In a multiple regression analysis, two independent variables are considered, and the sample size is 26. The regression coefficients and the standard errors are as follows.
b1 = 1.468 | Sb1 = 0.89 |
b2 = ?1.084 | Sb2 = 0.88 |
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: ?1 = 0 | H0: ?2 = 0 | |
H1: ?1 ? 0 | H1: ?2 ? 0 | |
H0 is rejected if t < ?2.069 or t > 2.069 |
For X1:
Degree of freedom: df=n-2=24
The test statistics is
Since test statistics is not lie in the rejection region so we fail to reject the null hypothesis.
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For X2:
Degree of freedom: df=n-2=24
The test statistics is
Since test statistics is not lie in the rejection region so we fail to reject the null hypothesis.
That is both variables are not significant to model.
In a multiple regression analysis, two independent variables are considered, and the sample size is 26....
In a multiple regression analysis, two independent variables are considered, and the sample size is 26. The regression coefficients and the standard errors are as follows. b1 = 1.468 Sb1 = 0.89 b2 = −1.084 Sb2 = 0.88 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...
In a multiple regression analysis, 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 = −1.950 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 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round...
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