e. Interpret R2 and Ra2. f. Conduct the global utility test for the model. g. In
ID: 3177252 • Letter: E
Question
e. Interpret R2 and Ra2.
f. Conduct the global utility test for the model.
g. In a backwards elimination procedure, which variable would be removed first?
2. Minitab was used to fit the model Ely] Bo BiX1 BrX2 to n 20 data points and the following is the output. Coef Predictor SE Coef 0.000 506.346 45 17 11.21 Constant 0.003 275.08 941.9 0.274 -429.060 X2 379.83 1.13 S 94.251 R-sq 45.9% R-Sq (adj) 39. 6% Analysis of Variance DE SS Source MIS 64165 0.005 128329 Regression 7.22 151016 8883 Residual Error 17 27 9345 TotalExplanation / Answer
e. R2 is 45.9% which means that 45.9% of the variability in dependent variable Y is explained by x1 and x2 together.
Ra2 is 39.6% which means that after controlling for sample size and number of predictors 39.6% of the variability in dependent variable Y is explained by x1 and x2 together.
f. Test statistic for global utility test is F(2, 17)=7.22 with p-value=0.005. As p-value is less than 0.05, we have enough evidence to conlcude that the regression model is signficant in explaning the variations in Y.
g. As x1 is signficant with p-value=0.003<0.05 and x2 is not sigficant with p-value=0.274>0.05, so in a backwards elimination procedure, variable x2 would be removed first
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