The national football league (NFL) records a variety of performance data for individuals and teams. to investigate the importance of passing on the percentage of games won by a team, the following data shows the conference, average number of passing yards per attempt (Yds/Att), the number of interceptions thrown per attempt (Int/Att), and the percentage of games won (Win%) for a random sample of 16 NFL teams for teh 2011 season (NFL website, February 12, 2012). TEAM

Conf.

YDS/ATT

Int/Att

Win%

Cardinals

NFC

6.5

.042

50.0

Flacons

NFC

7.1

.022

62.5

Panthers

NFC

7.4

.033

37.5

Bengals

AFC

6.2

.026

56.3

Lions

NFC

7.2

.024

62.5

Packers

NFC

8.9

.014

93.8

Texans

AFC

7.5

.019

62.5

Colts

AFC

5.6

.026

12.5

Jaguars

AFC

4.6

.032

31.3

Vikings

NFC

5.8

.033

18.8

Patriots

AFC

8.3

.020

81.3

Saints

NFC

8.1

.021

81.3

Raiders

AFC

7.6

.044

50.0

49ers

NFC

6.5

.011

81.3

Titans

AFC

6.7

.024

56.3

Redskins

NFC

6.4

.041

31.3

A.) Develope the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt.

B.) Develope the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt.

C.) Develope the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt and the number of interceptions thrown per attempt.

D.) The average number of passing yards per attempt for the Kansas City Cheifs was 6.2 and the number of interceptions thrown per attempt was .036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the kansas City Cheifs. (Note: For the 2011 season teh Kansas City Cheifs' record was 7 wins and 9 losses.) Compare your predictions to the actual percentage of games won by the Kansas City Chiefs.