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Fitting data to a constant multiplied by a reference spline

Asked by Michael Bishop on 24 Apr 2015
I have a data that I need to fit to a spline function multiplied by some constant.
I fit a reference function (spline) using: refSpline=fit(xData,referenceData,'smoothingspline');
Now, I would like to use refSpline multiplied by some weighting factor (c) to fit a data set of the same dimensions. The function is not parametric (as far as I understand it), so can this curve even be used for fitting? I could use refSpline to output a Y vector, and do a chi-squared optimization, but I would like to avoid that, as I have no experience with writing such optimizations. Any help is appreciated.
Best, Michael

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