Asked by Marina Aschilean on Jul 11, 2024

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To test the validity of a multiple regression model,we test the null hypothesis that the regression coefficients are all zero by applying the:

A) F-test
B) t-test
C) z-test
D) None of these choices.

Regression Coefficients

Quantitative measures that assess the relationship between the dependent variable and each independent variable in regression analysis.

Null Hypothesis

A hypothesis that states there is no statistical significance between two variables and any observed difference is due to chance.

F-test

The F-test is a type of statistical test that determines if there are significant differences between the variances of two or more samples.

  • Conduct hypothesis tests on the regression coefficients and understand the significance of these tests.
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Verified Answer

KC
Keyhoon ChungJul 12, 2024
Final Answer :
A
Explanation :
To test the validity of a multiple regression model, we use the F-test, which tests the null hypothesis that all of the regression coefficients are zero. The F-test evaluates the overall significance of the model and determines whether any of the independent variables are statistically significant predictors of the dependent variable. The t-test and z-test are used for testing individual coefficients in simple linear regression models, not multiple regression models. Therefore, the best choice is A, the F-test.