Sara's got the idea. Look at the other bidder's auction record, being sure to include closed auctions, regardless of who won them. You can usually tell whether a bidder "nibbles" one bid increment at a time, for instance, or adds one increment plus an odd amount like 77 cents, or ups the ante by considerably more. You can also notice
when the bidder places these bids, that is, at what point in the auction, and whether he/she is a sniper also. When outbid, does the bidder (a) give up entirely; (b) jump right back in with a counter-bid; (c) wait for a while to see who else bids, if anyone, before weighing in with a counter-bid...well, you get the idea.
As Sara says, it's not possible to narrow it down to an exact number, but armed with the sort of information above you have the opportunity to frame a snipe that will react to the other bidder's tendencies. It's sure a lot better than going in "blind."