Regression analysis of free throws by 29 NBA teams during the 2002­2003 season revealed the fitted regression Y = 55.2 + .73X (R2 = .874, syx = 53.2), where Y = total free throws made and X = total free throws attempted. The observed range of X was from 1,620 (New York Knicks) to 2,382 (Golden State Warriors).
(a) Find the expected number of free throws made for a team that shoots 2,000 free throws.
(b) Do you think that the intercept is meaningful? Make a scatter plot and let Excel t the line.
(c) Use the quick rule to make a 95 percent prediction interval for Y when X = 2,000.