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Regression analysis of free throws by 29 NBA teams during the 2002-2003 season revealed the fitted regression Y = 55.2 + .73X (R2 = .874, Sxy = 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? Hint: make scatter plot and let Excel fit the line.
c) Use the quick rule to make a 95 percent prediction interval for Y when X = 2,000 freethrows.
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