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

Question

In a multiple regression equation, two independent variables are considered, and the sample size is 26. 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 05 significance level. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.) H_0: beta_1 = 0 H_0: beta_2 = 0 H_1: beta_1 notequalto 0 H_1: beta_2 notequalto 0 H_0 is rejected if t 2.069 t for b_1 coefficient = t for b_2 coefficient = variable can be deleted.

Explanation / Answer

t for b1 coefficient =b1/sb1 =1.468/0.89=1.6494

t for b2 coefficient =b2/sb2 =-1.084/0.88=-1.2318

as t for both variable is not in critical region; therefore both variables can be deleted.

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