Regression Analysis for comparison of crime rates across a river

I need a bit of help refining a regression comparing crime rates of counties separated by a river. My current equation looks like:


Anyone have any ideas on a better regression design? Currently I have data on population, crime rates, and location. I also have data on law enforcement employment for certain counties.
It's hard to say what the best regression design would be without seeing the data. There are model selection methods (e.g. Akaike Information Criterion method) that can help select your model.

A very simple way to select your model is to find the one that grants the biggest adjusted R^2 value.

What are you using to model the data?
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