To answer your question: no it doesn't.
They are no way linked to the price, and there is defiently not a forumla to domain values.
However the number of results returned for searching "domainname.com" or w/ extension are sometimes looked at for the domain name's SEO ability (ability to rank 1/2 decent for a keyword). Which is important if you are selling to developers or buying names for development.
-Ryan