How would I determine a score, per character, on this test?
I would like to take the character's statistics and possibly a die roll and then determine a score on the test.
The key to understanding this test is that you run back and forth between two points 20 meters (66 feet) apart at a steadily increasing speed until you can no longer keep up with the required speed and miss a waypoint. (Look for "bleep test" on youtube if you need to see it - everybody calls it that because the full name is too much of a mouthful).
This is not determined by your maximum running speed (it is well below sprinting speeds for an athlete) but on your short term endurance. It is somehow related to Constitution and possibly Athletics skill (although that uses Strength for some reason).