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When multiple regression analysis shows that variable Xi does not significantly affect the dependent variable Y,...

When multiple regression analysis shows that variable Xi does not significantly affect the dependent variable Y, it does necessary follow that Xi has no influence over Y? Explain and justify your answer. (10 POINTS)

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Answer #1

In the simple regression,it is tested the slope of coefficient to determine whether sufficient evidence existed method to allow us to conclude that there was lenear relationship between the independent variable and the dependent variable.Beacuse there is one independent variable in that model,that same t-test also tested to determine whether that model is valid.when there is more than one independent variable ,we need another method to test overall validity of the model

To test the validity of the regression model we specify the following hypotheses

H0-

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