4. The following table lists the weights and heights of five boys: Boys Sam Tom Peter Mike Jack Weights (lb.) 120 125 125 135 145 Heights (in.) 61 60 64 68 72 a) Find the covariance matrix for the data. b) Make a principal component analysis of the data to find a single size index that explains most of the variation in the data.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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4. The following table lists the weights and heights of five boys:
Boys
Sam Tom Peter Mike Jack
Weights (lb.) 120 125 125 135 145
Heights (in.) 61
60 64
68
72
a) Find the covariance matrix for the data.
b) Make a principal component analysis of the data to find a single size index that explains most of the
variation in the data.
Transcribed Image Text:4. The following table lists the weights and heights of five boys: Boys Sam Tom Peter Mike Jack Weights (lb.) 120 125 125 135 145 Heights (in.) 61 60 64 68 72 a) Find the covariance matrix for the data. b) Make a principal component analysis of the data to find a single size index that explains most of the variation in the data.
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