The ANOVA summary table to the right is for a multiple regression model with sev

Question

The ANOVA summary table to the right is for a multiple regression model with seven independent variables. Complete parts (a) through (e).

The ANOVA summary table to the right is for a multiple regression model with seven independent variables. Complete parts (a) through (e) Degrees of Source Freedom Squares Sum of Regression Error Total 90 110 200 a. Determine the regression mean square (MSR) and the mean square error (MSE) MSR(Round to four decimal places as needed.) MSE-(Round to four decimal places as needed.) b. Compute the overall F FSTAT (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent variables at the 0.05 level of significance. Choose the correct answer STAT test statistic. below O A. There is sufficient evidence of a linear relationship because the test statistic is less than the critical value 0 B. There is insufficient evidence of a linear relationship because the test statistic is greater than the critical value ° C. There is sufficient evidence of a linear relationship because the test statistic is greater than the critical value 0 D. There is insufficient evidence of a linear relationship because the test statistic is less than the critical value

Explanation / Answer

from above MSR =12.8571

MSE =12.2222

b)F =1.0519

c)

option D is correct

d)

r2 =SSR/SST =0.45

indicates that 45% of the variation in the dependent variable..............in the independent variables

e)

r2adj =1-MSE/(SST/(n-1))=0.0222

source df SS MS F regression 7 90 12.8571 1.0519 error 9 110 12.2222 total 16 200

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