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), f 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, average number February 12, 2012). Click on the datafile logo to reference the data.

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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
Atlanta Falcons
Conference
Yds/Att
Int/At
Win%
NFC
6.5
0.042
50.0
NFC
7.1
0.022
62.5
Carolina Panthers
Cincinnati Bengals
Detroit Lions
NFC
7.4
0.033
37.5
AFC
6.2
0.026
56.3
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
San Francisco 49ers
Tennessee Titans
Washington Redskins
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
NFC
6.5
0.011
81.3
AFC
6.7
0.024
56.3
NFC
6.4
0.041
31.3
Let x1 represent Yds/Att.
Let xz represent Int/Att.
(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. If required, round your answer to three decimal digits. For subtractive or negative numbers
use a minus sign even if there is a + sign before the blank. (Example: -300)
ý =
X1
What proportion of variation in the sample values of proportion of games won does this model explain? If required, round your answer to one decimal digit.
(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. If required, round your answer to three decimal digits. For subtractive or negative numbers use
a minus sign even if there is a + sign before the blank. (Example: -300)
ý =
x2
What proportion of variation in the sample values of proportion of games won does this model explain? If required, round your answer to one decimal digit.
%
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 Atlanta Falcons Conference Yds/Att Int/At Win% NFC 6.5 0.042 50.0 NFC 7.1 0.022 62.5 Carolina Panthers Cincinnati Bengals Detroit Lions NFC 7.4 0.033 37.5 AFC 6.2 0.026 56.3 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 San Francisco 49ers Tennessee Titans Washington Redskins 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 NFC 6.5 0.011 81.3 AFC 6.7 0.024 56.3 NFC 6.4 0.041 31.3 Let x1 represent Yds/Att. Let xz represent Int/Att. (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. If required, round your answer to three decimal digits. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) ý = X1 What proportion of variation in the sample values of proportion of games won does this model explain? If required, round your answer to one decimal digit. (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. If required, round your answer to three decimal digits. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) ý = x2 What proportion of variation in the sample values of proportion of games won does this model explain? If required, round your answer to one decimal digit. %
(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. If required, round your answer to three
decimal digits. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
x2
What proportion of variation in the sample values of proportion of games won does this model explain? If required, round your answer to one decimal digit.
%
(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.
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 - Select your answer - than what we predicted by
%.
(e) Did the estimated regression equation that uses only the average number of passing yards per attempt as the independent variable to predict the percentage of games won provide a good fit?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Transcribed Image Text:(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. If required, round your answer to three decimal digits. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) x2 What proportion of variation in the sample values of proportion of games won does this model explain? If required, round your answer to one decimal digit. % (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. 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 - Select your answer - than what we predicted by %. (e) Did the estimated regression equation that uses only the average number of passing yards per attempt as the independent variable to predict the percentage of games won provide a good fit? The input in the box below will not be graded, but may be reviewed and considered by your instructor.
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