When the F test is used to test the overall significance of a multiple regression model,if the null hypothesis is rejected,it can be concluded that all of the independent variables x₁,x₂,... ,x_k are significantly related to the dependent variable y.

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Rejecting the null hypothesis in an F test for a multiple regression model indicates that at least one of the independent variables is significantly related to the dependent variable, not necessarily all of them.

When the F Test Is Used to Test the Overall