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In a Regression Analysis of a First-Order Model Involving 3

Question 14

Multiple Choice

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed.   = 12 - 18x<sub>1</sub> + 4x<sub>2</sub> + 15x<sub>3</sub> Also, the following standard errors and the sum of squares were obtained. S<sub>b</sub><sub>1</sub><sub> </sub>= 3 S<sub>b</sub><sub>2</sub><sub> </sub>= 6 S<sub>b</sub><sub>3 </sub>= 7 SST = 4900 SSE = 1296 ​ At the 5% level, the coefficient of x<sub>1</sub> A)  is significant. B)  is not found to be significant. C)  cannot be tested, because not enough information is provided. D)  should be estimated again, because it is incorrect in the above equation. = 12 - 18x1 + 4x2 + 15x3 Also, the following standard errors and the sum of squares were obtained.
Sb1 = 3
Sb2 = 6
Sb3 = 7
SST = 4900
SSE = 1296

At the 5% level, the coefficient of x1


A) is significant.
B) is not found to be significant.
C) cannot be tested, because not enough information is provided.
D) should be estimated again, because it is incorrect in the above equation.

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