There may be a direct relationship. Understanding that gas pressure, volume, and heat are related we know that either an increase in heat or a decrease in the volume (compression) must be reason we see increased pressure.So, only in the most indirect way does it represent a molecular distribution.
If heat is the reason for the increased pressure we should try to confirm it.
If compression is the reason for the increased pressure we should try to confirm that too.
If heat is the source of the increased pressure the scatter graph is a reasonable representation of heat distribution as well as pressure.
But if compression is the source of the increased pressure then the scatter graph is a reasonable qualitative representation of both pressure and density.
In either case we have shown there are energy waves radiating from the speaker.
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