There is a formula, but there are so many variables that I doubt it’s all that reliable.
What variables? Does your rifle barrel extend and retract? If you are capable of taking accurate measurements the results will be exact.
Variables like bullet weight, bullet shape and BC, powder charge, etc. - anything that affects trajectory.
I see what you mean by exact results in one rifle with one specific load, but if I read the OP correctly, he’s asking if there’s a repeatable, “standard” set of measurements that applies to elevators on marlin lever guns. Eg, one step up=X MOA. It just isn’t going to work that way without controlling the variables I listed above.
He can develop his own scale for his rifle and his load once he figures that out, but he was asking us if figuring it out for himself is necessary, or if there’s a standard out there that’ll do it for him.
The point of impact will always change exactly the same, there are no variables to this. It is the same as 1/4"(moa) click adjustments on a scope, it doesn't matter is the bullet is 500gr. going 1000fps or a 50gr. bullet at 4000fps, the change in poi is always the same. Different loads out of the same gun of course usually strike to a different point of impact, but the sight adjusments per notch are always the same value. It is not that difficult to work out the math for this, Now manually laying out old school non DRO or CAD say 15 8.35mm holes on a 3079.6mm circle with an manual milling machine requires some pencil time.....