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In a multiple regression analysis, two independent variables are considered, and

ID: 2949462 • Letter: I

Question

In a multiple regression analysis, two independent variables are considered, and the sample size is 27. The regression coefficients and the standard errors are as follows.

Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

H0 is rejected if t < ?2.064 or t > 2.064

b1 = 1.670 Sb1 = 0.52 b2 = ?2.018 Sb2 = 0.65

Explanation / Answer

t for b1 coefficient =b1/sb1 = 1.670/0.52 =3.21153

t for b2 coefficient = b2/sb2 = -2.018/0.65 = 3.10461

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