1- Read the dataset in Boston. csv into R. Call the loaded data Boston. Make sure that you have the directory set to the correct location for the data.2.
2- The response is nox and the predictor is dis. Use the poly() function to fit a cubic polynomial regression to predict nox using dis. Report the regression output.
3- Your assistant business analyst, Tom Johnson, is considering predicting nox using dis as a predictor. He proposes models from degree 5, degree 4, and degree 3, and degree 2 polynomial regression. Please perform cross-validation using caret package to select the optimal degree for the polynomial and justify your answer.
4- Recommend that he perform the following GAM analysis.
Predict nox using a smoothing spline of degree 3 in dis and a smoothing spline of degree 2 in medv.
Predict nox using a smoothing spline of degree 2 in dis and a smoothing spline of degree 1 in medv.
Perform anova analysis. Recommend the best model and justify your answer.