Help on reverse engineering a game stat calculation

Question

i hope you're all doing fine, and thanks you for passing by and read my question

I'm doing a reverse engineering of a soccer game stats hexagon (PES games) i manage to figure it that there are two values that affect the position of one of the 6 edges but i can't to the right equation to get the value

so lets say the result value should be between 0 and 100 and the receiving values are between 1 and 99

The stat are ATTACK and SHOT ACCURACY, by changing them with the max and min values i notice this

if ATTACK is 99 and SHOT ACCURACY is 1 then the edge gets to 50 if ATTACK is 1 and SHOT ACCURACY is 99 then the edge gets to 1 if both are 1 then the edge gets to 0 if both are 99 then the edge gets to 100

what kind of ecuation should i use to get this values?

thanks a lot!

Answer 1

I would go with multiple linear regression with an interaction term. If ATTACK is $x$, SHOT ACCURACY is $y$, and the edge is $z$, then the equation is $$z=ax+by+cxy+d$$ with $a,b,c,d$ some parameters. You gave 4 equations and those uniquely determine the values $a,b,c,d$: $$a=\frac{99}{196}\\ b=\frac{1}{196}\\ c=\frac{1}{196}\\d=-\frac{101}{196}\\ $$