7. Suppose that a random sample of 200 twenty-year-old men is selected from a population and that their heights and weights are recorded. A regression of weight (measured in pounds) on height (measured in inches) yields weight; = (-102.3923) +4.0582. height (a) What is the predicted value for someone who is 70 inches tall? (b) If a man grows 1.5 inches over the course of a year, what is the regression's prediction for the increase in his weight? (c) Suppose that instead of measuring weights in pounds, we use kilograms (1 lb = 0.4536 kg). What are the values of the intercept and the slope in a regression of weight (measured in kilograms) on height (measured in inches)? (d) Suppose that instead of measuring heights in inches, we use centimeters (1 in = 2.54 cm). What are the values of the intercept and the slope in a regression of weight (measured in pounds) on height (measured in centimeters)? (e) What are the values of the intercept and the slope in a regression of weight (measured in kilo- grams) on height (measured in centimeters)?