Question

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 a season.

Team	Conf	Yds/Att	Int/Att	Win%
Arizona Cardinals	NFC	6.7	0.041	50.0
Atlanta Falcons	NFC	6.9	0.023	62.7
Carolina Panthers	NFC	7.3	0.034	37.6
Cincinnati Bengals	AFC	6.4	0.026	56.2
Detroit Lions	NFC	7.3	0.023	62.6
Green Bay Packers	NFC	8.9	0.015	94.0
Houstan Texans	AFC	7.6	0.021	62.6
Indianapolis Colts	AFC	5.8	0.028	12.3
Jacksonville Jaguars	AFC	4.4	0.032	31.4
Minnesota Vikings	NFC	5.9	0.032	19.0
New England Patriots	AFC	8.2	0.019	81.2
New Orleans Saints	NFC	8.1	0.021	81.1
Oakland Raiders	AFC	7.6	0.043	49.9
San Francisco 49ers	NFC	6.7	0.012	81.5
Tennessee Titans	AFC	6.8	0.024	56.5
Washington Redskins	NFC	6.3	0.043	31.1

ta. 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). Enter negative value as negative number.

Win % = _______+_________*Yds/At

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). Enter negative value as negative number.

Win % = _______+_________*Yds/Att

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). Enter negative value as negative number.

Win % = _______+_________*Yds/Att+______*Int/Att

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 a 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 ___________

Answer 1