Has anyone figured out how all the trainer info is determained in the Battle Dome. I've had 2 different attack-styles and 3 different stats with the same team. Note: They were the 3 Regis.

Your post isnt very clear... But from what I understand of your question....

I think that the trainers' pokemon are random (usually pretty weak for the first 5 tourneys, after which they become fully evolved and such)

I believe he means the stuff like:

"The best candidate to be a champ!
Uses strong and straightforward moves.
Emphasizes Attack."

I can only hazard guesses here so bear with me.

The first line I believe is determined by your Pokemon and DVs.
The second line appears to be the movesets your Pokemon have.
The third line is determined by your Pokemon's stats.

(Ftr, this was my info, even though 2 of my team were special sweepers, and the third was mixed. Sheesh...)
Eh, it's probably some complicated in-game formula. (Ok, scratch the complicated bit.)

- DNA