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 one full season. Team Conf 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 New Orleans Saints NFC 8.1 0.021 81.3 Oakland Raiders 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 (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. (Round your numerical values to one decimal place. Let x, represent Yds/Att and y represent Win%.)
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 one full season. Team Conf 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 New Orleans Saints NFC 8.1 0.021 81.3 Oakland Raiders 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 (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. (Round your numerical values to one decimal place. Let x, represent Yds/Att and y represent Win%.)
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Transcribed Image Text:A statistical program is recommended.
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 one full season.
Team
Conf
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
New Orleans Saints
NFC
8.1
0.021
81.3
Oakland Raiders
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
(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. (Round your numerical values to
one decimal place. Let x, represent Yds/Att and y represent Win%.)
ŷ =
Transcribed Image Text:(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. (Round your numerical values to the
nearest integer. Let
X2
represent Int/Att, and y represent Win%.)
ŷ =
(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. (Round your numerical values to the nearest integer. Let x, represent Yds/Att, x, represent Int/Att, and y represent Win%.)
ŷ =
(d) The average number of passing yards per attempt for a certain team was 6.2 and the number of interceptions thrown per attempt was 0.034. Use the estimated regression equation developed in
part (c) to predict the percentage of games won by the team. (Round your answer to one decimal place.)
88.3
X %
For this season the team's record was 7 wins and 9 losses. Compare your prediction to the actual percentage of games won by the team.
The predicted value is identical to the actual value.
The predicted value is lower than the actual value.
The predicted value is higher than the actual value.
it
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