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It has an installer because it's installed in the privileged /Applications folder.

Trash the app itself, then trash this folder:
/Library/Application Support/Backup/QuickPicks

That should pretty much take care of it.

If you're obsessive, delete every file listed in the file created by this command:
Code:
lsbom /Library/Receipts/Backup.pkg/Contents/Archive.bom >backup-bom.txt

You can delete its prefs file in ~/Library/Preferences, or you can leave it. I don't think it's going to matter that much.

Also file a bug-report with Apple that Backup.app doesn't have an uninstaller.
http://developer.apple.com/bugreporter
 
Thanks, I couldn't run the command because that file didn't exist, but I deleted the Backup folder in both Application Support folder, as well as the Application.
 
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