You shouldn’t be logged into torrence(torrance?) to rsync to your home machine. You’ll have to initiate the rsync from home. I use something like:
rsync -avze ssh --delete ‘firstname.lastname@example.org:mysite.com’ '/backup/mysite.com
Then again, I do have rsync on my home machine, so this works. Without rsync at both ends, you won’t be able to sync this way. You got the error because you’re logged into the DreamHost server, and it won’t let you write to the root directory / (or /backup, which doesn’t exist).