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    Multiple Regression

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    In a multiple regression equation two independent variables are considered, and the sample size is 25. The regression coefficients and the standard errors are as follows.

    b1=2.676-----sb1=0.56
    b2=-0.880----sb2=0.71

    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 0.5 significance level.

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    https://brainmass.com/statistics/regression-analysis/multiple-regression-4373

    Solution Preview

    The goal of this problem is to test if the independent variable has a coefficient of zero.
    <br>
    <br>
    <br>This is the null hypothesis:
    <br>
    <br>b1=b2=0
    <br>
    <br>On the other hand, the alternative hypothesis is that one of the betas is not equal to zero
    <br>b1 not equal to b2 not equal to 0.
    <br>
    <br>The way to test this is quite simple. You have to use a t-test. First thing is that we have to find the critical value of the ...

    Solution Summary

    The solution addresses a multiple regression equation two independent variables are considered, and the sample size is 25. The regression coefficients and the standard errors are as follows.

    b1=2.676-----sb1=0.56
    b2=-0.880----sb2=0.71

    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 0.5 significance level.

    $2.19

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