I'm very much a mac newbie myself, but I found this thread on a search. It might not answer your problem, but someone got a replacement out of it....
http://forums.macrumors.com/showthread.php?t=256877
PS. Do the dots move at any point? Will give an indication as to whether they're dead/stuck pixels or whether it's hardware/software.
EDIT: Have a look at this too:
http://www.appledefects.com/wiki/ind..._Lines_on_Boot