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.

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

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

Let x₁ represent Yds/Att.
Let x₂ represent Int/Att.

ONLY ANSWER C, D, E

(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)

ŷ =   +  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)

ŷ =   +  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)

ŷ =   +  x₁ +  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 Kansas City Chiefs during the 2011 season was 6.6, and the team’s number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs during the 2011 season. (Note: For the 2011 the 2011 season, the Kansas City Chiefs' 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 Kansas City Chiefs. If required, round your answer to one decimal digit.

The Kansas City Chiefs performed   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) 12.949 Ox1 + -1083.788 O2 -5.763 + 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 Kansas City Chiefs during the 2011 season was 6.6, and the team's number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs during the 2011 season. (Note: For the 2011 the 2011 season, the Kansas City Chiefs' 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 Kansas City Chiefs. If required, round your answer to one decimal digit. The Kansas City Chiefs performed better 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. blank
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 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 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 NFC 8.9 0.014 93.8 Houstan Texans AFC 7.5 0.019 62.5 Indianapolis Colts Jacksonville Jaguars AFC 5.6 0.026 12.5 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 Let x1 represent Yds/Att. Let x2 represent Int/Att.

Name: The National Football League (NFL) records a variety of performance da
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Description: 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 pa

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 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.

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
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

Let x₁ represent Yds/Att.
Let x₂ represent Int/Att.

ONLY ANSWER C, D, E

(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)
	ŷ = + 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)
	ŷ = + 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)
	ŷ = + x₁ + 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 Kansas City Chiefs during the 2011 season was 6.6, and the team’s number of interceptions thrown per attempt was 0.036. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs during the 2011 season. (Note: For the 2011 the 2011 season, the Kansas City Chiefs' 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 Kansas City Chiefs. If required, round your answer to one decimal digit.
	The Kansas City Chiefs performed 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.

(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)
12.949 Ox1 +
-1083.788 O2
-5.763
+
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 Kansas City Chiefs during the 2011 season was 6.6, and the team's number of interceptions thrown per attempt was 0.036. Use the
estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs during the 2011 season. (Note: For the 2011 the 2011 season, the Kansas City
Chiefs' 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 Kansas City Chiefs. If required, round your answer to one decimal digit.
The Kansas City Chiefs performed better
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.
blank

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 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 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 NFC 8.9 0.014 93.8 Houstan Texans AFC 7.5 0.019 62.5 Indianapolis Colts Jacksonville Jaguars AFC 5.6 0.026 12.5 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 Let x1 represent Yds/Att. Let x2 represent Int/Att.

Accepted Answer

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