Ubuntu generally works like a charm on the HP Compaq 615 low-budget notebook. I own one since ~1 year, using the proprietary ATI Radeon driver provided by Ubuntu's Hardware Driver Assistant for the on-board Radeon HD 3200 graphic card. Never had any problems with it.
However, since Ubuntu 10.04 Lucid the display background lighting controls/buttons do not work properly with the proprietary driver recommended by Ubuntu's Hardware Driver Assistant (System→Administration→Hardware Drivers). To fix this problem, simply upgrade to the newest ATI Radeon Driver provided by AMD:
ati-driver-installer-<version>.run file executable and start it with superuser privileges: chmod a+rx /path/to/ati-driver-installer-<version>.run sudo /path/to/ati-sriver-installer-<version>.run
Please note: you have to do this again after you are installing a kernel update. If the new driver is not compatible to your kernel, you can always switch back to the one shipped with Ubuntu.
Update 2010-11-03: backlight controls are working out of the box on Ubuntu 10.10 Maverick and the proprietary ATI driver provided by Ubuntu's additional driver wizard.