Determine the values of the three principal components for the following observation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Determine the values of the three principal components for the following observation.

Transcribed Image Text:Age, Experience, and Income ($1000) of a bank customer were used in a principal component analysis. The mean of the original variables and the
coefficients of the three principal components are given in the table below.
Variable
Mean
PC1
PC2
PC3
Age
28
0.844
0.145
-0.04
Experience
-0.122
9
0.915
0.022
Income ($1000)
190
0.05
-0.007
0.824
Determine the values of the three principal components for the following observation.
Variable
Value
Age
66
Experience
22
Income
140
Answer:
Z1 =
Round your answer to 3 decimal places.
Z2 =
Round your answer to 3 decimal places.
Z3 =
Round your answer to 3 decimal places.
Expert Solution

Step 1
principle components is the new variable which is linear combination of initial variable .
In the above example initial variables are Age , Experience and Income based on that three principle components are given as follows :
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