The quality of Pinot Noir wine is thought to be related to the properties of clarity, aroma, body, flavor, and oakiness. Data for 38 wines are given in Table B. 11 .

a. Fit a multiple linear regression model relating wine quality to these regressors.

b. Test for significance of regression. What conclusions can you draw?

c. Use $t$ tests to assess the contribution of each regressor to the model. Discuss your findings.

d. Calculate $R^{2}$ and $R_{\text {Adj }}^{2}$ for this model. Compare these values to the $R^{2}$ and $R_{\text {Adj }}^{2}$ for the linear regression model relating wine quality to aroma and flavor. Discuss your results.

e. Find a $95 %$ CI for the regression coefficient for flavor for both models in part d. Discuss any differences.

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