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

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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


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