Chapter 13, Problem 58PS

In Problem 13.4 on page 493, you used the percentage of alcohol to predict wine quality. The data are stored in VinhoVerde. For these data, $S_{YX}=0.9369$ and $h_i=0.024934$ $X=10.$

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

b. Construct a $95\%$ prediction interval of the wine quality rating of an individual wine that has $10\%$ alcohol.

c. Explain the difference in the result in (a) and (b),