Chapter 14, Problem 5PS

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 of Portuguese “Vinho Verde� wine. A sample of 50 wines is stored in VinhoVerde. 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.

a. State the multiple regression equation.

b. Interpret the meaning of the slopes, $b_1$ and $b_2,$ in this problem.

c. Explain why are regression coefficient, $b_{0,}$ has no practical meaning in the context of this problem.

d. Predict the mean wine quality rating for wines that have $10\%$ alcohol and chlorides of 0.08.

e. Construct a $95\%$ confidence interval estimate for the mean wine quality rating for wings that have $10\%$ alcohol chlorides of 0.08.

f. Construct a $95\%$ prediction interval for the wine quality rating for an individual wine that has $10\%$ alcohol and chlorides of 0.08.

g. What conclusions can you reach concerning this regression model?