San Diego-based WebSideStory has offered its IPO offering range. According to a filing made this morning with the SEC, WebSideStory is estimating its offering range between $8.00 and $9.00 a share, down from an earlier $10.00 to $12.00 a share. WebSideStory provides web site analytics services, which allows ecommerce providers to analyze the traffic patterns and effectiveness of web sites.