If you're the type of person who would enjoy chess in the first place then you're probably pretty analytical and competitive... this means you'll appear smart to some people (whether you play chess or not).
Playing chess, itself, has very little to do with intelligence, particularly at ratings above, IDK, 1200 or something. Chess is a skill like anything else. You don't look at a very good piano player and think "they're smart." If they're very good they're probably not an idiot, they're also probably not a genius. They're just someone who has put a lot of work into practicing piano. It's the same for chess... so this is another point. A person who is organized and focused enough to improve day after day will also appear intelligent to some people.
And notice I said others may see you as intelligent... that doesn't always work the other way around. If you see others as "stupid" that's a personality flaw more than anything.
If You're A Chess Player, You're Probably Smarter Than Others. Read below and see if this happens to you.
Bumping into people you used to associate with or people from school?
Do you
1. Think wow were they always that stupid?
2. Wow was I always that much smarter than them?
3. Maybe I'm a genius?
4. Maybe I have opened more than 20% of my brain left and right, is this possible?
5. Nope, never happened, in fact the total opposite?