Refer to Exercise 35 for a description of a study about beer froth. Let y be the mean height (in centimeters) of froth for an Augustinerbräu München 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. Use the model to predict the mean height of froth 4 minutes after an Augustinerbräu München is poured.
e. Find the residual for your prediction in part (d). What does it mean in this situation?

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Table 56 Times and Mean Heights of Beer Froth Mean Height of Froth (centimeters) Time minutes) Weissbier Erdinger Augstinerbräu Budweiser München 14.0 8.5 6.0 4.4 2.9 1.3 0.7 170 13.2 10.7 8.9 7.5 6.3 5.2 Budvar 14.0 9.3 20 5.5 3.5 2.0 0.9