Ideal height of your mate. Refer to the Chance (Summer 2008) study of the height of the ideal mate, Exercise 11.33

(p. 629). The data were used to fit the simple linear regression model, E1y2 = b0 + b1x, where y = ideal partner’s height (in inches) and x = student’s height (in inches). One model was fitted for male students and one model was fitted for female students. Consider a student who is 66 inches tall.

a. If the student is a female, use the model to predict the height of her ideal mate. Form a 95% confidence interval for the prediction and interpret the result.

b. If the student is a male, use the model to predict the height of his ideal mate. Form a 95% confidence interval for the prediction and interpret the result.

c. Which of the two inferences, parts a and

b, may be invalid? Why?