I install every game (except Halo 3, the developers stated it does NOT run better from the HDD because of programming issues.) that I actively play.
Why?
Less noise.
Faster loading (Even games like Tekken where It's cut 5 seconds loading between characters chosen/the fight. That saves me a good minute or two here and there which really adds up.)
Possible less heat output (I heard using the game on hard drive as oppose to constant disc spinning helps prevent RROD but I have no proof of this.)
Less scratchs on disc (Once installed the disc will only be checked once on start up, so the disc will have less wear and tear.)
It's just that simple.