In accordance to
this post by SkyCatcher on Linux Distros, if your host uses cPanel, you can get your root directory by seeing the 'Home Directory' and adding that value with the directory of the desired folder where your autobackup goes. In my setup, it's like this:
$backup['DUMP_PATH'] = 'home/(my username)/ws/autobackup'; // Path to backups folder, with trailing slash
where home/(my username), I got that from cPanel and I just appended the directory I wanted.
Thanks for the port Paul