I'm a middle school SCIENCE teacher, and I'd buy it. Once you include magic, all bets are off, really. All I'd say is this: if you can, be clear about exactly what the magic is adding to the machine and then stay consistent.

Now, what you say you want to do is have the machine make "make semi-divinatory, pseudo-statistical descriptions of the future." In this case, you're going far beyond the ability of any machine, period. It's much more magic than computer at this point, and that's how I'd think of it. That wouldn't bother me, but if it's not what you're going for...