I talk to SEO resellers every day, and one common question comes up related to Google Analytics:
Does Google Analytics help my SEO?
The short answer is NO. Matt Cutts (the Google spokesperson) has gone on record stating that Google Analytics data is NOT used by the web spam team or the search quality team. These are the two core teams that govern what results are shown in Google's search engine. But don't take my word for it, hear it straight from the horse's mouth.
So there you have it. According to Google, Analytics data has NO IMPACT on your search engine rankings.