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Suppose you have estimated the parameters of a population regression function with 1 dependent and 4 independent variables (along with an intercept parameter) in Excel.

Suppose you have estimated the parameters of a population regression function with 1 dependent and 4 independent variables (along with an intercept parameter) in Excel. The table below summarizes your findings.

Coefficient Standard Error Lower 95% Upper 95%
Intercept 0.025 0.01 0.005 0.045
X Var 1 0.3 0.5 -0.7 1.3
X Var 2 0.12 0.02 0.08 0.16
X Var 3 0.07 0.2 -0.33 0.47
X Var 4 0.9 1.3 -1.7 3.5

In the table above,X Var 1 represents the estimated parameter associated with the first independent variable. X Var 2 represents the estimated parameter fo the second independent variable. And so on.

Other than the intercept,:

a. the third and the fourth independent variables are significant determinants for the dependent variable. The remaining parameters are statistically no different from zero.

b. only the second independent variable is a significant determinant for the dependent variable. The remaining parameters are statistically no different from zero.

c. the first and the second independent variables are significant determinants for the dependent variable. The remaining parameters are statistically no different from zero.

d. the first, the third, and the fourth independent variables are significant determinants for the dependent variable. The parameter for the second independent variable is statistically no different from zero.

e. all independent variables are significant determinants of the dependent variable.

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