Question

The regression equation is Y=16.1+0.111X⁢1-0.664X⁢2-0.028X⁢3 Predictor Coef SE Coef T P Constant 16.079 28.209 0.57 0.573...

The regression equation is
Y=16.1+0.111X⁢1-0.664X⁢2-0.028X⁢3

Predictor Coef SE Coef T P
Constant 16.079 28.209 0.57 0.573
X⁢1 0.1114 0.8569 0.13 0.897
X⁢2 -0.6636 -0.2562 2.59 0.020
X⁢3 0.0281 -0.0122 -2.30 0.035
S=4.81664 R-Sq=41.6% R-Sq(adj)=30.7%
Analysis of Variance
Source DF SS MS F P
Regression 3 264.8 88.28 3.81 0.031
Residual Error 16 371.2 23.2
Total 19 636.0

(a) Which variable might we try eliminating first to possibly improve this model

b) What is R2 for this model?

Do we expect R2 to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)?

What type of change in R2 would indicate that removing the variable in part (a) was a good idea?

A bad idea?

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