It really depends on how you define activeness but by taking the statistical columns that exist in the post table I'm able to have SEDE produce a graph:
from this SEDE query:
len(title) as [title len]
, sum(case when acceptedanswerid is null then 1
end)/800 as accepted
, avg(viewcount)/200 as [view count]
, avg(datediff( d, creationdate, nullif(lasteditdate,creationdate)))/10 as [edit duration]
, avg(datediff( d, creationdate, nullif(lastactivitydate,creationdate)))/15 as [active duration]
, avg(answercount)*10 as [answer count]
, avg(commentcount)*10 as [comment count]
from posts p
where p.posttypeid = 1
group by len(title)
order by len(title) desc
This query takes all questions (PostTypeId=1) from the Posts table and sum or averages the statistical values available on each row of a post.
In this case I counted accepted answers, number of views, the duration in days while the post was edited, the duration in days the post was active, the number of answers on the post and the number of comments on the post. On all measures I fiddled with the range to fit them nice together...
What does this tell us? I have really no idea because I had to promise my math teacher to never do someting with statistics for real after my graduation.
I see some kind of distribution (is it Poisson?) for accepted answers...
What strikes me is that for really short or really long titles all statistics vary heavily. That can be due to the title or to other influences to be reasearched.