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I estimate a multiple regression based on the following variables. The dependent

ID: 3314174 • Letter: I

Question

I estimate a multiple regression based on the following variables. The dependent variable is student test scores. The independent variables are mother’s education and father’s education, each measured in years, and the sex of the child, coded 0 if male and 1 if female. I obtain the following regression results:

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     Scores          |      Coef.   Std. Err.          

--------------------+--------------------------

       mom_ed    |         4.000   1.0000         

        dad_ed      |         2.000 .02500            

       sex              |         -5.000 1.0000       

       _cons          |       20.000 2.000     

What is the predicted test score for a female student whose father has ten years of education and whose mother has twenty years of education?

115

Explanation / Answer

Here, estimated a multiple regression for dependent variable student test score is,

score=20+4*mom_ed+ 2*dad_ed-5*sex

Here, we have to predict test score for a female student whose father has ten years of education and whose mother has twenty years of education.

Here, mom_ed= 20,dad_ed=10,sex=1

Then score=20+4*20+ 2*10-5*1=115

Thus,  predicted test score for a female student whose father has ten years of education and whose mother has twenty years of education is 115.