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Interpret the following graphs for multiple linear regression and comment on the validity of model assumptions

Interpret the following graphs for multiple linear regression and comment on the validity of model assumptions

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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Interpret the following graphs for multiple linear regression and comment on the validity of model assumptions

 

Residual Residual Percent 20 10 0 -10 20 10 0 -10 -20 25 20 15 10 5 0 no T -3 -2 -1 180 о 10 20 30 40 Predicted Value 0 Quantile 1 -18 -10 -2 6 Residual T 2 O 0 3 T 14 22 Fit Diagnostics for BodyFat RStudent BodyFat -2 50 40 30 20 10 0 30 20 10 0 。00, -10- 0 A 10 20 Boo A Fit-Mean 0 Predicted Value 0 30 40 10 20 Predicted Value 00 0 30 40 50 Residual 0 0.0 0.4 0.8 0.0 0.4 0.8 Proportion Less RStudent Cook's D 2 O -2 0.15 0.10 0.05 0.00 O 8 0 0.0 0.1 O 0.2 0.3 Leverage 0 the 0 50 100 150 200 250 Observation Observations 252 Parameters 9 Error DF 243 MSE 34.95 R-Square 0.5169 Adj R-Square 0.501
Transcribed Image Text:Residual Residual Percent 20 10 0 -10 20 10 0 -10 -20 25 20 15 10 5 0 no T -3 -2 -1 180 о 10 20 30 40 Predicted Value 0 Quantile 1 -18 -10 -2 6 Residual T 2 O 0 3 T 14 22 Fit Diagnostics for BodyFat RStudent BodyFat -2 50 40 30 20 10 0 30 20 10 0 。00, -10- 0 A 10 20 Boo A Fit-Mean 0 Predicted Value 0 30 40 10 20 Predicted Value 00 0 30 40 50 Residual 0 0.0 0.4 0.8 0.0 0.4 0.8 Proportion Less RStudent Cook's D 2 O -2 0.15 0.10 0.05 0.00 O 8 0 0.0 0.1 O 0.2 0.3 Leverage 0 the 0 50 100 150 200 250 Observation Observations 252 Parameters 9 Error DF 243 MSE 34.95 R-Square 0.5169 Adj R-Square 0.501
BodyFat= -40.487 +0.3199 Age +0.2857 Neck +0.9816 Thigh +0.1323 Knee +0.0679 Ankle +0.1986 Biceps +0.4213 Forearm -2.6906 Wrist 25 Residual 20 15 10- 0 -5 -10- -15 ++ + + 0 + + 25 50 75 100 ++ + 125 150 Observation Number +++ + 175 + 200 + + + 225 + 250 275 N 252 Rsq 0.5169 AdjRsq 0.5010 RMSE 5.9118
Transcribed Image Text:BodyFat= -40.487 +0.3199 Age +0.2857 Neck +0.9816 Thigh +0.1323 Knee +0.0679 Ankle +0.1986 Biceps +0.4213 Forearm -2.6906 Wrist 25 Residual 20 15 10- 0 -5 -10- -15 ++ + + 0 + + 25 50 75 100 ++ + 125 150 Observation Number +++ + 175 + 200 + + + 225 + 250 275 N 252 Rsq 0.5169 AdjRsq 0.5010 RMSE 5.9118
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