Question: Table B.1 gives data concerning the performance of the 26 National Football League teams in 1976. It is suspected that the number of yards gained

Table B.1 gives data concerning the performance of the 26 National Football League teams in 1976. It is suspected that the number of yards gained rushing by opponents ( x8 ) has an effect on the number of games won by a team ( y ).

a. Fit a simple linear regression model relating games won y to yards gained rushing by opponents x8 .

b. Construct the analysis - of - variance table and test for signifi cance of regression.

c. Find a 95% CI on the slope.

d. What percent of the total variability in y is explained by this model?

e. Find a 95% CI on the mean number of games won if opponents ’ yards rushing is limited to 2000 yards.

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