The production of wine is amultibillion-dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wineexperts, data was collected from red wine variants. A sample of 20 wines is provided in the accompanying table. Develop a multiple linear regression model to predict winequality, measured on a scale from 0(very bad) to 10(excellent) based on alcohol content(%) and the amount of chlorides. Complete parts a through g below.

State the multiple regression equation. Let X1i represent the alcohol content(%) of wine i and let X2i represent the number of chlorides for wine i.

Interpret the meaning of theslopes, b1 and b2, in this problem.

Explain why the regressioncoefficient, b0, has no practical meaning in the context of this problem.

Predict the mean quality rating for wines that have 8% alcohol content and chlorides of 0.10.

Construct a95% confidence interval estimate for the mean quality rating for wines that have 8% alcohol and 0.10 chlorides.

Construct a95% prediction interval estimate for the quality rating for an individual wine that has 8% alcohol and 0.10 chlorides.

What conclusions can you reach concerning this regressionmodel?

Quality Alcohol_Content(%) Chlorides

1 7.1 0.067

0 7.8 0.066

1 8.4 0.073

1 7.5 0.072

3 8.3 0.069

3 9.5 0.075

3 8.7 0.077

5 9.7 0.073

5 10.8 0.078

5 10.5 0.083

6 10.3 0.075

7 10.9 0.082

7 10.7 0.083

8 11.4 0.087

6 11.4 0.096

9 11.6 0.092

9 12.4 0.136

9 12.4 0.105

10 12.1 0.155

9 12.1 0.157