This customer wants a very specific output for his prediction formula from a model shown below. He has 11x factors and a constant c1 and his response y. He is trying to get numbers for f1,f2.....,f10 to fit his y. Does anyone have any thoughts on if or how this could be done?
y = f1(x1,x2,x3,x4) * sign(x2) + f2(x1,x2) + f3(x1,x3,x4) * c1 * x5 +
f4(x1,x3,x4) * c1 * x6 + f5(x1,x7,x3,x4) * sign (x7) + f6(x1,x8,x3) * c1 * x7 +
f7(x1,x2,x8,x3) * sign(x2) + f8(x1,x8,x2,x3,x4) * x9 + f9(x1,x3,x10,x4) * x10 +
f10(x1,x2,x3,x4,x8,x11) * x11
Thanks,