(Solved): In a regression analysis involving 30 observations, the following estimated regression equation was ...

In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ? = 17.6 +3.821 -2.3x2 + 7.6x3 +2.7x4 For this estimated regression equation SST = 1805 and SSR = 1772. a. At a = 0.05, test the significance of the relashionship among the variables. (to 1 decimal, if necessary) SSE (to 1 decimal, if necessary) MSR 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? - Select your answer - Using a = 0.05, what is your conclusion? - Select your answer - Suppose variables 1 and 4 are dropped from the model and the following estimated regression equation is obtained. ?= 11.1-3.6x2 +8.103 For this model SST 1805 and SSR = 1,705, b. Compute SSE(#1, #2, #3, #4). (to 1 decimal, if necessary) c. Compute SSE (X2, 23). (to 1 decimal, if necessary) d. Use an F test and a = 0.05 to determine whether #1 and 4 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? - Select your answer - What is your conclusion about the two variables #1 and 4? - Select your answer - ?