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 Prediction bands: find distance from estimate
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rdelvill

Belgium
9 Posts

Posted - 04/23/2013 :  09:58:02 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release (Select Help-->About Origin): 8.5
Operating System: Windows 7

Hello,

Given a linear regression equation y*= .... derived from a set of points a prediction interval for y is y*-E < y < y*+E where E is given by a fairly complicated formula not reproduced here.
Origin can plot the upper and lower limits of the prediction intervals but it is not clear where one can retrieve the parameter E used in the plot. Is there any ways to have it as an output of the calculation or to find it somewhere?

Thanks in advance


Edited by - rdelvill on 04/23/2013 11:26:56 AM

meili_yang

103 Posts

Posted - 04/23/2013 :  9:50:03 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

If you choose to plot the prediction band under "fitted curve plot" in the linear fit dialog, besides the parameter report sheet, you should get another sheet contains upper prediction values and lower prediction values by a given x. Subtract either upper or lower prediction value from fitted y value is the value of E by a given x.

E is a function of x. Here you can find the formula to calculate the function. http://www.originlab.com/www/helponline/Origin/en/UserGuide/Linear_Regression_Results.html


Meili
OriginLab
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