In a multiple regression equation, two independent variables are considered, and
ID: 3323522 • Letter: I
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.
b1 = 2.312 Sb1 = 0.81
b2 = -1.95 Sb2 = 0.77
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.)
H0: 1 = 0 H0: 2 = 0
H1: 1 0 H1: 2 0
H0 is rejected if t < -2.069 or t > 2.069
t for b1 coefficient =
t for b2 coefficient =
(Click to select)
Neither the first nor second
The first and second
The second
variable can be deleted.
Explanation / Answer
t for b1 coefficient = 2.312/0.81 = 2.854
t for b2 coefficient = -1.95/0.77 = - 2.532
Since both the t values lie in the critical region,
Neither the first nor second variable can be deleted.
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