statistic1
looking for someone to help me to solve these questions
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
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.
>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
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
1
Determine the estimated regression equation that could be used to predict the proportion of games won given the number of team home runs.
2
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..
3
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..
4
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.
5
What is the multiple coefficient of determination which measures the goodness of fit for the estimated multiple regression equation.
6
Setup the hypothesis test for the multiple regression problem.