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YMDX

新虫 (小有名气)

[求助] [求助] 1stOpt拟合2自变量,1因变量函数关系,万分感谢!已有2人参与

实验得到一组数据,2个自变量,1个因变量,想把数据拟合成二元多项式公式z=f(x,y),找了好多1stOpt都不能用,请大神们帮我拟合一下。数据如下:
X:0.1,0.15,0.2,0.25,0.3,0.35,0.4,0.45,0.5,0.55,0.6,0.65,0.7,0.75
Y:800,840,880,920,960
Z:5.253,4.186,3.665,3.384,3.225,3.162,3.154,3.120,3.080,3.050,,3.040,3.030,3.020,3.000
      5.758,4.809,4.144,3.857,3.504,3.839,3.810,3.790,3.760,3.720,3.700,3.680,3.650,3.630
     6.756,5.781,5.540,5.358,5.157,5.012,4.855,4.727,4.597,4.435,4.359,4.420,4.506,4.532
     4.605,4.362,4.241,4.069,3.872,3.777,3.725,3.615,3.523,3.429,3.345,3.241,3.120,3.020
      3.701,3.608,3.563,3.361,3.214,3.033,2.885,2.772,2.676,2.578,2.534,2.503,2.466,2.439
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YMDX

新虫 (小有名气)

送红花一朵
引用回帖:
4楼: Originally posted by dingd at 2019-11-12 09:45:20
参考下:
z = p1/(1+((x-p2)/p3)^2)+p4/(1+((y-p5)/p6)^2)+p7

Root of Mean Square Error (RMSE): 0.216540394171809
Sum of Squared Residual: 3.28228196156576
Correlation Coef. (R): 0.969566624921834
...

您好,我还有一组数据,可以再帮我拟合一次吗?非常感谢!x:0.1,0.15,0.2,0.25,0.3,0.35,0.4,0.45,0.5,0.55,0.6,0.65,0.7,0.75y:800840880920960z:-7.80708924,-7.491195172,-7.380294894,-7.23596501,-7.12702977,-7.042810153,-6.915848254,-6.841091315,-6.776172418,-6.737960304,-6.627974578,-6.458376675,-6.356965568,-6.35118825 -7.550092514,-7.327087821,-7.021859905,-6.76505903,-6.633510821,-6.528656739,-6.378243011,-6.195292387,-6.049828588,-6.015077924,-6.059931653,-6.178781859,-6.304672542,-6.274281271 -5.286149444,-4.988916321,-4.912761199,-4.938300055,-4.915465029,-4.889484407,-4.825627091,-4.838206811,-4.843173626,-4.818514395,-4.739977754,-4.797346705,-4.9653956,-4.977611988-2.511532158,-2.772708226,-2.854020637,-2.893584392,-2.999542003,-3.057344731,-3.063856802,-3.143136482,-3.17020386,-3.207431034,-3.17465511,-3.045952627,-2.875128116,-2.609221947-0.876117174,-1.240514453,-1.474909031,-1.655703554,-1.93158957,-2.117234384,-2.147090808,-2.136155119,-2.074109626,-2.048011293,-2.05253476,-2.124114966,-2.297445152,-2.361473911

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5楼2019-11-12 16:33:08
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独孤神宇

版主 (知名作家)

【答案】应助回帖

感谢参与,应助指数 +1
你这数据 长度不一致 怎么拟合?

Z 若是矩阵 需要转化为 数组形式

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数值计算
2楼2019-11-12 09:29:44
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YMDX

新虫 (小有名气)

引用回帖:
2楼: Originally posted by 独孤神宇 at 2019-11-12 09:29:44
你这数据 长度不一致 怎么拟合?

Z 若是矩阵 需要转化为 数组形式

确实是矩阵形式,等下把他改成数组形式吧。

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3楼2019-11-12 09:43:05
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dingd

铁杆木虫 (职业作家)

【答案】应助回帖

★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ...
感谢参与,应助指数 +1
独孤神宇: 金币+2, 鼓励交流 2019-11-12 11:56:20
YMDX: 金币+150, ★★★★★最佳答案, 感谢大神! 2019-11-12 15:03:05
参考下:
z = p1/(1+((x-p2)/p3)^2)+p4/(1+((y-p5)/p6)^2)+p7

Root of Mean Square Error (RMSE): 0.216540394171809
Sum of Squared Residual: 3.28228196156576
Correlation Coef. (R): 0.969566624921834
R-Square: 0.940059440162315
Adjusted R-Square: 0.937334869260602
Determination Coef. (DC): 0.940059440162315
Chi-Square: 0.412891895525997
F-Statistic: 164.673538892901

Parameter        Best Estimate
----------        -------------
p1        413668677.987852
p2        -0.167665772320883
p3        -1.86380644388765E-5
p4        2.34466611132058
p5        873.947040836094
p6        39.0680318288343
p7        2.07561071216936
[求助] 1stOpt拟合2自变量,1因变量函数关系,万分感谢!
c228.jpg


[求助] 1stOpt拟合2自变量,1因变量函数关系,万分感谢!-1
c229.jpg

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4楼2019-11-12 09:45:20
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