Want to visualize your website visits? CrazyEgg is a service that shows your website with an overlay that indicates where visitors clicked. Quite nice. Best of all, the cheapest version of CrazyEgg is free!
Crazy Egg helps you identify where people click on the page, as well as compare different versions of the same page. Although the options seem to be limited, the basic functionality is quite powerful.
CrazyEgg does not seem to integrate with other tools, such as Google Analytics.