Curve classification with interference/disturbance

Hi
Is there a method to classify how much interference/disturbance there is in the signal (black lines)?
The red line is the exponetial fit. If the curve follows the red line, one would say that it has no disturbance

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One option is to evaluate the exponential curve at exactly the same values of the independent variable as the data (that I assume are the black curve), then use trapz to integrate either the difference or the squared difference in the region-of-interest. That would give you the integral of the error or the squared error.
There may be other ways as well, since I am not certain what result you want.

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