This is an old thread, but I thought I'd update it with recent information.
The issue indeed is the logs kept by the server. I, as a paying customer of the hosting site, cannot access those logs.
But the host site admin wrote:
It's not the statistics you can't see. It's mostly taken up from your daily log files. We keep 3 days worth of logs and you're averaging about 40MB per day.
...they look like this:
209.66.200.51 - - [08/Jun/2010:07:42:18 -0700] "GET /forum/images/general/default/toggle_closed.gif HTTP/1.0" 304 303 "http://www.whitneyportalstore.com/forum/ubbthreads.php/ubb/cfrm" "Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; .NET CLR 1.1.4322; .NET CLR 2.0.50727; .NET CLR 3.0.04506.30; .NET CLR 3.0.04506.648; .NET CLR 3.0.4506.2152; .NET CLR 3.5.30729; OfficeLiveConnector.1.3; OfficeLivePatch.0.0)"
209.66.200.51 - - [08/Jun/2010:07:42:18 -0700] "GET /forum/images/forumimages/default/bbtitle_stor_mtn.gif HTTP/1.0" 304 304 "http://www.whitneyportalstore.com/forum/ubbthreads.php/ubb/cfrm" "Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; .NET CLR 1.1.4322; .NET CLR 2.0.50727; .NET CLR 3.0.04506.30; .NET CLR 3.0.04506.648; .NET CLR 3.0.4506.2152; .NET CLR 3.5.30729; OfficeLiveConnector.1.3; OfficeLivePatch.0.0)"
209.66.200.51 - - [08/Jun/2010:07:42:18 -0700] "GET /forum/images/icons/default/book.gif HTTP/1.0" 304 303 "http://www.whitneyportalstore.com/forum/ubbthreads.php/ubb/cfrm" "Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; .NET CLR 1.1.4322; .NET CLR 2.0.50727; .NET CLR 3.0.04506.30; .NET CLR 3.0.04506.648; .NET CLR 3.0.4506.2152; .NET CLR 3.5.30729; OfficeLiveConnector.1.3; OfficeLivePatch.0.0)"
209.66.200.51 - - [08/Jun/2010:07:42:18 -0700] "GET /forum/images/icons/default/grin.gif HTTP/1.0" 304 303 "http://www.whitneyportalstore.com/forum/ubbthreads.php/ubb/cfrm" "Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; .NET CLR 1.1.4322; .NET CLR 2.0.50727; .NET CLR 3.0.04506.30; .NET CLR 3.0.04506.648; .NET CLR 3.0.4506.2152; .NET CLR 3.5.30729; OfficeLiveConnector.1.3; OfficeLivePatch.0.0)"
209.66.200.51 - - [08/Jun/2010:07:42:18 -0700] "GET /forum/images/general/default/nonewposts.gif HTTP/1.0" 304 304 "http://www.whitneyportalstore.com/forum/ubbthreads.php/ubb/cfrm" "Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; .NET CLR 1.1.4322; .NET CLR 2.0.50727; .NET CLR 3.0.04506.30; .NET CLR 3.0.04506.648; .NET CLR 3.0.4506.2152; .NET CLR 3.5.30729; OfficeLiveConnector.1.3; OfficeLivePatch.0.0)"
