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 How to extrapolate to "required" y?
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Janaka

Sri Lanka
15 Posts

Posted - 07/01/2014 :  04:40:56 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release: OriginPro8 and v8.0988
Operating System: Windows 7

Hi All,
May I know how to extrapolate a curve to a "required" y value (e.g., 140 on the curve shown below)?

Thank you,
Janaka



Janaka

SeanMao

China
288 Posts

Posted - 07/01/2014 :  06:21:50 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Janaka,

You can set your original X column as Y and use Y column as X, therefore you can input 140 as "X Maximum" in "Analysis:Mathematics:Interpolate/Extrapolate:Open dialog". Similarly, you can use "Interpolate/Extrapolate Y from X" to extrapolate at given X values (which is your Y).

Best regards!

Sean

OriginLab Tech. Service
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Janaka

Sri Lanka
15 Posts

Posted - 07/01/2014 :  11:49:12 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Sean,

Thank you for the details but the first option doesn't make a correct extrapolation as you can see below. I am still trying the 2nd option.

Note: Here "linear" extrapolation was used as "method" and the other two gave even more unaccepted curves.


Janaka
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Janaka

Sri Lanka
15 Posts

Posted - 07/02/2014 :  01:10:19 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Sean,

Could you please explain how to select "data range for input" (see on the attachment) for your 2nd option? Though I selected two columns, it still asks to select data for input range.



Janaka
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SeanMao

China
288 Posts

Posted - 07/02/2014 :  01:59:17 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Janaka,

For "Interpolate/Extrapolate Y from X", you have to prepare an additional X column other than original XY columns to calculated interpolated/extrapolated Y at all X values from that provided X column.

For extrapolation, the uncertainty in Y is very big when the extrapolated X is far from input X range as you have shown in your graph with "line" method.

The best way to solve your problem is to use Non-Linear Fit (NLFit) tool to fit your data with either build-in function or user defined function which predicts more reasonably according to fitting function.

You can go to "Analysis:Fitting:Non-Linear Curve Fit:Open dialog" to bring up dialog, and in the "Setting" tab "Find X/Y" page, you have the options to "Find X from Y" or "Find Y from X".

You can refer to the video tutorial below to perform it:
http://www.originlab.com/Index.aspx?go=Support/VideoTutorials&pid=1767

Regards!

Sean

OriginLab Tech. Service
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Janaka

Sri Lanka
15 Posts

Posted - 07/02/2014 :  02:41:25 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Sean,

Thank you for information. Do you have a video for "Interpolate/Extrapolate Y from X" too? I am yet to find how to do it?

Thank you,
Janaka

Janaka
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SeanMao

China
288 Posts

Posted - 07/02/2014 :  02:52:32 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Janaka,

Below is a video that shows you how to do "Interpolate/Extrapolate Y from X":

http://www.originlab.com/Index.aspx?go=Support/VideoTutorials&ss=chm&pid=1889

Regards!

Sean

OriginLab Tech.
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