Okay, not really but I work out every day that I can which averages out to something like 6.35 days a week. However, not all workout days are equal. Some days are definite easy recovery days while others are intense effort days.
You most definitely need rest/recovery to see improvement.
I work out 4-6 days a week, 6 being if I have an amazing spot on week, 4 being if I have a few "tired" days here and there. I've seen positive results going 3 times a week, but I've seen the best, most substantial results when regularly going between 4 and 6 times.
Rest is important though, as trh said above. I totally support the idea that if you sincerely feel physically tired(not "tired" as an excuse) then you should take the day as a rest day, or do something more leisurely, like a long walk.
Rest is as important as the workout days. It's when your body recover and rebuild. I see change physically after a rest day usually. I workout almost 6 days a week. Different intensity and different type. Sometimes I do 2 or 3 workouts in a day (morning and then evening), typically 1 is enough :)
I try to go for 6 active days with one full rest day, which is usually Sunday. I lift (heavy and full body) and walk/hike (easy recovery) 3 days a week, usually MWF. The other 3 days I jog/hike (moderate intensity). I also swim or do SUP (stand up paddle) a couple of times per week but consider both leisure activities. I may take off a day during the week if I'm truly sore, usually after a hard lifting session or a very strenuous hike.
I try to work out 6 days a week and have one full rest day but often it ends up as an active resting day
On average three days a week, I only weight train.
At most 4 days. If I train anymore days pains from previous injuries begin to surface, and I feel extremely lethargic.
3 times a week, sometimes 4 depending on how I have to shuffle workouts around life.
Basically this. Doesn't go past 3 though.