Regression Analysis: Weeks versus Age, Educ, Married, Head, Tenure, Manager, Sal

Question

Regression Analysis: Weeks versus Age, Educ, Married, Head, Tenure, Manager, Sales Backward Elimination of Terms Candidate terms Age, Educ, Married, Head, Tenure, Manager, Sales Step 3 Coef 13.1 Step 1-- Step 2 Coef 22.9 1.509 0.613 10.74 -19.78 0.426 -26.74 18.56 Coef 13.6 1.521 Constant Age Educ Married Head Tenure Manager Sales 0.000 0.000 0.516 0.081 0.002 0.366 0.003 0.005 9.85 19.01 0.373 27.71 18.99 0.098 0.002 0.418 0.001 0.004 16.1794 16.3497 59.14% 52.33% 43.80% 8.00 16.2408 R-sq R-sq(adj) R-sq(pred) Mallows' Cp 46.00% 6.43 46.60% 5.09 to remove = 0.1 14. If Step 3 produces the final backward elimination model for this level, which of the predictors below will not be in it? Education Married IV.Tenure A. I and II only. B. I and III only. C. II and IV only. D. II, III, and IV only. E. IV only 15. For the model at Step 2, which of the following must be correct: A. The adjusted R-squared is lower than the model at Step 1 B. The multiple R-squared is higher than the model at Step 1. C. The multiple R-squared is higher than the model at Step 3. D. Both A and C. E. None of the above.

Explanation / Answer

14) Option D , i.e. II , III & IV Only , since its p-value > 0.05

15) Option D, i.e. Both A & C, as adding or deleting variables improve R square

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