In a multiple regression analysis with three independent variables the alternative hypothesis for conducting the test of the overall model is: HA : More than one βi ≠ 0.

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In a multiple regression analysis with three independent variables, the alternative hypothesis for testing the overall model significance is: $H_A : $ At least one $\beta_i \neq 0$, where $i$ ranges from 1 to the number of independent variables, not necessarily more than one.

In a Multiple Regression Analysis with Three Independent Variables the Alternative