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math10030
math10030
17.06.2020 • 
Mathematics

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 show the conference (Conf), 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 the 2011 season (NFL web site, February 12, 2012). TEAM Conf.     YDS/ATT     Int/Att    Win%
Cardinals NFC 6.5 0.042 50
Flacons NFC 7.1 0.022 62.5
Panthers NFC 7.4 0.033 37.5
Bengals AFC 6.2 0.026 56.3
Lions NFC 7.2 0.024 62.5
Packers NFC 8.9 0.014 93.8
Texans AFC 7.5 0.019 62.5
Colts AFC 5.6 0.026 12.5
Jaguars AFC 4.6 0.032 31.3
Vikings NFC 5.8 0.033 18.8
Patriots AFC 8.3 0.02 81.3
Saints NFC 8.1 0.021 81.3
Raiders AFC 7.6 0.044 50
49ers NFC 6.5 0.011 81.3
Titans AFC 6.7 0.024 56.3
Redskins NFC 6.4 0.041 31.3

Required:
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.

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