What is the estimated regression equation

What is the estimated regression equation?

            y(hat) = -21.873x3-0.099x2-0.480x1+8.440

            y(hat) = -21.873-0.099x1

            y(hat) = 3.178+.015x1+0.200x2+0.410x3

            y(hat) = -21.873-0.099x1-0.480x2+8.440x3

What is the interpretation of the coefficient of X1?

            A one unit change in X1 will lead to a 0.099 unit decrease in Y.

            A one unit increase in Y will lead to a 0.099 unit decrease in X1 when all other variables are held constant.

            A one unit increase in X1 will lead to a 0.099 unit decrease in X2.

            A one unit increase in X1 will lead to a 0.099 unit decrease in Y when all other variables are held constant.

What is the test statistic for whether B1 (beta1) is significant?

Answer

            t = 1.17

            F = 193

            t = -6.6

            t = 6.6

Is the parameter B1 (beta1) significant at a 1% level?

            Yes - reject the null hypothesis B1=0

            Yes - do not reject the null hypothesis B1=0

            No - do not reject the null hypothesis B1=0

            No - reject the null hypothesis B1=0

Is the parameter B2 (beta2) significant at a 1% level?

            Yes - reject the null hypothesis B2=0

            No - do not reject the null hypothesis B2=0

            Yes - do not reject the null hypothesis B2=0

            No - reject the null hypothesis B2=0

What is the MSR?

            22878.8

            68636.4

            7626.3

            39.5

If you were to do a Backward Elimination based on the p-value of the t-statistic and an alpha to remove of 0.05, would you remove any variable in the first step and if so which one?

Answer

            Yes you would remove X1.

            No you would not remove any.

            Yes you would remove X3.

            Yes you would remove X2