Suppose that we are interested in predicting weight of students based on height. We have run a regression analysis with the resulting estimated regression equation as follows: “The estimated weight equals (–180 pounds) plus (5 pounds times the height in inches).”

a. Suppose that one student is 3 inches taller than another student. What is the estimated difference in weight?

b. Suppose that a given student is 65 inches tall. What is the estimated weight?

c. Suppose that the regression equation above was based on a sample of students ranging in height from 60 to 75 inches. Now estimate the height of a 48-inch-tall student. Comment.

d. Explain clearly the meaning of the 5 in the equation above.

e. Explain clearly the meaning of the –180 in the equation above.