The production of wine is a​ multibillion-dollar worldwideindustry. In an attempt to develop a model of wine quality asjudged by wine​ experts, data was collected from red wine variants.A sample of 20 wines is provided in the accompanying table. Developa multiple linear regression model to predict wine​ quality,measured on a scale from 0​ (very bad) to 10​ (excellent) based onalcohol content​ (%) and the amount of chlorides. Complete parts athrough g below.
Quality  Alcohol_Content(%)  Chlorides
2Â Â 7.7Â Â 0.067
1Â Â 7.9Â Â 0.065
3Â Â 8.2Â Â 0.074
1Â Â 8.7Â Â 0.071
2Â Â 8.5Â Â 0.067
4Â Â 8.7Â Â 0.074
4Â Â 9.4Â Â 0.071
3Â Â 9.1Â Â 0.076
6Â Â 10.1Â Â 0.077
5Â Â 10.4Â Â 0.078
7Â Â 10.3Â Â 0.078
6Â Â 11.1Â Â 0.083
7Â Â 11.3Â Â 0.081
8Â Â 11.5Â Â 0.085
6Â Â 11.8Â Â 0.095
7Â Â 11.3Â Â 0.093
7Â Â 12.5Â Â 0.128
8Â Â 11.5Â Â 0.111
10Â Â 12.2Â Â 0.157
10Â Â 12.8Â Â 0.156
1. Construct a​ 95% confidence interval estimate for the meanquality rating for wines that have 11​% alcohol and 0.08chlorides.
2. Construct a​ 95% prediction interval estimate for the qualityrating for an individual wine that has 11​% alcohol and 0.08chlorides.
