Check My Work (3 remaining) 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 NFC 6.5 7.1 7.4 6.2 NFC Win% 50.0 62.5 37.5 0.042 0.022 0.033 0.026 0.024 56.3 62.5 7.2 0.014 93.8 8.9 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 NFC AFC NFC NFC AFC AFC AFC NFC AFC 7.5 5.6 4.6 0.019 0.026 0.032 0.033 0.020 62.5 12.5 31.3 18.8 81.3 5.8 8.3 81.3 8.1 0.021 NFC AFC 0.044 50.0 7.6 6.5 81.3 NFC 0.011 0.024 0.041 56.3 AFC 6.7 31.3 NFC 6.4 Let X1 represent Yds/Att. 0) ENG 101 Assignment 1 Q Search this cour 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) y = 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. %% (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) y = 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. 96 (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) y = 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. 96 (d) The average number of passing yards per attempt for the Pittsburgh Steelers during the 2011 season was 8, and the team's number of interceptions thrown per attempt was 0.028. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Pittsburgh Steelers during the 2011 season. (Note: For the 2011 season, the Pittsburgh Steelers' 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 Pittsburgh Steelers. If required, round your answer to one decimal digit. The Pittsburgh Steelers performed Select your answer 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? Based on the coefficient of determination from the two models using the average number of passing yards per attempt as the independent variable, the model using only the average number of passing yards per attempt as the independent variable Select your answer the best fit. X2