郭敦顒回答:
Y=0.70+0.026A+0.032B+0.027C+0.034D+0.023AB+0.014AC-0.022BC+0.036BD+0.025CD-0.047A2-0.063B2-0.080C2-0.063D2
求偏导数:
函数Y对A求导数得,∂Y/∂A=0.026+0.023B+0.014C-0.094A,
函数Y对B求导数得,∂Y/∂B=0.032+0.023A-0.022C+0.036D,
函数Y对C求导数得,∂Y/∂C=0.027+0.014A-0.022B+0.025D-0.160C,
函数Y对D求导数得,∂Y/∂D=0.034+0.036B+0.025C-0.126D,
令∂Y/∂A=∂Y/∂B=∂Y/∂C=∂Y/∂D=0,则得四元一次联立方程组,逐步消元可求得A,B,C,D的值,下详略。