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 IIII only O b. Statements I, II, 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

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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
Transcribed Image 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
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