Consider the National Football League data in Exercise 11-5.

(a) Test for significance of regression using α = 0.01. Find the P-value for this test. What conclusions can you draw?

(b) Estimate the standard errors of the slope and intercept. 

(c) Test H₀: β₁ = 10 versus H₁: β₁ ≠ 10 with α = 0.01. Would you agree with the statement that this is a test of the hypothesis that a one-yard increase in the average yards per attempt results in a mean increase of 10 rating points?

Exercise 11-5

See Table E11-1 for data on the ratings of quarterbacks for the 2008 National Football League season (The Sports Network). It is suspected that the rating (y) is related to the average number of yards gained per pass attempt (x).