3D Regression after doing PCA

Question

Maggie 2024-4-18

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2108821-3d-regression-after-doing-pca

回答： Taylor 2024-4-18

Here is my current code - I am using PCA on RGB values which correspond to a pH...one component explains 86% of the data so I am thinking of using 2 components for the regression. I am unsure how to do this, so my current code has 3 methods from chatGPT, only one of which is working. If anyone has any ideas, that would be greatly appreciated. I have included the code and the data. I want to be able to input RGB values and have it output an estimated pH.

The goal is:

a projection of measurements onto principal components as the independent variable, and the target value as the dependent variable

Test the curves on out-of-distribution data (data not used to fit the curves) to get a measurement of the amount of error in the curve. If necessary, repeat step 3 by varying the type of curve fit or the number of principal components used until a satisfactory result is obtained

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Answer 1

Taylor 2024-4-18

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2108821-3d-regression-after-doing-pca#answer_1444056

You want to use the second ouput of pca (score in your code). Each column represents each principal component, where each value of explained contains the percent variances explained by each component.