If your scope has a turret adjustment value(TAV) of 1/4"@100y, meaning each individual 'click' you move the turret knob moves your point of impact 1/4" at 100 yards...then at 25 yards, each individual click of the turret knob will move your point of impact 1/16"!
You were correct in your math, as for how many 'clicks' at 25 yards you need to 'dial on' to move your point of impact 1"....if each click moves you 1/16", how many 1/16"'s are in an inch.....?
It would take 16 'clicks' to move your point of impact 1" at 25 yards if your scope adjusted as explained above (1/4"@100y).
With your Mini-14, at 25y, you should sight in around a couple inches LOW at 25 yards, to be close to zero at 100y. In other words, your bullet holes should be around 2" BELOW your point of aim, shooting at 25 yards.