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
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 7.6 0.064
2 7.6 0.067
3 8.8 0.071
3 7.7 0.075
1 8.1 0.066
2 9.3 0.071
2 8.6 0.075
3 9.2 0.071
5 10.8 0.076
5 10.2 0.084
7 10.8 0.081
7 10.8 0.078
7 10.7 0.084
7 11.9 0.089
8 11.3 0.096
7 11.3 0.099
9 11.9 0.148
8 11.7 0.149
9 12.5 0.155
10 12.9 0.158
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.
Yi=_____+_____X1i+________X2i
(Round to two decimal places as needed.)
Predict the mean quality rating for wines that have 10% alcohol content and chlorides of
0.07.
The wine quality prediction for a wine that has 10% alcohol and 0.07 chlorides is _________
(Round to two decimal places as needed.)
Construct a 95% confidence interval estimate for the mean quality rating for wines that have
10% alcohol and 0.07 chlorides.The 95% confidence interval estimate of the mean quality rating for wines that have 10% alcohol and0.07
chlorides is _______ to ________.
(Round to one decimal place as needed.)
Construct a 95% prediction interval estimate for the quality rating for an individual wine that has
10% alcohol and 0.07 chlorides.The 95% prediction interval estimate of the quality rating for an individual wine that has 10% alcohol and 0.07 chlorides is _____ to _____.
(Round to one decimal place as needed.)
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