In a multiple regression model, the utility of the model can be tested with a t test.

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In a multiple regression model, the overall utility of the model is typically tested with an F-test, not a t-test. The F-test assesses whether at least one predictor variable has a non-zero coefficient, essentially testing the null hypothesis that all coefficients (except the intercept) are zero. T-tests are used to assess the significance of individual predictors within the model.

In a Multiple Regression Model, the Utility of the Model