Many thanks to randofo and his twittering office chair from which some, or almost all, of this was based.
Or if you just want to see the tweets, go here:
note: this is for April Fools Day. After that, moving on from toilets!
Step 1: What's to report?
The other information that we can get is from the toilet paper usage. Available data from here is the # of times it was used in a session and the total # of squares used in a session. From this we can get a pretty good idea of what happened.
All right, so how to get the data? Magnets, baby.
Step 2: A certain attraction
Less and less toilet paper is on the roll after each turn so the # of squares of toilet paper that each revolution represents will go down in increments. On our rolls of toilet paper there are 3.4 squares in a revolution in the beginning and 1.5 at the end. There are about 200 revolutions in the rolls. A simple bit of math and we have a good idea for how many are on each revolution.
r2 = new rotation count
r1 = previous rotation count
so, squares used in current session = (3.4 - r2 * .00475) * r2 - (3.4 - r1 * .00475) * r1