I think keith is spot on.
Your hunting style and terrain dictate your scope selection, if you hunt open country a 6x will work well. Mixed terrain will change things a lot. Waist high sage, manzanitas and greasewood can have coyotes at your shoelaces before you see them, sitting on a mound 300yrds away, sneaking across an opening or coming down a hillside out there a ways.
I like a 1.5x6 scope on a bolt gun and most of my shots are on 1.5x. On a combo gun I use a 1x4. I always keep them on the lowest power, it's hard to dial them down on a close shot but you have plenty of time to dial them up when a coyote is out there a ways.
A coyotes kill zone is fairly large and it isn't that hard to make long shots even on 1x or 1.5x.
