Refer to the Chance (Summer 2008) study of the height of the ideal mate, Exercise. You used the data in the IDHEIGHT file to fit the simple linear regression model E(y) = β0 + β1x, where y = ideal partner's height (in inches) and x = student's height (in inches), for both males and females. a. Find a 90% confidence interval for β1 in the model for the male students. Give a practical interpretation of the result. b. Repeat part a for the female students. c. Which group, males or females, has the greater increase in ideal partner's height for every 1 inch increase in student's height?