Consider the following ANOVA table for a multiple regression model. Complete par

Question

Consider the following ANOVA table for a multiple regression model. Complete parts a through e below df Source Regression Residual Total MS 3,200 1600 20 25 2,000 27 5,200 80 a. What is the size of this sample? b. How many independent variables are in this model? c. Calculate the multiple coefficient of determination R -(Round to four decimal places as needed.) d. Test the significance of the overall regression model using a What are the null and alternative hypotheses for this test? 0.05 A. Ho: All B#0 (Relationship exists between the variables) H,: All p0 (No relationship between the variables) Ho: At least one ßi#0 (Relationship exists between the variables) H1: All P0 (No relationship between the variables) () B. ?. Ho: All ßi:0 (No relationship between the variables) HI : All ß#0 (Relationship exists between the variables) D. H: All 0 (No relationship between the variables) Hi: At least one B #0 (Relationship exists between the variables) ldentify the value of the test statistic.

Explanation / Answer

a) Size of sample = 27 + 1 = 28

b) Number of independent variables = 2 + 1 = 3

c) R2 = SSR/SST = 3200/5200 = 0.6154

d) Hypotheses: Option D is correct.

Test statistic = 20

p - Value = 0.000

Conclusion: Option A is correct.

e) Adjusted R2 = 0.5673

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