Question: Regression analysis of free throws by 29 NBA teams during the 2002-2003 season revealed the fitted regression \(Y=55.2+.73 X\left(R^{2}=.874, s_{y x}=53.2\right)\) 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 a scatter plot and let Excel fit the line. (c) Use the quick rule to make a 95 percent prediction interval for \(Y\) |when \(X=2,000\)

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