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Thread: Simple regression model but needs improvement

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    Simple regression model but needs improvement

    I have been working on trying to fit a linear regression line to try to predict college gpa where the the prediction variables are high school GPA(X1) , SAT(X2),ACT (X3), and whether your from a rural/urban area(qualitative variable) (X4). So far I have eliminated Act scores because that showed a weak correlation with college gpa. I've kept the rest of the others in the model.
    Attachment 5144
    This is the full step wise regression and X3 has a large p-value so I removed it from the model.
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    So I chose Y~X1+X2+X4 and show the plots of residuals of this model. From these plots I see the residuals vs each predictor look good to me (with a few outliers) as that is to be expected in this case. The residuals look randomly distributed around the x=0 line. The qq plot looks decent to me. I've tried adding in interaction terms but I get large p-values due to high multicollinearity possibly, which I think I should not add. I also do not think transformations would be appropriate in this case as the residuals show no signs of a trend. I'm trying to develop the best model I can and what I have above is the best I got so far . Any opinions would be great on what I can try would be great. Thanks.

    Im not exactly sure why i get no postings. Its about the third time already....
    Last edited by raidernation; 03-08-2015 at 03:03 AM.

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