Found this through a newsletter I subscribe to, this sounds like an interesting puzzle! I'm an economics and physics student semi-involved in machine learning, and while I probably can't get to the level of detail you're asking for, I'd be happy to throw the data through some adapted ML code (originally used for black hole mass calculations, but I think I could get it to work) in a few weeks over my winter break and send whatever output I get your way.  Any results will be moderately imprecise (I suspect you would need a fair bit of computing power to get something actually specific given the size and number of variables in your dataset) but it sounds like a fun way to kill time and might even end up being slightly useful to you