Refer to Example 11 on winning Olympic high jumps. The prediction equation relating y = winning height (in meters) as a function of x1 = number of years since 1928 and x2 = gender (1 = male, 0 = female) is = 1.63 + 0.0057x1 + 0.348x2.
a. Using this equation, find the prediction equations relating winning height to year, separately for males and for females.
b. Find the predicted winning height in 2012 for
(i) Females,
(ii) Males, and show how the difference between them relates to a parameter estimate for the model.