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 website, February 12, 2012).

a. 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.
b. Develop the estimated regression equation that could be used to predict the percentage of games won given the number of interceptions thrown per attempt.
c. 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.
d. 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 .036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs. (Note: For the 2011 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 CityChiefs.

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Team Yds/Att Conf NFC NFC NFC Int/Att 042 022 033 026 024 014 019 026 032 033 020 021 Win % Arizona Cardinals Atlanta Falcons Carolina Panthers 50.0 62.5 1.4 37.5 56.3 62.5 93.8 62.5 12.5 Cincinnati Bengals Detroit Lions Green Bay Packers Houstan Texans Indianapolis Colts Jacksonville Jaguars Minnesota Vikings New England Patriots New Orleans Saints Oakland Raiders San Francisco 49ers Tennessee Titans Washington Redskins NFC AFC AFC 7.2 8.9 7.5 NFC AFC NFC 18.8 81.3 81.3 50.0 NFC AFC NFC 011 024 041 56.3 31.3