12.47 Regression analysis of free throws by 29NBA teams during the 2002–2003 sea

Question

12.47 Regression analysis of free throws by 29NBA teams during the 2002–2003 season revealed the fittedregression Y = 55.2 + .73X (R2 = .874,syx = 53.2) where Y = total free throwsmade and X = total free throws attempted. The observedrange of X was from 1,620 (New York Knicks) to 2,382(Golden State Warriors). (a) Find the expected number of freethrows made for a team that shoots 2,000 free throws. (b) Do youthink that the intercept is meaningful? Hint: Make ascatter plot and let Excel fit the line. (c) Use the quick rule tomake a 95 percent prediction interval for Y whenX = 2,000. FreeThrows

Explanation / Answer

(a) Plug in X = 2000 in to the regressionequation

Y = 55.2 + 0.73(2000) = 1515.2

The expected number of free throws is 1515

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