Actuarial Notes

SOA Exam SRM Sample Question 5

Study guide: Exam SRM

Consider the following statements:

  • I. Principal Component Analysis (PCA) provide low-dimensional linear surfaces that are closest to the observations.
  • II. The first principal component is the line in p-dimensional space that is closest to the observations.
  • III. PCA finds a low dimension representation of a dataset that contains as much variation as possible.
  • IV. PCA serves as a tool for data visualization.

Determine which of the statements are correct.

  • A) Statements I, II, and III only
  • B) Statements I, II, and IV only
  • C) Statements I, III, and IV only
  • D) Statements II, III, and IV only
  • E) Statements I, II, III, and IV are all correct

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