>-272.230886</td><td>[0.48314, 0.51686]</td></tr><tr><td>0.263147</td><td>0.713113</td><td>1.053159</td><td>-0.387696</td><td>3233.429041</td><td>[0.713113, 0.286887]</td></tr><tr><td>5.731644</td><td>0.875866</td><td>6.179438</td><td>-1.202997</td><td>-1039.964202</td><td>[0.875866, 0.124134]</td></tr><tr><td>10.408367</td><td>0.850075</td><td>0.347016</td><td>0.597819</td><td>469.209629</td><td>[0.850075, 0.149925]</td></tr><tr><td>8.430612</td><td>0.163962</td><td>0.898961</td><td>-0.660768</td><td>276.272537</td><td>[0.163962, 0.836038]</td></tr></tbody></table></div>"
+       "<small>shape: (5, 6)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>uniform_1</th><th>uniform_2</th><th>exp</th><th>normal</th><th>fat_normal</th><th>list_prob</th></tr><tr><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>list[f64]</td></tr></thead><tbody><tr><td>2.158135</td><td>0.501964</td><td>0.297481</td><td>-0.572012</td><td>586.624597</td><td>[0.501964, 0.498036]</td></tr><tr><td>9.949044</td><td>0.066767</td><td>1.572127</td><td>-0.801887</td><td>-291.389951</td><td>[0.066767, 0.933233]</td></tr><tr><td>11.603451</td><td>0.130239</td><td>1.226877</td><td>1.706827</td><td>302.660299</td><td>[0.130239, 0.869761]</td></tr><tr><td>10.71149</td><td>0.275103</td><td>0.304688</td><td>-0.202714</td><td>1222.503271</td><td>[0.275103, 0.724897]</td></tr><tr><td>8.006005</td><td>0.846552</td><td>1.746005</td><td>-0.527651</td><td>-19.627926</td><td>[0.846552, 0.153448]</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 6)\n",
-       "┌───────────┬───────────┬──────────┬───────────┬──────────────┬──────────────────────┐\n",
-       "│ uniform_1 ┆ uniform_2 ┆ exp      ┆ normal    ┆ fat_normal   ┆ list_prob            │\n",
-       "│ ---       ┆ ---       ┆ ---      ┆ ---       ┆ ---          ┆ ---                  │\n",
-       "│ f64       ┆ f64       ┆ f64      ┆ f64       ┆ f64          ┆ list[f64]            │\n",
-       "╞═══════════╪═══════════╪══════════╪═══════════╪══════════════╪══════════════════════╡\n",
-       "│ 0.278521  ┆ 0.48314   ┆ 3.548454 ┆ 1.537551  ┆ -272.230886  ┆ [0.48314, 0.51686]   │\n",
-       "│ 0.263147  ┆ 0.713113  ┆ 1.053159 ┆ -0.387696 ┆ 3233.429041  ┆ [0.713113, 0.286887] │\n",
-       "│ 5.731644  ┆ 0.875866  ┆ 6.179438 ┆ -1.202997 ┆ -1039.964202 ┆ [0.875866, 0.124134] │\n",
-       "│ 10.408367 ┆ 0.850075  ┆ 0.347016 ┆ 0.597819  ┆ 469.209629   ┆ [0.850075, 0.149925] │\n",
-       "│ 8.430612  ┆ 0.163962  ┆ 0.898961 ┆ -0.660768 ┆ 276.272537   ┆ [0.163962, 0.836038] │\n",
-       "└───────────┴───────────┴──────────┴───────────┴──────────────┴──────────────────────┘"
+       "┌───────────┬───────────┬──────────┬───────────┬─────────────┬──────────────────────┐\n",
+       "│ uniform_1 ┆ uniform_2 ┆ exp      ┆ normal    ┆ fat_normal  ┆ list_prob            │\n",
+       "│ ---       ┆ ---       ┆ ---      ┆ ---       ┆ ---         ┆ ---                  │\n",
+       "│ f64       ┆ f64       ┆ f64      ┆ f64       ┆ f64         ┆ list[f64]            │\n",
+       "╞═══════════╪═══════════╪══════════╪═══════════╪═════════════╪══════════════════════╡\n",
+       "│ 2.158135  ┆ 0.501964  ┆ 0.297481 ┆ -0.572012 ┆ 586.624597  ┆ [0.501964, 0.498036] │\n",
+       "│ 9.949044  ┆ 0.066767  ┆ 1.572127 ┆ -0.801887 ┆ -291.389951 ┆ [0.066767, 0.933233] │\n",
+       "│ 11.603451 ┆ 0.130239  ┆ 1.226877 ┆ 1.706827  ┆ 302.660299  ┆ [0.130239, 0.869761] │\n",
+       "│ 10.71149  ┆ 0.275103  ┆ 0.304688 ┆ -0.202714 ┆ 1222.503271 ┆ [0.275103, 0.724897] │\n",
+       "│ 8.006005  ┆ 0.846552  ┆ 1.746005 ┆ -0.527651 ┆ -19.627926  ┆ [0.846552, 0.153448] │\n",
+       "└───────────┴───────────┴──────────┴───────────┴─────────────┴──────────────────────┘"
       ]
      },
      "execution_count": 2,
@@ -132,51 +132,51 @@
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+       "<div id=\"ispvqdjimx\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
        "<style>\n",
-       "#lxqsvojeaa table {\n",
+       "#ispvqdjimx table {\n",
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        "          -webkit-font-smoothing: antialiased;\n",
        "          -moz-osx-font-smoothing: grayscale;\n",
        "        }\n",
        "\n",
-       "#lxqsvojeaa thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
+       "#ispvqdjimx thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
        " tr { background-color: transparent !important; }\n",
-       "#lxqsvojeaa p { margin: 0 !important; padding: 0 !important; }\n",
-       " #lxqsvojeaa .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
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-       " #lxqsvojeaa .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #lxqsvojeaa .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #lxqsvojeaa .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #lxqsvojeaa .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
-       " #lxqsvojeaa .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
-       " #lxqsvojeaa .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
-       " #lxqsvojeaa .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
-       " #lxqsvojeaa .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
-       " #lxqsvojeaa .gt_spanner_row { border-bottom-style: hidden !important; }\n",
-       " #lxqsvojeaa .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
-       " #lxqsvojeaa .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
-       " #lxqsvojeaa .gt_from_md> :first-child { margin-top: 0 !important; }\n",
-       " #lxqsvojeaa .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
-       " #lxqsvojeaa .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
-       " #lxqsvojeaa .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
-       " #lxqsvojeaa .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
-       " #lxqsvojeaa .gt_row_group_first td { border-top-width: 2px !important; }\n",
-       " #lxqsvojeaa .gt_row_group_first th { border-top-width: 2px !important; }\n",
-       " #lxqsvojeaa .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #lxqsvojeaa .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #lxqsvojeaa .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
-       " #lxqsvojeaa .gt_left { text-align: left !important; }\n",
-       " #lxqsvojeaa .gt_center { text-align: center !important; }\n",
-       " #lxqsvojeaa .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
-       " #lxqsvojeaa .gt_font_normal { font-weight: normal !important; }\n",
-       " #lxqsvojeaa .gt_font_bold { font-weight: bold !important; }\n",
-       " #lxqsvojeaa .gt_font_italic { font-style: italic !important; }\n",
-       " #lxqsvojeaa .gt_super { font-size: 65% !important; }\n",
-       " #lxqsvojeaa .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
-       " #lxqsvojeaa .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
+       "#ispvqdjimx p { margin: 0 !important; padding: 0 !important; }\n",
+       " #ispvqdjimx .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
+       " #ispvqdjimx .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
+       " #ispvqdjimx .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
+       " #ispvqdjimx .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
+       " #ispvqdjimx .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #ispvqdjimx .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #ispvqdjimx .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #ispvqdjimx .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
+       " #ispvqdjimx .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
+       " #ispvqdjimx .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
+       " #ispvqdjimx .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
+       " #ispvqdjimx .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
+       " #ispvqdjimx .gt_spanner_row { border-bottom-style: hidden !important; }\n",
+       " #ispvqdjimx .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
+       " #ispvqdjimx .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
+       " #ispvqdjimx .gt_from_md> :first-child { margin-top: 0 !important; }\n",
+       " #ispvqdjimx .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
+       " #ispvqdjimx .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
+       " #ispvqdjimx .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
+       " #ispvqdjimx .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
+       " #ispvqdjimx .gt_row_group_first td { border-top-width: 2px !important; }\n",
+       " #ispvqdjimx .gt_row_group_first th { border-top-width: 2px !important; }\n",
+       " #ispvqdjimx .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #ispvqdjimx .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #ispvqdjimx .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
+       " #ispvqdjimx .gt_left { text-align: left !important; }\n",
+       " #ispvqdjimx .gt_center { text-align: center !important; }\n",
+       " #ispvqdjimx .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
+       " #ispvqdjimx .gt_font_normal { font-weight: normal !important; }\n",
+       " #ispvqdjimx .gt_font_bold { font-weight: bold !important; }\n",
+       " #ispvqdjimx .gt_font_italic { font-style: italic !important; }\n",
+       " #ispvqdjimx .gt_super { font-size: 65% !important; }\n",
+       " #ispvqdjimx .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
+       " #ispvqdjimx .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
        " \n",
        "</style>\n",
        "<table class=\"gt_table\" data-quarto-disable-processing=\"false\" data-quarto-bootstrap=\"false\">\n",
@@ -201,16 +201,16 @@
        "    <th class=\"gt_row gt_left gt_stub\">uniform_1</th>\n",
        "    <td class=\"gt_row gt_center\">1000000</td>\n",
        "    <td class=\"gt_row gt_right\">0.00%</td>\n",
-       "    <td class=\"gt_row gt_right\">5.996</td>\n",
-       "    <td class=\"gt_row gt_right\">3.463</td>\n",
+       "    <td class=\"gt_row gt_right\">6.002</td>\n",
+       "    <td class=\"gt_row gt_right\">3.464</td>\n",
        "    <td class=\"gt_row gt_right\">0.000</td>\n",
-       "    <td class=\"gt_row gt_right\">2.995</td>\n",
+       "    <td class=\"gt_row gt_right\">3.004</td>\n",
        "    <td class=\"gt_row gt_right\">6.000</td>\n",
-       "    <td class=\"gt_row gt_right\">8.996</td>\n",
+       "    <td class=\"gt_row gt_right\">9.003</td>\n",
        "    <td class=\"gt_row gt_right\">12.000</td>\n",
-       "    <td class=\"gt_row gt_right\">6.001</td>\n",
+       "    <td class=\"gt_row gt_right\">5.999</td>\n",
        "    <td class=\"gt_row gt_center\">0</td>\n",
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        "  </tr>\n",
        "  <tr>\n",
        "    <th class=\"gt_row gt_left gt_stub\">uniform_2</th>\n",
@@ -225,52 +225,52 @@
        "    <td class=\"gt_row gt_right\">1.000</td>\n",
        "    <td class=\"gt_row gt_right\">0.500</td>\n",
        "    <td class=\"gt_row gt_center\">0</td>\n",
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+       "    <td class=\"gt_row gt_center\"><div><svg role=\"img\" viewBox=\"0 0 1100 130\" style=\"height: 2em; margin-left: auto; margin-right: auto; font-size: inherit; overflow: visible; vertical-align: middle; position:relative;\"><defs><pattern id=\"area_pattern\" width=\"8\" height=\"8\" patternUnits=\"userSpaceOnUse\"><path class=\"pattern-line\" d=\"M 0,8 l 8,-8 M -1,1 l 4,-4 M 6,10 l 4,-4\" stroke=\"#FF0000\" stroke-width=\"1.5\" stroke-linecap=\"round\" shape-rendering=\"geometricPrecision\"></path></pattern></defs><style> text { font-family: ui-monospace, 'Cascadia Code', 'Source Code Pro', Menlo, Consolas, 'DejaVu Sans Mono', monospace; stroke-width: 0.15em; paint-order: stroke; stroke-linejoin: round; cursor: default; } .vert-line:hover rect { fill: #911EB4; fill-opacity: 40%; stroke: #FFFFFF60; color: red; } .vert-line:hover text { stroke: white; fill: #212427; } .horizontal-line:hover text {stroke: white; fill: #212427; } .ref-line:hover rect { stroke: #FFFFFF60; } 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stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"1007.3684210526316\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">49.6K</text></g><g class=\"vert-line\"><rect x=\"1040.0\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"1060.0\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">50.2K</text></g></svg></div></td>\n",
        "  </tr>\n",
        "  <tr>\n",
        "    <th class=\"gt_row gt_left gt_stub\">exp</th>\n",
        "    <td class=\"gt_row gt_center\">1000000</td>\n",
        "    <td class=\"gt_row gt_right\">0.00%</td>\n",
-       "    <td class=\"gt_row gt_right\">2.003</td>\n",
-       "    <td class=\"gt_row gt_right\">2.003</td>\n",
+       "    <td class=\"gt_row gt_right\">2.000</td>\n",
+       "    <td class=\"gt_row gt_right\">2.000</td>\n",
        "    <td class=\"gt_row gt_right\">0.000</td>\n",
-       "    <td class=\"gt_row gt_right\">0.576</td>\n",
+       "    <td class=\"gt_row gt_right\">0.574</td>\n",
        "    <td class=\"gt_row gt_right\">1.390</td>\n",
-       "    <td class=\"gt_row gt_right\">2.776</td>\n",
-       "    <td class=\"gt_row gt_right\">28.313</td>\n",
-       "    <td class=\"gt_row gt_right\">2.200</td>\n",
-       "    <td class=\"gt_row gt_center\">48246</td>\n",
-       "    <td class=\"gt_row gt_center\"><div><svg role=\"img\" viewBox=\"0 0 1050 130\" style=\"height: 2em; margin-left: auto; margin-right: auto; font-size: inherit; overflow: visible; vertical-align: middle; position:relative;\"><defs><pattern id=\"area_pattern\" width=\"8\" height=\"8\" patternUnits=\"userSpaceOnUse\"><path class=\"pattern-line\" d=\"M 0,8 l 8,-8 M -1,1 l 4,-4 M 6,10 l 4,-4\" stroke=\"#FF0000\" stroke-width=\"1.5\" stroke-linecap=\"round\" shape-rendering=\"geometricPrecision\"></path></pattern></defs><style> text { font-family: ui-monospace, 'Cascadia Code', 'Source Code Pro', Menlo, Consolas, 'DejaVu Sans Mono', monospace; stroke-width: 0.15em; paint-order: stroke; stroke-linejoin: round; cursor: default; } .vert-line:hover rect { fill: #911EB4; fill-opacity: 40%; stroke: #FFFFFF60; color: red; } .vert-line:hover text { stroke: white; fill: #212427; } .horizontal-line:hover text {stroke: white; fill: #212427; } .ref-line:hover rect { stroke: #FFFFFF60; } 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height=\"0.001579254907539962\" stroke=\"#3290CC\" stroke-width=\"4\" fill=\"#3FB5FF\"></rect><rect x=\"927.2222222222222\" y=\"114.99940777940968\" width=\"40\" height=\"0.0005922205903203803\" stroke=\"#3290CC\" stroke-width=\"4\" fill=\"#3FB5FF\"></rect><rect x=\"980.0\" y=\"114.99980259313655\" width=\"40\" height=\"0.00019740686344960068\" stroke=\"#3290CC\" stroke-width=\"4\" fill=\"#3FB5FF\"></rect><g class=\"y-axis-line\"><rect x=\"0\" y=\"0\" width=\"65\" height=\"130\" stroke=\"transparent\" stroke-width=\"0\" fill=\"transparent\"></rect><text x=\"0\" y=\"19.0\" fill=\"transparent\" stroke=\"transparent\" font-size=\"25\">507K</text><text x=\"0\" y=\"126.0\" fill=\"transparent\" stroke=\"transparent\" font-size=\"25\">0</text></g><g class=\"vert-line\"><rect x=\"40.0\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"60.0\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">507K</text></g><g class=\"vert-line\"><rect x=\"92.77777777777777\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"112.77777777777777\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">250K</text></g><g class=\"vert-line\"><rect x=\"145.55555555555554\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"165.55555555555554\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">123K</text></g><g class=\"vert-line\"><rect x=\"198.33333333333331\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"218.33333333333331\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">61.0K</text></g><g class=\"vert-line\"><rect x=\"251.1111111111111\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"271.1111111111111\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">29.9K</text></g><g class=\"vert-line\"><rect x=\"303.8888888888889\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"323.8888888888889\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">14.9K</text></g><g class=\"vert-line\"><rect x=\"356.66666666666663\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"376.66666666666663\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">7.27K</text></g><g class=\"vert-line\"><rect x=\"409.4444444444444\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"429.4444444444444\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">3.58K</text></g><g class=\"vert-line\"><rect x=\"462.2222222222222\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"482.2222222222222\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">1.77K</text></g><g class=\"vert-line\"><rect x=\"515.0\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"535.0\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">837</text></g><g class=\"vert-line\"><rect x=\"567.7777777777778\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"587.7777777777778\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">405</text></g><g class=\"vert-line\"><rect x=\"620.5555555555555\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" 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stroke=\"transparent\" font-size=\"30px\">1</text></g></svg></div></td>\n",
+       "    <td class=\"gt_row gt_right\">2.771</td>\n",
+       "    <td class=\"gt_row gt_right\">31.793</td>\n",
+       "    <td class=\"gt_row gt_right\">2.197</td>\n",
+       "    <td class=\"gt_row gt_center\">48144</td>\n",
+       "    <td class=\"gt_row gt_center\"><div><svg role=\"img\" viewBox=\"0 0 1000 130\" style=\"height: 2em; margin-left: auto; margin-right: auto; font-size: inherit; overflow: visible; vertical-align: middle; position:relative;\"><defs><pattern id=\"area_pattern\" width=\"8\" height=\"8\" patternUnits=\"userSpaceOnUse\"><path class=\"pattern-line\" d=\"M 0,8 l 8,-8 M -1,1 l 4,-4 M 6,10 l 4,-4\" stroke=\"#FF0000\" stroke-width=\"1.5\" stroke-linecap=\"round\" shape-rendering=\"geometricPrecision\"></path></pattern></defs><style> text { font-family: ui-monospace, 'Cascadia Code', 'Source Code Pro', Menlo, Consolas, 'DejaVu Sans Mono', monospace; stroke-width: 0.15em; paint-order: stroke; stroke-linejoin: round; cursor: default; } .vert-line:hover rect { fill: #911EB4; fill-opacity: 40%; stroke: #FFFFFF60; color: red; } .vert-line:hover text { stroke: white; fill: #212427; } .horizontal-line:hover text {stroke: white; fill: #212427; } .ref-line:hover rect { stroke: #FFFFFF60; } 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x=\"483.52941176470586\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">983</text></g><g class=\"vert-line\"><rect x=\"516.4705882352941\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"536.4705882352941\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">427</text></g><g class=\"vert-line\"><rect x=\"569.4117647058823\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"589.4117647058823\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">188</text></g><g class=\"vert-line\"><rect x=\"622.3529411764706\" y=\"0\" width=\"20\" height=\"130\" stroke=\"transparent\" stroke-width=\"12\" fill=\"transparent\"></rect><text x=\"642.3529411764706\" y=\"20\" fill=\"transparent\" stroke=\"transparent\" font-size=\"30px\">89</text></g><g class=\"vert-line\"><rect x=\"675.2941176470588\" y=\"0\" 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        "  </tr>\n",
        "  <tr>\n",
        "    <th class=\"gt_row gt_left gt_stub\">normal</th>\n",
        "    <td class=\"gt_row gt_center\">1000000</td>\n",
        "    <td class=\"gt_row gt_right\">0.00%</td>\n",
-       "    <td class=\"gt_row gt_right\">−0.000</td>\n",
+       "    <td class=\"gt_row gt_right\">−0.001</td>\n",
        "    <td class=\"gt_row gt_right\">1.000</td>\n",
-       "    <td class=\"gt_row gt_right\">−4.664</td>\n",
-       "    <td class=\"gt_row gt_right\">−0.676</td>\n",
+       "    <td class=\"gt_row gt_right\">−4.698</td>\n",
+       "    <td class=\"gt_row gt_right\">−0.675</td>\n",
        "    <td class=\"gt_row gt_right\">0.000</td>\n",
-       "    <td class=\"gt_row gt_right\">0.675</td>\n",
-       "    <td class=\"gt_row gt_right\">4.900</td>\n",
-       "    <td class=\"gt_row gt_right\">1.351</td>\n",
-       "    <td class=\"gt_row gt_center\">6885</td>\n",
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+       "    <td class=\"gt_row gt_right\">0.674</td>\n",
+       "    <td class=\"gt_row gt_right\">4.520</td>\n",
+       "    <td class=\"gt_row gt_right\">1.349</td>\n",
+       "    <td class=\"gt_row gt_center\">7037</td>\n",
+       "    <td class=\"gt_row gt_center\"><div><svg role=\"img\" viewBox=\"0 0 1100 130\" style=\"height: 2em; margin-left: auto; margin-right: auto; font-size: inherit; overflow: visible; vertical-align: middle; position:relative;\"><defs><pattern id=\"area_pattern\" width=\"8\" height=\"8\" patternUnits=\"userSpaceOnUse\"><path class=\"pattern-line\" d=\"M 0,8 l 8,-8 M -1,1 l 4,-4 M 6,10 l 4,-4\" stroke=\"#FF0000\" stroke-width=\"1.5\" stroke-linecap=\"round\" shape-rendering=\"geometricPrecision\"></path></pattern></defs><style> text { font-family: ui-monospace, 'Cascadia Code', 'Source Code Pro', Menlo, Consolas, 'DejaVu Sans Mono', monospace; stroke-width: 0.15em; paint-order: stroke; stroke-linejoin: round; cursor: default; } .vert-line:hover rect { fill: #911EB4; fill-opacity: 40%; stroke: #FFFFFF60; color: red; } .vert-line:hover text { stroke: white; fill: #212427; } .horizontal-line:hover text {stroke: white; fill: #212427; } .ref-line:hover rect { stroke: #FFFFFF60; } 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        "  </tr>\n",
        "  <tr>\n",
        "    <th class=\"gt_row gt_left gt_stub\">fat_normal</th>\n",
        "    <td class=\"gt_row gt_center\">1000000</td>\n",
        "    <td class=\"gt_row gt_right\">0.00%</td>\n",
-       "    <td class=\"gt_row gt_right\">−0.742</td>\n",
-       "    <td class=\"gt_row gt_right\">1,001.112</td>\n",
-       "    <td class=\"gt_row gt_right\">−5,085.766</td>\n",
-       "    <td class=\"gt_row gt_right\">−676.019</td>\n",
-       "    <td class=\"gt_row gt_right\">−0.110</td>\n",
-       "    <td class=\"gt_row gt_right\">675.449</td>\n",
-       "    <td class=\"gt_row gt_right\">4,961.013</td>\n",
-       "    <td class=\"gt_row gt_right\">1,351.467</td>\n",
-       "    <td class=\"gt_row gt_center\">6980</td>\n",
-       "    <td class=\"gt_row gt_center\"><div><svg role=\"img\" viewBox=\"0 0 1100 130\" style=\"height: 2em; margin-left: auto; margin-right: auto; font-size: inherit; overflow: visible; vertical-align: middle; position:relative;\"><defs><pattern id=\"area_pattern\" width=\"8\" height=\"8\" patternUnits=\"userSpaceOnUse\"><path class=\"pattern-line\" d=\"M 0,8 l 8,-8 M -1,1 l 4,-4 M 6,10 l 4,-4\" stroke=\"#FF0000\" stroke-width=\"1.5\" stroke-linecap=\"round\" shape-rendering=\"geometricPrecision\"></path></pattern></defs><style> text { font-family: ui-monospace, 'Cascadia Code', 'Source Code Pro', Menlo, Consolas, 'DejaVu Sans Mono', monospace; stroke-width: 0.15em; paint-order: stroke; stroke-linejoin: round; cursor: default; } .vert-line:hover rect { fill: #911EB4; fill-opacity: 40%; stroke: #FFFFFF60; color: red; } .vert-line:hover text { stroke: white; fill: #212427; } .horizontal-line:hover text {stroke: white; fill: #212427; } .ref-line:hover rect { stroke: #FFFFFF60; } 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+       "    <td class=\"gt_row gt_right\">0.491</td>\n",
+       "    <td class=\"gt_row gt_right\">1,000.150</td>\n",
+       "    <td class=\"gt_row gt_right\">−4,465.549</td>\n",
+       "    <td class=\"gt_row gt_right\">−674.269</td>\n",
+       "    <td class=\"gt_row gt_right\">1.600</td>\n",
+       "    <td class=\"gt_row gt_right\">674.479</td>\n",
+       "    <td class=\"gt_row gt_right\">5,044.708</td>\n",
+       "    <td class=\"gt_row gt_right\">1,348.748</td>\n",
+       "    <td class=\"gt_row gt_center\">7125</td>\n",
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        "  </tr>\n",
        "</tbody>\n",
        "\n",
@@ -288,20 +288,21 @@
        "│ str        ┆ ---        ┆ f64   ┆ f64       ┆   ┆ f64        ┆ f64       ┆ ---       ┆ struct[1] │\n",
        "│            ┆ u32        ┆       ┆           ┆   ┆            ┆           ┆ u32       ┆           │\n",
        "╞════════════╪════════════╪═══════╪═══════════╪═══╪════════════╪═══════════╪═══════════╪═══════════╡\n",
-       "│ uniform_1  ┆ 1000000    ┆ 0.0   ┆ 5.996252  ┆ … ┆ 11.999967  ┆ 6.000697  ┆ 0         ┆ {[49805,  │\n",
-       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 49855, …  │\n",
-       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 50008]}   │\n",
-       "│ uniform_2  ┆ 1000000    ┆ 0.0   ┆ 0.499962  ┆ … ┆ 1.0        ┆ 0.500207  ┆ 0         ┆ {[50067,  │\n",
-       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 49732, …  │\n",
-       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 50005]}   │\n",
-       "│ exp        ┆ 1000000    ┆ 0.0   ┆ 2.003303  ┆ … ┆ 28.312644  ┆ 2.199747  ┆ 48246     ┆ {[506568, │\n",
-       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 250135, … │\n",
+       "│ uniform_1  ┆ 1000000    ┆ 0.0   ┆ 6.001636  ┆ … ┆ 11.999993  ┆ 5.999052  ┆ 0         ┆ {[50021,  │\n",
+       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 49883, …  │\n",
+       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 50068]}   │\n",
+       "│ uniform_2  ┆ 1000000    ┆ 0.0   ┆ 0.500018  ┆ … ┆ 0.999999   ┆ 0.499776  ┆ 0         ┆ {[49908,  │\n",
+       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 50146, …  │\n",
+       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 50154]}   │\n",
+       "│ exp        ┆ 1000000    ┆ 0.0   ┆ 1.999904  ┆ … ┆ 31.792581  ┆ 2.197019  ┆ 48144     ┆ {[548265, │\n",
+       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 247983, … │\n",
        "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 1]}       │\n",
-       "│ normal     ┆ 1000000    ┆ 0.0   ┆ -0.000247 ┆ … ┆ 4.900228   ┆ 1.350527  ┆ 6885      ┆ {[17, 75, │\n",
-       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ … 3]}     │\n",
-       "│ fat_normal ┆ 1000000    ┆ 0.0   ┆ -0.741641 ┆ … ┆ 4961.01298 ┆ 1351.4673 ┆ 6980      ┆ {[3, 24,  │\n",
-       "│            ┆            ┆       ┆           ┆   ┆ 4          ┆ 4         ┆           ┆ … 3]}     │\n",
-       "└────────────┴────────────┴───────┴───────────┴───┴────────────┴───────────┴───────────┴───────────┘, _body=<great_tables._gt_data.Body object at 0x71f150379790>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.stub: 2>, column_label='column', column_align='left', column_width=None), ColInfo(var='non_null_cnt', type=<ColInfoTypeEnum.default: 1>, column_label='non_null_cnt', column_align='center', column_width=None), ColInfo(var='null%', type=<ColInfoTypeEnum.default: 1>, column_label='null%', column_align='right', column_width=None), ColInfo(var='mean', type=<ColInfoTypeEnum.default: 1>, column_label='mean', column_align='right', column_width=None), ColInfo(var='std', type=<ColInfoTypeEnum.default: 1>, column_label='std', column_align='right', column_width=None), ColInfo(var='min', type=<ColInfoTypeEnum.default: 1>, column_label='min', column_align='right', column_width=None), ColInfo(var='q1', type=<ColInfoTypeEnum.default: 1>, column_label='q1', column_align='right', column_width=None), ColInfo(var='median', type=<ColInfoTypeEnum.default: 1>, column_label='median', column_align='right', column_width=None), ColInfo(var='q3', type=<ColInfoTypeEnum.default: 1>, column_label='q3', column_align='right', column_width=None), ColInfo(var='max', type=<ColInfoTypeEnum.default: 1>, column_label='max', column_align='right', column_width=None), ColInfo(var='IQR', type=<ColInfoTypeEnum.default: 1>, column_label='IQR', column_align='right', column_width=None), ColInfo(var='outlier_cnt', type=<ColInfoTypeEnum.default: 1>, column_label='outlier_cnt', column_align='center', column_width=None), ColInfo(var='histogram', type=<ColInfoTypeEnum.default: 1>, column_label='histogram', column_align='center', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x71f1649e69f0>, _spanners=Spanners([]), _heading=Heading(title=None, subtitle=None, preheader=None), _stubhead='column', _source_notes=[], _footnotes=[], _styles=[], _locale=<great_tables._gt_data.Locale object at 0x71f15e16eff0>, _formats=[<great_tables._gt_data.FormatInfo object at 0x71f15030aff0>, <great_tables._gt_data.FormatInfo object at 0x71f164709070>, <great_tables._gt_data.FormatInfo object at 0x71f150184f20>], _substitutions=[], _options=Options(table_id=OptionsInfo(scss=False, category='table', type='value', value=None), table_caption=OptionsInfo(scss=False, category='table', type='value', value=None), table_width=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_layout=OptionsInfo(scss=True, category='table', type='value', value='fixed'), table_margin_left=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_margin_right=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_background_color=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_font_names=OptionsInfo(scss=False, category='table', type='values', value=['-apple-system', 'BlinkMacSystemFont', 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Helvetica Neue', 'Fira Sans', 'Droid Sans', 'Arial', 'sans-serif']), table_font_size=OptionsInfo(scss=True, category='table', type='px', value='16px'), table_font_weight=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_style=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_color=OptionsInfo(scss=True, category='table', type='value', value='#333333'), table_font_color_light=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_border_top_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_top_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_top_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_top_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_right_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_right_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_right_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), table_border_bottom_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_bottom_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_bottom_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_bottom_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_left_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_left_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_left_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), heading_background_color=OptionsInfo(scss=True, category='heading', type='value', value=None), heading_align=OptionsInfo(scss=True, category='heading', type='value', value='center'), heading_title_font_size=OptionsInfo(scss=True, category='heading', type='px', value='125%'), heading_title_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_subtitle_font_size=OptionsInfo(scss=True, category='heading', type='px', value='85%'), heading_subtitle_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_padding=OptionsInfo(scss=True, category='heading', type='px', value='4px'), heading_padding_horizontal=OptionsInfo(scss=True, category='heading', type='px', value='5px'), heading_border_bottom_style=OptionsInfo(scss=True, category='heading', type='value', value='solid'), heading_border_bottom_width=OptionsInfo(scss=True, category='heading', type='px', value='2px'), heading_border_bottom_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), heading_border_lr_style=OptionsInfo(scss=True, category='heading', type='value', value='none'), heading_border_lr_width=OptionsInfo(scss=True, category='heading', type='px', value='1px'), heading_border_lr_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), column_labels_background_color=OptionsInfo(scss=True, category='column_labels', type='value', value=None), column_labels_font_size=OptionsInfo(scss=True, category='column_labels', type='px', value='100%'), column_labels_font_weight=OptionsInfo(scss=True, category='column_labels', type='value', value='normal'), column_labels_text_transform=OptionsInfo(scss=True, category='column_labels', type='value', value='inherit'), column_labels_padding=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_padding_horizontal=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), column_labels_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), column_labels_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), column_labels_border_top_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_top_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_top_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_bottom_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_bottom_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_bottom_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_lr_style=OptionsInfo(scss=True, category='column_labels', type='value', value='none'), column_labels_border_lr_width=OptionsInfo(scss=True, category='column_labels', type='px', value='1px'), column_labels_border_lr_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_hidden=OptionsInfo(scss=False, category='column_labels', type='boolean', value=False), row_group_background_color=OptionsInfo(scss=True, category='row_group', type='value', value=None), row_group_font_size=OptionsInfo(scss=True, category='row_group', type='px', value='100%'), row_group_font_weight=OptionsInfo(scss=True, category='row_group', type='value', value='initial'), row_group_text_transform=OptionsInfo(scss=True, category='row_group', type='value', value='inherit'), row_group_padding=OptionsInfo(scss=True, category='row_group', type='px', value='8px'), row_group_padding_horizontal=OptionsInfo(scss=True, category='row_group', type='px', value='5px'), row_group_border_top_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_top_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_top_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_right_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_right_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_right_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_bottom_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_bottom_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_bottom_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_left_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_left_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_left_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_as_column=OptionsInfo(scss=False, category='row_group', type='boolean', value=False), table_body_hlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_hlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_hlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), table_body_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_top_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_top_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_top_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_bottom_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_bottom_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_bottom_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), data_row_padding=OptionsInfo(scss=True, category='data_row', type='px', value='8px'), data_row_padding_horizontal=OptionsInfo(scss=True, category='data_row', type='px', value='5px'), stub_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), stub_row_group_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_row_group_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_row_group_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_row_group_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_row_group_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_row_group_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_row_group_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), source_notes_padding=OptionsInfo(scss=True, category='source_notes', type='px', value='4px'), source_notes_padding_horizontal=OptionsInfo(scss=True, category='source_notes', type='px', value='5px'), source_notes_background_color=OptionsInfo(scss=True, category='source_notes', type='value', value=None), source_notes_font_size=OptionsInfo(scss=True, category='source_notes', type='px', value='90%'), source_notes_border_bottom_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_bottom_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_bottom_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_border_lr_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_lr_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_lr_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_multiline=OptionsInfo(scss=False, category='source_notes', type='boolean', value=True), source_notes_sep=OptionsInfo(scss=False, category='source_notes', type='value', value=' '), container_width=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_height=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_padding_x=OptionsInfo(scss=False, category='container', type='px', value='0px'), container_padding_y=OptionsInfo(scss=False, category='container', type='px', value='10px'), container_overflow_x=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), container_overflow_y=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), quarto_disable_processing=OptionsInfo(scss=False, category='quarto', type='logical', value=False), quarto_use_bootstrap=OptionsInfo(scss=False, category='quarto', type='logical', value=False)), _has_built=False)"
+       "│ normal     ┆ 1000000    ┆ 0.0   ┆ -0.000597 ┆ … ┆ 4.520258   ┆ 1.349116  ┆ 7037      ┆ {[10, 70, │\n",
+       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ … 28]}    │\n",
+       "│ fat_normal ┆ 1000000    ┆ 0.0   ┆ 0.490678  ┆ … ┆ 5044.70848 ┆ 1348.7482 ┆ 7125      ┆ {[26,     │\n",
+       "│            ┆            ┆       ┆           ┆   ┆ 7          ┆ 57        ┆           ┆ 184, …    │\n",
+       "│            ┆            ┆       ┆           ┆   ┆            ┆           ┆           ┆ 4]}       │\n",
+       "└────────────┴────────────┴───────┴───────────┴───┴────────────┴───────────┴───────────┴───────────┘, _body=<great_tables._gt_data.Body object at 0x70b15593b290>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.stub: 2>, column_label='column', column_align='left', column_width=None), ColInfo(var='non_null_cnt', type=<ColInfoTypeEnum.default: 1>, column_label='non_null_cnt', column_align='center', column_width=None), ColInfo(var='null%', type=<ColInfoTypeEnum.default: 1>, column_label='null%', column_align='right', column_width=None), ColInfo(var='mean', type=<ColInfoTypeEnum.default: 1>, column_label='mean', column_align='right', column_width=None), ColInfo(var='std', type=<ColInfoTypeEnum.default: 1>, column_label='std', column_align='right', column_width=None), ColInfo(var='min', type=<ColInfoTypeEnum.default: 1>, column_label='min', column_align='right', column_width=None), ColInfo(var='q1', type=<ColInfoTypeEnum.default: 1>, column_label='q1', column_align='right', column_width=None), ColInfo(var='median', type=<ColInfoTypeEnum.default: 1>, column_label='median', column_align='right', column_width=None), ColInfo(var='q3', type=<ColInfoTypeEnum.default: 1>, column_label='q3', column_align='right', column_width=None), ColInfo(var='max', type=<ColInfoTypeEnum.default: 1>, column_label='max', column_align='right', column_width=None), ColInfo(var='IQR', type=<ColInfoTypeEnum.default: 1>, column_label='IQR', column_align='right', column_width=None), ColInfo(var='outlier_cnt', type=<ColInfoTypeEnum.default: 1>, column_label='outlier_cnt', column_align='center', column_width=None), ColInfo(var='histogram', type=<ColInfoTypeEnum.default: 1>, column_label='histogram', column_align='center', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x70b15489ca40>, _spanners=Spanners([]), _heading=Heading(title=None, subtitle=None, preheader=None), _stubhead='column', _source_notes=[], _footnotes=[], _styles=[], _locale=<great_tables._gt_data.Locale object at 0x70b15489c9e0>, _formats=[<great_tables._gt_data.FormatInfo object at 0x70b1547c8200>, <great_tables._gt_data.FormatInfo object at 0x70b155971a60>, <great_tables._gt_data.FormatInfo object at 0x70b15488bb90>], _substitutions=[], _options=Options(table_id=OptionsInfo(scss=False, category='table', type='value', value=None), table_caption=OptionsInfo(scss=False, category='table', type='value', value=None), table_width=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_layout=OptionsInfo(scss=True, category='table', type='value', value='fixed'), table_margin_left=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_margin_right=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_background_color=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_font_names=OptionsInfo(scss=False, category='table', type='values', value=['-apple-system', 'BlinkMacSystemFont', 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Helvetica Neue', 'Fira Sans', 'Droid Sans', 'Arial', 'sans-serif']), table_font_size=OptionsInfo(scss=True, category='table', type='px', value='16px'), table_font_weight=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_style=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_color=OptionsInfo(scss=True, category='table', type='value', value='#333333'), table_font_color_light=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_border_top_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_top_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_top_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_top_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_right_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_right_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_right_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), table_border_bottom_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_bottom_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_bottom_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_bottom_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_left_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_left_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_left_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), heading_background_color=OptionsInfo(scss=True, category='heading', type='value', value=None), heading_align=OptionsInfo(scss=True, category='heading', type='value', value='center'), heading_title_font_size=OptionsInfo(scss=True, category='heading', type='px', value='125%'), heading_title_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_subtitle_font_size=OptionsInfo(scss=True, category='heading', type='px', value='85%'), heading_subtitle_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_padding=OptionsInfo(scss=True, category='heading', type='px', value='4px'), heading_padding_horizontal=OptionsInfo(scss=True, category='heading', type='px', value='5px'), heading_border_bottom_style=OptionsInfo(scss=True, category='heading', type='value', value='solid'), heading_border_bottom_width=OptionsInfo(scss=True, category='heading', type='px', value='2px'), heading_border_bottom_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), heading_border_lr_style=OptionsInfo(scss=True, category='heading', type='value', value='none'), heading_border_lr_width=OptionsInfo(scss=True, category='heading', type='px', value='1px'), heading_border_lr_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), column_labels_background_color=OptionsInfo(scss=True, category='column_labels', type='value', value=None), column_labels_font_size=OptionsInfo(scss=True, category='column_labels', type='px', value='100%'), column_labels_font_weight=OptionsInfo(scss=True, category='column_labels', type='value', value='normal'), column_labels_text_transform=OptionsInfo(scss=True, category='column_labels', type='value', value='inherit'), column_labels_padding=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_padding_horizontal=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), column_labels_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), column_labels_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), column_labels_border_top_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_top_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_top_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_bottom_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_bottom_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_bottom_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_lr_style=OptionsInfo(scss=True, category='column_labels', type='value', value='none'), column_labels_border_lr_width=OptionsInfo(scss=True, category='column_labels', type='px', value='1px'), column_labels_border_lr_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_hidden=OptionsInfo(scss=False, category='column_labels', type='boolean', value=False), row_group_background_color=OptionsInfo(scss=True, category='row_group', type='value', value=None), row_group_font_size=OptionsInfo(scss=True, category='row_group', type='px', value='100%'), row_group_font_weight=OptionsInfo(scss=True, category='row_group', type='value', value='initial'), row_group_text_transform=OptionsInfo(scss=True, category='row_group', type='value', value='inherit'), row_group_padding=OptionsInfo(scss=True, category='row_group', type='px', value='8px'), row_group_padding_horizontal=OptionsInfo(scss=True, category='row_group', type='px', value='5px'), row_group_border_top_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_top_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_top_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_right_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_right_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_right_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_bottom_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_bottom_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_bottom_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_left_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_left_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_left_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_as_column=OptionsInfo(scss=False, category='row_group', type='boolean', value=False), table_body_hlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_hlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_hlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), table_body_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_top_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_top_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_top_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_bottom_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_bottom_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_bottom_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), data_row_padding=OptionsInfo(scss=True, category='data_row', type='px', value='8px'), data_row_padding_horizontal=OptionsInfo(scss=True, category='data_row', type='px', value='5px'), stub_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), stub_row_group_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_row_group_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_row_group_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_row_group_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_row_group_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_row_group_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_row_group_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), source_notes_padding=OptionsInfo(scss=True, category='source_notes', type='px', value='4px'), source_notes_padding_horizontal=OptionsInfo(scss=True, category='source_notes', type='px', value='5px'), source_notes_background_color=OptionsInfo(scss=True, category='source_notes', type='value', value=None), source_notes_font_size=OptionsInfo(scss=True, category='source_notes', type='px', value='90%'), source_notes_border_bottom_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_bottom_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_bottom_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_border_lr_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_lr_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_lr_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_multiline=OptionsInfo(scss=False, category='source_notes', type='boolean', value=True), source_notes_sep=OptionsInfo(scss=False, category='source_notes', type='value', value=' '), container_width=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_height=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_padding_x=OptionsInfo(scss=False, category='container', type='px', value='0px'), container_padding_y=OptionsInfo(scss=False, category='container', type='px', value='10px'), container_overflow_x=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), container_overflow_y=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), quarto_disable_processing=OptionsInfo(scss=False, category='quarto', type='logical', value=False), quarto_use_bootstrap=OptionsInfo(scss=False, category='quarto', type='logical', value=False)), _has_built=False)"
       ]
      },
      "execution_count": 5,
@@ -329,7 +330,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (5, 12)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>column</th><th>non_null_cnt</th><th>null%</th><th>mean</th><th>std</th><th>min</th><th>q1</th><th>median</th><th>q3</th><th>max</th><th>IQR</th><th>outlier_cnt</th></tr><tr><td>str</td><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>u32</td></tr></thead><tbody><tr><td>&quot;uniform_1&quot;</td><td>1000000</td><td>0.0</td><td>5.996252</td><td>3.462881</td><td>0.000032</td><td>2.995245</td><td>6.0</td><td>8.995942</td><td>11.999967</td><td>6.000697</td><td>0</td></tr><tr><td>&quot;uniform_2&quot;</td><td>1000000</td><td>0.0</td><td>0.499962</td><td>0.288717</td><td>6.9188e-7</td><td>0.249683</td><td>0.5</td><td>0.74989</td><td>1.0</td><td>0.500207</td><td>0</td></tr><tr><td>&quot;exp&quot;</td><td>1000000</td><td>0.0</td><td>2.003303</td><td>2.002852</td><td>0.000001</td><td>0.576176</td><td>1.39</td><td>2.775923</td><td>28.312644</td><td>2.199747</td><td>48246</td></tr><tr><td>&quot;normal&quot;</td><td>1000000</td><td>0.0</td><td>-0.000247</td><td>1.000137</td><td>-4.664245</td><td>-0.675947</td><td>-0.0</td><td>0.67458</td><td>4.900228</td><td>1.350527</td><td>6885</td></tr><tr><td>&quot;fat_normal&quot;</td><td>1000000</td><td>0.0</td><td>-0.741641</td><td>1001.111844</td><td>-5085.765853</td><td>-676.018807</td><td>-0.11</td><td>675.448533</td><td>4961.012984</td><td>1351.46734</td><td>6980</td></tr></tbody></table></div>"
+       "<small>shape: (5, 12)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>column</th><th>non_null_cnt</th><th>null%</th><th>mean</th><th>std</th><th>min</th><th>q1</th><th>median</th><th>q3</th><th>max</th><th>IQR</th><th>outlier_cnt</th></tr><tr><td>str</td><td>u32</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>f64</td><td>u32</td></tr></thead><tbody><tr><td>&quot;uniform_1&quot;</td><td>1000000</td><td>0.0</td><td>6.001636</td><td>3.463859</td><td>0.00001</td><td>3.003618</td><td>6.0</td><td>9.00267</td><td>11.999993</td><td>5.999052</td><td>0</td></tr><tr><td>&quot;uniform_2&quot;</td><td>1000000</td><td>0.0</td><td>0.500018</td><td>0.288728</td><td>4.5036e-7</td><td>0.249966</td><td>0.5</td><td>0.749742</td><td>0.999999</td><td>0.499776</td><td>0</td></tr><tr><td>&quot;exp&quot;</td><td>1000000</td><td>0.0</td><td>1.999904</td><td>2.000336</td><td>0.000002</td><td>0.574317</td><td>1.39</td><td>2.771336</td><td>31.792581</td><td>2.197019</td><td>48144</td></tr><tr><td>&quot;normal&quot;</td><td>1000000</td><td>0.0</td><td>-0.000597</td><td>0.999897</td><td>-4.69806</td><td>-0.674803</td><td>-0.0</td><td>0.674313</td><td>4.520258</td><td>1.349116</td><td>7037</td></tr><tr><td>&quot;fat_normal&quot;</td><td>1000000</td><td>0.0</td><td>0.490678</td><td>1000.149874</td><td>-4465.548715</td><td>-674.268979</td><td>1.6</td><td>674.479278</td><td>5044.708487</td><td>1348.748257</td><td>7125</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (5, 12)\n",
@@ -339,12 +340,12 @@
        "│ str        ┆ ---        ┆ f64   ┆ f64       ┆   ┆ f64        ┆ f64       ┆ f64       ┆ ---       │\n",
        "│            ┆ u32        ┆       ┆           ┆   ┆            ┆           ┆           ┆ u32       │\n",
        "╞════════════╪════════════╪═══════╪═══════════╪═══╪════════════╪═══════════╪═══════════╪═══════════╡\n",
-       "│ uniform_1  ┆ 1000000    ┆ 0.0   ┆ 5.996252  ┆ … ┆ 8.995942   ┆ 11.999967 ┆ 6.000697  ┆ 0         │\n",
-       "│ uniform_2  ┆ 1000000    ┆ 0.0   ┆ 0.499962  ┆ … ┆ 0.74989    ┆ 1.0       ┆ 0.500207  ┆ 0         │\n",
-       "│ exp        ┆ 1000000    ┆ 0.0   ┆ 2.003303  ┆ … ┆ 2.775923   ┆ 28.312644 ┆ 2.199747  ┆ 48246     │\n",
-       "│ normal     ┆ 1000000    ┆ 0.0   ┆ -0.000247 ┆ … ┆ 0.67458    ┆ 4.900228  ┆ 1.350527  ┆ 6885      │\n",
-       "│ fat_normal ┆ 1000000    ┆ 0.0   ┆ -0.741641 ┆ … ┆ 675.448533 ┆ 4961.0129 ┆ 1351.4673 ┆ 6980      │\n",
-       "│            ┆            ┆       ┆           ┆   ┆            ┆ 84        ┆ 4         ┆           │\n",
+       "│ uniform_1  ┆ 1000000    ┆ 0.0   ┆ 6.001636  ┆ … ┆ 9.00267    ┆ 11.999993 ┆ 5.999052  ┆ 0         │\n",
+       "│ uniform_2  ┆ 1000000    ┆ 0.0   ┆ 0.500018  ┆ … ┆ 0.749742   ┆ 0.999999  ┆ 0.499776  ┆ 0         │\n",
+       "│ exp        ┆ 1000000    ┆ 0.0   ┆ 1.999904  ┆ … ┆ 2.771336   ┆ 31.792581 ┆ 2.197019  ┆ 48144     │\n",
+       "│ normal     ┆ 1000000    ┆ 0.0   ┆ -0.000597 ┆ … ┆ 0.674313   ┆ 4.520258  ┆ 1.349116  ┆ 7037      │\n",
+       "│ fat_normal ┆ 1000000    ┆ 0.0   ┆ 0.490678  ┆ … ┆ 674.479278 ┆ 5044.7084 ┆ 1348.7482 ┆ 7125      │\n",
+       "│            ┆            ┆       ┆           ┆   ┆            ┆ 87        ┆ 57        ┆           │\n",
        "└────────────┴────────────┴───────┴───────────┴───┴────────────┴───────────┴───────────┴───────────┘"
       ]
      },
@@ -373,7 +374,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (10, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>x</th><th>y</th><th>corr</th></tr><tr><td>str</td><td>str</td><td>f64</td></tr></thead><tbody><tr><td>&quot;exp&quot;</td><td>&quot;normal&quot;</td><td>0.001639</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;exp&quot;</td><td>-0.000961</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000768</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000742</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;normal&quot;</td><td>-0.000656</td></tr><tr><td>&quot;normal&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000655</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;exp&quot;</td><td>-0.000561</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;uniform_2&quot;</td><td>-0.000346</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;normal&quot;</td><td>0.00014</td></tr><tr><td>&quot;exp&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000051</td></tr></tbody></table></div>"
+       "<small>shape: (10, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>x</th><th>y</th><th>corr</th></tr><tr><td>str</td><td>str</td><td>f64</td></tr></thead><tbody><tr><td>&quot;uniform_1&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.001305</td></tr><tr><td>&quot;exp&quot;</td><td>&quot;normal&quot;</td><td>-0.001276</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;normal&quot;</td><td>0.001218</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;exp&quot;</td><td>-0.001157</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;uniform_2&quot;</td><td>-0.001007</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;fat_normal&quot;</td><td>0.00091</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;normal&quot;</td><td>-0.000869</td></tr><tr><td>&quot;normal&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000451</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;exp&quot;</td><td>-0.000393</td></tr><tr><td>&quot;exp&quot;</td><td>&quot;fat_normal&quot;</td><td>0.000062</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (10, 3)\n",
@@ -382,16 +383,16 @@
        "│ ---       ┆ ---        ┆ ---       │\n",
        "│ str       ┆ str        ┆ f64       │\n",
        "╞═══════════╪════════════╪═══════════╡\n",
-       "│ exp       ┆ normal     ┆ 0.001639  │\n",
-       "│ uniform_1 ┆ exp        ┆ -0.000961 │\n",
-       "│ uniform_1 ┆ fat_normal ┆ -0.000768 │\n",
-       "│ uniform_2 ┆ fat_normal ┆ -0.000742 │\n",
-       "│ uniform_2 ┆ normal     ┆ -0.000656 │\n",
-       "│ normal    ┆ fat_normal ┆ -0.000655 │\n",
-       "│ uniform_2 ┆ exp        ┆ -0.000561 │\n",
-       "│ uniform_1 ┆ uniform_2  ┆ -0.000346 │\n",
-       "│ uniform_1 ┆ normal     ┆ 0.00014   │\n",
-       "│ exp       ┆ fat_normal ┆ -0.000051 │\n",
+       "│ uniform_1 ┆ fat_normal ┆ -0.001305 │\n",
+       "│ exp       ┆ normal     ┆ -0.001276 │\n",
+       "│ uniform_1 ┆ normal     ┆ 0.001218  │\n",
+       "│ uniform_2 ┆ exp        ┆ -0.001157 │\n",
+       "│ uniform_1 ┆ uniform_2  ┆ -0.001007 │\n",
+       "│ uniform_2 ┆ fat_normal ┆ 0.00091   │\n",
+       "│ uniform_2 ┆ normal     ┆ -0.000869 │\n",
+       "│ normal    ┆ fat_normal ┆ -0.000451 │\n",
+       "│ uniform_1 ┆ exp        ┆ -0.000393 │\n",
+       "│ exp       ┆ fat_normal ┆ 0.000062  │\n",
        "└───────────┴────────────┴───────────┘"
       ]
      },
@@ -419,7 +420,7 @@
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<small>shape: (10, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>x</th><th>y</th><th>corr</th></tr><tr><td>str</td><td>str</td><td>f64</td></tr></thead><tbody><tr><td>&quot;exp&quot;</td><td>&quot;normal&quot;</td><td>0.001063</td></tr><tr><td>&quot;exp&quot;</td><td>&quot;fat_normal&quot;</td><td>0.000532</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000509</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;normal&quot;</td><td>-0.000487</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000448</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;normal&quot;</td><td>0.000329</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;uniform_2&quot;</td><td>-0.000232</td></tr><tr><td>&quot;normal&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000098</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;exp&quot;</td><td>-0.000074</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;exp&quot;</td><td>0.000057</td></tr></tbody></table></div>"
+       "<small>shape: (10, 3)</small><table border=\"1\" class=\"dataframe\"><thead><tr><th>x</th><th>y</th><th>corr</th></tr><tr><td>str</td><td>str</td><td>f64</td></tr></thead><tbody><tr><td>&quot;uniform_2&quot;</td><td>&quot;exp&quot;</td><td>-0.000965</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.000891</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;normal&quot;</td><td>0.00086</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;normal&quot;</td><td>-0.000754</td></tr><tr><td>&quot;exp&quot;</td><td>&quot;normal&quot;</td><td>-0.000725</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;uniform_2&quot;</td><td>-0.000672</td></tr><tr><td>&quot;uniform_2&quot;</td><td>&quot;fat_normal&quot;</td><td>0.000449</td></tr><tr><td>&quot;exp&quot;</td><td>&quot;fat_normal&quot;</td><td>0.000358</td></tr><tr><td>&quot;uniform_1&quot;</td><td>&quot;exp&quot;</td><td>-0.000155</td></tr><tr><td>&quot;normal&quot;</td><td>&quot;fat_normal&quot;</td><td>-0.00008</td></tr></tbody></table></div>"
       ],
       "text/plain": [
        "shape: (10, 3)\n",
@@ -428,16 +429,16 @@
        "│ ---       ┆ ---        ┆ ---       │\n",
        "│ str       ┆ str        ┆ f64       │\n",
        "╞═══════════╪════════════╪═══════════╡\n",
-       "│ exp       ┆ normal     ┆ 0.001063  │\n",
-       "│ exp       ┆ fat_normal ┆ 0.000532  │\n",
-       "│ uniform_1 ┆ fat_normal ┆ -0.000509 │\n",
-       "│ uniform_2 ┆ normal     ┆ -0.000487 │\n",
-       "│ uniform_2 ┆ fat_normal ┆ -0.000448 │\n",
-       "│ uniform_1 ┆ normal     ┆ 0.000329  │\n",
-       "│ uniform_1 ┆ uniform_2  ┆ -0.000232 │\n",
-       "│ normal    ┆ fat_normal ┆ -0.000098 │\n",
-       "│ uniform_1 ┆ exp        ┆ -0.000074 │\n",
-       "│ uniform_2 ┆ exp        ┆ 0.000057  │\n",
+       "│ uniform_2 ┆ exp        ┆ -0.000965 │\n",
+       "│ uniform_1 ┆ fat_normal ┆ -0.000891 │\n",
+       "│ uniform_1 ┆ normal     ┆ 0.00086   │\n",
+       "│ uniform_2 ┆ normal     ┆ -0.000754 │\n",
+       "│ exp       ┆ normal     ┆ -0.000725 │\n",
+       "│ uniform_1 ┆ uniform_2  ┆ -0.000672 │\n",
+       "│ uniform_2 ┆ fat_normal ┆ 0.000449  │\n",
+       "│ exp       ┆ fat_normal ┆ 0.000358  │\n",
+       "│ uniform_1 ┆ exp        ┆ -0.000155 │\n",
+       "│ normal    ┆ fat_normal ┆ -0.00008  │\n",
        "└───────────┴────────────┴───────────┘"
       ]
      },
@@ -603,7 +604,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_19758/3037619369.py:1: UserWarning: The following columns are dropped because they cannot be used in dependency detection: ['Monthly_Income', 'Existing_EMI', 'Interest_Rate']\n",
+      "/tmp/ipykernel_6896/3037619369.py:1: UserWarning: The following columns are dropped because they cannot be used in dependency detection: ['Monthly_Income', 'Existing_EMI', 'Interest_Rate']\n",
       "  dia.infer_dependency()\n"
      ]
     },
@@ -658,7 +659,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/home/abstractqqq/Desktop/MY/Projects/polars_ds_extension/python/polars_ds/diagnosis.py:800: UserWarning: The following columns are dropped because they cannot be used in dependency detection: ['Monthly_Income', 'Existing_EMI', 'Interest_Rate']\n",
+      "/home/abstractqqq/Desktop/MY/Projects/polars_ds_extension/python/polars_ds/diagnosis.py:803: UserWarning: The following columns are dropped because they cannot be used in dependency detection: ['Monthly_Income', 'Existing_EMI', 'Interest_Rate']\n",
       "  dep_frame = self.infer_dependency(subset=subset)\n"
      ]
     },
@@ -671,238 +672,238 @@
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-       "<!-- EMI -->\n",
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+       "<!-- Approved -->\n",
+       "<g id=\"node16\" class=\"node\">\n",
+       "<title>Approved</title>\n",
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-       "<!-- ID&#45;&gt;EMI -->\n",
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-       "<title>ID&#45;&gt;EMI</title>\n",
-       "<path fill=\"none\" stroke=\"black\" d=\"M849.85,-160.78C982.3,-159.51 1562.29,-151.49 1736.76,-108 1738.52,-107.56 1740.29,-107.04 1742.06,-106.46\"/>\n",
-       "<polygon fill=\"black\" stroke=\"black\" points=\"1743.28,-109.74 1751.32,-102.84 1740.73,-103.22 1743.28,-109.74\"/>\n",
+       "<title>ID&#45;&gt;Approved</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1061.5,-159.36C1130.69,-154.84 1318.86,-140.32 1472.32,-108 1475.64,-107.3 1479.05,-106.49 1482.47,-105.62\"/>\n",
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-       "<!-- Loan_Period -->\n",
-       "<g id=\"node19\" class=\"node\">\n",
-       "<title>Loan_Period</title>\n",
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-       "<text text-anchor=\"middle\" x=\"1878.76\" y=\"-84.95\" font-family=\"Times,serif\" font-size=\"14.00\">Loan_Period</text>\n",
+       "<!-- Loan_Amount -->\n",
+       "<g id=\"node17\" class=\"node\">\n",
+       "<title>Loan_Amount</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1659.32\" cy=\"-90\" rx=\"65.17\" ry=\"18\"/>\n",
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-       "<!-- ID&#45;&gt;Loan_Period -->\n",
+       "<!-- ID&#45;&gt;Loan_Amount -->\n",
+       "<g id=\"edge16\" class=\"edge\">\n",
+       "<title>ID&#45;&gt;Loan_Amount</title>\n",
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+       "</g>\n",
+       "<!-- Gender -->\n",
+       "<g id=\"node18\" class=\"node\">\n",
+       "<title>Gender</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1780.32\" cy=\"-90\" rx=\"38.04\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1780.32\" y=\"-84.95\" font-family=\"Times,serif\" font-size=\"14.00\">Gender</text>\n",
+       "</g>\n",
+       "<!-- ID&#45;&gt;Gender -->\n",
        "<g id=\"edge17\" class=\"edge\">\n",
-       "<title>ID&#45;&gt;Loan_Period</title>\n",
-       "<path fill=\"none\" stroke=\"black\" d=\"M850.06,-161.44C966.55,-162.92 1433.24,-164.78 1810.76,-108 1815.63,-107.27 1820.66,-106.34 1825.68,-105.3\"/>\n",
-       "<polygon fill=\"black\" stroke=\"black\" points=\"1826.1,-108.79 1835.1,-103.2 1824.57,-101.96 1826.1,-108.79\"/>\n",
+       "<title>ID&#45;&gt;Gender</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1061.69,-161.57C1156.11,-162.97 1476.59,-163.09 1733.32,-108 1736.07,-107.41 1738.87,-106.7 1741.67,-105.9\"/>\n",
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-       "<!-- Employer_Category2 -->\n",
-       "<g id=\"node9\" class=\"node\">\n",
-       "<title>Employer_Category2</title>\n",
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-       "<text text-anchor=\"middle\" x=\"90.76\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">Employer_Category2</text>\n",
+       "<!-- DOB -->\n",
+       "<g id=\"node19\" class=\"node\">\n",
+       "<title>DOB</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1866.32\" cy=\"-90\" rx=\"30.37\" ry=\"18\"/>\n",
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-       "<!-- Employer_Code&#45;&gt;Employer_Category2 -->\n",
-       "<g id=\"edge8\" class=\"edge\">\n",
-       "<title>Employer_Code&#45;&gt;Employer_Category2</title>\n",
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+       "<!-- ID&#45;&gt;DOB -->\n",
+       "<g id=\"edge18\" class=\"edge\">\n",
+       "<title>ID&#45;&gt;DOB</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1061.36,-160.44C1182.64,-157.72 1677.17,-144.57 1827.32,-108 1829.19,-107.54 1831.09,-107 1832.99,-106.4\"/>\n",
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+       "</g>\n",
+       "<!-- Primary_Bank_Type -->\n",
+       "<g id=\"node7\" class=\"node\">\n",
+       "<title>Primary_Bank_Type</title>\n",
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+       "<text text-anchor=\"middle\" x=\"240.32\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">Primary_Bank_Type</text>\n",
+       "</g>\n",
+       "<!-- Customer_Existing_Primary_Bank_Code&#45;&gt;Primary_Bank_Type -->\n",
+       "<g id=\"edge5\" class=\"edge\">\n",
+       "<title>Customer_Existing_Primary_Bank_Code&#45;&gt;Primary_Bank_Type</title>\n",
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        "</g>\n",
        "<!-- Employer_Category1 -->\n",
-       "<g id=\"node18\" class=\"node\">\n",
+       "<g id=\"node5\" class=\"node\">\n",
        "<title>Employer_Category1</title>\n",
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        "</g>\n",
        "<!-- Employer_Code&#45;&gt;Employer_Category1 -->\n",
-       "<g id=\"edge16\" class=\"edge\">\n",
+       "<g id=\"edge4\" class=\"edge\">\n",
        "<title>Employer_Code&#45;&gt;Employer_Category1</title>\n",
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-       "<g id=\"node12\" class=\"node\">\n",
-       "<title>City_Category</title>\n",
-       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1134.76\" cy=\"-18\" rx=\"65.17\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"1134.76\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">City_Category</text>\n",
+       "<!-- Employer_Category2 -->\n",
+       "<g id=\"node8\" class=\"node\">\n",
+       "<title>Employer_Category2</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"704.32\" cy=\"-18\" rx=\"90.76\" ry=\"18\"/>\n",
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        "</g>\n",
-       "<!-- City_Code&#45;&gt;City_Category -->\n",
-       "<g id=\"edge11\" class=\"edge\">\n",
-       "<title>City_Code&#45;&gt;City_Category</title>\n",
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-       "<polygon fill=\"black\" stroke=\"black\" points=\"1138.26,-47.62 1134.76,-37.62 1131.26,-47.62 1138.26,-47.62\"/>\n",
+       "<!-- Employer_Code&#45;&gt;Employer_Category2 -->\n",
+       "<g id=\"edge6\" class=\"edge\">\n",
+       "<title>Employer_Code&#45;&gt;Employer_Category2</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M600.39,-73.29C619.01,-63.57 643.15,-50.95 663.49,-40.33\"/>\n",
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        "</g>\n",
-       "<!-- Primary_Bank_Type -->\n",
+       "<!-- City_Category -->\n",
        "<g id=\"node14\" class=\"node\">\n",
-       "<title>Primary_Bank_Type</title>\n",
-       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1368.76\" cy=\"-18\" rx=\"88.71\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"1368.76\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">Primary_Bank_Type</text>\n",
+       "<title>City_Category</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1218.32\" cy=\"-18\" rx=\"65.17\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1218.32\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">City_Category</text>\n",
        "</g>\n",
-       "<!-- Customer_Existing_Primary_Bank_Code&#45;&gt;Primary_Bank_Type -->\n",
+       "<!-- City_Code&#45;&gt;City_Category -->\n",
        "<g id=\"edge12\" class=\"edge\">\n",
-       "<title>Customer_Existing_Primary_Bank_Code&#45;&gt;Primary_Bank_Type</title>\n",
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-       "<polygon fill=\"black\" stroke=\"black\" points=\"1372.26,-47.62 1368.76,-37.62 1365.26,-47.62 1372.26,-47.62\"/>\n",
+       "<title>City_Code&#45;&gt;City_Category</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1218.32,-71.7C1218.32,-64.41 1218.32,-55.73 1218.32,-47.54\"/>\n",
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        "</g>\n",
        "</svg>\n"
       ],
       "text/plain": [
-       "<graphviz.graphs.Digraph at 0x71f164709040>"
+       "<graphviz.graphs.Digraph at 0x70b149726300>"
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      },
      "execution_count": 15,
@@ -923,7 +924,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/home/abstractqqq/Desktop/MY/Projects/polars_ds_extension/python/polars_ds/diagnosis.py:800: UserWarning: The following columns are dropped because they cannot be used in dependency detection: ['Monthly_Income', 'Existing_EMI', 'Interest_Rate']\n",
+      "/home/abstractqqq/Desktop/MY/Projects/polars_ds_extension/python/polars_ds/diagnosis.py:803: UserWarning: The following columns are dropped because they cannot be used in dependency detection: ['Monthly_Income', 'Existing_EMI', 'Interest_Rate']\n",
       "  dep_frame = self.infer_dependency(subset=subset)\n"
      ]
     },
@@ -941,77 +942,77 @@
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        "<title>Dependency Plot</title>\n",
        "<polygon fill=\"white\" stroke=\"none\" points=\"-4,4 -4,-112 868.25,-112 868.25,4 -4,4\"/>\n",
-       "<!-- Employer_Category1 -->\n",
+       "<!-- Primary_Bank_Type -->\n",
        "<g id=\"node1\" class=\"node\">\n",
-       "<title>Employer_Category1</title>\n",
-       "<ellipse fill=\"none\" stroke=\"black\" cx=\"90.76\" cy=\"-18\" rx=\"90.76\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"90.76\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">Employer_Category1</text>\n",
+       "<title>Primary_Bank_Type</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"165.48\" cy=\"-18\" rx=\"88.71\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"165.48\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">Primary_Bank_Type</text>\n",
        "</g>\n",
-       "<!-- Employer_Code -->\n",
+       "<!-- Customer_Existing_Primary_Bank_Code -->\n",
        "<g id=\"node2\" class=\"node\">\n",
-       "<title>Employer_Code</title>\n",
-       "<ellipse fill=\"none\" stroke=\"black\" cx=\"190.76\" cy=\"-90\" rx=\"71.82\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"190.76\" y=\"-84.95\" font-family=\"Times,serif\" font-size=\"14.00\">Employer_Code</text>\n",
+       "<title>Customer_Existing_Primary_Bank_Code</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"165.48\" cy=\"-90\" rx=\"165.48\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"165.48\" y=\"-84.95\" font-family=\"Times,serif\" font-size=\"14.00\">Customer_Existing_Primary_Bank_Code</text>\n",
        "</g>\n",
-       "<!-- Employer_Code&#45;&gt;Employer_Category1 -->\n",
+       "<!-- Customer_Existing_Primary_Bank_Code&#45;&gt;Primary_Bank_Type -->\n",
        "<g id=\"edge1\" class=\"edge\">\n",
-       "<title>Employer_Code&#45;&gt;Employer_Category1</title>\n",
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-       "<title>Employer_Category2</title>\n",
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-       "<g id=\"edge4\" class=\"edge\">\n",
-       "<title>Employer_Code&#45;&gt;Employer_Category2</title>\n",
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-       "<polygon fill=\"black\" stroke=\"black\" points=\"259.34,-45.27 265.53,-36.66 255.33,-39.53 259.34,-45.27\"/>\n",
+       "<title>Customer_Existing_Primary_Bank_Code&#45;&gt;Primary_Bank_Type</title>\n",
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-       "<!-- Customer_Existing_Primary_Bank_Code -->\n",
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-       "<!-- Customer_Existing_Primary_Bank_Code&#45;&gt;Primary_Bank_Type -->\n",
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-       "<title>Customer_Existing_Primary_Bank_Code&#45;&gt;Primary_Bank_Type</title>\n",
-       "<path fill=\"none\" stroke=\"black\" d=\"M698.76,-71.7C698.76,-64.41 698.76,-55.73 698.76,-47.54\"/>\n",
-       "<polygon fill=\"black\" stroke=\"black\" points=\"702.26,-47.62 698.76,-37.62 695.26,-47.62 702.26,-47.62\"/>\n",
+       "<title>Employer_Code&#45;&gt;Employer_Category1</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M650.04,-72.59C637.19,-63.59 621.04,-52.29 606.89,-42.38\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"608.92,-39.53 598.72,-36.66 604.9,-45.27 608.92,-39.53\"/>\n",
+       "</g>\n",
+       "<!-- Employer_Category2 -->\n",
+       "<g id=\"node7\" class=\"node\">\n",
+       "<title>Employer_Category2</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"773.48\" cy=\"-18\" rx=\"90.76\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"773.48\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">Employer_Category2</text>\n",
+       "</g>\n",
+       "<!-- Employer_Code&#45;&gt;Employer_Category2 -->\n",
+       "<g id=\"edge4\" class=\"edge\">\n",
+       "<title>Employer_Code&#45;&gt;Employer_Category2</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M696.93,-72.59C709.78,-63.59 725.93,-52.29 740.08,-42.38\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"742.07,-45.27 748.25,-36.66 738.05,-39.53 742.07,-45.27\"/>\n",
        "</g>\n",
        "</g>\n",
        "</svg>\n"
       ],
       "text/plain": [
-       "<graphviz.graphs.Digraph at 0x71f150379670>"
+       "<graphviz.graphs.Digraph at 0x70b13c1d63f0>"
       ]
      },
      "execution_count": 16,
@@ -1096,51 +1097,51 @@
     {
      "data": {
       "text/html": [
-       "<div id=\"csnrztejus\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
+       "<div id=\"yeulblglrz\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
        "<style>\n",
-       "#csnrztejus table {\n",
+       "#yeulblglrz table {\n",
        "          font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen, Ubuntu, Cantarell, 'Helvetica Neue', 'Fira Sans', 'Droid Sans', Arial, sans-serif;\n",
        "          -webkit-font-smoothing: antialiased;\n",
        "          -moz-osx-font-smoothing: grayscale;\n",
        "        }\n",
        "\n",
-       "#csnrztejus thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
+       "#yeulblglrz thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
        " tr { background-color: transparent !important; }\n",
-       "#csnrztejus p { margin: 0 !important; padding: 0 !important; }\n",
-       " #csnrztejus .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
-       " #csnrztejus .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
-       " #csnrztejus .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
-       " #csnrztejus .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
-       " #csnrztejus .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #csnrztejus .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #csnrztejus .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #csnrztejus .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
-       " #csnrztejus .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
-       " #csnrztejus .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
-       " #csnrztejus .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
-       " #csnrztejus .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
-       " #csnrztejus .gt_spanner_row { border-bottom-style: hidden !important; }\n",
-       " #csnrztejus .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
-       " #csnrztejus .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
-       " #csnrztejus .gt_from_md> :first-child { margin-top: 0 !important; }\n",
-       " #csnrztejus .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
-       " #csnrztejus .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
-       " #csnrztejus .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
-       " #csnrztejus .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
-       " #csnrztejus .gt_row_group_first td { border-top-width: 2px !important; }\n",
-       " #csnrztejus .gt_row_group_first th { border-top-width: 2px !important; }\n",
-       " #csnrztejus .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #csnrztejus .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #csnrztejus .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
-       " #csnrztejus .gt_left { text-align: left !important; }\n",
-       " #csnrztejus .gt_center { text-align: center !important; }\n",
-       " #csnrztejus .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
-       " #csnrztejus .gt_font_normal { font-weight: normal !important; }\n",
-       " #csnrztejus .gt_font_bold { font-weight: bold !important; }\n",
-       " #csnrztejus .gt_font_italic { font-style: italic !important; }\n",
-       " #csnrztejus .gt_super { font-size: 65% !important; }\n",
-       " #csnrztejus .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
-       " #csnrztejus .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
+       "#yeulblglrz p { margin: 0 !important; padding: 0 !important; }\n",
+       " #yeulblglrz .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
+       " #yeulblglrz .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
+       " #yeulblglrz .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
+       " #yeulblglrz .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
+       " #yeulblglrz .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #yeulblglrz .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #yeulblglrz .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #yeulblglrz .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
+       " #yeulblglrz .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
+       " #yeulblglrz .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
+       " #yeulblglrz .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
+       " #yeulblglrz .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
+       " #yeulblglrz .gt_spanner_row { border-bottom-style: hidden !important; }\n",
+       " #yeulblglrz .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
+       " #yeulblglrz .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
+       " #yeulblglrz .gt_from_md> :first-child { margin-top: 0 !important; }\n",
+       " #yeulblglrz .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
+       " #yeulblglrz .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
+       " #yeulblglrz .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
+       " #yeulblglrz .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
+       " #yeulblglrz .gt_row_group_first td { border-top-width: 2px !important; }\n",
+       " #yeulblglrz .gt_row_group_first th { border-top-width: 2px !important; }\n",
+       " #yeulblglrz .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #yeulblglrz .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #yeulblglrz .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
+       " #yeulblglrz .gt_left { text-align: left !important; }\n",
+       " #yeulblglrz .gt_center { text-align: center !important; }\n",
+       " #yeulblglrz .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
+       " #yeulblglrz .gt_font_normal { font-weight: normal !important; }\n",
+       " #yeulblglrz .gt_font_bold { font-weight: bold !important; }\n",
+       " #yeulblglrz .gt_font_italic { font-style: italic !important; }\n",
+       " #yeulblglrz .gt_super { font-size: 65% !important; }\n",
+       " #yeulblglrz .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
+       " #yeulblglrz .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
        " \n",
        "</style>\n",
        "<table class=\"gt_table\" data-quarto-disable-processing=\"false\" data-quarto-bootstrap=\"false\">\n",
@@ -1336,7 +1337,7 @@
        "│            ┆            ┆          ┆            ┆   ┆          ┆         ┆           ┆ 13420]}   │\n",
        "│ Approved   ┆ 69713      ┆ 0.0      ┆ 0.014631   ┆ … ┆ 1.0      ┆ 0.0     ┆ 1020      ┆ {[68693,  │\n",
        "│            ┆            ┆          ┆            ┆   ┆          ┆         ┆           ┆ 1020]}    │\n",
-       "└────────────┴────────────┴──────────┴────────────┴───┴──────────┴─────────┴───────────┴───────────┘, _body=<great_tables._gt_data.Body object at 0x71f13800ba10>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.stub: 2>, column_label='column', column_align='left', column_width=None), ColInfo(var='non_null_cnt', type=<ColInfoTypeEnum.default: 1>, column_label='non_null_cnt', column_align='center', column_width=None), ColInfo(var='null%', type=<ColInfoTypeEnum.default: 1>, column_label='null%', column_align='right', column_width=None), ColInfo(var='mean', type=<ColInfoTypeEnum.default: 1>, column_label='mean', column_align='right', column_width=None), ColInfo(var='std', type=<ColInfoTypeEnum.default: 1>, column_label='std', column_align='right', column_width=None), ColInfo(var='min', type=<ColInfoTypeEnum.default: 1>, column_label='min', column_align='right', column_width=None), ColInfo(var='q1', type=<ColInfoTypeEnum.default: 1>, column_label='q1', column_align='right', column_width=None), ColInfo(var='median', type=<ColInfoTypeEnum.default: 1>, column_label='median', column_align='right', column_width=None), ColInfo(var='q3', type=<ColInfoTypeEnum.default: 1>, column_label='q3', column_align='right', column_width=None), ColInfo(var='max', type=<ColInfoTypeEnum.default: 1>, column_label='max', column_align='right', column_width=None), ColInfo(var='IQR', type=<ColInfoTypeEnum.default: 1>, column_label='IQR', column_align='right', column_width=None), ColInfo(var='outlier_cnt', type=<ColInfoTypeEnum.default: 1>, column_label='outlier_cnt', column_align='center', column_width=None), ColInfo(var='histogram', type=<ColInfoTypeEnum.default: 1>, column_label='histogram', column_align='center', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x71f12c155490>, _spanners=Spanners([]), _heading=Heading(title=None, subtitle=None, preheader=None), _stubhead='column', _source_notes=[], _footnotes=[], _styles=[], 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+       "└────────────┴────────────┴──────────┴────────────┴───┴──────────┴─────────┴───────────┴───────────┘, _body=<great_tables._gt_data.Body object at 0x70b119770650>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.stub: 2>, column_label='column', column_align='left', column_width=None), ColInfo(var='non_null_cnt', type=<ColInfoTypeEnum.default: 1>, column_label='non_null_cnt', column_align='center', column_width=None), ColInfo(var='null%', type=<ColInfoTypeEnum.default: 1>, column_label='null%', column_align='right', column_width=None), ColInfo(var='mean', type=<ColInfoTypeEnum.default: 1>, column_label='mean', column_align='right', column_width=None), ColInfo(var='std', type=<ColInfoTypeEnum.default: 1>, column_label='std', column_align='right', column_width=None), ColInfo(var='min', type=<ColInfoTypeEnum.default: 1>, column_label='min', column_align='right', column_width=None), ColInfo(var='q1', type=<ColInfoTypeEnum.default: 1>, column_label='q1', 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row_group_border_left_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_left_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_as_column=OptionsInfo(scss=False, category='row_group', type='boolean', value=False), table_body_hlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_hlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_hlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), table_body_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_top_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_top_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_top_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_bottom_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_bottom_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_bottom_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), data_row_padding=OptionsInfo(scss=True, category='data_row', type='px', value='8px'), data_row_padding_horizontal=OptionsInfo(scss=True, category='data_row', type='px', value='5px'), stub_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), stub_row_group_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_row_group_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_row_group_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_row_group_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_row_group_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_row_group_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_row_group_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), source_notes_padding=OptionsInfo(scss=True, category='source_notes', type='px', value='4px'), source_notes_padding_horizontal=OptionsInfo(scss=True, category='source_notes', type='px', value='5px'), source_notes_background_color=OptionsInfo(scss=True, category='source_notes', type='value', value=None), source_notes_font_size=OptionsInfo(scss=True, category='source_notes', type='px', value='90%'), source_notes_border_bottom_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_bottom_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_bottom_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_border_lr_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_lr_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_lr_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_multiline=OptionsInfo(scss=False, category='source_notes', type='boolean', value=True), source_notes_sep=OptionsInfo(scss=False, category='source_notes', type='value', value=' '), container_width=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_height=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_padding_x=OptionsInfo(scss=False, category='container', type='px', value='0px'), container_padding_y=OptionsInfo(scss=False, category='container', type='px', value='10px'), container_overflow_x=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), container_overflow_y=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), quarto_disable_processing=OptionsInfo(scss=False, category='quarto', type='logical', value=False), quarto_use_bootstrap=OptionsInfo(scss=False, category='quarto', type='logical', value=False)), _has_built=False)"
       ]
      },
      "execution_count": 18,
@@ -1503,51 +1504,51 @@
     {
      "data": {
       "text/html": [
-       "<div id=\"swbgjvebyp\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
+       "<div id=\"ixvpnfbfqg\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
        "<style>\n",
-       "#swbgjvebyp table {\n",
+       "#ixvpnfbfqg table {\n",
        "          font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen, Ubuntu, Cantarell, 'Helvetica Neue', 'Fira Sans', 'Droid Sans', Arial, sans-serif;\n",
        "          -webkit-font-smoothing: antialiased;\n",
        "          -moz-osx-font-smoothing: grayscale;\n",
        "        }\n",
        "\n",
-       "#swbgjvebyp thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
+       "#ixvpnfbfqg thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
        " tr { background-color: transparent !important; }\n",
-       "#swbgjvebyp p { margin: 0 !important; padding: 0 !important; }\n",
-       " #swbgjvebyp .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
-       " #swbgjvebyp .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
-       " #swbgjvebyp .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
-       " #swbgjvebyp .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
-       " #swbgjvebyp .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #swbgjvebyp .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #swbgjvebyp .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #swbgjvebyp .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
-       " #swbgjvebyp .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
-       " #swbgjvebyp .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
-       " #swbgjvebyp .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
-       " #swbgjvebyp .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
-       " #swbgjvebyp .gt_spanner_row { border-bottom-style: hidden !important; }\n",
-       " #swbgjvebyp .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
-       " #swbgjvebyp .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
-       " #swbgjvebyp .gt_from_md> :first-child { margin-top: 0 !important; }\n",
-       " #swbgjvebyp .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
-       " #swbgjvebyp .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
-       " #swbgjvebyp .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
-       " #swbgjvebyp .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
-       " #swbgjvebyp .gt_row_group_first td { border-top-width: 2px !important; }\n",
-       " #swbgjvebyp .gt_row_group_first th { border-top-width: 2px !important; }\n",
-       " #swbgjvebyp .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #swbgjvebyp .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #swbgjvebyp .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
-       " #swbgjvebyp .gt_left { text-align: left !important; }\n",
-       " #swbgjvebyp .gt_center { text-align: center !important; }\n",
-       " #swbgjvebyp .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
-       " #swbgjvebyp .gt_font_normal { font-weight: normal !important; }\n",
-       " #swbgjvebyp .gt_font_bold { font-weight: bold !important; }\n",
-       " #swbgjvebyp .gt_font_italic { font-style: italic !important; }\n",
-       " #swbgjvebyp .gt_super { font-size: 65% !important; }\n",
-       " #swbgjvebyp .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
-       " #swbgjvebyp .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
+       "#ixvpnfbfqg p { margin: 0 !important; padding: 0 !important; }\n",
+       " #ixvpnfbfqg .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
+       " #ixvpnfbfqg .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
+       " #ixvpnfbfqg .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
+       " #ixvpnfbfqg .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
+       " #ixvpnfbfqg .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #ixvpnfbfqg .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #ixvpnfbfqg .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #ixvpnfbfqg .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
+       " #ixvpnfbfqg .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
+       " #ixvpnfbfqg .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
+       " #ixvpnfbfqg .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
+       " #ixvpnfbfqg .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
+       " #ixvpnfbfqg .gt_spanner_row { border-bottom-style: hidden !important; }\n",
+       " #ixvpnfbfqg .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
+       " #ixvpnfbfqg .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
+       " #ixvpnfbfqg .gt_from_md> :first-child { margin-top: 0 !important; }\n",
+       " #ixvpnfbfqg .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
+       " #ixvpnfbfqg .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
+       " #ixvpnfbfqg .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
+       " #ixvpnfbfqg .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
+       " #ixvpnfbfqg .gt_row_group_first td { border-top-width: 2px !important; }\n",
+       " #ixvpnfbfqg .gt_row_group_first th { border-top-width: 2px !important; }\n",
+       " #ixvpnfbfqg .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #ixvpnfbfqg .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #ixvpnfbfqg .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
+       " #ixvpnfbfqg .gt_left { text-align: left !important; }\n",
+       " #ixvpnfbfqg .gt_center { text-align: center !important; }\n",
+       " #ixvpnfbfqg .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
+       " #ixvpnfbfqg .gt_font_normal { font-weight: normal !important; }\n",
+       " #ixvpnfbfqg .gt_font_bold { font-weight: bold !important; }\n",
+       " #ixvpnfbfqg .gt_font_italic { font-style: italic !important; }\n",
+       " #ixvpnfbfqg .gt_super { font-size: 65% !important; }\n",
+       " #ixvpnfbfqg .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
+       " #ixvpnfbfqg .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
        " \n",
        "</style>\n",
        "<table class=\"gt_table\" data-quarto-disable-processing=\"false\" data-quarto-bootstrap=\"false\">\n",
@@ -1609,7 +1610,7 @@
        "│ come       ┆            ┆           ┆           ┆   ┆           ┆          ┆          ┆          │\n",
        "│ Existing_E ┆ -0.017074  ┆ 0.245826  ┆ 1.0       ┆ … ┆ -0.023001 ┆ 0.000813 ┆ 0.00662  ┆ 0.027821 │\n",
        "│ MI         ┆            ┆           ┆           ┆   ┆           ┆          ┆          ┆          │\n",
-       "└────────────┴────────────┴───────────┴───────────┴───┴───────────┴──────────┴──────────┴──────────┘, _body=<great_tables._gt_data.Body object at 0x71f12c5eeb10>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.default: 1>, column_label='column', column_align='left', column_width=None), ColInfo(var='Employer_Category2', type=<ColInfoTypeEnum.default: 1>, column_label='Employer_Category2', column_align='right', column_width=None), ColInfo(var='Monthly_Income', type=<ColInfoTypeEnum.default: 1>, column_label='Monthly_Income', column_align='right', column_width=None), ColInfo(var='Existing_EMI', type=<ColInfoTypeEnum.default: 1>, column_label='Existing_EMI', column_align='right', column_width=None), ColInfo(var='Loan_Amount', type=<ColInfoTypeEnum.default: 1>, column_label='Loan_Amount', column_align='right', column_width=None), ColInfo(var='Loan_Period', type=<ColInfoTypeEnum.default: 1>, column_label='Loan_Period', column_align='right', column_width=None), ColInfo(var='Interest_Rate', type=<ColInfoTypeEnum.default: 1>, column_label='Interest_Rate', column_align='right', column_width=None), ColInfo(var='EMI', type=<ColInfoTypeEnum.default: 1>, column_label='EMI', column_align='right', column_width=None), ColInfo(var='Var1', type=<ColInfoTypeEnum.default: 1>, column_label='Var1', column_align='right', column_width=None), ColInfo(var='Approved', type=<ColInfoTypeEnum.default: 1>, column_label='Approved', column_align='right', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x71f1503795b0>, _spanners=Spanners([]), _heading=Heading(title=None, subtitle=None, preheader=None), _stubhead=None, _source_notes=[], _footnotes=[], _styles=[StyleInfo(locname='data', locnum=5, grpname=None, colname='Employer_Category2', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#60027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Employer_Category2', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5e027b')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Monthly_Income', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#bd0237')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Monthly_Income', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#76026a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Existing_EMI', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#76026a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Existing_EMI', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#bd0237')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Loan_Amount', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#630277')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Loan_Amount', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#600279')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Loan_Period', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5f027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Loan_Period', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5f027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Interest_Rate', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5e027b')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Interest_Rate', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5d027c')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='EMI', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#630278')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='EMI', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#60027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Var1', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#620278')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Var1', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#60027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Approved', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#60027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Approved', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#620278')])], _locale=<great_tables._gt_data.Locale object at 0x71f12c5ef0b0>, _formats=[<great_tables._gt_data.FormatInfo object at 0x71f12c5ef770>], _substitutions=[], _options=Options(table_id=OptionsInfo(scss=False, category='table', type='value', value=None), table_caption=OptionsInfo(scss=False, category='table', type='value', value=None), table_width=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_layout=OptionsInfo(scss=True, category='table', type='value', value='fixed'), table_margin_left=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_margin_right=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_background_color=OptionsInfo(scss=True, category='table', type='value', 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value=False), quarto_use_bootstrap=OptionsInfo(scss=False, category='quarto', type='logical', value=False)), _has_built=False)"
+       "└────────────┴────────────┴───────────┴───────────┴───┴───────────┴──────────┴──────────┴──────────┘, _body=<great_tables._gt_data.Body object at 0x70b116d71610>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.default: 1>, column_label='column', column_align='left', column_width=None), ColInfo(var='Employer_Category2', type=<ColInfoTypeEnum.default: 1>, column_label='Employer_Category2', column_align='right', column_width=None), ColInfo(var='Monthly_Income', type=<ColInfoTypeEnum.default: 1>, column_label='Monthly_Income', column_align='right', column_width=None), ColInfo(var='Existing_EMI', type=<ColInfoTypeEnum.default: 1>, column_label='Existing_EMI', column_align='right', column_width=None), ColInfo(var='Loan_Amount', type=<ColInfoTypeEnum.default: 1>, column_label='Loan_Amount', column_align='right', column_width=None), ColInfo(var='Loan_Period', type=<ColInfoTypeEnum.default: 1>, column_label='Loan_Period', column_align='right', column_width=None), 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       ]
      },
      "execution_count": 22,
@@ -1629,51 +1630,51 @@
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+       "<div id=\"kyackpoxnq\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
        "<style>\n",
-       "#qjrksxtwwx table {\n",
+       "#kyackpoxnq table {\n",
        "          font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen, Ubuntu, Cantarell, 'Helvetica Neue', 'Fira Sans', 'Droid Sans', Arial, sans-serif;\n",
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        "          -moz-osx-font-smoothing: grayscale;\n",
        "        }\n",
        "\n",
-       "#qjrksxtwwx thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
+       "#kyackpoxnq thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
        " tr { background-color: transparent !important; }\n",
-       "#qjrksxtwwx p { margin: 0 !important; padding: 0 !important; }\n",
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-       " #qjrksxtwwx .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
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-       " #qjrksxtwwx .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
-       " #qjrksxtwwx .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
-       " #qjrksxtwwx .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
-       " #qjrksxtwwx .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
-       " #qjrksxtwwx .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
-       " #qjrksxtwwx .gt_spanner_row { border-bottom-style: hidden !important; }\n",
-       " #qjrksxtwwx .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
-       " #qjrksxtwwx .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
-       " #qjrksxtwwx .gt_from_md> :first-child { margin-top: 0 !important; }\n",
-       " #qjrksxtwwx .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
-       " #qjrksxtwwx .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
-       " #qjrksxtwwx .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
-       " #qjrksxtwwx .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
-       " #qjrksxtwwx .gt_row_group_first td { border-top-width: 2px !important; }\n",
-       " #qjrksxtwwx .gt_row_group_first th { border-top-width: 2px !important; }\n",
-       " #qjrksxtwwx .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #qjrksxtwwx .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #qjrksxtwwx .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
-       " #qjrksxtwwx .gt_left { text-align: left !important; }\n",
-       " #qjrksxtwwx .gt_center { text-align: center !important; }\n",
-       " #qjrksxtwwx .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
-       " #qjrksxtwwx .gt_font_normal { font-weight: normal !important; }\n",
-       " #qjrksxtwwx .gt_font_bold { font-weight: bold !important; }\n",
-       " #qjrksxtwwx .gt_font_italic { font-style: italic !important; }\n",
-       " #qjrksxtwwx .gt_super { font-size: 65% !important; }\n",
-       " #qjrksxtwwx .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
-       " #qjrksxtwwx .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
+       "#kyackpoxnq p { margin: 0 !important; padding: 0 !important; }\n",
+       " #kyackpoxnq .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
+       " #kyackpoxnq .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
+       " #kyackpoxnq .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
+       " #kyackpoxnq .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
+       " #kyackpoxnq .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #kyackpoxnq .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #kyackpoxnq .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #kyackpoxnq .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
+       " #kyackpoxnq .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
+       " #kyackpoxnq .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
+       " #kyackpoxnq .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
+       " #kyackpoxnq .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
+       " #kyackpoxnq .gt_spanner_row { border-bottom-style: hidden !important; }\n",
+       " #kyackpoxnq .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
+       " #kyackpoxnq .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
+       " #kyackpoxnq .gt_from_md> :first-child { margin-top: 0 !important; }\n",
+       " #kyackpoxnq .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
+       " #kyackpoxnq .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
+       " #kyackpoxnq .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
+       " #kyackpoxnq .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
+       " #kyackpoxnq .gt_row_group_first td { border-top-width: 2px !important; }\n",
+       " #kyackpoxnq .gt_row_group_first th { border-top-width: 2px !important; }\n",
+       " #kyackpoxnq .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #kyackpoxnq .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #kyackpoxnq .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
+       " #kyackpoxnq .gt_left { text-align: left !important; }\n",
+       " #kyackpoxnq .gt_center { text-align: center !important; }\n",
+       " #kyackpoxnq .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
+       " #kyackpoxnq .gt_font_normal { font-weight: normal !important; }\n",
+       " #kyackpoxnq .gt_font_bold { font-weight: bold !important; }\n",
+       " #kyackpoxnq .gt_font_italic { font-style: italic !important; }\n",
+       " #kyackpoxnq .gt_super { font-size: 65% !important; }\n",
+       " #kyackpoxnq .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
+       " #kyackpoxnq .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
        " \n",
        "</style>\n",
        "<table class=\"gt_table\" data-quarto-disable-processing=\"false\" data-quarto-bootstrap=\"false\">\n",
@@ -1735,7 +1736,7 @@
        "│ come       ┆            ┆           ┆           ┆   ┆           ┆          ┆          ┆          │\n",
        "│ Existing_E ┆ -0.017074  ┆ 0.245826  ┆ 1.0       ┆ … ┆ -0.023001 ┆ 0.000813 ┆ 0.00662  ┆ 0.027821 │\n",
        "│ MI         ┆            ┆           ┆           ┆   ┆           ┆          ┆          ┆          │\n",
-       "└────────────┴────────────┴───────────┴───────────┴───┴───────────┴──────────┴──────────┴──────────┘, _body=<great_tables._gt_data.Body object at 0x71f12c5eeff0>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.default: 1>, column_label='column', column_align='left', column_width=None), ColInfo(var='Employer_Category2', type=<ColInfoTypeEnum.default: 1>, column_label='Employer_Category2', column_align='right', column_width=None), ColInfo(var='Monthly_Income', type=<ColInfoTypeEnum.default: 1>, column_label='Monthly_Income', column_align='right', column_width=None), ColInfo(var='Existing_EMI', type=<ColInfoTypeEnum.default: 1>, column_label='Existing_EMI', column_align='right', column_width=None), ColInfo(var='Loan_Amount', type=<ColInfoTypeEnum.default: 1>, column_label='Loan_Amount', column_align='right', column_width=None), ColInfo(var='Loan_Period', type=<ColInfoTypeEnum.default: 1>, column_label='Loan_Period', column_align='right', column_width=None), ColInfo(var='Interest_Rate', type=<ColInfoTypeEnum.default: 1>, column_label='Interest_Rate', column_align='right', column_width=None), ColInfo(var='EMI', type=<ColInfoTypeEnum.default: 1>, column_label='EMI', column_align='right', column_width=None), ColInfo(var='Var1', type=<ColInfoTypeEnum.default: 1>, column_label='Var1', column_align='right', column_width=None), ColInfo(var='Approved', type=<ColInfoTypeEnum.default: 1>, column_label='Approved', column_align='right', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x71f145d0d700>, _spanners=Spanners([]), _heading=Heading(title=None, subtitle=None, preheader=None), _stubhead=None, _source_notes=[], _footnotes=[], _styles=[StyleInfo(locname='data', locnum=5, grpname=None, colname='Employer_Category2', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#60027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Employer_Category2', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5e027b')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Monthly_Income', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#bd0237')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Monthly_Income', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#76026a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Existing_EMI', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#76026a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Existing_EMI', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#bd0237')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Loan_Amount', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#630277')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Loan_Amount', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#600279')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Loan_Period', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5f027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Loan_Period', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5f027a')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Interest_Rate', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5e027b')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='Interest_Rate', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#5d027c')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='EMI', rownum=0, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#630278')]), StyleInfo(locname='data', locnum=5, grpname=None, colname='EMI', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, 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colname='Approved', rownum=1, colnum=None, styles=[CellStyleText(color='#FFFFFF', font=None, size=None, align=None, v_align=None, style=None, weight=None, stretch=None, decorate=None, transform=None, whitespace=None), CellStyleFill(color='#620278')])], _locale=<great_tables._gt_data.Locale object at 0x71f12c157740>, _formats=[<great_tables._gt_data.FormatInfo object at 0x71f12c155100>], _substitutions=[], _options=Options(table_id=OptionsInfo(scss=False, category='table', type='value', value=None), table_caption=OptionsInfo(scss=False, category='table', type='value', value=None), table_width=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_layout=OptionsInfo(scss=True, category='table', type='value', value='fixed'), table_margin_left=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_margin_right=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_background_color=OptionsInfo(scss=True, category='table', type='value', 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value='2px'), heading_border_bottom_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), heading_border_lr_style=OptionsInfo(scss=True, category='heading', type='value', value='none'), heading_border_lr_width=OptionsInfo(scss=True, category='heading', type='px', value='1px'), heading_border_lr_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), column_labels_background_color=OptionsInfo(scss=True, category='column_labels', type='value', value=None), column_labels_font_size=OptionsInfo(scss=True, category='column_labels', type='px', value='100%'), column_labels_font_weight=OptionsInfo(scss=True, category='column_labels', type='value', value='normal'), column_labels_text_transform=OptionsInfo(scss=True, category='column_labels', type='value', value='inherit'), column_labels_padding=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_padding_horizontal=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), column_labels_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), column_labels_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), column_labels_border_top_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_top_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_top_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_bottom_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_bottom_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_bottom_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_lr_style=OptionsInfo(scss=True, category='column_labels', type='value', value='none'), column_labels_border_lr_width=OptionsInfo(scss=True, category='column_labels', type='px', value='1px'), column_labels_border_lr_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_hidden=OptionsInfo(scss=False, category='column_labels', type='boolean', value=False), row_group_background_color=OptionsInfo(scss=True, category='row_group', type='value', value=None), row_group_font_size=OptionsInfo(scss=True, category='row_group', type='px', value='100%'), row_group_font_weight=OptionsInfo(scss=True, category='row_group', type='value', value='initial'), row_group_text_transform=OptionsInfo(scss=True, category='row_group', type='value', value='inherit'), row_group_padding=OptionsInfo(scss=True, category='row_group', type='px', value='8px'), row_group_padding_horizontal=OptionsInfo(scss=True, category='row_group', type='px', value='5px'), row_group_border_top_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_top_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_top_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_right_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_right_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_right_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_bottom_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_bottom_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_bottom_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_left_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_left_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_left_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_as_column=OptionsInfo(scss=False, category='row_group', type='boolean', value=False), table_body_hlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_hlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_hlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), table_body_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_top_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_top_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_top_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_bottom_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_bottom_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_bottom_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), data_row_padding=OptionsInfo(scss=True, category='data_row', type='px', value='8px'), data_row_padding_horizontal=OptionsInfo(scss=True, category='data_row', type='px', value='5px'), stub_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), stub_row_group_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_row_group_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_row_group_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_row_group_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_row_group_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_row_group_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_row_group_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), source_notes_padding=OptionsInfo(scss=True, category='source_notes', type='px', value='4px'), source_notes_padding_horizontal=OptionsInfo(scss=True, category='source_notes', type='px', value='5px'), source_notes_background_color=OptionsInfo(scss=True, category='source_notes', type='value', value=None), source_notes_font_size=OptionsInfo(scss=True, category='source_notes', type='px', value='90%'), source_notes_border_bottom_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_bottom_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_bottom_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_border_lr_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_lr_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_lr_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_multiline=OptionsInfo(scss=False, category='source_notes', type='boolean', value=True), source_notes_sep=OptionsInfo(scss=False, category='source_notes', type='value', value=' '), container_width=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_height=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_padding_x=OptionsInfo(scss=False, category='container', type='px', value='0px'), container_padding_y=OptionsInfo(scss=False, category='container', type='px', value='10px'), container_overflow_x=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), container_overflow_y=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), quarto_disable_processing=OptionsInfo(scss=False, category='quarto', type='logical', value=False), quarto_use_bootstrap=OptionsInfo(scss=False, category='quarto', type='logical', value=False)), _has_built=False)"
       ]
      },
      "execution_count": 23,
@@ -1755,51 +1756,51 @@
     {
      "data": {
       "text/html": [
-       "<div id=\"xohdewkklh\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
+       "<div id=\"cpqhqmxlhr\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
        "<style>\n",
-       "#xohdewkklh table {\n",
+       "#cpqhqmxlhr table {\n",
        "          font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen, Ubuntu, Cantarell, 'Helvetica Neue', 'Fira Sans', 'Droid Sans', Arial, sans-serif;\n",
        "          -webkit-font-smoothing: antialiased;\n",
        "          -moz-osx-font-smoothing: grayscale;\n",
        "        }\n",
        "\n",
-       "#xohdewkklh thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
+       "#cpqhqmxlhr thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
        " tr { background-color: transparent !important; }\n",
-       "#xohdewkklh p { margin: 0 !important; padding: 0 !important; }\n",
-       " #xohdewkklh .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
-       " #xohdewkklh .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
-       " #xohdewkklh .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
-       " #xohdewkklh .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
-       " #xohdewkklh .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #xohdewkklh .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #xohdewkklh .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #xohdewkklh .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
-       " #xohdewkklh .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
-       " #xohdewkklh .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
-       " #xohdewkklh .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
-       " #xohdewkklh .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
-       " #xohdewkklh .gt_spanner_row { border-bottom-style: hidden !important; }\n",
-       " #xohdewkklh .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
-       " #xohdewkklh .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
-       " #xohdewkklh .gt_from_md> :first-child { margin-top: 0 !important; }\n",
-       " #xohdewkklh .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
-       " #xohdewkklh .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
-       " #xohdewkklh .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
-       " #xohdewkklh .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
-       " #xohdewkklh .gt_row_group_first td { border-top-width: 2px !important; }\n",
-       " #xohdewkklh .gt_row_group_first th { border-top-width: 2px !important; }\n",
-       " #xohdewkklh .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #xohdewkklh .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #xohdewkklh .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
-       " #xohdewkklh .gt_left { text-align: left !important; }\n",
-       " #xohdewkklh .gt_center { text-align: center !important; }\n",
-       " #xohdewkklh .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
-       " #xohdewkklh .gt_font_normal { font-weight: normal !important; }\n",
-       " #xohdewkklh .gt_font_bold { font-weight: bold !important; }\n",
-       " #xohdewkklh .gt_font_italic { font-style: italic !important; }\n",
-       " #xohdewkklh .gt_super { font-size: 65% !important; }\n",
-       " #xohdewkklh .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
-       " #xohdewkklh .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
+       "#cpqhqmxlhr p { margin: 0 !important; padding: 0 !important; }\n",
+       " #cpqhqmxlhr .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
+       " #cpqhqmxlhr .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
+       " #cpqhqmxlhr .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
+       " #cpqhqmxlhr .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
+       " #cpqhqmxlhr .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #cpqhqmxlhr .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #cpqhqmxlhr .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #cpqhqmxlhr .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
+       " #cpqhqmxlhr .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
+       " #cpqhqmxlhr .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
+       " #cpqhqmxlhr .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
+       " #cpqhqmxlhr .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
+       " #cpqhqmxlhr .gt_spanner_row { border-bottom-style: hidden !important; }\n",
+       " #cpqhqmxlhr .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
+       " #cpqhqmxlhr .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
+       " #cpqhqmxlhr .gt_from_md> :first-child { margin-top: 0 !important; }\n",
+       " #cpqhqmxlhr .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
+       " #cpqhqmxlhr .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
+       " #cpqhqmxlhr .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
+       " #cpqhqmxlhr .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
+       " #cpqhqmxlhr .gt_row_group_first td { border-top-width: 2px !important; }\n",
+       " #cpqhqmxlhr .gt_row_group_first th { border-top-width: 2px !important; }\n",
+       " #cpqhqmxlhr .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #cpqhqmxlhr .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #cpqhqmxlhr .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
+       " #cpqhqmxlhr .gt_left { text-align: left !important; }\n",
+       " #cpqhqmxlhr .gt_center { text-align: center !important; }\n",
+       " #cpqhqmxlhr .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
+       " #cpqhqmxlhr .gt_font_normal { font-weight: normal !important; }\n",
+       " #cpqhqmxlhr .gt_font_bold { font-weight: bold !important; }\n",
+       " #cpqhqmxlhr .gt_font_italic { font-style: italic !important; }\n",
+       " #cpqhqmxlhr .gt_super { font-size: 65% !important; }\n",
+       " #cpqhqmxlhr .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
+       " #cpqhqmxlhr .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
        " \n",
        "</style>\n",
        "<table class=\"gt_table\" data-quarto-disable-processing=\"false\" data-quarto-bootstrap=\"false\">\n",
@@ -1893,7 +1894,7 @@
        "│ EMI                ┆ {[0.9892, 0.8522, … 0.645237]} ┆ 0.680461 ┆ 69713 │\n",
        "│ Var1               ┆ {[0.0, 0.0, … 0.0]}            ┆ 0.0      ┆ 69713 │\n",
        "│ Approved           ┆ {[0.0, 0.0, … 0.0]}            ┆ 0.0      ┆ 69713 │\n",
-       "└────────────────────┴────────────────────────────────┴──────────┴───────┘, _body=<great_tables._gt_data.Body object at 0x71f12c18ddf0>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.stub: 2>, column_label='column', column_align='left', column_width=None), ColInfo(var='percentages in row groups', type=<ColInfoTypeEnum.default: 1>, column_label='percentages in row groups', column_align='center', column_width=None), ColInfo(var='null%', type=<ColInfoTypeEnum.default: 1>, column_label='null%', column_align='right', column_width=None), ColInfo(var='total', type=<ColInfoTypeEnum.default: 1>, column_label='total', column_align='right', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x71f12c5ee6c0>, _spanners=Spanners([]), _heading=Heading(title='Null Distribution', subtitle=None, preheader=None), _stubhead='column', _source_notes=[], _footnotes=[], _styles=[], _locale=<great_tables._gt_data.Locale object at 0x71f12c18deb0>, _formats=[<great_tables._gt_data.FormatInfo object at 0x71f12c18e570>, <great_tables._gt_data.FormatInfo object at 0x71f12c18e360>, <great_tables._gt_data.FormatInfo object at 0x71f12c18e210>], _substitutions=[], _options=Options(table_id=OptionsInfo(scss=False, category='table', type='value', value=None), table_caption=OptionsInfo(scss=False, category='table', type='value', value=None), table_width=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_layout=OptionsInfo(scss=True, category='table', type='value', value='fixed'), table_margin_left=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_margin_right=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_background_color=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_font_names=OptionsInfo(scss=False, category='table', type='values', value=['-apple-system', 'BlinkMacSystemFont', 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Helvetica Neue', 'Fira Sans', 'Droid Sans', 'Arial', 'sans-serif']), table_font_size=OptionsInfo(scss=True, category='table', type='px', value='16px'), table_font_weight=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_style=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_color=OptionsInfo(scss=True, category='table', type='value', value='#333333'), table_font_color_light=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_border_top_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_top_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_top_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_top_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_right_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_right_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_right_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), table_border_bottom_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_bottom_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_bottom_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_bottom_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_left_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_left_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_left_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), heading_background_color=OptionsInfo(scss=True, category='heading', type='value', value=None), heading_align=OptionsInfo(scss=True, category='heading', type='value', value='center'), heading_title_font_size=OptionsInfo(scss=True, category='heading', type='px', value='125%'), heading_title_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_subtitle_font_size=OptionsInfo(scss=True, category='heading', type='px', value='85%'), heading_subtitle_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_padding=OptionsInfo(scss=True, category='heading', type='px', value='4px'), heading_padding_horizontal=OptionsInfo(scss=True, category='heading', type='px', value='5px'), heading_border_bottom_style=OptionsInfo(scss=True, category='heading', type='value', value='solid'), heading_border_bottom_width=OptionsInfo(scss=True, category='heading', type='px', value='2px'), heading_border_bottom_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), heading_border_lr_style=OptionsInfo(scss=True, category='heading', type='value', value='none'), heading_border_lr_width=OptionsInfo(scss=True, category='heading', type='px', value='1px'), heading_border_lr_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), column_labels_background_color=OptionsInfo(scss=True, category='column_labels', type='value', value=None), column_labels_font_size=OptionsInfo(scss=True, category='column_labels', type='px', value='100%'), column_labels_font_weight=OptionsInfo(scss=True, category='column_labels', type='value', value='normal'), column_labels_text_transform=OptionsInfo(scss=True, category='column_labels', type='value', value='inherit'), column_labels_padding=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_padding_horizontal=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), column_labels_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), column_labels_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), column_labels_border_top_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_top_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_top_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_bottom_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_bottom_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_bottom_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_lr_style=OptionsInfo(scss=True, category='column_labels', type='value', value='none'), column_labels_border_lr_width=OptionsInfo(scss=True, category='column_labels', type='px', value='1px'), column_labels_border_lr_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_hidden=OptionsInfo(scss=False, category='column_labels', type='boolean', value=False), row_group_background_color=OptionsInfo(scss=True, category='row_group', type='value', value=None), row_group_font_size=OptionsInfo(scss=True, category='row_group', type='px', value='100%'), row_group_font_weight=OptionsInfo(scss=True, category='row_group', type='value', value='initial'), row_group_text_transform=OptionsInfo(scss=True, category='row_group', type='value', value='inherit'), row_group_padding=OptionsInfo(scss=True, category='row_group', type='px', value='8px'), row_group_padding_horizontal=OptionsInfo(scss=True, category='row_group', type='px', value='5px'), row_group_border_top_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_top_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_top_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_right_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_right_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_right_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_bottom_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_bottom_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_bottom_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_left_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_left_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_left_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_as_column=OptionsInfo(scss=False, category='row_group', type='boolean', value=False), table_body_hlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_hlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_hlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), table_body_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_top_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_top_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_top_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_bottom_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_bottom_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_bottom_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), data_row_padding=OptionsInfo(scss=True, category='data_row', type='px', value='8px'), data_row_padding_horizontal=OptionsInfo(scss=True, category='data_row', type='px', value='5px'), stub_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), stub_row_group_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_row_group_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_row_group_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_row_group_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_row_group_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_row_group_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_row_group_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), source_notes_padding=OptionsInfo(scss=True, category='source_notes', type='px', value='4px'), source_notes_padding_horizontal=OptionsInfo(scss=True, category='source_notes', type='px', value='5px'), source_notes_background_color=OptionsInfo(scss=True, category='source_notes', type='value', value=None), source_notes_font_size=OptionsInfo(scss=True, category='source_notes', type='px', value='90%'), source_notes_border_bottom_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_bottom_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_bottom_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_border_lr_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_lr_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_lr_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_multiline=OptionsInfo(scss=False, category='source_notes', type='boolean', value=True), source_notes_sep=OptionsInfo(scss=False, category='source_notes', type='value', value=' '), container_width=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_height=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_padding_x=OptionsInfo(scss=False, category='container', type='px', value='0px'), container_padding_y=OptionsInfo(scss=False, category='container', type='px', value='10px'), container_overflow_x=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), container_overflow_y=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), quarto_disable_processing=OptionsInfo(scss=False, category='quarto', type='logical', value=False), quarto_use_bootstrap=OptionsInfo(scss=False, category='quarto', type='logical', value=False)), _has_built=False)"
+       "└────────────────────┴────────────────────────────────┴──────────┴───────┘, _body=<great_tables._gt_data.Body object at 0x70b116da5eb0>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.stub: 2>, column_label='column', column_align='left', column_width=None), ColInfo(var='percentages in row groups', type=<ColInfoTypeEnum.default: 1>, column_label='percentages in row groups', column_align='center', column_width=None), ColInfo(var='null%', type=<ColInfoTypeEnum.default: 1>, column_label='null%', column_align='right', column_width=None), ColInfo(var='total', type=<ColInfoTypeEnum.default: 1>, column_label='total', column_align='right', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x70b116d0fbf0>, _spanners=Spanners([]), _heading=Heading(title='Null Distribution', subtitle=None, preheader=None), _stubhead='column', _source_notes=[], _footnotes=[], _styles=[], _locale=<great_tables._gt_data.Locale object at 0x70b116da6360>, _formats=[<great_tables._gt_data.FormatInfo object at 0x70b116d73f80>, <great_tables._gt_data.FormatInfo object at 0x70b116da6d80>, <great_tables._gt_data.FormatInfo object at 0x70b116da6cf0>], _substitutions=[], _options=Options(table_id=OptionsInfo(scss=False, category='table', type='value', value=None), table_caption=OptionsInfo(scss=False, category='table', type='value', value=None), table_width=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_layout=OptionsInfo(scss=True, category='table', type='value', value='fixed'), table_margin_left=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_margin_right=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_background_color=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_font_names=OptionsInfo(scss=False, category='table', type='values', value=['-apple-system', 'BlinkMacSystemFont', 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Helvetica Neue', 'Fira Sans', 'Droid Sans', 'Arial', 'sans-serif']), table_font_size=OptionsInfo(scss=True, category='table', type='px', value='16px'), table_font_weight=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_style=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_color=OptionsInfo(scss=True, category='table', type='value', value='#333333'), table_font_color_light=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_border_top_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_top_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_top_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_top_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_right_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_right_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_right_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), table_border_bottom_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_bottom_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_bottom_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_bottom_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_left_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_left_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_left_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), heading_background_color=OptionsInfo(scss=True, category='heading', type='value', value=None), heading_align=OptionsInfo(scss=True, category='heading', type='value', value='center'), heading_title_font_size=OptionsInfo(scss=True, category='heading', type='px', value='125%'), heading_title_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_subtitle_font_size=OptionsInfo(scss=True, category='heading', type='px', value='85%'), heading_subtitle_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_padding=OptionsInfo(scss=True, category='heading', type='px', value='4px'), heading_padding_horizontal=OptionsInfo(scss=True, category='heading', type='px', value='5px'), heading_border_bottom_style=OptionsInfo(scss=True, category='heading', type='value', value='solid'), heading_border_bottom_width=OptionsInfo(scss=True, category='heading', type='px', value='2px'), heading_border_bottom_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), heading_border_lr_style=OptionsInfo(scss=True, category='heading', type='value', value='none'), heading_border_lr_width=OptionsInfo(scss=True, category='heading', type='px', value='1px'), heading_border_lr_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), column_labels_background_color=OptionsInfo(scss=True, category='column_labels', type='value', value=None), column_labels_font_size=OptionsInfo(scss=True, category='column_labels', type='px', value='100%'), column_labels_font_weight=OptionsInfo(scss=True, category='column_labels', type='value', value='normal'), column_labels_text_transform=OptionsInfo(scss=True, category='column_labels', type='value', value='inherit'), column_labels_padding=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_padding_horizontal=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), column_labels_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), column_labels_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), column_labels_border_top_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_top_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_top_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_bottom_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_bottom_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_bottom_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_lr_style=OptionsInfo(scss=True, category='column_labels', type='value', value='none'), column_labels_border_lr_width=OptionsInfo(scss=True, category='column_labels', type='px', value='1px'), column_labels_border_lr_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_hidden=OptionsInfo(scss=False, category='column_labels', type='boolean', value=False), row_group_background_color=OptionsInfo(scss=True, category='row_group', type='value', value=None), row_group_font_size=OptionsInfo(scss=True, category='row_group', type='px', value='100%'), row_group_font_weight=OptionsInfo(scss=True, category='row_group', type='value', value='initial'), row_group_text_transform=OptionsInfo(scss=True, category='row_group', type='value', value='inherit'), row_group_padding=OptionsInfo(scss=True, category='row_group', type='px', value='8px'), row_group_padding_horizontal=OptionsInfo(scss=True, category='row_group', type='px', value='5px'), row_group_border_top_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_top_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_top_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_right_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_right_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_right_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_bottom_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_bottom_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_bottom_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_left_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_left_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_left_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_as_column=OptionsInfo(scss=False, category='row_group', type='boolean', value=False), table_body_hlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_hlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_hlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), table_body_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_top_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_top_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_top_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_bottom_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_bottom_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_bottom_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), data_row_padding=OptionsInfo(scss=True, category='data_row', type='px', value='8px'), data_row_padding_horizontal=OptionsInfo(scss=True, category='data_row', type='px', value='5px'), stub_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), stub_row_group_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_row_group_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_row_group_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_row_group_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_row_group_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_row_group_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_row_group_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), source_notes_padding=OptionsInfo(scss=True, category='source_notes', type='px', value='4px'), source_notes_padding_horizontal=OptionsInfo(scss=True, category='source_notes', type='px', value='5px'), source_notes_background_color=OptionsInfo(scss=True, category='source_notes', type='value', value=None), source_notes_font_size=OptionsInfo(scss=True, category='source_notes', type='px', value='90%'), source_notes_border_bottom_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_bottom_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_bottom_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_border_lr_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_lr_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_lr_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_multiline=OptionsInfo(scss=False, category='source_notes', type='boolean', value=True), source_notes_sep=OptionsInfo(scss=False, category='source_notes', type='value', value=' '), container_width=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_height=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_padding_x=OptionsInfo(scss=False, category='container', type='px', value='0px'), container_padding_y=OptionsInfo(scss=False, category='container', type='px', value='10px'), container_overflow_x=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), container_overflow_y=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), quarto_disable_processing=OptionsInfo(scss=False, category='quarto', type='logical', value=False), quarto_use_bootstrap=OptionsInfo(scss=False, category='quarto', type='logical', value=False)), _has_built=False)"
       ]
      },
      "execution_count": 24,
@@ -1926,51 +1927,51 @@
     {
      "data": {
       "text/html": [
-       "<div id=\"bzxkodmebq\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
+       "<div id=\"nvicemunpn\" style=\"padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;\">\n",
        "<style>\n",
-       "#bzxkodmebq table {\n",
+       "#nvicemunpn table {\n",
        "          font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen, Ubuntu, Cantarell, 'Helvetica Neue', 'Fira Sans', 'Droid Sans', Arial, sans-serif;\n",
        "          -webkit-font-smoothing: antialiased;\n",
        "          -moz-osx-font-smoothing: grayscale;\n",
        "        }\n",
        "\n",
-       "#bzxkodmebq thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
+       "#nvicemunpn thead, tbody, tfoot, tr, td, th { border-style: none !important; }\n",
        " tr { background-color: transparent !important; }\n",
-       "#bzxkodmebq p { margin: 0 !important; padding: 0 !important; }\n",
-       " #bzxkodmebq .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
-       " #bzxkodmebq .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
-       " #bzxkodmebq .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
-       " #bzxkodmebq .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
-       " #bzxkodmebq .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #bzxkodmebq .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #bzxkodmebq .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #bzxkodmebq .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
-       " #bzxkodmebq .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
-       " #bzxkodmebq .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
-       " #bzxkodmebq .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
-       " #bzxkodmebq .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
-       " #bzxkodmebq .gt_spanner_row { border-bottom-style: hidden !important; }\n",
-       " #bzxkodmebq .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
-       " #bzxkodmebq .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
-       " #bzxkodmebq .gt_from_md> :first-child { margin-top: 0 !important; }\n",
-       " #bzxkodmebq .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
-       " #bzxkodmebq .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
-       " #bzxkodmebq .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
-       " #bzxkodmebq .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
-       " #bzxkodmebq .gt_row_group_first td { border-top-width: 2px !important; }\n",
-       " #bzxkodmebq .gt_row_group_first th { border-top-width: 2px !important; }\n",
-       " #bzxkodmebq .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
-       " #bzxkodmebq .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
-       " #bzxkodmebq .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
-       " #bzxkodmebq .gt_left { text-align: left !important; }\n",
-       " #bzxkodmebq .gt_center { text-align: center !important; }\n",
-       " #bzxkodmebq .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
-       " #bzxkodmebq .gt_font_normal { font-weight: normal !important; }\n",
-       " #bzxkodmebq .gt_font_bold { font-weight: bold !important; }\n",
-       " #bzxkodmebq .gt_font_italic { font-style: italic !important; }\n",
-       " #bzxkodmebq .gt_super { font-size: 65% !important; }\n",
-       " #bzxkodmebq .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
-       " #bzxkodmebq .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
+       "#nvicemunpn p { margin: 0 !important; padding: 0 !important; }\n",
+       " #nvicemunpn .gt_table { display: table !important; border-collapse: collapse !important; line-height: normal !important; margin-left: auto !important; margin-right: auto !important; color: #333333 !important; font-size: 16px !important; font-weight: normal !important; font-style: normal !important; background-color: #FFFFFF !important; width: auto !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #A8A8A8 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #A8A8A8 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; }\n",
+       " #nvicemunpn .gt_caption { padding-top: 4px !important; padding-bottom: 4px !important; }\n",
+       " #nvicemunpn .gt_title { color: #333333 !important; font-size: 125% !important; font-weight: initial !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; border-bottom-color: #FFFFFF !important; border-bottom-width: 0 !important; }\n",
+       " #nvicemunpn .gt_subtitle { color: #333333 !important; font-size: 85% !important; font-weight: initial !important; padding-top: 3px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; border-top-color: #FFFFFF !important; border-top-width: 0 !important; }\n",
+       " #nvicemunpn .gt_heading { background-color: #FFFFFF !important; text-align: center !important; border-bottom-color: #FFFFFF !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #nvicemunpn .gt_bottom_border { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #nvicemunpn .gt_col_headings { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #nvicemunpn .gt_col_heading { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; padding-left: 5px !important; padding-right: 5px !important; overflow-x: hidden !important; }\n",
+       " #nvicemunpn .gt_column_spanner_outer { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: normal !important; text-transform: inherit !important; padding-top: 0 !important; padding-bottom: 0 !important; padding-left: 4px !important; padding-right: 4px !important; }\n",
+       " #nvicemunpn .gt_column_spanner_outer:first-child { padding-left: 0 !important; }\n",
+       " #nvicemunpn .gt_column_spanner_outer:last-child { padding-right: 0 !important; }\n",
+       " #nvicemunpn .gt_column_spanner { border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: bottom !important; padding-top: 5px !important; padding-bottom: 5px !important; overflow-x: hidden !important; display: inline-block !important; width: 100% !important; }\n",
+       " #nvicemunpn .gt_spanner_row { border-bottom-style: hidden !important; }\n",
+       " #nvicemunpn .gt_group_heading { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; text-align: left !important; }\n",
+       " #nvicemunpn .gt_empty_group_heading { padding: 0.5px !important; color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; vertical-align: middle !important; }\n",
+       " #nvicemunpn .gt_from_md> :first-child { margin-top: 0 !important; }\n",
+       " #nvicemunpn .gt_from_md> :last-child { margin-bottom: 0 !important; }\n",
+       " #nvicemunpn .gt_row { padding-top: 8px !important; padding-bottom: 8px !important; padding-left: 5px !important; padding-right: 5px !important; margin: 10px !important; border-top-style: solid !important; border-top-width: 1px !important; border-top-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 1px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 1px !important; border-right-color: #D3D3D3 !important; vertical-align: middle !important; overflow-x: hidden !important; }\n",
+       " #nvicemunpn .gt_stub { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; }\n",
+       " #nvicemunpn .gt_stub_row_group { color: #333333 !important; background-color: #FFFFFF !important; font-size: 100% !important; font-weight: initial !important; text-transform: inherit !important; border-right-style: solid !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; padding-left: 5px !important; padding-right: 5px !important; vertical-align: top !important; }\n",
+       " #nvicemunpn .gt_row_group_first td { border-top-width: 2px !important; }\n",
+       " #nvicemunpn .gt_row_group_first th { border-top-width: 2px !important; }\n",
+       " #nvicemunpn .gt_table_body { border-top-style: solid !important; border-top-width: 2px !important; border-top-color: #D3D3D3 !important; border-bottom-style: solid !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; }\n",
+       " #nvicemunpn .gt_sourcenotes { color: #333333 !important; background-color: #FFFFFF !important; border-bottom-style: none !important; border-bottom-width: 2px !important; border-bottom-color: #D3D3D3 !important; border-left-style: none !important; border-left-width: 2px !important; border-left-color: #D3D3D3 !important; border-right-style: none !important; border-right-width: 2px !important; border-right-color: #D3D3D3 !important; }\n",
+       " #nvicemunpn .gt_sourcenote { font-size: 90% !important; padding-top: 4px !important; padding-bottom: 4px !important; padding-left: 5px !important; padding-right: 5px !important; text-align: left !important; }\n",
+       " #nvicemunpn .gt_left { text-align: left !important; }\n",
+       " #nvicemunpn .gt_center { text-align: center !important; }\n",
+       " #nvicemunpn .gt_right { text-align: right !important; font-variant-numeric: tabular-nums !important; }\n",
+       " #nvicemunpn .gt_font_normal { font-weight: normal !important; }\n",
+       " #nvicemunpn .gt_font_bold { font-weight: bold !important; }\n",
+       " #nvicemunpn .gt_font_italic { font-style: italic !important; }\n",
+       " #nvicemunpn .gt_super { font-size: 65% !important; }\n",
+       " #nvicemunpn .gt_footnote_marks { font-size: 75% !important; vertical-align: 0.4em !important; position: initial !important; }\n",
+       " #nvicemunpn .gt_asterisk { font-size: 100% !important; vertical-align: 0 !important; }\n",
        " \n",
        "</style>\n",
        "<table class=\"gt_table\" data-quarto-disable-processing=\"false\" data-quarto-bootstrap=\"false\">\n",
@@ -2064,7 +2065,7 @@
        "│ EMI                ┆ {[0.678, 0.669, … 0.731527]} ┆ 0.690326 ┆ 29812 │\n",
        "│ Var1               ┆ {[0.0, 0.0, … 0.0]}          ┆ 0.0      ┆ 29812 │\n",
        "│ Approved           ┆ {[0.0, 0.0, … 0.0]}          ┆ 0.0      ┆ 29812 │\n",
-       "└────────────────────┴──────────────────────────────┴──────────┴───────┘, _body=<great_tables._gt_data.Body object at 0x71f12c18e540>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.stub: 2>, column_label='column', column_align='left', column_width=None), ColInfo(var='percentages in row groups', type=<ColInfoTypeEnum.default: 1>, column_label='percentages in row groups', column_align='center', column_width=None), ColInfo(var='null%', type=<ColInfoTypeEnum.default: 1>, column_label='null%', column_align='right', column_width=None), ColInfo(var='total', type=<ColInfoTypeEnum.default: 1>, column_label='total', column_align='right', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x71f12c157ef0>, _spanners=Spanners([]), _heading=Heading(title='Null Distribution', subtitle=None, preheader=None), _stubhead='column', _source_notes=[], _footnotes=[], _styles=[], _locale=<great_tables._gt_data.Locale object at 0x71f12c18ec00>, _formats=[<great_tables._gt_data.FormatInfo object at 0x71f12c1579e0>, <great_tables._gt_data.FormatInfo object at 0x71f12c18d460>, <great_tables._gt_data.FormatInfo object at 0x71f150378a40>], _substitutions=[], _options=Options(table_id=OptionsInfo(scss=False, category='table', type='value', value=None), table_caption=OptionsInfo(scss=False, category='table', type='value', value=None), table_width=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_layout=OptionsInfo(scss=True, category='table', type='value', value='fixed'), table_margin_left=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_margin_right=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_background_color=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_font_names=OptionsInfo(scss=False, category='table', type='values', value=['-apple-system', 'BlinkMacSystemFont', 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Helvetica Neue', 'Fira Sans', 'Droid Sans', 'Arial', 'sans-serif']), table_font_size=OptionsInfo(scss=True, category='table', type='px', value='16px'), table_font_weight=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_style=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_color=OptionsInfo(scss=True, category='table', type='value', value='#333333'), table_font_color_light=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_border_top_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_top_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_top_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_top_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_right_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_right_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_right_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), table_border_bottom_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_bottom_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_bottom_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_bottom_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_left_style=OptionsInfo(scss=True, category='table', type='value', value='none'), table_border_left_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_left_color=OptionsInfo(scss=True, category='table', type='value', value='#D3D3D3'), heading_background_color=OptionsInfo(scss=True, category='heading', type='value', value=None), heading_align=OptionsInfo(scss=True, category='heading', type='value', value='center'), heading_title_font_size=OptionsInfo(scss=True, category='heading', type='px', value='125%'), heading_title_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_subtitle_font_size=OptionsInfo(scss=True, category='heading', type='px', value='85%'), heading_subtitle_font_weight=OptionsInfo(scss=True, category='heading', type='value', value='initial'), heading_padding=OptionsInfo(scss=True, category='heading', type='px', value='4px'), heading_padding_horizontal=OptionsInfo(scss=True, category='heading', type='px', value='5px'), heading_border_bottom_style=OptionsInfo(scss=True, category='heading', type='value', value='solid'), heading_border_bottom_width=OptionsInfo(scss=True, category='heading', type='px', value='2px'), heading_border_bottom_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), heading_border_lr_style=OptionsInfo(scss=True, category='heading', type='value', value='none'), heading_border_lr_width=OptionsInfo(scss=True, category='heading', type='px', value='1px'), heading_border_lr_color=OptionsInfo(scss=True, category='heading', type='value', value='#D3D3D3'), column_labels_background_color=OptionsInfo(scss=True, category='column_labels', type='value', value=None), column_labels_font_size=OptionsInfo(scss=True, category='column_labels', type='px', value='100%'), column_labels_font_weight=OptionsInfo(scss=True, category='column_labels', type='value', value='normal'), column_labels_text_transform=OptionsInfo(scss=True, category='column_labels', type='value', value='inherit'), column_labels_padding=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_padding_horizontal=OptionsInfo(scss=True, category='column_labels', type='px', value='5px'), column_labels_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), column_labels_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), column_labels_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), column_labels_border_top_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_top_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_top_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_bottom_style=OptionsInfo(scss=True, category='column_labels', type='value', value='solid'), column_labels_border_bottom_width=OptionsInfo(scss=True, category='column_labels', type='px', value='2px'), column_labels_border_bottom_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_border_lr_style=OptionsInfo(scss=True, category='column_labels', type='value', value='none'), column_labels_border_lr_width=OptionsInfo(scss=True, category='column_labels', type='px', value='1px'), column_labels_border_lr_color=OptionsInfo(scss=True, category='column_labels', type='value', value='#D3D3D3'), column_labels_hidden=OptionsInfo(scss=False, category='column_labels', type='boolean', value=False), row_group_background_color=OptionsInfo(scss=True, category='row_group', type='value', value=None), row_group_font_size=OptionsInfo(scss=True, category='row_group', type='px', value='100%'), row_group_font_weight=OptionsInfo(scss=True, category='row_group', type='value', value='initial'), row_group_text_transform=OptionsInfo(scss=True, category='row_group', type='value', value='inherit'), row_group_padding=OptionsInfo(scss=True, category='row_group', type='px', value='8px'), row_group_padding_horizontal=OptionsInfo(scss=True, category='row_group', type='px', value='5px'), row_group_border_top_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_top_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_top_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_right_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_right_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_right_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_bottom_style=OptionsInfo(scss=True, category='row_group', type='value', value='solid'), row_group_border_bottom_width=OptionsInfo(scss=True, category='row_group', type='px', value='2px'), row_group_border_bottom_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_border_left_style=OptionsInfo(scss=True, category='row_group', type='value', value='none'), row_group_border_left_width=OptionsInfo(scss=True, category='row_group', type='px', value='1px'), row_group_border_left_color=OptionsInfo(scss=True, category='row_group', type='value', value='#D3D3D3'), row_group_as_column=OptionsInfo(scss=False, category='row_group', type='boolean', value=False), table_body_hlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_hlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_hlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_vlines_style=OptionsInfo(scss=True, category='table_body', type='value', value='none'), table_body_vlines_width=OptionsInfo(scss=True, category='table_body', type='px', value='1px'), table_body_vlines_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_top_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_top_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_top_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), table_body_border_bottom_style=OptionsInfo(scss=True, category='table_body', type='value', value='solid'), table_body_border_bottom_width=OptionsInfo(scss=True, category='table_body', type='px', value='2px'), table_body_border_bottom_color=OptionsInfo(scss=True, category='table_body', type='value', value='#D3D3D3'), data_row_padding=OptionsInfo(scss=True, category='data_row', type='px', value='8px'), data_row_padding_horizontal=OptionsInfo(scss=True, category='data_row', type='px', value='5px'), stub_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), stub_row_group_background_color=OptionsInfo(scss=True, category='stub', type='value', value=None), stub_row_group_font_size=OptionsInfo(scss=True, category='stub', type='px', value='100%'), stub_row_group_font_weight=OptionsInfo(scss=True, category='stub', type='value', value='initial'), stub_row_group_text_transform=OptionsInfo(scss=True, category='stub', type='value', value='inherit'), stub_row_group_border_style=OptionsInfo(scss=True, category='stub', type='value', value='solid'), stub_row_group_border_width=OptionsInfo(scss=True, category='stub', type='px', value='2px'), stub_row_group_border_color=OptionsInfo(scss=True, category='stub', type='value', value='#D3D3D3'), source_notes_padding=OptionsInfo(scss=True, category='source_notes', type='px', value='4px'), source_notes_padding_horizontal=OptionsInfo(scss=True, category='source_notes', type='px', value='5px'), source_notes_background_color=OptionsInfo(scss=True, category='source_notes', type='value', value=None), source_notes_font_size=OptionsInfo(scss=True, category='source_notes', type='px', value='90%'), source_notes_border_bottom_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_bottom_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_bottom_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_border_lr_style=OptionsInfo(scss=True, category='source_notes', type='value', value='none'), source_notes_border_lr_width=OptionsInfo(scss=True, category='source_notes', type='px', value='2px'), source_notes_border_lr_color=OptionsInfo(scss=True, category='source_notes', type='value', value='#D3D3D3'), source_notes_multiline=OptionsInfo(scss=False, category='source_notes', type='boolean', value=True), source_notes_sep=OptionsInfo(scss=False, category='source_notes', type='value', value=' '), container_width=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_height=OptionsInfo(scss=False, category='container', type='px', value='auto'), container_padding_x=OptionsInfo(scss=False, category='container', type='px', value='0px'), container_padding_y=OptionsInfo(scss=False, category='container', type='px', value='10px'), container_overflow_x=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), container_overflow_y=OptionsInfo(scss=False, category='container', type='overflow', value='auto'), quarto_disable_processing=OptionsInfo(scss=False, category='quarto', type='logical', value=False), quarto_use_bootstrap=OptionsInfo(scss=False, category='quarto', type='logical', value=False)), _has_built=False)"
+       "└────────────────────┴──────────────────────────────┴──────────┴───────┘, _body=<great_tables._gt_data.Body object at 0x70b116da6e40>, _boxhead=Boxhead([ColInfo(var='column', type=<ColInfoTypeEnum.stub: 2>, column_label='column', column_align='left', column_width=None), ColInfo(var='percentages in row groups', type=<ColInfoTypeEnum.default: 1>, column_label='percentages in row groups', column_align='center', column_width=None), ColInfo(var='null%', type=<ColInfoTypeEnum.default: 1>, column_label='null%', column_align='right', column_width=None), ColInfo(var='total', type=<ColInfoTypeEnum.default: 1>, column_label='total', column_align='right', column_width=None)]), _stub=<great_tables._gt_data.Stub object at 0x70b116d70740>, _spanners=Spanners([]), _heading=Heading(title='Null Distribution', subtitle=None, preheader=None), _stubhead='column', _source_notes=[], _footnotes=[], _styles=[], _locale=<great_tables._gt_data.Locale object at 0x70b116da70e0>, _formats=[<great_tables._gt_data.FormatInfo object at 0x70b116d73920>, <great_tables._gt_data.FormatInfo object at 0x70b116da5cd0>, <great_tables._gt_data.FormatInfo object at 0x70b116da5fd0>], _substitutions=[], _options=Options(table_id=OptionsInfo(scss=False, category='table', type='value', value=None), table_caption=OptionsInfo(scss=False, category='table', type='value', value=None), table_width=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_layout=OptionsInfo(scss=True, category='table', type='value', value='fixed'), table_margin_left=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_margin_right=OptionsInfo(scss=True, category='table', type='px', value='auto'), table_background_color=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_font_names=OptionsInfo(scss=False, category='table', type='values', value=['-apple-system', 'BlinkMacSystemFont', 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Helvetica Neue', 'Fira Sans', 'Droid Sans', 'Arial', 'sans-serif']), table_font_size=OptionsInfo(scss=True, category='table', type='px', value='16px'), table_font_weight=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_style=OptionsInfo(scss=True, category='table', type='value', value='normal'), table_font_color=OptionsInfo(scss=True, category='table', type='value', value='#333333'), table_font_color_light=OptionsInfo(scss=True, category='table', type='value', value='#FFFFFF'), table_border_top_include=OptionsInfo(scss=False, category='table', type='boolean', value=True), table_border_top_style=OptionsInfo(scss=True, category='table', type='value', value='solid'), table_border_top_width=OptionsInfo(scss=True, category='table', type='px', value='2px'), table_border_top_color=OptionsInfo(scss=True, category='table', type='value', value='#A8A8A8'), table_border_right_style=OptionsInfo(scss=True, category='table', type='value', value='none'), 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      },
      "execution_count": 25,
@@ -2091,23 +2092,23 @@
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-       "  #altair-viz-2a237909ee874a43b33438085b0ff455.vega-embed details summary {\n",
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        "    position: relative;\n",
        "  }\n",
        "</style>\n",
-       "<div id=\"altair-viz-2a237909ee874a43b33438085b0ff455\"></div>\n",
+       "<div id=\"altair-viz-9be2d94a082345f69059f9ffadc753cc\"></div>\n",
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@@ -2275,23 +2276,23 @@
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1060, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 652, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2982, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2457, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1033, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2300, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 349, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1221, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 279, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1186, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1297, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 609, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 743, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 1060, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 350, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 630, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1060, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1271, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 854, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1085, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1375, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1189, 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\"Primary_Bank_Type\": \"P\"}, {\"EMI\": 921, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 265, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2207, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1139, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1167, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 968, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 502, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 866, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 902, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 968, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 717, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1104, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 913, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 509, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 509, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 766, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2205, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1047, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 733, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 796, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1263, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1060, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 898, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 609, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 503, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1137, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2445, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1921, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1186, \"Primary_Bank_Type\": \"P\"}]}, {\"name\": \"param_2_store\"}, {\"name\": \"source_0\", \"source\": \"_server_source_0\", \"transform\": [{\"type\": \"kde\", \"as\": [\"EMI\", \"density\"], \"field\": \"EMI\", \"resolve\": \"shared\", \"groupby\": [\"Primary_Bank_Type\"]}, {\"type\": \"filter\", \"expr\": \"isValid(datum[\\\"EMI\\\"]) && isFinite(+datum[\\\"EMI\\\"]) && isValid(datum[\\\"density\\\"]) && isFinite(+datum[\\\"density\\\"])\"}, {\"type\": \"project\", \"fields\": [\"EMI\", \"Primary_Bank_Type\", \"density\"]}]}, {\"name\": \"source_1\", \"values\": [{\"Primary_Bank_Type\": \"__null__\", \"bad_rate\": 0.7969332339473965, \"bad_rate_end\": 0.7969332339473965, \"bad_rate_start\": 0.0}, {\"Primary_Bank_Type\": \"G\", \"bad_rate\": 0.6632855141766894, \"bad_rate_end\": 0.6632855141766894, \"bad_rate_start\": 0.0}, {\"Primary_Bank_Type\": \"P\", \"bad_rate\": 0.6618289204674525, \"bad_rate_end\": 0.6618289204674525, \"bad_rate_start\": 0.0}]}, {\"name\": \"source_0_color_domain_Primary_Bank_Type_0\", \"source\": \"source_0\", \"transform\": [{\"type\": \"aggregate\", \"groupby\": [\"Primary_Bank_Type\"], \"fields\": [], \"ops\": [], \"as\": []}, {\"type\": \"formula\", \"expr\": \"datum['Primary_Bank_Type']\", \"as\": \"sort_field\"}, {\"type\": \"project\", \"fields\": [\"Primary_Bank_Type\"]}]}, {\"name\": \"source_1_color_domain_Primary_Bank_Type_1\", \"values\": [{\"Primary_Bank_Type\": \"__null__\"}, {\"Primary_Bank_Type\": \"G\"}, {\"Primary_Bank_Type\": \"P\"}]}, {\"name\": \"source_0_view_3_x_domain_EMI\", \"source\": \"source_0\", \"transform\": [{\"type\": \"formula\", \"expr\": \"+datum['EMI']\", \"as\": \"EMI\"}, {\"type\": \"aggregate\", \"groupby\": [], \"fields\": [\"EMI\", \"EMI\"], \"ops\": [\"min\", \"max\"], \"as\": [\"min\", \"max\"]}]}, {\"name\": \"source_0_view_3_y_domain_density\", \"source\": \"source_0\", \"transform\": [{\"type\": \"formula\", \"expr\": \"+datum['density']\", \"as\": \"density\"}, {\"type\": \"aggregate\", \"groupby\": [], \"fields\": [\"density\", \"density\"], \"ops\": [\"min\", \"max\"], \"as\": [\"min\", \"max\"]}]}, {\"name\": \"source_1_concat_1_y_domain_Primary_Bank_Type\", \"values\": [{\"Primary_Bank_Type\": \"__null__\"}, {\"Primary_Bank_Type\": \"G\"}, {\"Primary_Bank_Type\": \"P\"}]}], \"signals\": [{\"name\": \"view_3_height\", \"value\": 300}, {\"name\": \"concat_1_y_step\", \"value\": 20}, {\"name\": \"concat_1_height\", \"update\": \"bandspace(domain('concat_1_y').length, 0.1, 0.05) * concat_1_y_step\"}, {\"name\": \"unit\", \"value\": {}, \"on\": [{\"events\": \"pointermove\", \"update\": \"isTuple(group()) ? group() : unit\"}]}, {\"name\": \"param_2_Primary_Bank_Type_legend\", \"value\": null, \"on\": [{\"events\": [{\"source\": \"view\", \"markname\": \"Primary_Bank_Type_legend_symbols\", \"type\": \"click\"}, {\"source\": \"view\", \"markname\": \"Primary_Bank_Type_legend_labels\", \"type\": \"click\"}, {\"source\": \"view\", \"markname\": \"Primary_Bank_Type_legend_entries\", \"type\": \"click\"}], \"update\": \"isDefined(datum.value) ? datum.value : item().items[0].items[0].datum.value\", \"force\": true}, {\"events\": [{\"source\": \"view\", \"type\": \"click\"}], \"update\": \"!event.item || !datum ? null : param_2_Primary_Bank_Type_legend\", \"force\": true}]}, {\"name\": \"param_2\", \"update\": \"vlSelectionResolve(\\\"param_2_store\\\", \\\"union\\\", true, true)\"}], \"marks\": [{\"type\": \"group\", \"name\": \"view_3_group\", \"encode\": {\"update\": {\"width\": {\"signal\": \"width\"}, \"height\": {\"signal\": \"view_3_height\"}}}, \"signals\": [{\"name\": \"param_2_tuple\", \"update\": \"param_2_Primary_Bank_Type_legend !== null ? {fields: param_2_tuple_fields, values: [param_2_Primary_Bank_Type_legend]} : null\"}, {\"name\": \"param_2_tuple_fields\", \"value\": [{\"type\": \"E\", \"field\": \"Primary_Bank_Type\"}]}, {\"name\": \"param_2_toggle\", \"value\": false, \"on\": [{\"events\": {\"merge\": [{\"source\": \"view\", \"type\": \"click\"}]}, \"update\": \"event.shiftKey\"}]}, {\"name\": \"param_2_modify\", \"on\": [{\"events\": {\"signal\": \"param_2_tuple\"}, \"update\": \"modify(\\\"param_2_store\\\", param_2_toggle ? null : param_2_tuple, param_2_toggle ? null : true, param_2_toggle ? param_2_tuple : null)\"}]}], \"marks\": [{\"type\": \"rect\", \"name\": \"view_3_marks\", \"from\": {\"data\": \"source_0\"}, \"encode\": {\"update\": {\"xc\": {\"field\": \"EMI\", \"scale\": \"view_3_x\"}, \"opacity\": [{\"value\": 0.55, \"test\": \"!length(data(\\\"param_2_store\\\")) || vlSelectionTest(\\\"param_2_store\\\", datum)\"}, {\"value\": 0}], \"width\": {\"value\": 5}, \"fill\": {\"field\": \"Primary_Bank_Type\", \"scale\": \"color\"}, \"y\": {\"field\": \"density\", \"scale\": \"view_3_y\"}, \"y2\": {\"value\": 0, \"scale\": \"view_3_y\"}}}, \"style\": [\"bar\"], \"interactive\": true}], \"axes\": [{\"scale\": \"view_3_x\", \"zindex\": 0, \"labels\": false, \"ticks\": false, \"aria\": false, \"domain\": false, \"grid\": true, \"orient\": \"bottom\", \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"maxExtent\": 0, \"minExtent\": 0, \"gridScale\": \"view_3_y\"}, {\"scale\": \"view_3_y\", \"ticks\": false, \"zindex\": 0, \"grid\": true, \"labels\": false, \"domain\": false, \"aria\": false, \"gridScale\": \"view_3_x\", \"maxExtent\": 0, \"minExtent\": 0, \"orient\": \"left\", \"tickCount\": {\"signal\": \"ceil(view_3_height/40)\"}}, {\"scale\": \"view_3_x\", \"zindex\": 0, \"title\": \"EMI\", \"orient\": \"bottom\", \"grid\": false, \"labelFlush\": true, \"labelOverlap\": true, \"tickCount\": {\"signal\": \"ceil(width/40)\"}}, {\"scale\": \"view_3_y\", \"orient\": \"left\", \"title\": \"density\", \"zindex\": 0, \"grid\": false, \"labelOverlap\": true, \"tickCount\": {\"signal\": \"ceil(view_3_height/40)\"}}], \"title\": {\"text\": \"Distribution of EMI on segment Primary_Bank_Type\", \"frame\": \"group\"}, \"style\": \"cell\"}, {\"type\": \"group\", \"name\": \"concat_1_group\", \"encode\": {\"update\": {\"height\": {\"signal\": \"concat_1_height\"}, \"width\": {\"signal\": \"width\"}}}, \"marks\": [{\"type\": \"rect\", \"name\": \"concat_1_marks\", \"from\": {\"data\": \"source_1\"}, \"encode\": {\"update\": {\"height\": {\"signal\": \"max(0.25, bandwidth('concat_1_y'))\"}, \"x\": {\"field\": \"bad_rate_end\", \"scale\": \"concat_1_x\"}, \"tooltip\": {\"signal\": \"{\\\"Null/NaN/Inf%\\\": format(datum[\\\"bad_rate\\\"], \\\"\\\")}\"}, \"x2\": {\"field\": \"bad_rate_start\", \"scale\": \"concat_1_x\"}, \"opacity\": {\"value\": 0.5}, \"fill\": {\"field\": 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\"source_1_color_domain_Primary_Bank_Type_1\", \"field\": \"Primary_Bank_Type\"}], \"sort\": true}, \"range\": \"category\"}, {\"name\": \"view_3_x\", \"type\": \"linear\", \"domain\": [{\"signal\": \"(data(\\\"source_0_view_3_x_domain_EMI\\\")[0] || {}).min\"}, {\"signal\": \"(data(\\\"source_0_view_3_x_domain_EMI\\\")[0] || {}).max\"}], \"range\": [0, {\"signal\": \"width\"}], \"zero\": false, \"nice\": true, \"padding\": 5}, {\"name\": \"view_3_y\", \"type\": \"linear\", \"domain\": [{\"signal\": \"(data(\\\"source_0_view_3_y_domain_density\\\")[0] || {}).min\"}, {\"signal\": \"(data(\\\"source_0_view_3_y_domain_density\\\")[0] || {}).max\"}], \"range\": [{\"signal\": \"view_3_height\"}, 0], \"zero\": true, \"domainMin\": 0}, {\"name\": \"concat_1_x\", \"type\": \"linear\", \"domain\": [0, 1], \"range\": [0, {\"signal\": \"width\"}], \"zero\": true}, {\"name\": \"concat_1_y\", \"type\": \"band\", \"domain\": {\"data\": \"source_1_concat_1_y_domain_Primary_Bank_Type\", \"field\": \"Primary_Bank_Type\", \"sort\": true}, \"range\": {\"step\": {\"signal\": \"concat_1_y_step\"}}, \"paddingInner\": 0.1, \"paddingOuter\": 0.05}], \"background\": \"white\", \"padding\": 5, \"layout\": {\"padding\": 20, \"columns\": 1, \"bounds\": \"full\", \"align\": \"each\"}, \"width\": 300, \"legends\": [{\"fill\": \"color\", \"symbolType\": \"square\", \"title\": \"Primary_Bank_Type\", \"encode\": {\"labels\": {\"name\": \"Primary_Bank_Type_legend_labels\", \"interactive\": true, \"update\": {\"opacity\": [{\"test\": \"(!length(data(\\\"param_2_store\\\")) || (param_2[\\\"Primary_Bank_Type\\\"] && indexof(param_2[\\\"Primary_Bank_Type\\\"], datum.value) >= 0))\", \"value\": 1}, {\"value\": 0.35}]}}, \"symbols\": {\"name\": \"Primary_Bank_Type_legend_symbols\", \"interactive\": true, \"update\": {\"opacity\": [{\"test\": \"(!length(data(\\\"param_2_store\\\")) || (param_2[\\\"Primary_Bank_Type\\\"] && indexof(param_2[\\\"Primary_Bank_Type\\\"], datum.value) >= 0))\", \"value\": 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+       "  })({\"$schema\": \"https://vega.github.io/schema/vega/v5.json\", \"data\": [{\"name\": \"_server_source_0\", \"values\": [{\"EMI\": 1802, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 299, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 871, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 713, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 572, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 890, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 564, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1166, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 679, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 512, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1388, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1418, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1129, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2796, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 742, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 456, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 2472, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 688, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 904, 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\"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 898, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1163, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2248, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 968, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1070, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 692, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 688, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 4918, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 575, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 866, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 373, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1489, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 846, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 508, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 408, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 273, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 441, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 720, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1808, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 5464, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 465, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 990, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 882, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1949, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 588, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 433, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 455, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 486, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 732, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 833, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 649, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1475, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 555, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 944, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 775, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 764, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 698, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 419, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 613, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1203, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 750, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 241, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1025, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1196, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 1070, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 442, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 4452, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 647, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 363, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 480, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1196, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 289, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 698, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 960, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1300, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 885, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 295, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 393, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1070, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 998, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 322, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 885, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 658, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 386, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 878, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 589, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 243, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 562, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1196, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 496, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1163, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1195, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 820, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 701, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 776, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 464, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 319, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 2503, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1443, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 1163, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 2314, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1919, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 433, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 280, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 295, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1163, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 577, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 968, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1195, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 738, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1089, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 864, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 711, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 567, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 588, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1054, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1073, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1353, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1054, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 484, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1413, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 549, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 505, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 804, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 1123, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1639, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1274, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 683, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1195, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 692, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1354, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1163, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 746, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 866, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 478, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1039, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1058, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1152, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 502, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 775, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1166, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 239, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 2076, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1213, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 898, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1034, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1163, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 433, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 982, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1270, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 701, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 703, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 703, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1366, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 1489, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1195, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1040, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 683, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 972, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 885, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 904, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1680, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 1138, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 1110, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 543, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 476, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 295, \"Primary_Bank_Type\": \"G\"}, {\"EMI\": 562, \"Primary_Bank_Type\": \"__null__\"}, {\"EMI\": 696, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 2695, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 898, \"Primary_Bank_Type\": \"P\"}, {\"EMI\": 408, \"Primary_Bank_Type\": \"G\"}]}, {\"name\": \"param_2_store\"}, {\"name\": \"source_0\", \"source\": \"_server_source_0\", \"transform\": [{\"type\": \"kde\", \"resolve\": \"shared\", \"groupby\": [\"Primary_Bank_Type\"], \"as\": [\"EMI\", \"density\"], \"field\": \"EMI\"}, {\"type\": \"filter\", \"expr\": \"isValid(datum[\\\"EMI\\\"]) && isFinite(+datum[\\\"EMI\\\"]) && isValid(datum[\\\"density\\\"]) && isFinite(+datum[\\\"density\\\"])\"}, {\"type\": \"project\", \"fields\": [\"EMI\", \"Primary_Bank_Type\", \"density\"]}]}, {\"name\": \"source_1\", \"values\": [{\"Primary_Bank_Type\": \"G\", \"bad_rate\": 0.6632855141766894, \"bad_rate_end\": 0.6632855141766894, \"bad_rate_start\": 0.0}, {\"Primary_Bank_Type\": \"__null__\", \"bad_rate\": 0.7969332339473965, \"bad_rate_end\": 0.7969332339473965, \"bad_rate_start\": 0.0}, {\"Primary_Bank_Type\": \"P\", \"bad_rate\": 0.6618289204674525, \"bad_rate_end\": 0.6618289204674525, \"bad_rate_start\": 0.0}]}, {\"name\": \"source_0_color_domain_Primary_Bank_Type_0\", \"source\": \"source_0\", \"transform\": [{\"type\": \"aggregate\", \"groupby\": [\"Primary_Bank_Type\"], \"fields\": [], \"ops\": [], \"as\": []}, {\"type\": \"formula\", \"expr\": \"datum['Primary_Bank_Type']\", \"as\": \"sort_field\"}, {\"type\": \"project\", \"fields\": [\"Primary_Bank_Type\"]}]}, {\"name\": \"source_1_color_domain_Primary_Bank_Type_1\", \"values\": [{\"Primary_Bank_Type\": \"G\"}, {\"Primary_Bank_Type\": \"__null__\"}, {\"Primary_Bank_Type\": \"P\"}]}, {\"name\": \"source_0_view_3_x_domain_EMI\", \"source\": \"source_0\", \"transform\": [{\"type\": \"formula\", \"expr\": \"+datum['EMI']\", \"as\": \"EMI\"}, {\"type\": \"aggregate\", \"groupby\": [], \"fields\": [\"EMI\", \"EMI\"], \"ops\": [\"min\", \"max\"], \"as\": [\"min\", \"max\"]}]}, {\"name\": \"source_0_view_3_y_domain_density\", \"source\": \"source_0\", \"transform\": [{\"type\": \"formula\", \"expr\": \"+datum['density']\", \"as\": \"density\"}, {\"type\": \"aggregate\", \"groupby\": [], \"fields\": [\"density\", \"density\"], \"ops\": [\"min\", \"max\"], \"as\": [\"min\", \"max\"]}]}, {\"name\": \"source_1_concat_1_y_domain_Primary_Bank_Type\", \"values\": [{\"Primary_Bank_Type\": \"G\"}, {\"Primary_Bank_Type\": \"__null__\"}, {\"Primary_Bank_Type\": \"P\"}]}], \"signals\": [{\"name\": \"view_3_height\", \"value\": 300}, {\"name\": \"concat_1_y_step\", \"value\": 20}, {\"name\": \"concat_1_height\", \"update\": \"bandspace(domain('concat_1_y').length, 0.1, 0.05) * concat_1_y_step\"}, {\"name\": \"unit\", \"value\": {}, \"on\": [{\"events\": \"pointermove\", \"update\": \"isTuple(group()) ? group() : unit\"}]}, {\"name\": \"param_2_Primary_Bank_Type_legend\", \"value\": null, \"on\": [{\"events\": [{\"source\": \"view\", \"markname\": \"Primary_Bank_Type_legend_symbols\", \"type\": \"click\"}, {\"source\": \"view\", \"markname\": \"Primary_Bank_Type_legend_labels\", \"type\": \"click\"}, {\"source\": \"view\", \"markname\": \"Primary_Bank_Type_legend_entries\", \"type\": \"click\"}], \"update\": \"isDefined(datum.value) ? datum.value : item().items[0].items[0].datum.value\", \"force\": true}, {\"events\": [{\"source\": \"view\", \"type\": \"click\"}], \"update\": \"!event.item || !datum ? null : param_2_Primary_Bank_Type_legend\", \"force\": true}]}, {\"name\": \"param_2\", \"update\": \"vlSelectionResolve(\\\"param_2_store\\\", \\\"union\\\", true, true)\"}], \"marks\": [{\"type\": \"group\", \"name\": \"view_3_group\", \"encode\": {\"update\": {\"height\": {\"signal\": \"view_3_height\"}, \"width\": {\"signal\": \"width\"}}}, \"signals\": [{\"name\": \"param_2_tuple\", \"update\": \"param_2_Primary_Bank_Type_legend !== null ? {fields: param_2_tuple_fields, values: [param_2_Primary_Bank_Type_legend]} : null\"}, {\"name\": \"param_2_tuple_fields\", \"value\": [{\"type\": \"E\", \"field\": \"Primary_Bank_Type\"}]}, {\"name\": \"param_2_toggle\", \"value\": false, \"on\": [{\"events\": {\"merge\": [{\"source\": \"view\", \"type\": \"click\"}]}, \"update\": \"event.shiftKey\"}]}, {\"name\": \"param_2_modify\", \"on\": [{\"events\": {\"signal\": \"param_2_tuple\"}, \"update\": \"modify(\\\"param_2_store\\\", param_2_toggle ? null : param_2_tuple, param_2_toggle ? null : true, param_2_toggle ? param_2_tuple : null)\"}]}], \"marks\": [{\"type\": \"rect\", \"name\": \"view_3_marks\", \"from\": {\"data\": \"source_0\"}, \"encode\": {\"update\": {\"width\": {\"value\": 5}, \"xc\": {\"field\": \"EMI\", \"scale\": \"view_3_x\"}, \"opacity\": [{\"value\": 0.55, \"test\": \"!length(data(\\\"param_2_store\\\")) || vlSelectionTest(\\\"param_2_store\\\", datum)\"}, {\"value\": 0}], \"fill\": {\"field\": \"Primary_Bank_Type\", \"scale\": \"color\"}, \"y\": {\"field\": \"density\", \"scale\": \"view_3_y\"}, \"y2\": {\"value\": 0, \"scale\": \"view_3_y\"}}}, \"style\": [\"bar\"], \"interactive\": true}], \"axes\": [{\"scale\": \"view_3_x\", \"gridScale\": \"view_3_y\", \"labels\": false, \"maxExtent\": 0, \"ticks\": false, \"zindex\": 0, \"aria\": false, \"domain\": false, \"orient\": \"bottom\", \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"grid\": true, \"minExtent\": 0}, {\"scale\": \"view_3_y\", \"domain\": false, \"gridScale\": \"view_3_x\", \"zindex\": 0, \"orient\": \"left\", \"aria\": false, \"maxExtent\": 0, \"minExtent\": 0, \"ticks\": false, \"labels\": false, \"grid\": true, \"tickCount\": {\"signal\": \"ceil(view_3_height/40)\"}}, {\"scale\": \"view_3_x\", \"grid\": false, \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"labelFlush\": true, \"title\": \"EMI\", \"labelOverlap\": true, \"zindex\": 0, \"orient\": \"bottom\"}, {\"scale\": \"view_3_y\", \"grid\": false, \"tickCount\": {\"signal\": \"ceil(view_3_height/40)\"}, \"title\": \"density\", \"labelOverlap\": true, \"orient\": \"left\", \"zindex\": 0}], \"title\": {\"text\": \"Distribution of EMI on segment Primary_Bank_Type\", \"frame\": \"group\"}, \"style\": \"cell\"}, {\"type\": \"group\", \"name\": \"concat_1_group\", \"encode\": {\"update\": {\"width\": {\"signal\": \"width\"}, \"height\": {\"signal\": \"concat_1_height\"}}}, \"marks\": [{\"type\": \"rect\", \"name\": \"concat_1_marks\", \"from\": {\"data\": \"source_1\"}, \"encode\": {\"update\": {\"x2\": {\"field\": \"bad_rate_start\", \"scale\": \"concat_1_x\"}, \"height\": {\"signal\": \"max(0.25, bandwidth('concat_1_y'))\"}, \"opacity\": {\"value\": 0.5}, \"x\": {\"field\": \"bad_rate_end\", \"scale\": \"concat_1_x\"}, \"fill\": {\"field\": \"Primary_Bank_Type\", \"scale\": \"color\"}, \"tooltip\": {\"signal\": \"{\\\"Null/NaN/Inf%\\\": format(datum[\\\"bad_rate\\\"], \\\"\\\")}\"}, \"y\": {\"field\": \"Primary_Bank_Type\", \"scale\": \"concat_1_y\"}}}, \"interactive\": true, \"style\": [\"bar\"]}], \"axes\": [{\"scale\": \"concat_1_x\", \"minExtent\": 0, \"orient\": \"bottom\", \"grid\": true, \"gridScale\": \"concat_1_y\", \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"labels\": false, \"aria\": false, \"maxExtent\": 0, \"domain\": false, \"ticks\": false, \"zindex\": 0}, {\"scale\": \"concat_1_x\", \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"orient\": \"bottom\", \"labelOverlap\": true, \"grid\": false, \"labelFlush\": true, \"title\": \"Null/NaN/Inf%\", \"zindex\": 0}, {\"scale\": \"concat_1_y\", \"orient\": \"left\", \"grid\": false, \"zindex\": 0, \"title\": \"Primary_Bank_Type\"}], \"style\": \"cell\"}], \"scales\": [{\"name\": \"color\", \"type\": \"ordinal\", \"domain\": {\"fields\": [{\"data\": \"source_0_color_domain_Primary_Bank_Type_0\", \"field\": \"Primary_Bank_Type\"}, {\"data\": \"source_1_color_domain_Primary_Bank_Type_1\", \"field\": \"Primary_Bank_Type\"}], \"sort\": true}, \"range\": \"category\"}, {\"name\": \"view_3_x\", \"type\": \"linear\", \"domain\": [{\"signal\": \"(data(\\\"source_0_view_3_x_domain_EMI\\\")[0] || {}).min\"}, {\"signal\": \"(data(\\\"source_0_view_3_x_domain_EMI\\\")[0] || {}).max\"}], \"range\": [0, {\"signal\": \"width\"}], \"nice\": true, \"padding\": 5, \"zero\": false}, {\"name\": \"view_3_y\", \"type\": \"linear\", \"domain\": [{\"signal\": \"(data(\\\"source_0_view_3_y_domain_density\\\")[0] || {}).min\"}, {\"signal\": \"(data(\\\"source_0_view_3_y_domain_density\\\")[0] || {}).max\"}], \"range\": [{\"signal\": \"view_3_height\"}, 0], \"domainMin\": 0, \"zero\": true}, {\"name\": \"concat_1_x\", \"type\": \"linear\", \"domain\": [0, 1], \"range\": [0, {\"signal\": \"width\"}], \"zero\": true}, {\"name\": \"concat_1_y\", \"type\": \"band\", \"domain\": {\"data\": \"source_1_concat_1_y_domain_Primary_Bank_Type\", \"field\": \"Primary_Bank_Type\", \"sort\": true}, \"range\": {\"step\": {\"signal\": \"concat_1_y_step\"}}, \"paddingInner\": 0.1, \"paddingOuter\": 0.05}], \"legends\": [{\"fill\": \"color\", \"symbolType\": \"square\", \"title\": \"Primary_Bank_Type\", \"encode\": {\"labels\": {\"name\": \"Primary_Bank_Type_legend_labels\", \"interactive\": true, \"update\": {\"opacity\": [{\"test\": \"(!length(data(\\\"param_2_store\\\")) || (param_2[\\\"Primary_Bank_Type\\\"] && indexof(param_2[\\\"Primary_Bank_Type\\\"], datum.value) >= 0))\", \"value\": 1}, {\"value\": 0.35}]}}, \"symbols\": {\"name\": \"Primary_Bank_Type_legend_symbols\", \"interactive\": true, \"update\": {\"opacity\": [{\"test\": \"(!length(data(\\\"param_2_store\\\")) || (param_2[\\\"Primary_Bank_Type\\\"] && indexof(param_2[\\\"Primary_Bank_Type\\\"], datum.value) >= 0))\", \"value\": 0.55}, {\"value\": 0.35}]}}, \"entries\": {\"name\": \"Primary_Bank_Type_legend_entries\", \"interactive\": true, \"update\": {\"fill\": {\"value\": \"transparent\"}}}}}], \"background\": \"white\", \"layout\": {\"padding\": 20, \"columns\": 1, \"bounds\": \"full\", \"align\": \"each\"}, \"padding\": 5, \"width\": 300}, {\"mode\": \"vega\"});\n",
        "</script>"
       ],
       "text/plain": [
@@ -2528,23 +2529,23 @@
       "text/html": [
        "\n",
        "<style>\n",
-       "  #altair-viz-da3e462b12224d71be5b86d8184be368.vega-embed {\n",
+       "  #altair-viz-a52a1137233d46d9b17946d8f317d4f6.vega-embed {\n",
        "    width: 100%;\n",
        "    display: flex;\n",
        "  }\n",
        "\n",
-       "  #altair-viz-da3e462b12224d71be5b86d8184be368.vega-embed details,\n",
-       "  #altair-viz-da3e462b12224d71be5b86d8184be368.vega-embed details summary {\n",
+       "  #altair-viz-a52a1137233d46d9b17946d8f317d4f6.vega-embed details,\n",
+       "  #altair-viz-a52a1137233d46d9b17946d8f317d4f6.vega-embed details summary {\n",
        "    position: relative;\n",
        "  }\n",
        "</style>\n",
-       "<div id=\"altair-viz-da3e462b12224d71be5b86d8184be368\"></div>\n",
+       "<div id=\"altair-viz-a52a1137233d46d9b17946d8f317d4f6\"></div>\n",
        "<script type=\"text/javascript\">\n",
        "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
        "  (function(spec, embedOpt){\n",
        "    let outputDiv = document.currentScript.previousElementSibling;\n",
-       "    if (outputDiv.id !== \"altair-viz-da3e462b12224d71be5b86d8184be368\") {\n",
-       "      outputDiv = document.getElementById(\"altair-viz-da3e462b12224d71be5b86d8184be368\");\n",
+       "    if (outputDiv.id !== \"altair-viz-a52a1137233d46d9b17946d8f317d4f6\") {\n",
+       "      outputDiv = document.getElementById(\"altair-viz-a52a1137233d46d9b17946d8f317d4f6\");\n",
        "    }\n",
        "    const paths = {\n",
        "      \"vega\": \"https://cdn.jsdelivr.net/npm/vega@5?noext\",\n",
@@ -2590,7 +2591,7 @@
        "        .catch(showError)\n",
        "        .then(() => displayChart(vegaEmbed));\n",
        "    }\n",
-       "  })({\"$schema\": \"https://vega.github.io/schema/vega/v5.json\", \"data\": [{\"name\": \"param_3_store\"}, {\"name\": \"param_4_store\"}, {\"name\": \"source_0\", \"values\": [{\"pc1\": -2.6841256259695343, \"pc2\": 0.3193972465851026, \"species\": \"setosa\"}, {\"pc1\": -2.714141687294324, \"pc2\": -0.17700122506477878, \"species\": \"setosa\"}, {\"pc1\": -2.8889905690592945, \"pc2\": -0.14494942608555605, \"species\": \"setosa\"}, {\"pc1\": -2.745342855641408, \"pc2\": -0.3182989792519147, \"species\": \"setosa\"}, {\"pc1\": -2.728716536554528, \"pc2\": 0.3267545129349214, \"species\": \"setosa\"}, {\"pc1\": -2.2808596328444906, \"pc2\": 0.7413304490629165, \"species\": \"setosa\"}, {\"pc1\": -2.8205377507406073, \"pc2\": -0.08946138452856735, \"species\": \"setosa\"}, {\"pc1\": -2.626144973146631, \"pc2\": 0.16338495969833014, \"species\": \"setosa\"}, {\"pc1\": -2.886382731780551, \"pc2\": -0.5783117541867023, \"species\": \"setosa\"}, {\"pc1\": -2.672755797820952, 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@@ -2621,23 +2622,23 @@
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-       "  #altair-viz-ad9a3c60a83a4fe0a2cc7458325bf6e3.vega-embed {\n",
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        "    width: 100%;\n",
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        "    position: relative;\n",
        "  }\n",
        "</style>\n",
-       "<div id=\"altair-viz-ad9a3c60a83a4fe0a2cc7458325bf6e3\"></div>\n",
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        "<script type=\"text/javascript\">\n",
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-       "      outputDiv = document.getElementById(\"altair-viz-ad9a3c60a83a4fe0a2cc7458325bf6e3\");\n",
+       "    if (outputDiv.id !== \"altair-viz-1498d2da382044c7a7bb925fedf8cd4a\") {\n",
+       "      outputDiv = document.getElementById(\"altair-viz-1498d2da382044c7a7bb925fedf8cd4a\");\n",
        "    }\n",
        "    const paths = {\n",
        "      \"vega\": \"https://cdn.jsdelivr.net/npm/vega@5?noext\",\n",
@@ -2683,7 +2684,7 @@
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4.4, \"sepal length (cm)\": 5.5}, {\"petal length (cm)\": 4.6, \"sepal length (cm)\": 6.1}, {\"petal length (cm)\": 4.0, \"sepal length (cm)\": 5.8}, {\"petal length (cm)\": 3.3, \"sepal length (cm)\": 5.0}, {\"petal length (cm)\": 4.2, \"sepal length (cm)\": 5.6}, {\"petal length (cm)\": 4.2, \"sepal length (cm)\": 5.7}, {\"petal length (cm)\": 4.2, \"sepal length (cm)\": 5.7}, {\"petal length (cm)\": 4.3, \"sepal length (cm)\": 6.2}, {\"petal length (cm)\": 3.0, \"sepal length (cm)\": 5.1}, {\"petal length (cm)\": 4.1, \"sepal length (cm)\": 5.7}]}, {\"name\": \"data_2\", \"values\": [{\"petal length (cm)\": 6.0, \"sepal length (cm)\": 6.3}, {\"petal length (cm)\": 5.1, \"sepal length (cm)\": 5.8}, {\"petal length (cm)\": 5.9, \"sepal length (cm)\": 7.1}, {\"petal length (cm)\": 5.6, \"sepal length (cm)\": 6.3}, {\"petal length (cm)\": 5.8, \"sepal length (cm)\": 6.5}, {\"petal length (cm)\": 6.6, \"sepal length (cm)\": 7.6}, {\"petal length (cm)\": 4.5, \"sepal length (cm)\": 4.9}, 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length (cm)\": 5.7, \"sepal length (cm)\": 6.7}, {\"petal length (cm)\": 6.0, \"sepal length (cm)\": 7.2}, {\"petal length (cm)\": 4.8, \"sepal length (cm)\": 6.2}, {\"petal length (cm)\": 4.9, \"sepal length (cm)\": 6.1}, {\"petal length (cm)\": 5.6, \"sepal length (cm)\": 6.4}, {\"petal length (cm)\": 5.8, \"sepal length (cm)\": 7.2}, {\"petal length (cm)\": 6.1, \"sepal length (cm)\": 7.4}, {\"petal length (cm)\": 6.4, \"sepal length (cm)\": 7.9}, {\"petal length (cm)\": 5.6, \"sepal length (cm)\": 6.4}, {\"petal length (cm)\": 5.1, \"sepal length (cm)\": 6.3}, {\"petal length (cm)\": 5.6, \"sepal length (cm)\": 6.1}, {\"petal length (cm)\": 6.1, \"sepal length (cm)\": 7.7}, {\"petal length (cm)\": 5.6, \"sepal length (cm)\": 6.3}, {\"petal length (cm)\": 5.5, \"sepal length (cm)\": 6.4}, {\"petal length (cm)\": 4.8, \"sepal length (cm)\": 6.0}, {\"petal length (cm)\": 5.4, \"sepal length (cm)\": 6.9}, {\"petal length (cm)\": 5.6, \"sepal length (cm)\": 6.7}, {\"petal length (cm)\": 5.1, \"sepal length (cm)\": 6.9}, {\"petal length (cm)\": 5.1, \"sepal length (cm)\": 5.8}, {\"petal length (cm)\": 5.9, \"sepal length (cm)\": 6.8}, {\"petal length (cm)\": 5.7, \"sepal length (cm)\": 6.7}, {\"petal length (cm)\": 5.2, \"sepal length (cm)\": 6.7}, {\"petal length (cm)\": 5.0, \"sepal length (cm)\": 6.3}, {\"petal length (cm)\": 5.2, \"sepal length (cm)\": 6.5}, {\"petal length (cm)\": 5.4, \"sepal length (cm)\": 6.2}, {\"petal length (cm)\": 5.1, \"sepal length (cm)\": 5.9}]}], \"signals\": [{\"name\": \"childHeight\", \"value\": 300}], \"marks\": [{\"type\": \"group\", \"name\": \"concat_0_group\", \"encode\": {\"update\": {\"height\": {\"signal\": \"childHeight\"}, \"width\": {\"signal\": \"width\"}}}, \"marks\": [{\"type\": \"symbol\", \"name\": \"concat_0_layer_0_marks\", \"from\": {\"data\": \"data_0\"}, \"encode\": {\"update\": {\"fill\": {\"value\": \"transparent\"}, \"opacity\": {\"value\": 0.7}, \"stroke\": {\"value\": \"#4c78a8\"}, \"x\": {\"field\": \"sepal length (cm)\", \"scale\": \"concat_0_x\"}, \"y\": {\"field\": \"petal length (cm)\", \"scale\": \"concat_0_y\"}}}, \"style\": [\"point\"]}, {\"type\": \"line\", \"name\": \"concat_0_layer_1_marks\", \"from\": {\"data\": \"source_0\"}, \"sort\": {\"field\": \"x\"}, \"encode\": {\"update\": {\"y\": {\"field\": \"y_pred\", \"scale\": \"concat_0_y\"}, \"x\": {\"field\": \"sepal length (cm)\", \"scale\": \"concat_0_x\"}, \"stroke\": {\"value\": \"#4c78a8\"}, \"defined\": {\"signal\": \"isValid(datum[\\\"sepal length (cm)\\\"]) && isFinite(+datum[\\\"sepal length (cm)\\\"]) && isValid(datum[\\\"y_pred\\\"]) && isFinite(+datum[\\\"y_pred\\\"])\"}}}, \"style\": [\"line\"]}], \"axes\": [{\"scale\": \"concat_0_x\", \"gridScale\": \"concat_0_y\", \"aria\": false, \"maxExtent\": 0, \"labels\": false, \"domain\": false, \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"minExtent\": 0, \"orient\": \"bottom\", \"zindex\": 0, \"grid\": true, \"ticks\": false}, {\"scale\": \"concat_0_y\", \"grid\": true, \"tickCount\": {\"signal\": \"ceil(childHeight/40)\"}, \"labels\": false, \"zindex\": 0, \"minExtent\": 0, \"ticks\": false, \"maxExtent\": 0, \"orient\": \"left\", \"domain\": false, \"gridScale\": \"concat_0_x\", \"aria\": false}, {\"scale\": \"concat_0_x\", \"labelFlush\": true, \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"zindex\": 0, \"labelOverlap\": true, \"grid\": false, \"title\": \"sepal length (cm)\", \"orient\": \"bottom\"}, {\"scale\": \"concat_0_y\", \"grid\": false, \"orient\": \"left\", \"labelOverlap\": true, \"title\": \"petal length (cm), y_pred\", \"zindex\": 0, \"tickCount\": {\"signal\": \"ceil(childHeight/40)\"}}], \"title\": {\"text\": [\"Linear Regression: petal length (cm) ~ sepal length (cm) + bias\", \"<Segment = setosa>\"], \"frame\": \"group\", \"subtitle\": \"y = 0.1316 * x + 0.8031, r2 = 0.0714\", \"align\": \"center\"}, \"style\": \"cell\"}, {\"type\": \"group\", \"name\": \"concat_1_group\", \"encode\": {\"update\": {\"width\": {\"signal\": \"width\"}, \"height\": {\"signal\": \"childHeight\"}}}, \"marks\": [{\"type\": \"symbol\", \"name\": \"concat_1_layer_0_marks\", \"from\": {\"data\": \"data_1\"}, \"encode\": {\"update\": {\"opacity\": {\"value\": 0.7}, \"fill\": {\"value\": \"transparent\"}, \"x\": {\"field\": \"sepal length (cm)\", \"scale\": \"concat_1_x\"}, \"y\": {\"field\": \"petal length (cm)\", \"scale\": \"concat_1_y\"}, \"stroke\": {\"value\": \"#4c78a8\"}}}, \"style\": [\"point\"]}, {\"type\": \"line\", \"name\": \"concat_1_layer_1_marks\", \"from\": {\"data\": \"source_1\"}, \"sort\": {\"field\": \"x\"}, \"encode\": {\"update\": {\"y\": {\"field\": \"y_pred\", \"scale\": \"concat_1_y\"}, \"defined\": {\"signal\": \"isValid(datum[\\\"sepal length (cm)\\\"]) && isFinite(+datum[\\\"sepal length (cm)\\\"]) && isValid(datum[\\\"y_pred\\\"]) && isFinite(+datum[\\\"y_pred\\\"])\"}, \"stroke\": {\"value\": \"#4c78a8\"}, \"x\": {\"field\": \"sepal length (cm)\", \"scale\": \"concat_1_x\"}}}, \"style\": [\"line\"]}], \"axes\": [{\"scale\": \"concat_1_x\", \"orient\": \"bottom\", \"gridScale\": \"concat_1_y\", \"grid\": true, \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"labels\": false, \"maxExtent\": 0, \"aria\": false, \"zindex\": 0, \"minExtent\": 0, \"domain\": false, \"ticks\": false}, {\"scale\": \"concat_1_y\", \"ticks\": false, \"minExtent\": 0, \"labels\": false, \"gridScale\": \"concat_1_x\", \"grid\": true, \"maxExtent\": 0, \"orient\": \"left\", \"domain\": false, \"zindex\": 0, \"tickCount\": {\"signal\": \"ceil(childHeight/40)\"}, \"aria\": false}, {\"scale\": \"concat_1_x\", \"labelOverlap\": true, \"grid\": false, \"labelFlush\": true, \"orient\": \"bottom\", \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"zindex\": 0, \"title\": \"sepal length (cm)\"}, {\"scale\": \"concat_1_y\", \"zindex\": 0, \"title\": \"petal length (cm), y_pred\", \"grid\": false, \"labelOverlap\": true, \"tickCount\": {\"signal\": \"ceil(childHeight/40)\"}, \"orient\": \"left\"}], \"title\": {\"text\": [\"Linear Regression: petal length (cm) ~ sepal length (cm) + bias\", \"<Segment = versicolor>\"], \"frame\": \"group\", \"align\": \"center\", \"subtitle\": \"y = 0.6865 * x + 0.1851, r2 = 0.5686\"}, \"style\": \"cell\"}, {\"type\": \"group\", \"name\": \"concat_2_group\", \"encode\": {\"update\": {\"height\": {\"signal\": \"childHeight\"}, \"width\": {\"signal\": \"width\"}}}, \"marks\": [{\"type\": \"symbol\", \"name\": \"concat_2_layer_0_marks\", \"from\": {\"data\": \"data_2\"}, \"encode\": {\"update\": {\"stroke\": {\"value\": \"#4c78a8\"}, \"opacity\": {\"value\": 0.7}, \"x\": {\"field\": \"sepal length (cm)\", \"scale\": \"concat_2_x\"}, \"fill\": {\"value\": \"transparent\"}, \"y\": {\"field\": \"petal length (cm)\", \"scale\": \"concat_2_y\"}}}, \"style\": [\"point\"]}, {\"type\": \"line\", \"name\": \"concat_2_layer_1_marks\", \"from\": {\"data\": \"source_2\"}, \"sort\": {\"field\": \"x\"}, \"encode\": {\"update\": {\"y\": {\"field\": \"y_pred\", \"scale\": \"concat_2_y\"}, \"defined\": {\"signal\": \"isValid(datum[\\\"sepal length (cm)\\\"]) && isFinite(+datum[\\\"sepal length (cm)\\\"]) && isValid(datum[\\\"y_pred\\\"]) && isFinite(+datum[\\\"y_pred\\\"])\"}, \"x\": {\"field\": \"sepal length (cm)\", \"scale\": \"concat_2_x\"}, \"stroke\": {\"value\": \"#4c78a8\"}}}, \"style\": [\"line\"]}], \"axes\": [{\"scale\": \"concat_2_x\", \"aria\": false, \"maxExtent\": 0, \"minExtent\": 0, \"grid\": true, \"domain\": false, \"orient\": \"bottom\", \"gridScale\": \"concat_2_y\", \"ticks\": false, \"zindex\": 0, \"labels\": false, \"tickCount\": {\"signal\": \"ceil(width/40)\"}}, {\"scale\": \"concat_2_y\", \"orient\": \"left\", \"grid\": true, \"domain\": false, \"maxExtent\": 0, \"minExtent\": 0, \"zindex\": 0, \"ticks\": false, \"labels\": false, \"gridScale\": \"concat_2_x\", \"tickCount\": {\"signal\": \"ceil(childHeight/40)\"}, \"aria\": false}, {\"scale\": \"concat_2_x\", \"title\": \"sepal length (cm)\", \"zindex\": 0, \"grid\": false, \"orient\": \"bottom\", \"labelOverlap\": true, \"tickCount\": {\"signal\": \"ceil(width/40)\"}, \"labelFlush\": true}, {\"scale\": \"concat_2_y\", \"title\": \"petal length (cm), y_pred\", \"labelOverlap\": true, \"orient\": \"left\", \"grid\": false, \"tickCount\": {\"signal\": \"ceil(childHeight/40)\"}, \"zindex\": 0}], \"title\": {\"text\": [\"Linear Regression: petal length (cm) ~ sepal length (cm) + bias\", \"<Segment = virginica>\"], \"align\": \"center\", \"subtitle\": \"y = 0.7501 * x + 0.6105, r2 = 0.7469\", \"frame\": \"group\"}, \"style\": \"cell\"}], \"scales\": [{\"name\": \"concat_0_x\", \"type\": \"linear\", \"domain\": {\"fields\": [{\"data\": \"data_0\", \"field\": \"sepal length (cm)\"}, {\"data\": \"source_0\", \"field\": \"sepal length (cm)\"}]}, \"range\": [0, {\"signal\": \"width\"}], \"zero\": false, \"nice\": true}, {\"name\": \"concat_0_y\", \"type\": \"linear\", \"domain\": {\"fields\": [{\"data\": \"data_0\", \"field\": \"petal length (cm)\"}, {\"data\": \"source_0\", \"field\": \"y_pred\"}]}, \"range\": [{\"signal\": \"childHeight\"}, 0], \"nice\": true, \"zero\": true}, {\"name\": \"concat_1_x\", \"type\": \"linear\", \"domain\": {\"fields\": [{\"data\": \"data_1\", \"field\": \"sepal length (cm)\"}, {\"data\": \"source_1\", \"field\": \"sepal length (cm)\"}]}, \"range\": [0, {\"signal\": \"width\"}], \"nice\": true, \"zero\": false}, {\"name\": \"concat_1_y\", \"type\": \"linear\", \"domain\": {\"fields\": [{\"data\": \"data_1\", \"field\": \"petal length (cm)\"}, {\"data\": \"source_1\", \"field\": \"y_pred\"}]}, \"range\": [{\"signal\": \"childHeight\"}, 0], \"nice\": true, \"zero\": true}, {\"name\": \"concat_2_x\", \"type\": \"linear\", \"domain\": {\"fields\": [{\"data\": \"data_2\", \"field\": \"sepal length (cm)\"}, {\"data\": \"source_2\", \"field\": \"sepal length (cm)\"}]}, \"range\": [0, {\"signal\": \"width\"}], \"zero\": false, \"nice\": true}, {\"name\": \"concat_2_y\", \"type\": \"linear\", \"domain\": {\"fields\": [{\"data\": \"data_2\", \"field\": \"petal length (cm)\"}, {\"data\": \"source_2\", \"field\": \"y_pred\"}]}, \"range\": [{\"signal\": \"childHeight\"}, 0], \"zero\": true, \"nice\": true}], \"layout\": {\"padding\": 20, \"columns\": 1, \"bounds\": \"full\", \"align\": \"each\"}, \"width\": 300, \"padding\": 5, \"config\": {\"autosize\": \"pad\"}, \"background\": \"white\"}, {\"mode\": \"vega\"});\n",
        "</script>"
       ],
       "text/plain": [
diff --git a/examples/pipeline.ipynb b/examples/pipeline.ipynb
index ce33b386..7a137b34 100644
--- a/examples/pipeline.ipynb
+++ b/examples/pipeline.ipynb
@@ -1079,7 +1079,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.12.6"
+   "version": "3.11.8"
   }
  },
  "nbformat": 4,
diff --git a/python/polars_ds/diagnosis.py b/python/polars_ds/diagnosis.py
index 7785f46f..361457b3 100644
--- a/python/polars_ds/diagnosis.py
+++ b/python/polars_ds/diagnosis.py
@@ -69,6 +69,9 @@ def _plot_lstsq(
 
             xx = pl.col(x)
             yy = pl.col(target)
+            # Although using query_simple_lstsq might seem to be able to reduce some code here,
+            # it adds complexity because of output type and the r2 query.
+            # A little bit of code dup is reasonable.
             if add_bias:
                 if weights is None:
                     x_mean = xx.mean()
diff --git a/python/polars_ds/query_linear.py b/python/polars_ds/query_linear.py
index e369c3e3..627eb7e9 100644
--- a/python/polars_ds/query_linear.py
+++ b/python/polars_ds/query_linear.py
@@ -7,6 +7,7 @@
 
 __all__ = [
     "query_lstsq",
+    "query_simple_lstsq",
     "query_lstsq_report",
     "query_rolling_lstsq",
     "query_recursive_lstsq",
@@ -29,8 +30,61 @@ def query_simple_lstsq(
     x: str | pl.Expr,
     target: str | pl.Expr,
     add_bias: bool = False,
+    weights: str | pl.Expr | None = None,
+    return_pred: bool = False,
 ) -> pl.Expr:
-    pass
+    """
+    Simple least square with 1 predictive variable and 1 target.
+
+    Parameters
+    ----------
+    x : str | pl.Expr
+        The variables used to predict target
+    target : str | pl.Expr
+        The target variable
+    add_bias
+        Whether to add a bias term
+    weights
+        Whether to perform a weighted least squares or not.
+    return_pred
+        If true, return prediction and residue. If false, return coefficients. Note that
+        for coefficients, it reduces to one output (like max/min), but for predictions and
+        residue, it will return the same number of rows as in input.
+    """
+    # No test. All forumla here are mathematically correct.
+    xx = lr_formula(x)
+    yy = lr_formula(target)
+    if add_bias:
+        if weights is None:
+            x_mean = xx.mean()
+            y_mean = yy.mean()
+            beta = (xx - x_mean).dot(yy - y_mean) / (xx - x_mean).dot(xx - x_mean)
+            alpha = y_mean - beta * x_mean
+        else:
+            w = lr_formula(weights)
+            w_sum = w.sum()
+            x_wmean = w.dot(xx) / w_sum
+            y_wmean = w.dot(yy) / w_sum
+            beta = w.dot((xx - x_wmean) * (yy - y_wmean)) / (w.dot((xx - x_wmean).pow(2)))
+            alpha = y_wmean - beta * x_wmean
+
+        if return_pred:
+            return pl.struct(pred=beta * xx + alpha, resid=yy - (beta * xx + alpha)).alias(
+                "lstsq_pred"
+            )
+        else:
+            return (beta.append(alpha)).implode().alias("lstsq_coeffs")
+    else:
+        if weights is None:
+            beta = xx.dot(yy) / xx.dot(xx)
+        else:
+            w = lr_formula(weights)
+            beta = w.dot(xx * yy) / w.dot(xx.pow(2))
+
+        if return_pred:
+            return pl.struct(pred=beta * xx, resid=yy - (beta * xx)).alias("lstsq_pred")
+        else:
+            return beta.implode().alias("lstsq_coeffs")
 
 
 def query_lstsq(
@@ -51,8 +105,10 @@ def query_lstsq(
     If both are > 0, then this is elastic net regression. If none of the cases above is true, as is the default case,
     then a normal regression will be performed.
 
-    If add_bias is true, it will be the last coefficient in the output
-    and output will have len(variables) + 1.
+    If add_bias is true, it will be the last coefficient in the output and output will have len(variables) + 1.
+
+    If you only want to do simple lstsq (one predictive x variable and one target) and null policy doesn't matter,
+    then `query_simple_lstsq` is a faster alternative.
 
     Memory hint: if data takes 100MB of memory, you need to have at least 200MB of memory to run this.
 
@@ -122,7 +178,7 @@ def query_lstsq(
                     args=cols,
                     kwargs=multi_target_lr_kwargs,
                     pass_name_to_apply=True,
-                )
+                ).alias("lstsq_preds")
             else:
                 return pl_plugin(
                     symbol="pl_lstsq_multi",
@@ -130,7 +186,7 @@ def query_lstsq(
                     kwargs=multi_target_lr_kwargs,
                     returns_scalar=True,
                     pass_name_to_apply=True,
-                )
+                ).alias("lstsq_coeffs")
     else:
         weighted = weights is not None
         lr_kwargs = {
@@ -156,7 +212,7 @@ def query_lstsq(
                 args=cols,
                 kwargs=lr_kwargs,
                 pass_name_to_apply=True,
-            )
+            ).alias("lstsq_pred")
         else:
             return pl_plugin(
                 symbol="pl_lstsq",
@@ -164,7 +220,7 @@ def query_lstsq(
                 kwargs=lr_kwargs,
                 returns_scalar=True,
                 pass_name_to_apply=True,
-            )
+            ).alias("lstsq_coeffs")
 
 
 def query_lstsq_w_rcond(

From cb3bf1e5b2776b28fd028278c401bcb61031bdf6 Mon Sep 17 00:00:00 2001
From: abstractqqq <tq9695@gmail.com>
Date: Fri, 18 Oct 2024 20:41:35 -0400
Subject: [PATCH 3/3] removed an unnecessary test

---
 tests/test_many.py | 18 ------------------
 1 file changed, 18 deletions(-)

diff --git a/tests/test_many.py b/tests/test_many.py
index 4c4cee9d..372c3ba1 100644
--- a/tests/test_many.py
+++ b/tests/test_many.py
@@ -476,24 +476,6 @@ def test_jaccard_row(df, res):
     )
 
 
-# Hard to write generic tests because ncols can vary in X
-def test_lstsq():
-    df = pl.DataFrame({"y": [1, 2, 3, 4, 5], "a": [2, 3, 4, 5, 6], "b": [-1, -1, -1, -1, -1]})
-    res = pl.DataFrame({"y": [[1.0, 1.0]]})
-    assert_frame_equal(
-        df.select(pds.query_lstsq(pl.col("a"), pl.col("b"), target="y", add_bias=False)), res
-    )
-
-    df = pl.DataFrame(
-        {
-            "y": [1, 2, 3, 4, 5],
-            "a": [2, 3, 4, 5, 6],
-        }
-    )
-    res = pl.DataFrame({"y": [[1.0, -1.0]]})
-    assert_frame_equal(df.select(pds.query_lstsq(pl.col("a"), target="y", add_bias=True)), res)
-
-
 def test_lstsq_against_sklearn():
     # Random data + noise
     df = (