eBook 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). Click on the datafile logo to reference the data. DATA file Conference Yds/Att Int/Att Team Win% NEC 6.5 0.042 50.0 NEC 0.022 62.5 NEC 7.4 0.033 37.5 AFC 6.2 0.026 56.3 7.2 NFC 0.024 62.5 NEC 8.9 0.014 93.8 7.5 AFC 0.019 62.5 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 5.6 AFC 0.026 12.5 4.6 AFC 0.032 31.3 5.8 NFC 0.033 18.8 AFC 8.3 0.020 81.3 81.3 NEC 8.1 0.021 0.044 AFC 7.6 50.0 apter 7.5 7.6 0.044 50.0 AFL Oakland Raiders 6.5 NFC 0.011 81.3 San Francisco 49ers AFC 6.7 0.024 56.3 Tennessee Titans Washington Redskins NFC 6.4 0.041 31.3 Let X1 represent Yds/Att. Let x2 represent Int/Att. (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. If required, round your answer to three decimal digits. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) + = -52.7 15.5 X1 What proportion of variation in the sample values of proportion of games won does this model explain? If required, round your answer to one decimal digit. 43.3 % (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. If required, round your answer to three decimal digits. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) + = 98.6 -1597.5 X2 What proportion of variation in the sample values of proportion of games won does this model explain? If required, round your answer to one decimal digit. 41.1 % (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. If required, round your answer to three decimal digits. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) 41.1 % (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. If required, round your answer to three decimal digits. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) + X1 + y = .2 12.3 -1127.3 X2 What proportion of variation in the sample values of proportion of games won does this model explain? if required, round your answer to one decimal digit. 36.2 % (d) The average number of passing yards per attempt for the Buffalo Bills during the 2011 season was 6.7 and the team's number of interceptions thrown per attempt was 0.043. Use the estimated regression equation developed in part (C) to predict the percentage of games won by the Buffalo Bills during the 2011 season. (Note: For the 2011 the 2011 season, the Buffalo Bills' record was 7 wins and 9 loses.) If required, round your answer to one decimal digit. Do not round intermediate calculations. % Compare your prediction to the actual percentage of games won by the Buffalo Bills. If required, round your answer to one decimal digit. The Buffalo Bills performed better than what we predicted by (e) Did the estimated regression equation that uses only the average number of passing yards per attempt as the independent variable to predict the percentage of games won provide a good fit? The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank