Can you take printscreens of Analytics' results pages and put them on your website? And is there anything that you have to remove before posting the images?
Yes, you're allowed to do so. Don't expose too much info though because your competition may take advantage.
In addition to Zexy's point, I'd just like to explain how you can export your data. When you're viewing one of your Reports, where the name of the Report is listed in the top left, you'll see a number of grey lozenge buttons underneath, the first two of which are "Export" and "Email". Click on the "Export" button and you'll see options for a variety of export types, such as PDF, XML, CSV and TSV. Hope that helps...