Suppose you are given the following multiple regression output: Should x2 be inc

Question

Suppose you are given the following multiple regression output:

Should x2 be included in the regression model? Why? Test at a 5% level of significance.

a) Yes, since it is significant

b) No, since it is significant

c) Yes, since it is not significant

d) No, since it is not significant

SUMMARY OUTPUT Regression Statistics MultipleR R Square Adjusted R Square Standard Error Observations 0.974176 0.949018 0.936273 1.975746 ANOVA Significance F 0.000007 MS Regression Residual Total 2 581.3169 290.6584 74.45961 8 31.22857 3.903572 10 612.5455 Coefficientandard Err t Stat P-value Lower 95% Upper 95% 1.72281.424445 1.209428 0.261023-1.56201175 5.007539868 0.5524 0.218383 2.52949 0.035283 0.048805526 0.8119 0.719102 1.129034 0.291599 -0.846361987 2.470142854 Intercept 1.055988 x2

Explanation / Answer

No, x2 should not be included in the regression model because the corresponding p - value is greater than 0.05 and hence, we can conclude that x2 is not significant in the prediction of y.

Option D is correct.

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