Question 3 [10 Points] Consider a study investigating the relationship between husband's height and wife's height in young couples. The mean height of wives (x) in their thirties participating in the study is about 64.2 inches, and the standard deviation is about 3.1 inches. The mean height of husbands (y) the same age is about 71.3 inches, with a standard deviation of about 2.4 inches. Suppose that the correlation between the heights of husbands and wives is about r = 0.52. a. [3 Points] What are the slope and intercept of the regression line of the husband's height on the wife's height in young couples? Interpret the slope in the context of the problem. b. [4 Points] Draw a graph, by hand, of this regression line for heights of wives between 55 and 70 inches. Predict the height of the husband of a woman who is 67 inches tall and plot the wife's height and predicted husband's height on your graph. c. [3 Points] What percentage of the variation in husband's height is explained by the straight-line relationship with wife's height? Do you expect the prediction made in part b) to be accurate?