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 average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website).

Team Yds/Att WinPct

Arizona Cardinals 6.7 52

Atlanta Falcons 7.4 63

Carolina Panthers 7.8 67

Chicago Bears 6.8 50

Dallas Cowboys 5.9 31

New England Patriots 7.8 71

Philadelphia Eagles 7.6 70

Seattle Seahawks 6.9 52

St. Louis Rams 5.8 36

Tampa Bay Buccaneers 8.5 84

-select your answer choices-

a. (A, B, C, D)

b. The scatter diagram indicates a (positive, negative) linear relationship between x= average number of passing yards per attempt and y= the percentage of games won by the team.

d. The slope of the estimated regression line is approximately __. So, for every (increase, decrease) of one yard in the average number of passes per attempt, the percentage of games won by the team increases by __%

e. Considering the small data size, the prediction made using the estimated regression equation (is not too bad, is really bad).
Transcribed Image Text: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 average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Yds/Att WinPct Arizona Cardinals 6.7 52 Atlanta Falcons 7.4 63 Carolina Panthers 7.8 67 Chicago Bears 6.8 50 Dallas Cowboys 5.9 31 New England Patriots 7.8 71 Philadelphia Eagles 7.6 70 Seattle Seahawks 6.9 52 St. Louis Rams 5.8 36 Tampa Bay Buccaneers 8.5 84 a. Choose the correct a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. A. В. WinPct Win Pct 80 80 70- :- 70 60- 60 50 50 40 40 30 30 20+ 20 10- 10- 6. 8. 9. 9. Yds/Att Yds/Att C. WinPct D. WinPct 80 80- 70 70- 60- 60- 50 50- 40 40- 30 30- 20 20- 10- 10- 8 9. 7 8. 9. Yds/Att Yds/Att - Select your answer - b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a Select your answer - v linear relationship between I = average number of passing yards per attempt and y = the percentage of games won by the team. 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. Enter negative value as negative number. WinPct = + )(Yds/Att) (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal). The slope of the estimated regression line is approximately So, for every Select your answer - v of one yard in the average number of passes per attempt, the percentage of games won by the team increases by %. e. For the 2011 season, the average number of passing yards per attempt for the Kansas City Chiefs was was 6.8. Use the estimated regression equation developed in part (c) predict the percentage of games won by the Kansas City Chiefs. (Note: For the 2011 season the Kansas City Chiefs' record was 7 wins and 9 losses.) % (to 2 decimals) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs. Considering the small data size, the prediction made using the estimated regression equation Select your answer - v

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 average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website).

Team	Yds/Att	WinPct
Arizona Cardinals	6.7	52
Atlanta Falcons	7.4	63
Carolina Panthers	7.8	67
Chicago Bears	6.8	50
Dallas Cowboys	5.9	31
New England Patriots	7.8	71
Philadelphia Eagles	7.6	70
Seattle Seahawks	6.9	52
St. Louis Rams	5.8	36
Tampa Bay Buccaneers	8.5	84

-select your answer choices-

a. (A, B, C, D)

b. The scatter diagram indicates a (positive, negative) linear relationship between x= average number of passing yards per attempt and y= the percentage of games won by the team.

d. The slope of the estimated regression line is approximately __. So, for every (increase, decrease) of one yard in the average number of passes per attempt, the percentage of games won by the team increases by __%

e. Considering the small data size, the prediction made using the estimated regression equation (is not too bad, is really bad).

Accepted Answer

The National Football League (NFL) records a variety of performance data for individuals and teams.…