In simple linear regression analysis, when testing for significance, the F test and the t test will always result in the same conclusion.

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In simple linear regression, the F test for the overall model significance and the t test for the slope coefficient essentially test the same hypothesis - whether there is a linear relationship between the predictor and the response variable. Therefore, they will always lead to the same conclusion about the significance of the relationship.

In Simple Linear Regression Analysis, When Testing for Significance, the F