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What is the R2?     What is the adjusted R2?     Explain the purpose of having an adjusted R2?

What is the R2?     What is the adjusted R2?     Explain the purpose of having an adjusted R2?

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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What is the R2?    
What is the adjusted R2?    
Explain the purpose of having an adjusted R2?
SUMMARY OUTPUT Regression Statistics Multiple R 0.9761368 R Square 0.9528431 Adjusted R Sc 0.9486514 Standard Erro 84.864073 Observations 50 ANOVA df SS MS Significance F Regression 4 6548422 1637105.5 227.31543 3.205E-29 Residual 45 324085.99 7201.9109 Total 49 6872508 Coefficients tandard Erroi t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 19.520368 56.459619 0.3457403 0.731149 -94.195142 133.23588 -94.195142 133.23588 Floor Area (Se 0.259969 0.0182476 14.246738 2.74E-18 0.2232164 0.2967216 0.2232164 0.2967216 Offices 74.272247 26.009425 2.8555897 0.006477 21.886575 126.65792 21.886575 126.65792 Entrances 49.31807 29.007488 1.7001841 0.095999 -9.1060107 107.74215 -9.1060107 107.74215 Age 0.9423287 0.9766529 0.9648553 0.3397741 -1.0247512 2.9094087 -1.0247512 2.9094087 Е. What is the R2? What is the adjusted R2? Explain the purpose of having an adjusted R2?
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R 0.9761368 R Square 0.9528431 Adjusted R Sc 0.9486514 Standard Erro 84.864073 Observations 50 ANOVA df SS MS Significance F Regression 4 6548422 1637105.5 227.31543 3.205E-29 Residual 45 324085.99 7201.9109 Total 49 6872508 Coefficients tandard Erroi t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 19.520368 56.459619 0.3457403 0.731149 -94.195142 133.23588 -94.195142 133.23588 Floor Area (Se 0.259969 0.0182476 14.246738 2.74E-18 0.2232164 0.2967216 0.2232164 0.2967216 Offices 74.272247 26.009425 2.8555897 0.006477 21.886575 126.65792 21.886575 126.65792 Entrances 49.31807 29.007488 1.7001841 0.095999 -9.1060107 107.74215 -9.1060107 107.74215 Age 0.9423287 0.9766529 0.9648553 0.3397741 -1.0247512 2.9094087 -1.0247512 2.9094087 Е. What is the R2? What is the adjusted R2? Explain the purpose of having an adjusted R2?
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