The Newtonian attraction turns out to be the main statistical effect in the sea of super-strong interacting gravitons, with bodies themselves being not sources of gravitons - only correlational properties of in and out fluxes of gravitons in their neighbourhood are changed due to an interaction with bodies. Other quantum effects of low-energy quantum gravity are the following ones: redshifts, their analog - a deceleration of massive bodies, and an additional relaxation of any light flux.