(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 Vds/Att and y represent Win %.) ŷ= (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 x, 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 0.038. 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.) 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. O The predicted value is higher than the actual value. O The predicted value is lower than the actual value. O The predicted value is identical to the actual value.
(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 Vds/Att and y represent Win %.) ŷ= (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 x, 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 0.038. 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.) 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. O The predicted value is higher than the actual value. O The predicted value is lower than the actual value. O The predicted value is identical to the actual value.
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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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 (Vds/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
0.044 50.0
San Francisco 49ers
NFC
0.011
81.3
Tennessee Titans
AFC
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 =
(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, x₂ represent Int/Att, and y represent Win %.)
ý=
(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 0.038. 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.)
%
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.
O The predicted value is higher than the actual value.
O The predicted value is lower than the actual value.
O The predicted value is identical to the actual value.
7.6
6.5
6.7
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