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Question1

Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.

What is the calculated test statistic value of the model? (4 decimals)

Question2

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Determine the estimated regression equation that could be used to predict the proportion of games won given the ERA.

What is the calculated test statistic value of the model? (4 decimals)

QUESTION 3

·

Determine the estimated regression equation that could be used to predict the proportion of games won given the Home Runs and ERA.

· What is the calculated test statistic value of the model? (4 decimals)

QUESTION 4

· Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.

· How much of the variation is explained by Home Runs? (4 decimals)

QUESTION 5

· Determine the estimated regression equation that could be used to predict the proportion of games won given the ERA.

· How much of the variation is explained by ERA? (4 decimals)

QUESTION 6

· Copy of

· Determine the estimated regression equation that could be used to predict the proportion of games won given the Home Runs and ERA.

· How much of the variation is explained by Home Runs and ERA? (4 decimals)

QUESTION 7

· Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.

· What is the critical value of the model? (4 decimals)

QUESTION 8

· Determine the estimated regression equation that could be used to predict the proportion of games won given the ERA.
· What is the critical value of the model? (4 decimals)

QUESTION 9

·

Determine the estimated regression equation that could be used to predict the proportion of games won given the Home Runs and ERA.

· What is the critical value of the model? (4 decimals)

QUESTION 10

· Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.

· What is the calculated p-value for the model? (4 decimals)

QUESTION 11

· Determine the estimated regression equation that could be used to predict the proportion of games won given the ERA.
· What is the calculated p-value for the model? (4 decimals)

QUESTION 12

· Determine the estimated regression equation that could be used to predict the proportion of games won given the Home Runs and ERA.
· What is the calculated p-value for the model? (4 decimals)

QUESTION 13

· Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.

· What is the critical value of alpha? (4 decimals)

QUESTION 14

· Determine the estimated regression equation that could be used to predict the proportion of games won given the ERA.
· What is the critical value of alpha? (4 decimals)

QUESTION 15

· Determine the estimated regression equation that could be used to predict the proportion of games won given the Home Runs and ERA.
· What is the critical value of alpha? (4 decimals)

QUESTION 16

Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.

What is the Null Hypothesis of the model?

H0: β1 = 0

H0: β1 not = 0

Ha: β1 = 0

Ha: β1 not = 0

QUESTION 17

Determine the estimated regression equation that could be used to predict the proportion of games won given the ERA.
What is the Null Hypothesis of the model?
H0: β1 = 0
H0: β1 not = 0
Ha: β1 = 0
Ha: β1 not = 0

QUESTION 18

Determine the estimated regression equation that could be used to predict the proportion of games won given the Home Runs and ERA.
What is the Null Hypothesis of the model?

H0: β1 = β2 = 0

H0: β1 not = β2 not = 0

Ha: β1 = β2 = 0

Ha: β1 not = β2 not = 0

QUESTION 19

Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.

What is your conclusion?

Do not

Reject the Null Hypothesis: There is not a significant relationship between Home Runs and Wins.

Reject the Null Hypothesis: There is a significant relationship between Home Runs and Wins.

Reject the Null Hypothesis: There is not a significant relationship between Home Runs and Wins.

Do not Reject the Null Hypothesis: There is a significant relationship between Home Runs and Wins.

QUESTION 20

Determine the estimated regression equation that could be used to predict the proportion of games won given the ERA.
What is your conclusion?

Do not

Reject the Null Hypothesis: There is not a significant relationship between ERA and Wins.

Reject the Null Hypothesis: There is a significant relationship between ERA and Wins.

Reject the Null Hypothesis: There is not a significant relationship between ERA and Wins.

Do not Reject the Null Hypothesis: There is a significant relationship between ERA and Wins.

QUESTION 21

Determine the estimated regression equation that could be used to predict the proportion of games won given the Home Runs and ERA.
What is your conclusion?

Do not Reject the Null Hypothesis: There is not a significant relationship between Home Runs, ERA and Wins.

Reject the Null Hypothesis: There is a significant relationship between Home Runs, ERA and Wins.

Reject the Null Hypothesis: There is not a significant relationship between Home Runs, ERA and Wins.

Do not Reject the Null Hypothesis: There is a significant relationship between Home Runs, ERA and Wins.

2

>Multiple Regression

), and the earned run average (

) for the

teams in the National League for the 200

Major League Baseball season.

HR ERA

19

.106

124

0.525 196

1

2

3

4

5

6

Take me out to the ball game.
In baseball a teams success is often thought to be a function of the team’s hitting and pitching performance. One measure of hitting performance is the number of home runs that team hits, and one measure of pitching performance is the earned run average for the teams pitching staff. It is generally believed that teams that hit more home runs and have a lower earned run average will win a higher percentage of games played. The following data show the proportion of games won, the number of home runs (

HR ERA 1 6 3
Team Won
Arizona 0.

5 152 3.857
Atlanta 0.623 235 4
Chicago 0.543 172 3.842
Cincinnati 0.426 182 5.127
Colorado 0.457 198 5.269
Florida 0.562 157 4.059
Houston 0.537 191 3.880
Los Angeles 0.525 124 3.162
Milwaukee 0.420 196 5.058
Montreal 0.512 144 4.027
New York 0.410 4.517
Philadelphia 0.531 166 4.072
Pittsburgh 0.463 163 4.664
San Diego 0.395 128 4.904
San Francisco 0.621 180 3.734
St Louis 4.642
Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.
Determine the estimated regression equation that could be used to predict the proportion of games won given the earned run average for the team’s pitching staff..
Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs and the earned run average for the team’s pitching staff..
Use the estimated regression equation developed in part (3) to estimate the percentage of games San Diego will win if they have 180 team home runs and have an earned run average of 4.0.
What is the multiple coefficient of determination which measures the goodness of fit for the estimated multiple regression equation.
Setup the hypothesis test for the multiple regression problem.

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