I don't think hiding is a stat test, or at least a straight one. I failed to do it with, well, let's just say ridiculous stats.
I'll bet hiding is based on stealth power and running is based on evasion power.
EDIT: Well, I managed to run away (depriving myself of a spider drone memory too—curses!) with zero evasion power. So maybe that's based on reflexes. But I'm still betting hiding depends on stealth power.
EDIT AGAIN: Yep, did some more testing. I'm almost certain that hiding depends on stealth power. I managed to do it with 4. Maybe you could get away with less …