In Problem 12 4 on page 423 you used the percentage
In Problem 12.4 on page 423, you used the percentage of alcohol to predict wine quality. The data are stored in VinhoVerde. From the results of that problem, b1 = 0.5624 and Sb1 = 0.1127.
a. At the 0.05 level of significance, is there evidence of a linear relationship between the percentage of alcohol and wine ­quality?
b. Construct a 95% confidence interval estimate of the population slope, β1.
In problem 12.4
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. (Data ­extracted from P. Cortez, Cerdeira, A., Almeida, F., Matos, T., and Reis, J., “ Modeling Wine Preferences by Data Mining from Physiochemical Properties,” Decision Support Systems, 47, 2009, pp. 547– 553 and bit. ly/ 9xKlEa.) A sample of 50 wines is stored in VinhoVerde . Develop a simple linear regression model to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent), based on alcohol content (%).
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