21. In a F test for significance in multiple linear regression, the following re

Question

21. In a F test for significance in multiple linear regression, the following results are found: Calculated F value-9.24 Critical F value 8.02 Based on these information, what is the conclusion? Accept Ho: All are equal to 0 and reject H : Not all are equal to 0 Reject Ho: All are equal to 0 and accept Hi:Not all are equal to 0 -Accept Ho: Not all are equal to 0 and reject Hi: All are equal to 0 DReject Ho: Not all Bare equal to 0 and accept H: AIl Bare equal to O Reject Ho: All are equal to 1 and accept Hi Not all are equal to 1 In a multiple linear regression analysis, 22. Multicollinearity refers to the correlation among the independent variables C B Malticolimearity rtes to the corclatioan among he independent variables F test is used to test for overall significance t test is used to test for individual significance E All of the above statements are correct randomized design, the following results are found: Calculated F value 4.16 23. When analysis of variance (ANOVA) is used to test for the equality of 3 (k 3) population means for a compl Critical F value 5.72 Based on these information, what is the conclusion? Accept He: and reject H,: Not all population means are equal e_ Rey Ho: A-n-f4 and accept H,: Not all population means are equal Accept Ho: Not all population means are equal and reject H: u O "Reject Ho: Not all population means are equal and accept Hi *A None of the above

Explanation / Answer

21) Answer: Option B

In f test of multiple linear regression, the null hypothesis is assumed to be all coefficients are equal to zero. Since the f statistic is greater than critical value, we reject null hypothesis

22) Answer: Option E. All are correct

23) Answer: Option A

Since the test statistic is less than the critical value, we fail to reject the null hypothesis.

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