In multiple regression, the response variable is not linearly related to one or

Question

In multiple regression, the response variable is not linearly related to one or more of the explanatory variables. What should be done? Choose the correct answer below. Find a different response variable that would be linearly related to all explanatory variables. Perform an analysis with and without the explanatory variables that are not linearly related to the response variable and report both analyses. Do nothing, as it is not important that the response variable be linearly related to all of the explanatory variables in multiple regression. Remove the explanatory variables that are not linearly related to the response variable. Try transforming the response variable first to straighten the relationship between the response variable and each explanatory variable. A transformation of the explanatory variables may also have to be performed.

Explanation / Answer

Option (E).

A multiple regression model is based on the linear relationship betewwn explanatory and response variables, therefore if a linear relationship is not see, the response variable should be transformed to check for linearity. That is the first step. If this fails, other options can be exercised.

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