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Compare the standardized 2D and 3D PCA plots using all 30 features. Rotate the 3...

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Compare the standardized 2D and 3D PCA plots using all 30 features. Rotate the 3D plot to at least two substantially different viewpoints. Keep the data, target and preprocessing unchanged.

Discuss briefly the differences that you can observe between the 2D and the 3D PCA:

  • Given the explained variance of 2D PCA vs 3D PCA, in your opinion, is adding a third component worth it? Does it make it easier to distinguish samples?
  • Describe a concrete region in the 2D/3D PCA. Does going to three dimensions facilitate group separation between the Benign and Malignant samples?
  • If you had to discuss the data set and present it to your colleagues, which PCA would you choose?

Attach three images: the 2D plot and the same 3D projection from two different viewpoints.

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