Please note that the filled in answers have been verified as

Please note that the filled in answers have been verified as being correct. Here is the problem: Refer to the ANOVA table for this regression. Source Regression Residual d.f ,192,019 20 1,602,669 45 2,794,688 65 MS 59,601 35,615 Total (a) State the degrees of freedom for the F test for overall significance. The degrees of freedom for regression are 20 and for error 45 (b) Use Appendix F to look up the critical value of F for -05 (Round your answer to 2 decimal places.) (c-1) Calculate the F statistic. (Round your answer to 4 decimal places.) F statistic (c-2) The overall regression is significant. No Yes

Solution

Answer for B

F(0.05,20,45)=1.81 from F table

Answer for C)

F STATISTIC= MS of Regression/ MS of Residuals=596/356=1

6741

Answer for D)

R squared = SS for regressors /Total SS=11.92/27.94=0.4266

R squared adjusted= (1-(1-R^2)*(n-1)/(n-p-1))=1-(MSE/MST)=

1-(596/952)=1-0.6260=0.3840