7 A particular multiple regression model has 3 independent variables, the total

Question

7 A particular multiple regression model has 3 independent variables, the total number of observations is 40. What is the value of the standard error of estimate? the sum of the squared error is 7680, and A. 256 B. 14.61 C. 213.33 D. 16 8. All of the following are assumptions of the error terms in the simple linear regression model except A) Error terms are dependent on each other. B) Errors are normally distributed. C) Error terms have a mean of zero. D) Error terms have a constant variance. 9. In testing the hypotheses: Hoa-0 vs. H : # 0, the following statistics are available: s-10, b?- i 8. b, 2.45, s 1.20, and -6. The value of the test statistic is: A)-1.50 B) 0.306 C) 2.042 D) -0.300 10. The correlation coefficient may take any value between A) -1, and 0 B) 0 and 1 C) 0 and 100 D) -1, and I1

Explanation / Answer

7) Given that there are three independent variables

SSE = 7680

Number of observations (n)= 40

Standard error of estimate (SE) = 7680 / sqrt(40-2) = 7680 / sqrt(38) = 14.22

Second option is correct.

8) The answer will be error terms are dependent on each other.

Option A) is correct.

And remaining three are the assumptions.

9) Here we have to test the hypothesis that,

H0 : B1 = 0      Vs        H1 : B1 not= 0

Where B1 is the population slope.

The test statistic is,

T = b1 / Sb1 = 2.45 / 1.20 = 2.042

Option c) is correct.

10) The correlation coefficient may take any value between -1 and 1.

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