HP- Hit Points. You may expect your Pokemon to do a lot of the battling, but there's no guarantee that you'll be staying safe. Hit Points gauge how much of a beating you've taken.
STR- Strength. Gauges how much you're able to carry, how hard you hit, and who's going to win in an arm wrestling match. Roughly analogous to Attack.
CON- Constitution. Gauges endurance and resistance to environmental factors, roughly analogous to Defense.
INT- Intelligence. Gauges... intelligence. Roughly analogous to Special Attack.
WIS- Wisdom. Gauges sensitivity to your environment, common sense and intuition. Roughly analogous to Special Defense.
AGI- Agility. Gauges control of your body, including things like reflexes, dexterity, and lightfootedness. Roughly analogous to Speed.
Job: The Trainer's class.
Gear: Equipment the Trainer has on them.
Feats: Traits and talents the Trainer possesses.