Question: Thank you!! Continuing with the data in Appendix B.11, which gives predictors for the quality of a wine: The ANOVA table and coefficients table for

Thank you!!

Thank you!! Continuing with the data in Appendix B.11, which gives predictorsfor the quality of a wine: The ANOVA table and coefficients tablefor the regression of quality on aroma, body, flavor, and oakiness are

Continuing with the data in Appendix B.11, which gives predictors for the quality of a wine: The ANOVA table and coefficients table for the regression of quality on aroma, body, flavor, and oakiness are given below. Source SS df MS F-value p-value Regression 109.08 4 27.271 19.689 0 . 000 Error 45 . 71 33 1. 385 Total 154.79 37 Term Coeff SE Coef T-value p-Value Constant 6 . 2667 1. 4833 4. 225 0 . 000 aroma 0 . 5682 0 . 2682 2. 118 0 . 042 body 0 . 1016 0 . 3110 0. 327 0. 746 flavor 1 . 1567 0 . 3081 3. 754 0 . 001 oakiness -0 . 6053 0 . 2681 -2. 258 0 . 031 a) (3) Perform the global test of H.: B,=0 for all j=1,...,4 against HA: P,#0 for some j at a=0.05. Record the value of the test statistic, the critical value (or p-value), and your conclusion in terms of the usefulness of this model to predict wine quality. b) (4) Determine R' and Rad; for this model. How well does the model predict wine quality? c) (3) Below is the output for a regression of wine quality on just the predictors of aroma, flavor,and oakiness. Calculate Rid,- for this model. Comparing this value to those of part (b), does the variable body seem to add much explanatory power to our model? Source 85 df MS F-value p-value Regression 198.94 3 36.312 26.925 9.999 Error 45.85 34 1.349 Total 154.79 37 \f

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