What is the 95% Confidence Interval for the true population slope between Wins and Saves?9)What is...

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What is the 95% Confidence Interval for the true population slope between Wins and Saves?

9)What is the standard error of the estimate and what are its units?

10)Determine if there is a significant relationship between Y and the explanatory variables in the model at alpha = .05.State the hypotheses, p-value, and the conclusion.

13) Perform a residual analysis of the plots of the residuals versus the predicted Y’s, and each of the independent variables?

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Homework #10 A baseball analyst would like to develop a model to predict the number of wins during the 2000 baseball season. The analyst collected several variables: Wins, ERA, Runs Scored, Hits Allowed, Walks Allowed, Errors, and Saves from 30 professional baseball teams. Summary OutputCorrelation MatrixRegression StatisticsWinsERAWin1Multiple R0.9504ERA-.65981R squared0.9032Run Scored.6101.0856Standard Error3.3463Hits Allowed-.5520.8600Observations30Walks Allowed-.2261.3105Saves.5320-.5985Errors-.1308.0540 ANOVA dfSSMSFSignificance F Regression42611.92652.9858.3123 2.59E-12 Residual25279.9511.198 Total292891.97 Coefficient Standard Error t Stat P-value Lower 95% Upper 95% Intercept b0 74.771 16.7626 4.4610 0.0002 40.2540 109.3003 ERA b1 -12.3206 3.2066 -3.8423 0.0007-18.9247 -5.7166 Run Scored b2 0.08433 0.0079 10.6414 9.0114E-110.0680 0.1007 Hits Allowed b3 -.0107 0.0163 -0.6563 0.5176-0.0441 0.0228 Saves b4 0.2731 0.1203 2.2703 0.03210.0254 0.5208 Part A: Correlation 1)Which variables are the dependent variables? The dependent variable is the number of Wins. 2)Which variables are the independent variables? The independent variable are ERA, Runs, Hits Allowed, Walks Allowed, Errors, and Saves. 3)Which 4 variables have the highest correlation with Wins? The highest correlation exists with ERA, Runs Scored, Hits Allowed, and Saves. Part B: Multiple Regression 4)What is the estimated regression equation when using the four variables that have the highest correlation values? Wins =...

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Robert · Accepted Answer

Homework #10
A baseball analyst would like to develop a model to predict the number of wins during the 2000 baseball 
season.  The analyst collected several variables: Wins, ERA, Runs Scored, Hits Allowed, Walks Allowed, Errors, 
and Saves from 30 professional baseball teams.
ANOVA 
   df  SS  MS  F  Significance F 
Regression  4  2611.92  652.98  58.3123   2.59E-12 
Residual   25  279.95  11.198   
Total   29  2891.97
               Coefficient      Standard Error           t Stat                 P-value            Lower 95%         Upper 95% 
Intercept         b0        74.771      16.7626          4.4610                0.0002              40.2540             109.3003 
ERA           b1         -12.3206      3.2066          -3.8423               0.0007 -18.9247             -5.7166 
Run Scored     b2            0.08433      0.0079          10.6414       9.0114E-11 0.0680              0.1007 
Hits Allowed  b3          -.0107      0.0163          -0.6563       0.5176 -0.0441              0.0228 
Saves          b4          0.2731      0.1203          2.2703       0.0321 0.0254              0.5208  
 
Part A: Correlation 
1) Which variables are the dependent variables? 
The dependent variable is the number of Wins. 
2) Which variables are the independent variables? 
The independent variable are ERA, Runs, Hits Allowed, Walks Allowed, Errors, and Saves.

What is the 95% Confidence Interval for the true population slope between Wins and Saves? 9)What is the standard error of the estimate and what are its units? 10)Determine if there is a significant...

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