Homes for Sale. Following are the size and price data for resale homes from Exercise 15.24.

x 2500 1346 5000 1250 1700 1937 2200 2249 2500 y 458.5 447.0 695.0 114.9 158.8 349.9 369.0 425.0 469.0

a. Determine a point estimate for the mean price of all homes with 2000-sq. ft. living room size.

b. Find a 99% confidence interval for the mean price of all homes with 2000-sq. ft. living room size.

c. Find the predicted price of a home with 2000-sq.ft. living room size.

d. Determine a 99% prediction interval for the price of a home with 2000-sq.ft. living room size.