bluntforce - 7:10 am on Jan 13, 2013 (gmt 0)
I think Google has publicly stated they do not use either Chrome or Analytics data for search engine rankings. I believe that to be accurate.
The concept of them using Chrome or Analytics data for comparison data is plausible, but not necessarily the shortest route to obtain comparison data.
They have SERPs. A click on the first result with no return or first site "bounce" could indicate the searcher found what they were seeking. I see SERP churn all the time, two things I pick up from it are that titles and descriptions are essential to getting an original click, then the presented product has to match user expectations.
I do believe the "one right answer" is the goal, it's just not quite ready for public consumption yet.