Ok, well that changes the math problem a bit.That's a fair question. Volume is known in real time and if you start digging around with these stats you may come to recognize that volume in the first bit of the morning session is a good indicator of how the day will unfold in terms of range. Again, if you're looking for continuation or something to that effect and the volume is not there this might be good to know.
Your original statement was general, but I now assume you are only referring to intraday. You seem to be saying that morning volume is correlated to the range in the future (afternoon, etc.).
For someone to test/verify this, they would have to know the time frame in which to measure the morning volume; and the subsequent time frame in which to measure the range.
It seems you would be in the best position to confirm your observation, no? As you know exactly the criteria.