For the 1989 National Football League season ratings for the

For the 1989 National Football League season, ratings for the leading passers in the National Conference were as shown below. Also shown for each quarterback is the percentage of passes that were interceptions, along with the percentage of passes that were touchdowns.

Rating                    TD%                       Int %     

Montana, S.F.                      112.4                      6.7%                       2.1%

Everett, L.A.                         90.6                        5.6                          3.3

Rypien, Wash.                      88.1                        4.6                          2.7

Hebert, N.O. 82.7                        4.2                          4.2

Majkowski, G.B.                  82.3                        4.5                          3.3

Simms, N.Y. 77.6                        3.5                          3.5

Miller, Atl. 76.1                        3.0                          1.9

Cunningham, Phila. 75.5                        3.9                          2.8

Wilson, Minn.                       70.5                        2.5                          3.3

Hogeboom, Phoe. 69.5                        3.8                          5.2

Testaverde, T.B.                  68.9                        4.2                          4.6

Tomczak, Chi.                     68.2                        5.2                          5.2

Gagliano, Det.                      61.2                        2.6                          5.2

Aikman, Dall.                       55.9                        3.1                          6.2

a. Determine the least squares regression line for estimating the passer rating based on the percentage of passes that were touchdowns.

b. A quarterback says 5.0% of his passes will be touchdowns next year. Assuming this to be true, estimate his rating for the coming season.

c. Determine the standard error of estimate.

Solution