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, b 1 0 5624 and Sb 1 0 1127 a At the 0 05 level of significance, is there evidence of a linear relationship between the percentage of alcohol an...

a H 0 1 0 H 1 1 0 Coefficients Standard Error t Stat Pvalue Lower 95 Upper 9 ...

In Problem 12.4 on page 423, you used the percentage of alcohol to predict wine quality. The

Question:

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. 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 (%).