You rank your predictions from 1-32 based upon how confident you are with your pick. You have to use all numbers, so the one you think is the biggest slamdunk will get 32 points. The one that you think is least likely will get 1. When you get a pick correct, the number of points you win is how many confidence points you assigned to that game.
It is their online bowl predictor. You go and fill out your bowl winners and rank them by order of confidence factor. This is just the aggregate of all those votes.
My family has done an NFL pool the last 8 years or so, it's a pick 'em league with no spread, but we use confidence points. Makes it a lot more interesting and challenging. Basically it's how confident you are that the team you picked will win.