I always look at the back of the equator of the ball and I try to strike it in the middle of the face of the club.

I have never really thought about what part of the golf ball I look at. If I had to say where I look before swinging and while I'm swinging the golf club would have to be the back of the ball. I want to make sure that I swing and hit the back of the ball so I can solid contact. That is a very good question and I'll have to see where I'm looking when I play golf again. 

Slightly inside the back of the ball. If you're mis-hitting shots, check your eye contact first. Mr. Hogan taught me to "see the ball disappear".

On the titleist logo lol. But seriously i have never actually thought about where I look at the ball

I read this about 20 years ago and it always has helped me.  I teach my guys to pick out a dimple on the top of the ball.  Now instead of hearing the 'fat' shots I hear the click of a good ball striker.

I never really thought about what part of the ball I look at but on the driver, I look at the back of the ball because I like to picture hitting a nail into the back of the golf ball.

I have also started looking at the front of the ball.  I heard a pro talking about it when hitting out of fairway bunkers and it seemed to work.  I seem to hit long irons more crisp.

I see the ball as a hindrance....When I address the ball all I think about is my target and the ball is in the way of my swing....When I'm working the ball (fade,draw) I think about the exit path but never the ball itself....

I used to look at the back of the ball for every shot.  But I found that i was hit a lot of my irons fat.  I now look at the front of the ball on all of my iron shots.  This helps me hit down on the ball and make sure I hit the ball first.  I shift my focus to the back of the ball on my woods and my driver.  I agree with what was said above, watch the ball disappear.  I still struggle with that at times.

I look 3/4 back of the ball.   Leading edge sits about 1/4 under the size of the ball so I try to look where the leading edge sits.