eBook The National Football League (NFL) records a variety ofperformance data for individuals and teams. To investigate theimportance of passing on the percentage of games won by a team, thefollowing data show the conference (Conf), average number ofpassing yards per attempt (Yds/Att), the number of interceptionsthrown per attempt (Int/Att), and the percentage of games won(Win%) for a random sample of 16 NFL teams for the 2011 season (NFLweb site, February 12, 2012). Click on the datafile logo to reference the data. Team Conference Yds/Att Int/Att Win% Arizona Cardinals NFC 6.5 0.042 50.0 Atlanta Falcons NFC 7.1 0.022 62.5 Carolina Panthers NFC 7.4 0.033 37.5 Cincinnati Bengals AFC 6.2 0.026 56.3 Detroit Lions NFC 7.2 0.024 62.5 Green Bay Packers NFC 8.9 0.014 93.8 Houstan Texans AFC 7.5 0.019 62.5 Indianapolis Colts AFC 5.6 0.026 12.5 Jacksonville Jaguars AFC 4.6 0.032 31.3 Minnesota Vikings NFC 5.8 0.033 18.8 New England Patriots AFC 8.3 0.020 81.3 New Orleans Saints NFC 8.1 0.021 81.3 Oakland Raiders AFC 7.6 0.044 50.0 San Francisco 49ers NFC 6.5 0.011 81.3 Tennessee Titans AFC 6.7 0.024 56.3 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 topredict the percentage of games won, given the average number ofpassing yards per attempt. If required, round your answer to threedecimal digits. For subtractive or negative numbers use a minussign even if there is a + sign before the blank. (Example:-300) ŷ=  +  x1 What proportion of variation in the sample values of proportionof games won does this model explain? If required, round youranswer to one decimal digit. % (b) Develop the estimated regression equation that could be used topredict the percentage of games won, given the number ofinterceptions thrown per attempt. If required, round your answer tothree decimal digits. For subtractive or negative numbers use aminus sign even if there is a + sign before the blank. (Example:-300) ŷ=  +  x2 What proportion of variation in the sample values of proportionof games won does this model explain? If required, round youranswer to one decimal digit. % (c) Develop the estimated regression equation that could be used topredict the percentage of games won, given the average number ofpassing yards per attempt and the number of interceptions thrownper attempt. If required, round your answer to three decimaldigits. For subtractive or negative numbers use a minus sign evenif there is a + sign before the blank. (Example: -300) ŷ =  +  x1+  x2 What proportion of variation in the sample values of proportionof games won does this model explain? If required, round youranswer to one decimal digit. % (d) The average number of passing yards per attempt for the SeattleSeahawks during the 2011 season was 6.8, and the team’s number ofinterceptions thrown per attempt was 0.028. Use the estimatedregression equation developed in part (c) to predict the percentageof games won by the Seattle Seahawks during the 2011 season.(Note: For the 2011 the 2011 season, the Seattle Seahawks'record was 7 wins and 9 loses.) If required, round your answer to one decimal digit. Do notround intermediate calculations. % Compare your prediction to the actual percentage of games wonby the Seattle Seahawks. If required, round your answer to onedecimal digit. The Seattle Seahawks performed - Select your answer-betterworseItem 12 than what we predicted by  %. (e) Did the estimated regression equation that uses only theaverage number of passing yards per attempt as the independentvariable to predict the percentage of games won provide a goodfit? The input in the box below will not be graded, but may bereviewed and considered by your instructor.