Question

In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ? = 17.6 + 3.8x1 - 2.3x2 + 7.6x3 + 2.7x4 For this estimated regression equation SST = 1805 and SSR = 1768. a. At ? = 0.05, test the significance of the relationship among the variables. SSE __ (to 1 decimal, if necessary) MSR (to 1 decimal, if necessary) MSE (to 2 decimals, if necessary) What is the value of the F test statistic (to 2 decimals)? Use Table 4 in Appendix B. _ What is the p-value? Using ? = 0.05, what is your conclusion? Suppose variables x1 and x4 are dropped from the model and the following estimated regression equation is obtained. ? = 11.1 - 3.6x2 + 8.1x3 For this model SST = 1805 and SSR = 1705. b. Compute SSE(x1, x2, x3, x4). _ (to 1 decimal, if necessary) c. Compute SSE(x2, x3). _ (to 1 decimal, if necessary) d. Use an F test and ? = 0.05 to determine whether x1 and x4 contribute significantly to the model. What is the value of the F test statistic (to 2 decimals)? Use Table 4 in Appendix B. _____ What is the p-value? What is your conclusion about the two variables x1 and x4?

          In a regression analysis involving 30 observations, the following estimated regression equation was obtained.

? = 17.6 + 3.8x1 - 2.3x2 + 7.6x3 + 2.7x4

For this estimated regression equation SST = 1805 and SSR = 1768.

a. At ? = 0.05, test the significance of the relationship among the variables.

SSE ______ (to 1 decimal, if necessary)
MSR ______ (to 1 decimal, if necessary)
MSE ______ (to 2 decimals, if necessary)

What is the value of the F test statistic (to 2 decimals)? Use Table 4 in Appendix B.

_______

What is the p-value?

Using ? = 0.05, what is your conclusion?

Suppose variables x1 and x4 are dropped from the model and the following estimated regression equation is obtained.

? = 11.1 - 3.6x2 + 8.1x3

For this model SST = 1805 and SSR = 1705.

b. Compute SSE(x1, x2, x3, x4).
_______ (to 1 decimal, if necessary)

c. Compute SSE(x2, x3).
_______ (to 1 decimal, if necessary)

d. Use an F test and ? = 0.05 to determine whether x1 and x4 contribute significantly to the model.

What is the value of the F test statistic (to 2 decimals)? Use Table 4 in Appendix B.

_______

What is the p-value?

What is your conclusion about the two variables x1 and x4?

In a regression analysis involving 30 observations, the following estimated regression equation was obtained.

? = 17.6 + 3.8x1 - 2.3x2 + 7.6x3 + 2.7x4

For this estimated regression equation SST = 1805 and SSR = 1768.

a. At ? = 0.05, test the significance of the relationship among the variables.

SSE (to 1 decimal, if necessary)
MSR (to 1 decimal, if necessary)
MSE (to 2 decimals, if necessary)

What is the value of the F test statistic (to 2 decimals)? Use Table 4 in Appendix B.

What is the p-value?

Using ? = 0.05, what is your conclusion?

Suppose variables x1 and x4 are dropped from the model and the following estimated regression equation is obtained.

? = 11.1 - 3.6x2 + 8.1x3

For this model SST = 1805 and SSR = 1705.

b. Compute SSE(x1, x2, x3, x4).
(to 1 decimal, if necessary)

c. Compute SSE(x2, x3).
(to 1 decimal, if necessary)

d. Use an F test and ? = 0.05 to determine whether x1 and x4 contribute significantly to the model.

What is the value of the F test statistic (to 2 decimals)? Use Table 4 in Appendix B.

What is the p-value?

What is your conclusion about the two variables x1 and x4?

Added by John M.

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