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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

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 data in the Excel Online file below 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 a season. Construct a spreadsheet to answer the following questions.

Develop the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt (to 1 decimal).

Win%=b0+b1 x Yds/Att

b0=

b1=

Develop the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt (to 1 decimal).

Win%=b0+b1 x Int/Att

b0=

b1=

Develop 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 (to 1 decimal).

Win%=b0+b1 x Yds/Att =+b2 x Int/Att

b0=

b1=

The average number of passing yards per attempt for the Kansas City Chiefs was 6.2 and the number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs. (Note: For this season the Kansas City Chiefs' record was 7 wins and 9 losses.) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs (to whole number).

Predicted percentage Actual percentage
<>=

Team Conf Yds/Att Int/Att Win%
Arizona Cardinals NFC 6.4 0.041 50.0
Atlanta Falcons NFC 7.2 0.021 62.3
Carolina Panthers NFC 7.4 0.033 37.2
Cincinnati Bengals AFC 6.3 0.026 56.4
Detroit Lions NFC 7.3 0.023 62.4
Green Bay Packers NFC 8.7 0.013 93.9
Houstan Texans AFC 7.3 0.019 62.2
Indianapolis Colts AFC 5.5 0.027 12.2
Jacksonville Jaguars AFC 4.7 0.031 31.4
Minnesota Vikings NFC 5.7 0.033 18.8
New England Patriots AFC 8.4 0.019 81.3
New Orleans Saints NFC 8.2 0.021 81.3
Oakland Raiders AFC 7.5 0.045 50.1
San Francisco 49ers NFC 6.4 0.012 81.3
Tennessee Titans AFC 6.7 0.025 56.3
Washington Redskins NFC 6.2 0.041 31.4

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