The National Football League (NFL) records a variety of performance data for individualsand teams. To investigate the importance of passing on the percentage of games won bya team, the following data show the conference (Conf), average number of passing yardsper attempt (Yds/Att), the number of interceptions thrown per attempt (Int/Att), and thepercentage of games won (Win%) for a random sample of 16 NFL teams for the 2011season (NFL Web site, February 12, 2012).TeamConfYds/AttInt/AttWin%Ari zona CardinalsNFC6.50.04250Atlanta FalconsNFC7.10.02262.5Carolina PanthersNFC7.40.03337.5Cincinnati BengalsAFC6.20.02656.3Detroit LionsNFC7.20.02462.5Green Bay PackersNFC8.90.01493.8Houston TexansAFC7.50.01962.5Indianapolis ColtsAFC5.60.02612.5Jacksonville JaguarsAFC4.60.03231.3Minnesota VikingsNFC5.80.03318.8New England PatriotsAFC8.30.0281.3New Orleans SaintsNFC8.10.02181.3Oakland RaidersAFC7.60.04450San Francisco 49ersNFC6.50.01181.3Tennessee TitansAFC6.70.02456.3Washington RedskinsNFC6.40.04131.3a. Develop the estimated regression equation that could be used to predict the percentageof games won, given the average number of passing yards per attempt. What proportionof variation in the sample values of proportion of games won does this modelexplain?b. Develop the estimated regression equation that could be used to predict the percentageof games won, given the number of interceptions thrown per attempt. What proportionof variation in the sample values of proportion of games won does this model explain?c. Develop the estimated regression equation that could be used to predict the percentageof games won, given the average number of passing yards per attempt and the numberof interceptions thrown per attempt. What proportion of variation in the sample valuesof proportion of games won does this model explain?d. The average number of passing yards per attempt for the Kansas City Chiefs duringthe 2011 season was 6.2, and the team’s number of interceptions thrown per attemptwas 0.036. Use the estimated regression equation developed in part c to predictthe percentage of games won by the Kansas City Chiefs during the 2011 season. Compare your prediction to the actual percentage of games won by the Kansas CityChiefs. Note: For the 2011 season, the Kansas City Chiefs record was 7 wins and 9losses. e. Did the estimated regression equation that uses only the average number of passingyards per attempt as the independent variable to predict the percentage of games wonprovide a good fit?