Table S2.

Coefficient equations of responses according to the level of factors

Responses	Coefficient equations
Y1	88.84X1 + 163.03X2 + 321.54X3
Y2	10.13X1 + 12.67X2 + 60.77X3 + 15.91X1X2 − 96.06X1X3 − 86.73X2X3
Y3	47,658.71X1 + 53.30X2 + 965.31X3 − 90,213.26X1X2 − 85,963.82X1X3 − 1,304.24X2X3 + 97,272.71X1X2X3 − 53,069.49X1X2 (X1 − X2) − 43,814.17X1X3 (X1 − X3) + 468.88X2X3 (X2 − X3)
Y4	$100.75{\mathrm{X}}_1+99.57{\mathrm{X}}_2+48.88{\mathrm{X}}_3-28.52{\mathrm{X}}_1{\mathrm{X}}_2-47.41{\mathrm{X}}_1{\mathrm{X}}_3-62.62{\mathrm{X}}_2{\mathrm{X}}_3-1453.67{\mathrm{X}}_1^2{\mathrm{X}}_2{\mathrm{X}}_3+1025.35{\mathrm{X}}_1{\mathrm{X}}_2^2{\mathrm{X}}_3-652.61{\mathrm{X}}_1{\mathrm{X}}_2{\mathrm{X}}_3^2$