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), and the earned run average (ERA) for the 16 teams in the National League for the 2003 Major League Baseball season.

Team Won HR ERA

Arizona 0.519 152 3.857

Atlanta 0.623 235 4.106

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

LA 0.525 124 3.162

Milwaukee 0.420 196 5.058

Montreal 0.512 144 4.027

New York 0.410 124 4.517

Philly 0.531 166 4.072

Pittsburgh 0.463 163 4.664

San Diego 0.395 128 4.904

San Fran 0.621 180 3.734

St Louis 0.525 196 4.642

PLEASE DO NOT ANSWER WITH PERCENTAGES IF THE QUESTION DOES NOT ASK FOR PERCENTAGE

(Ex. 79.54% NO

.7954 YES)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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: 1 = 0

H0: 1 not = 0

Ha: 1 = 0

Ha: 1 not = 0

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: 1 = 0

H0: 1 not = 0

Ha: 1 = 0

Ha: 1 not = 0

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: 1 = 2 = 0

H0: 1 not = 2 not = 0

Ha: 1 = 2 = 0

Ha: 1 not = 2 not = 0

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.

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 betweenERA and Wins.

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