How to apply linear least squares fit for two entities?

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Amjad Iqbal 2022-7-24

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https://ww2.mathworks.cn/matlabcentral/answers/1766545-how-to-apply-linear-least-squares-fit-for-two-entities

评论： Matt J 2022-7-25

Dear Researchers,

I have two entities namely sigma (dB) and U (m/s) respectively. As given in attach figure, a linear least squares is used to fit among two entities. I have attached .mat files which contains sigma and U values. I need to fit this curve to analyse Bias and RMS.

I lookforward to receive your valubale suggestions.

Thank you!

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dpb 2022-7-24

That certainly doesn't look to be nonlinear. What's the functional form you think you should be fitting (a literature reference to the type of data/from whencecame the above figure, maybe???)

Amjad Iqbal 2022-7-24

[15200477 - Bulletin of the American Meteorological Society] Cross-Polarized Synthetic Aperture Radar_ A New Potential Measurement Technique for Hurricanes (1).pdf

As a matter of fact, I have sigma_VH from product and using equation-1 given in reference to obtain U.

In Fig-1 (d), this fit is applied among Sigma_VH and U. According to what they claim is nonlinear. However, I tired is linear. As you can see in attached result.

What's your suggetions and how to fit line among these two?