For PMD Red I believe I got lucky and started out as my favorite Pokemon Charmander the first time that I play it.
I remember getting my possible avg results from doing all of the randomize questions on this:
http://www.gamefaqs.com/gba/929408-pokemon-mystery-dungeon-red-rescue-team/faqs/4032921 Calm
15 Hardy
15 Timid
11 Docile
11 Brave
11 Hasty
10 Relaxed
9 Impish
7 Quirky
6 Sassy
6 Jolly
6 Naive
5 Lonely
20 or more: Mudkip
15 or more: Tie between Charmander and Cyndaquil
10 or more: Three way tie between Bulbasaur, Machop, Torchic with Psyduck being one point under.
There is usually a good chance of me getting a Mudkip whenever I try the quiz without looking at anything so it seem like just doing all of the questions and averaging them up is a good way to do it. There is always the random factor of course as you only get 8 questions.