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Why has Mathcad 15 sometimes fitting problems

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I use CurveExpert (version 2.4.0) for getting an initial idea on what is the best fitting model for a data set. However, when I want to use then the proposed equation in Mathcad I do not get optimal results. In the rational fit I am completely out of range while in the sinusoidal fit my R² is lower. I assume that I am not familiar enough with all fitting possibilities within Mathcad 15. So I would appreciate any help as I would like to improve my skills or to understand why the results in Mathcad are inferior to those of CurveExpert. I have added 2 worksheets to demonstrate the issue.


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