Is it possible to run weekly queries (through SEDE)on
- proportion of questions asked by freshly registered users during the previous week that are downvoted without comments, but not closed;
- proportion of questions asked by the above-mentioned users that got no answers during the previous week.
and display the results on each SE site's page (just like beta sites have their metrics displayed)?
I'm sure similar metrics can be devised and displayed - there's plenty of screen space at the right side of most SE pages.
EDIT: Yannis provided the following link http://stackexchange.com/sites?view=list#percentanswered which has been rather helpful in sorting out sites and confirming earlier guesses. However, most regulars don't visit this page, and it would be beneficial to have this information displayed on the relevant site.