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Goodness of fit tests indicate whether or not it is reasonable to assume that a random sample comes from a specific distribution.

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Probability that residuals are normal

One difficulty in presenting a single number as you describe, is that the statistical confidence in the fitted model - here a straight line - can be different at the low or high end of the data range. …
James Phillips's user avatar
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Appropriate goodness of fit measure for signal with unknown errors

RMSE (Root Mean Squared Error) might be a good candidate, as historically it was used as a sort of "average magnitude of error". To calculate it, all errors are first squared (to remove any negative v …
James Phillips's user avatar
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Choosing Analytic Functions to Fit to Data

Let me start with the curve3 data set. I wanted to find a simple equation with few shape parameters, and since having an offset does not affect the shape of the curve I thought an offset would be OK. …
James Phillips's user avatar