That's cool... you're going to objectively evaluate the results from a subjective viewpoint.
Given that no room is "perfect" and that most have serious flaws, there is a likely benefit to EQ... it just might not turn out to be the curve you think it ought to be.
But a unit like the aforementioned Behringer can analyze your room and show you what frequency bands have the most deviation from flat. It can also correct across the full audio spectrum and provide various filtering effects.
However, just like some amps sound better than other amps, some EQ's sound a lot better than other EQ's. They're not all created equal.
I've gotten very good results using a dbx 14/10, which can store up to 10 curves... in effect you can equalize each of your source components to your taste, or use different curves to tame down bright recordings, or recordings with too little, or too much bass. However you must be sensible when applying bass boost.
I'd say start with the Behringer, because at least that will show you where the peaks and dips are...and it probably has the widest variety of settings and filters and the ways it can be adjusted. What complicates matters is that in addition to the different EQ's sounding "different," they all have different features and settings.