Emilia: She's downright dumb/retarded for her age (but understandable due to being the Greatest Bum's daughter). Someone help her. Call her father (too bad he's on permanent vacation). Jokes aside, she has got good emotional analysis and instinct. She's just following her heart. Below-average IQ, Average Battle IQ. Very Good/Best emotional IQ.
Subaru: Good situational awareness and analysis. Very good knowledge about stars (figured out Regulus' Authority and solved the Orion puzzle in the watchtower). Can connect the dots and figure out opponent's weaknesses with the knowledge he already possesses. But he gets carried away by emotions (reduces as he progresses in later Arcs and matures). Both Good/Very Good IQ and Battle IQ. Decent/Good emotional IQ (after Arc 3).
Puck: Bum. Though he has good knowledge about magic. I'd say average-good in both IQ and Battle IQ but he isn't there most of the time so I can't analyze properly. God knows when will this bum return. The fradaulent feline for a reason btw.
Roswaal: Genius in both IQ and Battle IQ. Unbounded by emotions. Smartest in the camp without a doubt. Very bad emotional IQ.
Ram: Average IQ, Genius in Battle IQ albeit not at the same level as Roswaal. Gets carried away by emotions though (sometimes with matters concerning Rem and Roswaal). I'd say average emotional IQ but she hides that.
Rem: I'd say average in both IQ and Battle IQ. Carried away by emotions heavily with matters concerning Ram and Subaru. Good emotional IQ.
Beatrice: Genius in both IQ and Battle IQ. Unbounded by emotions (for the most part). But rarely gets carried away by emotions only with matters concerning Subaru. Good emotional IQ when the time requires btw.
Otto: Very Good in both IQ and Battle IQ. Doesn't let emotions carry him. He's a merchant what do you expect. Second smartest in the camp. An invaluable asset to the team. Decent emotional IQ (when the time requires).
Frederica: Average in IQ and Battle IQ. Average emotional IQ.
Garfiel: Emotions are his drive (which is good for him). Decent for his age but he's too rash sometimes and needs to be kept in check (bound to happen due to his age). But he's illiterate. Below-average IQ, Average Battle IQ. Average-good emotional IQ (needs more control).
Petra: Good general intellect, situational awareness and analysis for her age. But gets carried away by emotions (bound to happen due to her age). Good IQ, Below-Average Battle IQ and Good emotional IQ. But the age factor definitely is a restriction.