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Homework 4

Instructions

Obtain the GitHub repository you will use to complete the homework assignment, which contains the starter Jupyter notebook file homework4.ipynb. The notebook template provides space for you to answer each question. Your notebook should run without error when you select Restart Kernel and Run All Cells:

When you’re done, save your file, then stage, commit, and push (upload) it to GitHub, and then follow the instructions in the How to submit section.

Questions

  1. Using the oscillator.py file included with your starter files, generate data for the length (meters) of a damped spring with respect to time (seconds). Use the default values when performing the simulation. After you’ve collected the simulation data, sample data from the simulation at larger intervals than the time step delta_t. Then, discover a polynomial summation model or some other function that best fits the sampled simulated data. You should use cross-validation to justify the model that you select.

  2. The Average Daily Temperature Archive (University of Dayton 2012) has datasets for the average daily temperatures over a period of several years for a number of cities in the United States along with others around the world. For your convenience, the dayton.py file included with your starter files provides two functions, download_data() and make_temperature_df(), to help you download and import the data. You only need to run download_data() once. After running download_data(), run make_temperature_data() in your Jupyter notebook to construct a pandas data frame containing all the available temperature data. Do not attempt to upload the raw data to GitHub!

    Fit the data for two different cities in the United States using a sine function. Compare the periods you obtained for the two sine functions. Does the result make sense? Explain what the period of the sine function means with respect to this dataset. You do not need to use cross-validation for this problem.

How to submit

To lock in your submission time, export your notebook to PDF and upload the PDF file to the assignment posting on Blackboard.

In addition, be sure to save, commit, and push your final result so that everything is synchronized to GitHub. I may want to inspect your source files directly and run your notebook, so it’s very important that the files in your homework repository match what I see in the PDF export uploaded to Blackboard.