Refer to Exercise 35 for a description of a study about beer froth. Let y be the mean height (in centimeters) of froth for a Budweiser Budvar x minutes after having been poured.

a. Construct a scatterplot that compares values of x and y.
b. Find the regression equation that models the association between x and y.
c. Describe the four characteristics of the association between x and y. Compute and interpret an appropriate correlation coefficient as part of your analysis.
d. Compute the coefficient of determination for the model. What does it mean in this situation?
e. Imagine a scatterplot that compares the values of x to the individual heights of froth, rather than the mean heights of froth. Would there be more or less scatter (spread) than in the scatterplot you constructed in part (a)? Would the coefficient of determination be larger or smaller? Explain.

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Table 56 Times and Mean Heights of Beer Froth Mean Height of Froth (centimeters) Time minutes) Weissbier Erdinger Augustinerbräu Budweiser Budvar 14.0 9.3 20 170 3.2 10.7 8.9 7.5 München 14.0 8.5 6.0 4.4 2.9 1.3 0.7 3.5 2.0 0.9 5.2