Exercise 4.1(a) from Regression Analysis by Example, 5th EDITION, by Chatterjee & Hadi Check to see whether or not the standard regression assumptions are valid for the following data set: The Milk Production data described in Section 1.3.1 and available in the variable P004. Use at least one of each of the following graphs and comment about the decision you make based on that graph. Note that different students might choose different subsets of the available predictors for their model (or decide to include all of the predictors). Use these graphs to help you choose which predictors to include. In this part, include all predictors in the model (a) Pairwise scatterplots (and correlations) of all predictors with response and eachother (b) Scatterplot of standardized residuals vs. fitted values (c) Scatterplot of standardized residuals vs. at least one predictor Now, choose a set of predictors based on the graphs above and make clear why you chose this set of predictors. Fit your chosen model to data and diagnose using the following graphs (d) Scatterplot of standardized residuals vs. fitted values (e) Normal quantile plot of the standardized residuals