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. (Let x1 represent Yds/Att, x2 represent Int/Att, and y represent Win%.) 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 Commanders NFC 6.4 0.041 31.3 (a) Develop the estimated linear 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 three decimal places.) ŷ = What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.) % (b) Develop the estimated linear 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 three decimal places.) ŷ = What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.) % (c) Develop the estimated linear 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 three decimal places.) ŷ = What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.) % (d) Suppose the average number of passing yards per attempt for a certain team was 6.1, and the team's number of interceptions thrown per attempt was 0.034. Use the estimated linear regression equation developed in part (c) to predict the percentage of games won by the team. (Round your answer to one decimal place.) %

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. (Let x1 represent Yds/Att, x2 represent Int/Att, and y represent Win%.) 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 Commanders NFC 6.4 0.041 31.3 (a) Develop the estimated linear 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 three decimal places.) ŷ = What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.) % (b) Develop the estimated linear 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 three decimal places.) ŷ = What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.) % (c) Develop the estimated linear 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 three decimal places.) ŷ = What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.) % (d) Suppose the average number of passing yards per attempt for a certain team was 6.1, and the team's number of interceptions thrown per attempt was 0.034. Use the estimated linear regression equation developed in part (c) to predict the percentage of games won by the team. (Round your answer to one decimal place.) %

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 Commanders	NFC	6.4	0.041	31.3

(a)

Develop the estimated linear 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 three decimal places.)

ŷ =

What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.)

(b)

Develop the estimated linear 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 three decimal places.)

ŷ =

What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.)

(c)

Develop the estimated linear 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 three decimal places.)

ŷ =

What proportion of variation in the sample values of proportion of games won (in %) does this model explain? (Round your answer to two decimal places.)

(d)

Suppose the average number of passing yards per attempt for a certain team was 6.1, and the team's number of interceptions thrown per attempt was 0.034. Use the estimated linear regression equation developed in part (c) to predict the percentage of games won by the team. (Round your answer to one decimal place.)

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