Question

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

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

ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4

For this estimated regression equation, SST = 1,805 and SSR = 1,770

a. Find the value of the test statistic. (Round your answer to two decimal places.) _________

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

ŷ = 11.1 − 3.6x2 + 8.1x3

Compute SSE(x1, x2, x3, x4). _____________

c. Use an F test and a 0.05 level of significance to determine whether x1 and x4 contribute significantly to the model.

Find the value of the test statistic. (Round your answer to two decimal places.) ________

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