The National Football League (NFL) ecords a variety of performance data for individuals and teams. To investigate the importance of passing on the percentag ceam, the following data show the conference (Conf), average number of passing yards per attempt (Yds/Att), the number of interceptions thrown per attemp 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 Team Conference Yds/Att Int/Att Win% Arizona Cardinals NFC 6.5 0.042 50.0 Atlanta Falcons NFC 7.1 0.022 62.5 Carolina Panthers NFC 7.4 0.033 37.5 Cincinnati Bengals AFC 6.2 0.026 56.3 Detroit Lions NFC 7.2 0.024 62.5 Green Bay Packers NFC 8.9 0.014 93.8 Houstan Texans AFC 7.5 0.019 62.5 Indianapolis Colts AFC 5.6 0.026 12.5 Jacksonville Jaguars AFC 4.6 0.032 31.3 Minnesota Vikings NFC 5.8 0.033 18.8 New England Patriots AFC 8.3 0.020 81.3

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 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
Team
Arizona Cardinals
Conference
Yds/Att
Int/Att
Win%
NFC
6.5
0.042
50.0
Atlanta Falcons
NFC
7.1
0.022
62.5
Carolina Panthers
Cincinnati Bengals
NFC
7.4
0.033
37.5
AFC
6.2
0.026
56.3
Detroit Lions
NFC
7.2
0.024
62.5
Green Bay Packers
Houstan Texans
Indianapolis Colts
Jacksonville Jaguars
Minnesota Vikings
New England Patriots
New Orleans Saints
Oakland Raiders
NFC
8.9
0.014
93.8
AFC
7.5
0.019
62.5
AFC
5.6
0.026
12.5
AFC
4.6
0.032
31.3
NFC
5.8
0.033
18.8
AFC
8.3
0.020
81.3
NFC
8.1
0.021
81.3
AFC
7.6
0.044
50.0
San Francisco 49ers
NFC
6.5
0.011
81.3
Tennessee Titans
AFC
6.7
0.024
56.3
Washington Redskins
NFC
6.4
0.041
31.3
Let x, represent Yds/Att.
Let x2 represent Int/Att.
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 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 Team Arizona Cardinals Conference Yds/Att Int/Att Win% NFC 6.5 0.042 50.0 Atlanta Falcons NFC 7.1 0.022 62.5 Carolina Panthers Cincinnati Bengals NFC 7.4 0.033 37.5 AFC 6.2 0.026 56.3 Detroit Lions NFC 7.2 0.024 62.5 Green Bay Packers Houstan Texans Indianapolis Colts Jacksonville Jaguars Minnesota Vikings New England Patriots New Orleans Saints Oakland Raiders NFC 8.9 0.014 93.8 AFC 7.5 0.019 62.5 AFC 5.6 0.026 12.5 AFC 4.6 0.032 31.3 NFC 5.8 0.033 18.8 AFC 8.3 0.020 81.3 NFC 8.1 0.021 81.3 AFC 7.6 0.044 50.0 San Francisco 49ers NFC 6.5 0.011 81.3 Tennessee Titans AFC 6.7 0.024 56.3 Washington Redskins NFC 6.4 0.041 31.3 Let x, represent Yds/Att. Let x2 represent Int/Att.
(d) The average number of passing yards per attempt for the Dallas Cowboys during the 2011 season was 7.8, and the team's number of interceptions thrown per attempt was 0.021. Use the
estimated regression equation developed in part (c) to predict the percentage of games won by the Dallas Cowboys during the 2011 season. (Note: For the 2011 the 2011 season, the Dallas
Cowboys' record was 7 wins and 9 loses.)
If required, round your answer to one decimal digit. Do not round intermediate calculations.
72.5
Compare your prediction to the actual percentage of games won by the Dallas Cowboys. If required, round your answer to one decimal digit.
The Dallas Cowboys performed worse
than what we predicted by
8.8
%.
Transcribed Image Text:(d) The average number of passing yards per attempt for the Dallas Cowboys during the 2011 season was 7.8, and the team's number of interceptions thrown per attempt was 0.021. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Dallas Cowboys during the 2011 season. (Note: For the 2011 the 2011 season, the Dallas Cowboys' record was 7 wins and 9 loses.) If required, round your answer to one decimal digit. Do not round intermediate calculations. 72.5 Compare your prediction to the actual percentage of games won by the Dallas Cowboys. If required, round your answer to one decimal digit. The Dallas Cowboys performed worse than what we predicted by 8.8 %.
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