'''1) To Calculate Max max QL from Skill skill etc.''' You can use the formulas below to calulate what skill you need to get the ore you want or vice versa:
-Plug in any mining skill for X and solve for Y to get the max ore ql.
'''2) Using a Data for supreme pickaxe with 100 mining imbue:'''
If you plot skill (x) and max ore ql (y) you get y=0.5861x+41. The R squared correlation is 0.9999 (this would be 1 if the data was perfect; 0.9999 is really good).
'''4) Using a Rare rare pickaxe with no imbue:'''
The formula for this one is y=0.9187x+7.9445 (R-squared = 1).