Caroline has constructed a multiple regression model and has conducted an F test

Question

Caroline has constructed a multiple regression model and has conducted an F test of the model at a level of significance of 0.05. The model has four independent variables. The result of the F test was that the null hypothesis was rejected. Select the appropriate conclusion that can be drawn:

at least one of the regression coefficients is non-zero the dependent variable is not related to any of the independent variables exactly one of the regression coefficients is non-zero all of the regression coefficients are non-zero all of the regression coefficients are zero

Explanation / Answer

At least one of the regression coefficients is non-zero because the alternative hypothesis this says when the null hypothesis is rejected

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