In Problem 13.4 on page 528, you used the percentage of alcohol to predict wine quality. Perform a..

In Problem 13.4 on page 528, you used the
percentage of alcohol to predict wine quality. Perform a residual analysis for
these data (stored in VinhoVerde ). Evaluate whether the assumptions of
regression have been seriously violated.

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Problem 13.4

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 (%).

a. Construct a scatter plot. For these data,
b0 = -0.3529 and b1 = 0.5624.

b. Interpret the meaning of the slope, b1,
in this problem.

c. Predict the mean wine quality for wines
with a 10% alcohol content.

d. What conclusion can you reach based on
the results of (a)–(c)?