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...

Extracted text: 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. II. 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. O a. Statements I, II, and II only O b. Statements I, III, and IV only 1. Statements II, III, and IV only O d. Statements I, II, and IV only O e. Statements I, II, II, and IV are all correct