Hi There,
I encountered the same problem as you mentioned in your post:
http://www.c-sharpcorner.com/Blogs/10220/popularity-trends-option-missing-in-sharepoint-2013-document.aspx
However, I could not find the reporting feature under my Site collection features.
the features which I have available are:
https://drive.google.com/file/d/0Bx_Po7ND9VtOU3dwVzlGenZEZVU/view?usp=sharing
Is there anything which I am doing wrong? Thank you so much for your help.