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Weighted regression this may be used to weight the points in a modelfit.
ch.Set 'Weighting' 1 1 1 1 0.1 1
This would be appropriate if the data was aggregated, but with differing numbers of measurements contributing to each point. Also it may be used to exclude selected points from a model by simply weighting them as zero.
For points with errorbars, you might consider a weight varying as the sqrt of the error to have more certain points counting higher in the model.
See also ...
OrderOfFit polynomial degree of modelfit