Correlation
One thing apparent from this snapshot is that, just using raw numbers, ignoring the local dynamics of any given segment, one cannot correlate guns to crime -- either way.
For every example of "see, more guns is more crime" there is a balancing "see, more guns is less crime" example.
More informative (and much harder to do) would be a graph of trends.
Take a given state, and run the numbers for a sequence of ten years or twenty years. You'll get a trend for that state. Take another state and do the same thing. If the preponderance of trends shows a decrease in violent crime as guns increase for several states then you have a homogeneous enough dataset that you can derive meaning from it.
Population density is clearly a meaningful factor.
Also important is the legal/enforcement climate. Giuliani takes credit for reducing "gun crime" in New York by virtue of "gun control" but in fact he created an enforcement climate where jaywalking could get you a busted skull. When looking cross-eyed at a cop will get you a "nightstick tan" then a lot of "out in the open" crime will dry up. It wasn't gun control, it was punk control.
Because these state-specific influences will bend the otherwise "pure" numbers, you kind of have to build your trends by state.
So, for Florida, when shall-issue CCW was introduced, what were the trends?
For Illinois (or is it Wisconsin?), where only the king and his entourage may carry, what are the trends?
Another meaningful comparison might be side-by-side with states having similar gun laws and carry restrictions. That is, can one fairly compare Arizona with Texas, given that one allows open carry and the other does not? Arizona along with, say, Nevada and Idaho might be more meaningful. And with what other state could you compare California? Or do you have to go to Europe for that?
That would be an interesting graph set, but surely a lot of work.