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 weight ___ 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.