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Clarity Aroma Body Flavor Oakiness Quality Region

1 3.3 2.8 3.1 4.1 9.8 1

1 4.4 4.9 3.5 3.9 12.6 1

1 3.9 5.3 4.8 4.7 11.9 1

1 3.9 2.6 3.1 3.6 11.1 1

1 5.6 5.1 5.5 5.1 13.3 1

1 4.6 4.7 5 4.1 12.8 1

1 4.8 4.8 4.8 3.3 12.8 1

1 5.3 4.5 4.3 5.2 12 1

1 4.3 4.3 3.9 2.9 13.6 3

1 4.3 3.9 4.7 3.9 13.9 1

1 5.1 4.3 4.5 3.6 14.4 3

0.5 3.3 5.4 4.3 3.6 12.3 2

0.8 5.9 5.7 7 4.1 16.1 3

0.7 7.7 6.6 6.7 3.7 16.1 3

1 7.1 4.4 5.8 4.1 15.5 3

0.9 5.5 5.6 5.6 4.4 15.5 3

1 6.3 5.4 4.8 4.6 13.8 3

1 5 5.5 5.5 4.1 13.8 3

1 4.6 4.1 4.3 3.1 11.3 1

0.9 3.4 5 3.4 3.4 7.9 2

0.9 6.4 5.4 6.6 4.8 15.1 3

1 5.5 5.3 5.3 3.8 13.5 3

0.7 4.7 4.1 5 3.7 10.8 2

0.7 4.1 4 4.1 4 9.5 2

1 6 5.4 5.7 4.7 12.7 3

1 4.3 4.6 4.7 4.9 11.6 2

1 3.9 4 5.1 5.1 11.7 1

1 5.1 4.9 5 5.1 11.9 2

1 3.9 4.4 5 4.4 10.8 2

1 4.5 3.7 2.9 3.9 8.5 2

1 5.2 4.3 5 6 10.7 2

0.8 4.2 3.8 3 4.7 9.1 1

1 3.3 3.5 4.3 4.5 12.1 1

1 6.8 5 6 5.2 14.9 3

0.8 5 5.7 5.5 4.8 13.5 1

0.8 3.5 4.7 4.2 3.3 12.2 1

0.8 4.3 5.5 3.5 5.8 10.3 1

0.8 5.2 4.8 5.7 3.5 13.2 1

3.10 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 8.11. a. (1 pts.) Fit a multiple linear regression model relating wine quality to these regressors. State the model. b. (2 pts.) Test for significance of regression. What conclusions can you draw? In your discussion include the hypotheses, decision and conclusion. c. (3 pts.) Usettests to assess the contribution of each regressorto the model. Discuss yourfindings. In your discussion include the hypotheses, decision and conclusion. d. (4 pts.) Calculate R2 and R2 adjusted for this model. Compare these values to the R2 and R2 adjusted for the linear regression model relating wine quality to aroma and flavor. Discuss your results. e. (4 pts.) Find a 95 0/0 CI for the regression coefficient for flavor for both models in part d. Discuss any differences. CO. E] Sheet1 D Source EColumns (7/0) A Clarity A Aroma A Body A Flavor A Oakiness A Quality A Region 2] Flows All rows 3 Selected Excluded Hidden 00003 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 0.7 0.7 1 5.5 4.7 4.1 6 4.3 3.9 5.1 3.9 4.5 5.2 4.2 3.3 6.8 5 3.5 4.3 5.2 Sheet1 5.3 4.1 4 5.4 4.6 4 4.9 4.4 3.7 4.3 3.8 3.5 5 5.7 4.7 5.5 4.8 5.3 5 4.1 5.7 4.7 5.1 5 5 2.9 5 3 4.3 6 5.5 4.2 3.5 5.7 3.8 3.7 4 4.7 4.9 5.1 5.1 4.4 3.9 6 4.7 4.5 5.2 4.8 3.3 5.8 3.5 13.5 10.8 9.5 12.7 11.6 11.7 11.9 10.8 8.5 10.7 9.1 12.1 14.9 13.5 12.2 10.3 13.2 Clarity Aroma Body Flavor Oakiness Quality Region -|-l-l-|-CD-|-lNMMN-LMODMMOD