Not really Andrew,
If there is no sediment, then the beer has probably been filtered and maybe also pasturised.
Its possible that a beer has been bottle conditioned and the brewer has been skillful enough to manage it with so little yeast that you don't notice it - but mostly thats not going to be the case.
You could try out the method for culturing up yeast from a Coopers bottle, just to see if you can get anything to grow, but if you do ... there is a fairly big chance that whats growing is something that floated into the bottle while you were mucking about with it, rather than yeast from the brewing process.