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maninblack11

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性别: GG
专业: 无机化学

[求助] 还是曲线拟合啦，版主大人，好人做到底啦。已有1人参与

如图，有13和16这两条曲线

16：
  x：
  0
  0.218
  0.292
  0.36
  0.43
  0.485
  0.7
  1.273
  1.87
  2.43
  y：
  0
  0.578034682
  0.809716599
  0.952380952
  1.038961039
  1.136363636
  1.526717557
  1.628664495
  1.643835616
  1.677148847

13：
  x：
  0
  0.104186
  0.168015
  0.2308145
  0.283319
  0.340971
  0.38987225
  0.44155315
  0.4840715
  0.52803115
  0.57800308
  0.618952472
  0.659901864
  0.700851256
  0.741800648
  0.78275004
  0.823699432
  0.864648824
  0.905598216
  0.946547608
  0.987497
  1.021516828
  1.055536655
  1.089556483
  1.12357631
  1.157596138
  1.191615965
  1.225635793
  1.25965562
  1.293675448
  1.327695275
  y：
  0
  0.925925926
  1.176470588
  1.298701299
  1.418439716
  1.479289941
  1.556420233
  1.606610053
  1.677148847
  1.731768328
  1.759819794
  1.809162917
  1.852446464
  1.890722081
  1.924811368
  1.955365523
  1.982907339
  2.007861368
  2.030575962
  2.051339633
  2.070393375
  2.102007417
  2.131597051
  2.159350693
  2.185434082
  2.209993591
  2.233158975
  2.255045665
  2.275756689
  2.295384299
  2.314011339

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1楼 2015-03-20 08:45:45

已阅回复此楼关注TA 给TA发消息送TA红花 TA的回帖

feixiaolin

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虫号: 2139575
注册: 2012-11-21
专业: 光学信息获取与处理
管辖: 数学

Function: y = p1+p2*Exp(-0.5*((x-p3)/p4)^2)
Algorithms: 麦夸特法(Levenberg-Marquardt) + 通用全局优化法
Root of Mean Square Error (RMSE): 0.032948874836587
Sum of Square Error (SSE): 0.0108562835299707
Correlation Coef. (R): 0.997975525925407
R-Square: 0.995955150346093
Determination Coef. (DC): 0.995955150317095

Parameters Name Parameter Value
=============== ===============
p1       1.65817496353822
p2       -2.10051718332553
p3       -0.323948286632281
p4       -0.468696506803406

======== 输出结果 =========
No. Observed Y Calculated Y
1 0 0.00395991150545205
2 0.578034682 0.581710230095881
3 0.809716599 0.772443730315409
4 0.952380952 0.933861302023555
5 1.038961039 1.0821613468525
6 1.136363636 1.18451889738722
7 1.526717557 1.46501043790677
8 1.628664495 1.65184437875285
9 1.643835616 1.65813829152025
10 1.677148847 1.65817489664013

Function: y = Sqr((p1+p3*x+p5*x^2)/(1+p2*x+p4*x^2))
Algorithms: 麦夸特法(Levenberg-Marquardt) + 通用全局优化法
Root of Mean Square Error (RMSE): 0.0106806079880363
Sum of Square Error (SSE): 0.00353633699681725
Correlation Coef. (R): 0.999750760483749
R-Square: 0.999501583087834
Determination Coef. (DC): 0.999501553853277

Parameters Name Parameter Value
=============== ===============
p1       0.0261447281969177
p2       29.756109536137
p3       36.2937975623197
p4       10.2418847958446
p5       23.1414859330889

======== 输出结果 =========
No. Observed Y Calculated Y
1 0 0.000683546812490703
2 0.925925926 0.928797156798739
3 1.176470588 1.16146957555252
4 1.298701299 1.31167017546989
5 1.418439716 1.40818399753938
6 1.479289941 1.49651128914117
7 1.556420233 1.56184479881857
8 1.606610053 1.6241356058122
9 1.677148847 1.67141011703289
10 1.731768328 1.71728754584353
11 1.759819794 1.76640064603828
12 1.809162917 1.80462267787971
13 1.852446464 1.84128104238447
14 1.890722081 1.87656385962457
15 1.924811368 1.91062228654736
16 1.955365523 1.94357952647626
17 1.982907339 1.97553731571387
18 2.007861368 2.00658067434873
19 2.030575962 2.03678143988693
20 2.051339633 2.06620093260632
21 2.070393375 2.09489199180541
22 2.102007417 2.11820705239158
23 2.131597051 2.1410744689414
24 2.159350693 2.16351524692849
25 2.185434082 2.18554840359753
26 2.209993591 2.20719124154672
27 2.233158975 2.22845956800336
28 2.255045665 2.24936788870694
29 2.275756689 2.26992956250926
30 2.295384299 2.29015694187651
31 2.314011339 2.31006148376471