Problem with Curve Fitter 95% CI Upper and Lower Bounds' Equations

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Ali Reza Shahvaran
Ali Reza Shahvaran 2023-9-15
编辑： Torsten 2023-9-15
Attached is a screenshot that shows the coefficients (a, b, and c) of the upper and lower 95% CI bounds are not calculated correctly.
However, the graphical representation (after activating the prediction bounds) displays a correct 95% CI. The correct equations of the 95% CI are added at the bottom in red.
For example, for the upper bound, the y-intercept is reported to be 3.55, but we can see on the graph that it is 5.28.
Does anyone know what might be the reason for that?
Thank you.

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Torsten
Torsten 2023-9-15
编辑：Torsten 2023-9-15
Have a read here:
https://uk.mathworks.com/help/curvefit/confidence-and-prediction-bounds.html
It will show you the difference between confidence bounds on coefficients and prediction bounds on fits.
I guess you mean the nonsimultaneous functional bounds:
p21 = predint(fitresult,x,0.95,'functional','off')
plot(fitresult,x,y), hold on, plot(x,p21,'m--')

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