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.
Team Arizona Cardinals Atlanta Falcons Carolina Panthers 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 Conf NFC NFC NFC AFC NFC NFC AFC AFC AFC NFC AFC NFC AFC NFC AFC NFC Yds/Att 6.6 7.0 7.5 6.2 7.2 8.8 7.6 5.4 4.7 5.9 8.3 8.0 7.7 6.4 6.6 Int/Att 0.043 0.021 0.034 0.026 0.025 0.015 0.018 0.026 0.031 0.033 0.020 0.020 0.045 0.011 0.023 0.042 Win% 49.7 62.6 37.4 56.2 62.5 93.5 62.3 12.3 31.1 18.6 81.0 81.3 49.7 81.1 56.1 31.0 6.2 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 (to 1 decimal). Win% = bo + b Yds/Att bo b1 = 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 (to 1 decimal). Win% = bo + b1 . Int/Att bo = bi 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 (to 1 decimal). Win% = bo + b1 . Yds/Att + b2 Int/Att bo b = b2 = 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 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 Arizona Cardinals Atlanta Falcons Carolina Panthers 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 Conf NFC NFC NFC AFC NFC NFC AFC AFC AFC NFC AFC NFC AFC NFC AFC NFC Yds/Att 6.6 7.0 7.5 6.2 7.2 8.8 7.6 5.4 4.7 5.9 8.3 8.0 7.7 6.4 6.6 Int/Att 0.043 0.021 0.034 0.026 0.025 0.015 0.018 0.026 0.031 0.033 0.020 0.020 0.045 0.011 0.023 0.042 Win% 49.7 62.6 37.4 56.2 62.5 93.5 62.3 12.3 31.1 18.6 81.0 81.3 49.7 81.1 56.1 31.0 6.2 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 (to 1 decimal). Win% = bo + b Yds/Att bo b1 = 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 (to 1 decimal). Win% = bo + b1 . Int/Att bo = bi 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 (to 1 decimal). Win% = bo + b1 . Yds/Att + b2 Int/Att bo b = b2 = 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 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
