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Pet Stat Boosts Rate
So the basic equation comes to be Pet Level x Var# x + (Base Stat x 1.5)?
Yep, at least for HP, MP, Stam, Str, Int, Dex, Will, and Luck.
Defense and Prot is just Pet Level x Var#.
On that note, it seems like your character's HP/MP/Stam/Str/Int/Dex/Will/Luck gets boosted by the exact same amount that the pet gets.
I think it'd be nice to add this information to the page; it is to help understand how things are calculated after all, just like Blaze damage or Alchemy skill effect durations.
Regardless, congratulations and thanks for figuring it out. This had me puzzled since I used it for the first time.