Source Regression Residual MS 75,766 40,950 15 1,136,483 1,433,258 35 2,569,741

Question

Source Regression Residual MS 75,766 40,950 15 1,136,483 1,433,258 35 2,569,741 50 Total (a) State the degrees of freedom for the F test for overall significance The degrees of freedom for regression are and for error (b) Use Appendix E to look up the critical value of F for = .05. (Round your answer to 2 decimal places.) F.05 (c-1) Calculate the F statistic. (Round your answer to 4 decimal places.) F statistic (C-2) The overall regression is significant. 0 Yes (c-3) The hypotheses is a. Ho: All the coefficients are zero (B,-2-3-0) vs. H1: At least one coefficient is not zero b. HO-At least one coefficient is non-zero vs. H1: All the coefficients are zero (81 = 2-3-0) (d) Calculate R2 and R2 adjs (Round your answers to 4 decimal places.) R2 R2 adj

Explanation / Answer

a)degree of freedom fr regression =15 and for error =35

b) for 15 and 35 df as well 0.05 level crtiical F =1.96

c-1) F test statistic =MSR/MSE =75766/40950 =1.85

c-2)as F test is less than crtiical value ;

therefore No

c-3)

option A is correct

d)

R2 =SSR/SST =1136483/2569741 =0.4423

R2adj =1-(SSr/df)/(SST/dft) =0.2032

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