Unfortunately this is not right, just the opposite. Look at Britain and various other countries please!
I'll let the first 2 google hits answer, okay?
https://www.theguardian.com/world/2013/sep/18/gun-ownership-gun-deaths-study
Their findings, published Wednesday in the prestigious American Journal of Medicine, debunk the historic belief among many people in the United States that guns make a country safer, they say. On the contrary, the US, with the most guns per head in the world, has the highest rate of deaths from firearms, while Japan, which has the lowest rate of gun ownership, has the least.
https://www.theguardian.com/news/datablog/2012/jul/22/gun-homicides-ownership-world-list
The second link has all the data you need. If you look at comparable countries (wealth and general war status) you will see that my point holds valid, yours not.
Oh, I'll add this graph, hit number 8 or so.
As far as social statistics go, this is a fairly exact linear trend.
http://mark.reid.name/blog/gun-deaths-vs-gun-ownership.html
Intersting outliers: Mexico, with the drug war. Germany, with very strict gun laws. Background checks and likely more important storage - for example the rifle in your home must be in a locked placed and (I don't know the english words) unable to shoot without putting a thing in (and of course not loaded with ammo, too).
Chile I don't know anything about.