Move the pen.
How many of those measurements co-vary? Nearly all of them.
Can you reduce that down to a subset of measurements that vary always independently?
With care, you only need 3.
also: degree of freedom, dimension
Scans of the 44-year-old man's brain showed that a huge fluid-filled chamber called a ventricle took up most of the room in his skull, leaving little more than a thin sheet of actual brain tissue"
An article goes on to say that he was tested at an IQ of 75, below normal but not disabled; he was employed as a civil servant, and married with children.
https://web.archive.org/web/20150712092909if_/http://www.new...
why the body can be regulated with a subset of brain function has nothing to do with why parameters covary in large statistical models