The following two statements are equivalent in meaning: A.The test of significance for a specific regression coefficient in a multiple regression model is a test of significance for adding that variable into the model given the other variable is included. B.The t test for a regression coefficient is actually a test for the contribution of that independent variable.

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Both statements essentially mean that the significance test for a regression coefficient is testing the importance or contribution of a specific independent variable in the model while controlling for the other variables already included. Therefore, the two statements are equivalent in meaning. The two statements are equivalent and both refer to the test of significance for a specific regression coefficient in a multiple regression model, which assesses whether adding that variable into the model provides a significant contribution to the prediction of the dependent variable, given that the other variables are already included. The t test for the coefficient is used to determine whether the estimated coefficient is significantly different from zero, indicating that the corresponding independent variable has a significant effect on the dependent variable. Therefore, statement A and B convey the same meaning.

The Following Two Statements Are Equivalent in Meaning: A