In a certain demographic group, the average height for men is 68 inches, with standard deviation 4 inches. The average weight is 185 lbs., with standard deviation 25 lbs. The correlation between height and weight is =0.4.a. How heavy would you expect a 6-foot-tall (i.e. 72 inches) man to be?b. How tall do you expect a man to be, who weighs 200 lbs.?c. If a man is one standard deviation lighter than average, how many standard deviations taller or shorter than average do you expect him to be?d. What fraction of the variation in weight is associated with variation in height?