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 非线性函数拟合
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RUIXUAN0955

China
4 Posts

Posted - 06/01/2017 :  09:02:46 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
我有一组数据,如何用origin拟合?大神帮忙!


0.131 0.01
0.291 0.02
0.385 0.03
0.45 0.04
0.47 0.05

拟合函数是y =a/(x^2)+b*x^2+c+d/x+e*x

Echo_Chu

China
Posts

Posted - 06/06/2017 :  11:28:49 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
这需要自定义函数进行拟合, 你可以看下面的教程学习怎样在Origin中自定义函数并进行拟合

http://www.originlab.com/doc/Tutorials/UserDef-FitFunc

但需要指出一下, 现在你的数据点的数量跟你你的拟合方程里面的参数数据差不多, 通常这种情况下的拟合很难有效
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RUIXUAN0955

China
4 Posts

Posted - 06/12/2017 :  04:02:46 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
非线性拟合中,Standard Erro它是怎么计算的呢?

Value Standard Error
a 0.28907 0.00342

Edited by - RUIXUAN0955 on 07/02/2017 10:09:36 PM
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Echo_Chu

China
Posts

Posted - 06/16/2017 :  04:11:59 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
是的,通常建议需要拟合的数据点比拟合函数的参数要多
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cc261

22 Posts

Posted - 06/16/2017 :  05:22:07 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
1#的数据量长度和参数个数相同,有唯一稳定解:

a 0.0902610555641516
b 14.0168233233529
c 7.7484447289012
d -1.43681890025767
e -17.3325648225397
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