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

Question 5

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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><sub> </sub>= 7 SST = 4900 SSE = 1296 At the .01 level of significance, the coefficient of x<sub>3</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 .01 level of significance, the coefficient of x3


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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