For a model containing only the single predictor smoking frequency (X1), does ad

Question

For a model containing only the single predictor smoking frequency (X1), does adding gender (X2 )and blood pressure (X3) significantly improve prediction of Lung Cancer? What is your conclusion at a = 0.05? Please choose useful values from following information to answer the question. Full Model Source d.f. SS MS 982.09 Regression (X1, X, X3) Residual 3 327.36 59 260.87 .42 Total 62 1242.96 Reduced Model Source d.f. SS MS Regression (X1) 1 813.62 813.62 Residual 61 429.34 7.04 Total 62 1242.96 a = 0.1, Fo9,59,2 ) = 2.39; a = 0.05, Fo.95,59,2) 15; a = .01, Fo.99,59,2 ) = 4.98; = 3.0 o Reject H, in favor of H. . O Neither reject HI, or H. O None of these answers are correct o Fail to reject Ho.

Explanation / Answer

F statistic = MSR / MSE

In both the models, F calculated value is greater than the critical value at 0.05 significance level i.e. 3.15 and hence, we reject Ho in favor of Ha.

Option A is correct.

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