Activity: Building a Third-Order Polynomial Model

Shifting our attention back to the Boston housing dataset, we would like to build a third-order polynomial model to compare against the linear one. Recall the actual problem we are trying to solve: predicting the median house value, given the lower class population percentage. This model could benefit a prospective Boston house purchaser who cares about how much of their community would be lower class.

Use scikit-learn to fit a polynomial regression model to predict the median house value (MEDV), given the LSTAT values. We are hoping to build a model that has a lower mean squared error (MSE).