Question

The production of wine is a multibillion-dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine experts, 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 wine quality, 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.

Quality Alcohol_Content(%) Chlorides

0 7.1 0.061

0 7.6 0.063

2 8.8 0.066

3 8.7 0.068

2 8.8 0.067

4 8.6 0.072

3 8.8 0.072

3 9.1 0.071

6 10.8 0.085

6 10.2 0.083

6 10.5 0.076

7 11.4 0.075

5 11.3 0.084

8 11.6 0.083

8 11.1 0.093

8 11.4 0.097

8 12.2 0.136

8 11.6 0.147

10 12.3 0.159

9 12.2 0.155

a. 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.