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. Win% Conf NFC 49.7 NFC 62.3 NFC 37.5 AFC 56.0 NFC 62.4 NFC 93.9 AFC 62.3 AFC 12.4 AFC 31.0 NFC 18.7 AFC 81.4 NFC 81.5 AFC 7.8 50.1 New England Patriots New Orleans Saints Oakland Raiders San Francisco 49ers Tennessee Titans Washington Redskins NFC 6.7 81.0 6.5 0.026 56.4 AFC NFC 6.6 0.042 31.4 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 (to 1 decimal). Enter negative value as negative number. Win %== Yds/Att 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 (to 1 decimal). Enter negative value as negative number. Win %== Int/Att 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 (to 1 decimal). Enter negative value as negative number. + 4 < Team Arizona Cardinals Atlanta Falcons Carolina Panthers Cincinnati Bengals Detroit Lions Green Bay Packers Houstan Texans Indianapolis Colts Jacksonville Jaguars Minnesota Vikings Yds/Att 6.7 7.2 7.2 6.0 7.3 8.8 7.5 5.4 4.6 6.0 Actual percentage 8.2 7.9 Int/Att 0.042 0.023 0.033 0.028 Yds/Att + Int/Att Win %= + d. The average number of passing yards per attempt for the Kansas City Chiefs was 6.2 and the 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. (Note: For a season the Kansas City Chiefs' record was 7 wins and 9 losses.) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs (to whole number). Do not round intermediate calculations. Predicted percentage 0.025 0.015 0.018 0.025 0.033 0.034 0.019 0.022 0.045 0.012

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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 one full season.
+
4
+
Team
Conf
NFC
NFC
Arizona Cardinals
Atlanta Falcons
Carolina Panthers
Cincinnati Bengals
Detroit Lions
NFC
AFC
NFC
NFC
AFC
Green Bay Packers
Houstan Texans
Indianapolis Colts
Jacksonville Jaguars
AFC
AFC
NFC
AFC
NFC
Minnesota Vikings
New England Patriots
New Orleans Saints
Oakland Raiders
San Francisco 49ers
Tennessee Titans
Washington Redskins
AFC
NFC
81.0
AFC
56.4
NFC
31.4
equation that could be used to predict the percentage of games won given the average number of passing yards per attempt (to 1 decimal). Enter negative value as negative number.
Yds/Att
6.7
7.2
7.2
6.0
7.3
8.8
7.5
5.4
4.6
6.0
8.2
7.9
7.8
6.7
6.5
6.6
Hint(s) Check My Work
Int/Att
0.042
0.023
0.033
0.028
0.025
0.015
0.018
0.025
0.033
0.034
0.019
0.022
0.045
0.012
0.026
0.042
a. Develop the estimated regression
Win %=
Yds/Att
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 (to 1 decimal). Enter negative value as negative number.
Win %=
Int/Att
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 (to 1 decimal). Enter
negative value as negative number.
×
Actual percentage
*
Win%
49.7
62.3
37.5
56.0
62.4
93.9
62.3
12.4
31.0
18.7
81.4
81.5
50.1
Win % =
Yds/Att +
*
Int/Att
d. The average number of passing yards per attempt for the Kansas City Chiefs was 6.2 and the 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. (Note: For a season the Kansas City Chiefs' record was 7 wins and 9 losses.) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs (to whole
number). Do not round intermediate calculations.
Predicted percentage
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 one full season. + 4 + Team Conf NFC NFC Arizona Cardinals Atlanta Falcons Carolina Panthers Cincinnati Bengals Detroit Lions NFC AFC NFC NFC AFC Green Bay Packers Houstan Texans Indianapolis Colts Jacksonville Jaguars AFC AFC NFC AFC NFC Minnesota Vikings New England Patriots New Orleans Saints Oakland Raiders San Francisco 49ers Tennessee Titans Washington Redskins AFC NFC 81.0 AFC 56.4 NFC 31.4 equation that could be used to predict the percentage of games won given the average number of passing yards per attempt (to 1 decimal). Enter negative value as negative number. Yds/Att 6.7 7.2 7.2 6.0 7.3 8.8 7.5 5.4 4.6 6.0 8.2 7.9 7.8 6.7 6.5 6.6 Hint(s) Check My Work Int/Att 0.042 0.023 0.033 0.028 0.025 0.015 0.018 0.025 0.033 0.034 0.019 0.022 0.045 0.012 0.026 0.042 a. Develop the estimated regression Win %= Yds/Att 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 (to 1 decimal). Enter negative value as negative number. Win %= Int/Att 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 (to 1 decimal). Enter negative value as negative number. × Actual percentage * Win% 49.7 62.3 37.5 56.0 62.4 93.9 62.3 12.4 31.0 18.7 81.4 81.5 50.1 Win % = Yds/Att + * Int/Att d. The average number of passing yards per attempt for the Kansas City Chiefs was 6.2 and the 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. (Note: For a season the Kansas City Chiefs' record was 7 wins and 9 losses.) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs (to whole number). Do not round intermediate calculations. Predicted percentage
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