Although not a statistical statement, there is a noticeable association between when the 1994-2004 assault weapon ban was in place and the observed decline in gun-related deaths. That ban also contained other provisions that will have affected availability of guns.
A decline of more than 6000 gun-related deaths per year appears to be associated with that legislation before it expired. See linked picture.
Another articles on this issue also has compelling graphs. The title of the paper could be its abstract..
S Chapman, P Alpers, K Agho, M Jones. 2006. Australia’s 1996 gun law reforms: faster falls in firearm
deaths, firearm suicides, and a decade without mass shootings. Injury Prevention 2006;12:365–372. doi: 10.1136/ip.2006.013714