Data were obtained about men belonging to a gym. The men had an average height of 69 inches with an SD of 3 inches, and they had an average weight of 180 pounds, with an SD of 20 pounds. The correlation between height and weight was r=0.43. A scatterplot was made of the data with height on the horizontal axis and weight on the vertical axis; it was football shaped. a) Using the regression line, a man who is 6 feet tall is predicted to weigh ____ pounds. The typical size of the errors for predictions made using the regression line is ____ pounds. b) What percent of all the men weigh more than 200 pounds? c) What percent of men that are 6 feet tall weigh more than 200 pounds? d) A man has a height that is at the 99.725th percentile of the distribution for height. This means that his height is approximately __ SD(s) above average. Using regression, we can predict that his weight will be approximately __ SD(s) above average. Therefore, he is predicted to have a weight at the __ percentile of the distribution for weight. e) One man was both one SD above average in height and one SD above average in weight. His weight was (circle one) (i) larger than (ii) smaller than (iii) equal to the average weight of all men of his height in the study