Diamonds. Use the data in Table 28.4 (page 28-35) to fit the multiple regression model with two explanatory variables, Carat and Depth, to predict the Total Price of diamonds. Don't forget to include the interaction term in your model.
(a) Identify the estimated multiple regression equation.
(b) Conduct the overall F test for the model.
(c) Identify the estimated regression parameters, standard errors, and t statistics with P-values.
(d) Prepare residuals plots and comment on whether the conditions for inference are satisfied.
(e) What percent of variation in Total Price is explained by this model?
(f) Find an estimate for σ and interpret this value.
