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 average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) in a season for a random sample of 10 NFL teams.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 average number of passing yards per attempt
(Yds/Att) and the percentage of games won (WinPct) in a season for a random sample of 10 NFL teams.
Team
Arizona Cardinals
Atlanta Falcons
Carolina Panthers
Chicago Bears
Dallas Cowboys
New England Patriots
Philadelphia Eagles
Seattle Seahawks
St. Louis Rams
Tampa Bay Buccaneers
Yds/Att (X)
6.5
7.1
7.4
6.4
7.4
8.3
7.4
6.1
5.2
6.2
WinPct (Y)
50
63
38
50
50
81
50
44
13
25
Using R, make a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won
on the vertical axis.
Then, fit the model
Y₁ = Bo + B₁X₁ + ₁, where ; are independent N(0, 2), i = 1, 2, ..., 10.
Obtain the maximum likelihood estimate (mle) of Bo Your final answer must be a number. Please round it to 4 decimal places.
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 average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) in a season for a random sample of 10 NFL teams. Team Arizona Cardinals Atlanta Falcons Carolina Panthers Chicago Bears Dallas Cowboys New England Patriots Philadelphia Eagles Seattle Seahawks St. Louis Rams Tampa Bay Buccaneers Yds/Att (X) 6.5 7.1 7.4 6.4 7.4 8.3 7.4 6.1 5.2 6.2 WinPct (Y) 50 63 38 50 50 81 50 44 13 25 Using R, make a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. Then, fit the model Y₁ = Bo + B₁X₁ + ₁, where ; are independent N(0, 2), i = 1, 2, ..., 10. Obtain the maximum likelihood estimate (mle) of Bo Your final answer must be a number. Please round it to 4 decimal places.
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