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In multiple regression, if I wanted to determine the effect on the dependent variable of a...

In multiple regression, if I wanted to determine the effect on the dependent variable of a one unit increase in one independent variable, not if all other independent variables are held constant but for basically the value of the dependent variable after I fill out the regression equation with all of the estimated coefficients, how do I go about it? For example, if I wanted the effect of a one percent increase in x1 on the earnings of a 30 year old male (and x2 is age and x3 is male/female) (and y is earnings)? I'm asking just in general.

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Answer #1

Multiple regression equation will be given as

where

Where y is earning =Dependent variable

The change in the dependent variable should be interpreted as percentage point.

Here I have increased one percentage in x1 variable

Predicted percentage change in earnings will depend upon the regression coefficient

If there will be 0.3% increase in earnings

If there will be 0.5% increase in earnings

If​​​​​​​ there will be 1 % increase in earnings

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