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Calculate the estimated R2 and state why we should consider using adjusted R2 instead of R2 in the setting of multiple linear regression?

Calculate the estimated R2 and state why we should consider using adjusted R2 instead of R2 in the setting of multiple linear regression?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Calculate the estimated R2 and state why we should consider using adjusted R2 instead of R2 in the setting of multiple linear regression?

Response Height Whole Model Actual by Predicted Plot 80 Height Actual 75 70- Height Residual 65 60 Effect Summary Source LogWorth LeftFoot LeftArm HeadCirc Nose 60 NO Residual by Predicted Plot 6 4 -4 65 70 75 Height Predicted RMSE=2.1834 RSq=0.77 PValue=<.0001 60 6.885 4.679 0.227 0.116 Summary of Fit RSquare RSquare Adj Source Model Error C. Total 65 Root Mean Square Error Mean of Response Observations (or Sum Wgts) Analysis of Variance 70 Height Predicted 0.774018 0.755939 2.183363 68.30909 55 Sum of DF Squares Mean Square 816.3917 4 204.098 4.767 50 238.3537 54 1054.7455 80 F Ratio 42.8141 Prob > F <.0001* Parameter Estimates Term Estimate Std Error t Ratio Prob>|t| Intercept 18.502649 7.830309 2.36 0.0221* LeftArm 0.8020485 0.170743 4.70 <.0001* Nose -0.1474 0.492332 -0.30 0.7659 HeadCirc 0.0805215 0.149519 0.54 0.5926 LeftFoot 0.9973003 0.162299 6.14 <.0001* PValue 0.00000 0.00002 0.59260 0.76588 75 80 LeftArm Leverage Plot 80 75 75 L DE L 70 70 65 60 22 26 28 24 LeftArm Leverage, P<.0001 30 Nose Leverage Plot 80 75 70 65 60 4 5 6 Nose Leverage, P=0.7659 7 HeadCirc Leverage Plot 80 75 70 65 60 52 54 ܗܘܐ 56 58 60 HeadCirc Leverage, P=0.5926 LeftFoot Leverage Plot 80 62 60 20 22 24 26 28 LeftFoot Leverage, P<.0001 30 32
Transcribed Image Text:Response Height Whole Model Actual by Predicted Plot 80 Height Actual 75 70- Height Residual 65 60 Effect Summary Source LogWorth LeftFoot LeftArm HeadCirc Nose 60 NO Residual by Predicted Plot 6 4 -4 65 70 75 Height Predicted RMSE=2.1834 RSq=0.77 PValue=<.0001 60 6.885 4.679 0.227 0.116 Summary of Fit RSquare RSquare Adj Source Model Error C. Total 65 Root Mean Square Error Mean of Response Observations (or Sum Wgts) Analysis of Variance 70 Height Predicted 0.774018 0.755939 2.183363 68.30909 55 Sum of DF Squares Mean Square 816.3917 4 204.098 4.767 50 238.3537 54 1054.7455 80 F Ratio 42.8141 Prob > F <.0001* Parameter Estimates Term Estimate Std Error t Ratio Prob>|t| Intercept 18.502649 7.830309 2.36 0.0221* LeftArm 0.8020485 0.170743 4.70 <.0001* Nose -0.1474 0.492332 -0.30 0.7659 HeadCirc 0.0805215 0.149519 0.54 0.5926 LeftFoot 0.9973003 0.162299 6.14 <.0001* PValue 0.00000 0.00002 0.59260 0.76588 75 80 LeftArm Leverage Plot 80 75 75 L DE L 70 70 65 60 22 26 28 24 LeftArm Leverage, P<.0001 30 Nose Leverage Plot 80 75 70 65 60 4 5 6 Nose Leverage, P=0.7659 7 HeadCirc Leverage Plot 80 75 70 65 60 52 54 ܗܘܐ 56 58 60 HeadCirc Leverage, P=0.5926 LeftFoot Leverage Plot 80 62 60 20 22 24 26 28 LeftFoot Leverage, P<.0001 30 32
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