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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, 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 kicks) 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 FREE THROWS

(a) Find the expected number of free throws made for a team that shoots 2,000 free throws.

Y = 55.2 +0 .73x = 55.2 + 0.73*2000 = 1515.2 ≈ 1515

The expected number of free throws made for a team that shoots 2,000 free throws is 1515.

(b) Do you think that the intercept is meaningful? (Hint: make a scatter plot and let excel fit the line.

No, the intercept is not meaningful. The reason for this is that the intercept value is 55.2 free throws made for no free throws attempted.

(c) Use the quick rule to make a 95 percent prediction interval for Y when X=2,000

Quick Rules for Prediction Intervals

=      (putting t = 2 for quick 95 percent prediction interval)

== (1894, 2106)

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