I crunched numbers on this in 2006 based on 2 weeks of regionals, and here's an image that breaks down scores by 'average alliance number'. Average alliance number was the average of the 3 team numbers that made it up. Note that rookies this year were about 1700+, so a team with an average alliance number higher than that was probably all rookies.
There is definitely some correlation between team number and scores, but it is a fairly weak correlation, and more importantly, there is a LOT of variation in each group. There are rookies who can dominate regionals (2056 in 2007), and there are rookies who can barely get their robot to move. However, there are also older teams like this.
http://www.chiefdelphi.com/forums/at...1&d=1142127063
Edit: Going through all my old statistics threads is fun.
Here's another relevant one. Given two alliances, find their average alliance numbers (AAN1 and AAN2). The x-axis on this graph is the difference between opposing alliance's AANs. If a team like (1114, 1503, 1680) faced (25, 48, 71), then the difference would be something like 1200ish. This graph shows the win rate for the higher-numbered alliance.
Basically, it says that in 2006, if your AANs differed by 1200, then the team with the higher number had a 20% win rate.
http://www.chiefdelphi.com/forums/at...8&d=1142707377