Consider a portion of simple linear regression results, = 105.40 + 39.17x1; SSE = 407,308, n

Consider a portion of simple linear regression results,

ŷ = 105.40 + 39.17x1; SSE = 407,308, n = 30 In an attempt to improve the results, two explanatory variables are added. A portion of the regression results are

ŷ = 4.87 + 19.47x1 − 26.31x2 + 7.31x3;

SSE = 344,784, n = 30

a. Formulate the hypotheses to determine whether x2 and x3 are jointly significant in explaining y.

b. Calculate the value of the test statistic.

c. At the 5% significance level, find the critical value(s).

d. What is the conclusion to the test?

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