* U.S. shares rise, lifting global index* Dollar index rebounds, euro hit by German data* Oil falls as IEA revises demand growth forecast lower(Updates prices, changes comment)By Rodrigo CamposNEW YORK, Oct 14 (Reuters) - Lingering anxiety over world economic growth pushed investors into safe-haven U.S. and German debt on Tuesday and oil prices tumbled, but Wall Street stocks staged a rebound, buo