Sorry.. I didn't miss the point of the fact that he'll become more productive with the icetime he'll get but my reply did omit that fact and I put the emphasis on just the linearity between his icetime and production. You're completely right about that and I'll need to pay more attention to my responses in the future.
I also think that saying his progression should be between 26 and 34 pts is a lot more valid than just saying 30.
Your 30 number comes from using the average progression and 16mins of TOI at even strength. How many players hit a progression of .55 to .65? none. How many hit a progression of .5 to .7? One out of eight. How many hit a progression of .3 to .9? Two out of eight. It seems like using .5802 to be fairly arbitrary as only 25% of the players from your data hit a range between .3 and .9.
My guess is that progression number you should be using is technically higher than you project by using the average but as there are outliers in the data, your number is coming up lower than it should.
Also, where does the 16mins TOI at even strength come from? Is that the average icetime for 2nd year forwards in Liiga? If so, does that icetime have much variance? If it's the average icetime with little variance, then great!
Otherwise, what is the icetime variance for 2nd year forwards? If it's high, then the 16 mins number has very little value as well. Seeing as your stats classes are probably a lot fresher in your mind than my own, you can hopefully correct me where I'm wrong but I thought you needed approximately 80% probability for the number you provided in order for it to hold any value.
So if 80% of players get between 15 and 17 mins of even strength TOI, and 80% of players have a progression between .5 to .7 (I made this range up) then you'd be giving out Jesperi's pt progression for his 2nd year to be between 27 and 33 pts. However, seeing how most players seem to progress closer to .7 to .9 in D+1 then the range jumps to 29 to 36 pts.
Now take that same type of calculation for his PP TOI and add that range on top of his EV TOI pt range and you end up with a number that you can reasonably expect him to hit and it probably gives you a decent floor and ceiling to use which is a lot more plausible to look at than just the straight number you gave out.
Again.. I'm not taking away from what you did.. it's a very good start. It just didn't seem to sound to me as the numbers you used seemed to have high variance within the data.
The tone in my last post probably came out as 'cock whipping' as you put it but that wasn't my intention. I just feel like the data doesn't seem very sound to me. It feels misleading but I could be very wrong.
I'd be curious to see what happens if you used your same method for another league. How likely would you be to have a sound projection by using that approach? My personal guess is that it wouldn't be very likely but I don't have the time to check on it and I wouldn't expect you to do it either.