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 Arizona Cardinals Atlanta Falcons Carolina Panthers Chicago Bears Dallas Cowboys New England Patriots Philadelphia Eagles Seattle Seahawks St. Louis Rams Yds/Att WinPct 5.4 5.3 6.3 6.2 6.1 7.7 8.4 5.6 6.4 Tampa Bay Buccaneers 5.2 27 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. 28 29 39 42 39 62 78 33 44

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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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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).
A.
Win Pct
5.4
28
5.3
29
6.3
39
6.2
42
6.1
39
7.7
62
8.4
78
5.6
33
6.4
44
Tampa Bay Buccaneers
5.2
27
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.
80-
70-
60-
50
40-
30-
20-
Team
-10-
Arizona Cardinals
Atlanta Falcons
Carolina Panthers
Chicago Bears
Dallas Cowboys
New England Patriots
Philadelphia Eagles
Seattle Seahawks
St. Louis Rams
B.
Yds/Att
Win Pct
-80-
-70-
-60-
-50-
40+
30-
20-
10+
WinPct
:
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). A. Win Pct 5.4 28 5.3 29 6.3 39 6.2 42 6.1 39 7.7 62 8.4 78 5.6 33 6.4 44 Tampa Bay Buccaneers 5.2 27 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. 80- 70- 60- 50 40- 30- 20- Team -10- Arizona Cardinals Atlanta Falcons Carolina Panthers Chicago Bears Dallas Cowboys New England Patriots Philadelphia Eagles Seattle Seahawks St. Louis Rams B. Yds/Att Win Pct -80- -70- -60- -50- 40+ 30- 20- 10+ WinPct :
A
60
50
-40
30-
20-
10-
6
7
Yds/Att
8
The scatter diagram indicates a positive
percentage of games won by the team.
60-
50-
-40
30-
20
10+
6
7
Yds/Att
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
8
9
linear relationship between = average number of passing yards per attempt and y = the
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).
* % (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 is not too bad
So, for every increase
The slope of the estimated regression line is approximately
%.
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 5.5. Use the estimated regression equation
developed in part (c) to 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.)
of one yard in the average number of
Transcribed Image Text:A 60 50 -40 30- 20- 10- 6 7 Yds/Att 8 The scatter diagram indicates a positive percentage of games won by the team. 60- 50- -40 30- 20 10+ 6 7 Yds/Att b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? 8 9 linear relationship between = average number of passing yards per attempt and y = the 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). * % (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 is not too bad So, for every increase The slope of the estimated regression line is approximately %. 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 5.5. Use the estimated regression equation developed in part (c) to 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.) of one yard in the average number of
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