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求拟合二元二次方程,谢谢

作者 zhouluvxing
来源: 小木虫 550 11 举报帖子
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X      Y         Z
4        3        78.63
3        3        80.25
5        3        77.13
4.5        1        72.5
3.5        5        79
3.5        1        75.88
4.5        5        75.63



目标方程      Z=b0+b1*X+b2*Y+b3*X*X+b4*Y*Y+b5*X*Y 返回小木虫查看更多

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  • zhouluvxing

    求b1到b5   5个值,以及Z最大时,X与Y的值

  • dingd

    自己动手用1stOpt试试,很简单的问题。

  • lipenggg

    引用回帖:
    2楼: Originally posted by zhouluvxing at 2017-06-21 16:42:05
    求b1到b5   5个值,以及Z最大时,X与Y的值

    b0=79.4281247670317,
    b1=-2.65249990078089
    b2=5.1100000279851
    b3=0.0599999895687664
    b4=-0.723125001112401
    b5=0.00249999467175726

    目标函数值(最大): 81.0646634608812
    x: 3
    y: 3.53846162384738

  • huab1984666

    General model:
         f(x,y) = b0+b1.*x+b2.*y+b3.*x.*x+b4.*x.*x+b5.*x.*y
    Coefficients (with 95% confidence bounds):
           b0 =       98.47  (78.55, 118.4)
           b1 =         -10  (fixed at bound)
           b2 =      0.7813  (-0.9095, 2.472)
           b3 =      0.9918  (-3.33e+15, 3.33e+15)
           b4 =   -0.006291  (-3.33e+15, 3.33e+15)
           b5 =   3.404e-12  (fixed at bound)

    Goodness of fit:
      SSE: 13.55
      R-square: 0.6665
      Adjusted R-square: 0.3329
      RMSE: 2.125
    求拟合二元二次方程,谢谢
    11.jpg

  • huab1984666

    引用回帖:
    5楼: Originally posted by huab1984666 at 2017-06-22 13:10:30
    General model:
         f(x,y) = b0+b1.*x+b2.*y+b3.*x.*x+b4.*x.*x+b5.*x.*y
    Coefficients (with 95% confidence bounds):
           b0 =       98.47  (78.55, 118.4)
           b1 =         -10  (fixed at bound) ...

    General model:
         f(x,y) = b0+b1.*x+b2.*y+b3.*x.*x+b4.*x.*x+b5.*x.*y
    Coefficients (with 95% confidence bounds):
           b0 =       103.4  (-1095, 1302)
           b1 =      -13.08  (-668.1, 641.9)
           b2 =        1.56  (-64.99, 68.11)
           b3 =   3.283e+06  (-3.113e+08, 3.178e+08)
           b4 =  -3.283e+06  (-3.178e+08, 3.113e+08)
           b5 =     -0.1945  (-16.77, 16.38)

    Goodness of fit:
      SSE: 12.84
      R-square: 0.6839
      Adjusted R-square: -0.8964
      RMSE: 3.583

  • 王斯琪

    b0=96.0225,b1=-4.77,b2=19.723125,b3=0.06,b4=-7.706875,b5=0.91

  • lipenggg

    引用回帖:
    4楼: Originally posted by lipenggg at 2017-06-22 09:31:56
    b0=79.4281247670317,
    b1=-2.65249990078089
    b2=5.1100000279851
    b3=0.0599999895687664
    b4=-0.723125001112401
    b5=0.00249999467175726

    目标函数值(最大): 81.0646634608812
    x: 3
    y: 3.53846162384738...

    l
    求拟合二元二次方程,谢谢-1
    QQ图片20170622132359.png

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