Project 1: Polynomial Curve Fitting

In this project you will generate and plot three polynomials with three different noise levels. Then you will use the least squares method to approximate the original polynomial from the noisy data.

Then you will download three data sets. You plot these. You will try to find the polynomial that is the best fit, without knowing the degree of the original polynomial.

You need to have a well written narrative that connects the mathematics and the graphs. I do not want to just see a lot of graphs and equations without any clue to what they mean. This means using complete sentences organized into paragraphs.

The first link below tells how to make polynomials and noise. The next link gives the least squares method for Maple. Then there are three data sets.