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 Calculating standard error of x intercept
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Chirality899

USA
2 Posts

Posted - 02/11/2013 :  1:45:13 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release (Select Help-->About Origin): Origin 9.0 32 bit
Operating System: Windows 7

I was a bit confused on how if I can find my x intercept with standard error in Origin. I was able to calculating using x from y to find my intercept as well as the confidence intervals. I tried doing a web search and was unable to find any relevant information.

Is there a way to directly calculate this value ?

Hideo Fujii

USA
1582 Posts

Posted - 02/11/2013 :  2:56:29 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Chirality899,

Say, you have a linear fitting function: y=a+b*x , the x intercept (=x0) would be x0 = -(a/b),
which you can regard it as a derived parameter. Although you can calculate the
standard error of this derived parameter by the error propagation rule, maybe a convenient
and easy way may be that you define the above fit function with a derived parameter, x0
for the non-linear fitter. So,

1) Using Fitting Function Builder, define y=a+b*x with a derived parameter, x0=-(a/b) .
2) Run NLFit using this function. The report sheet shows the standard error of x0.
(See the screenshot below.)



Hope this helps.

--Hideo Fujii
OriginLab
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Chirality899

USA
2 Posts

Posted - 02/11/2013 :  4:34:04 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Thank you very much for the quick response. I was able to figure it out from your instructions
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