A large batch of soil samples was analysed to determine presence of certain polluting agents. For each sample, the quantity of certain pollutant elements was determined and afterwards, Principal Component Analysis was performed with these data. The following is the loadings matrix. PC2 Potasium Iron Magnesium Cadmium PC1 PC3 PC4 0.03967 -0.06958 -0.01218 -0.99671 0.79202 -0.01139 -0.60909 0.03976 -0.4302 -0.71979 -0.54336 0.03976 -0.43133 0.6906 -0.5776 -0.05832 Match each component with its interpretation. PC4 Choose... PC1 Choose... PC2 Choose... PC3 A contrast between Iron and the average of Magnesium and Cadmium Mostly variable Potasium A (weighted) average of variables Magnesium, Cadmium, Iron A contrast (comparison) between Magnesium and Cadmium
A large batch of soil samples was analysed to determine presence of certain polluting agents. For each sample, the quantity of certain pollutant elements was determined and afterwards, Principal Component Analysis was performed with these data. The following is the loadings matrix. PC2 Potasium Iron Magnesium Cadmium PC1 PC3 PC4 0.03967 -0.06958 -0.01218 -0.99671 0.79202 -0.01139 -0.60909 0.03976 -0.4302 -0.71979 -0.54336 0.03976 -0.43133 0.6906 -0.5776 -0.05832 Match each component with its interpretation. PC4 Choose... PC1 Choose... PC2 Choose... PC3 A contrast between Iron and the average of Magnesium and Cadmium Mostly variable Potasium A (weighted) average of variables Magnesium, Cadmium, Iron A contrast (comparison) between Magnesium and Cadmium
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A large batch of soil samples was analysed to determine presence of certain polluting agents. For each sample, the quantity of certain pollutant
elements was determined and afterwards, Principal Component Analysis was performed with these data.
The following is the loadings matrix.
PC2
Potasium
Iron
Magnesium
Cadmium
PC1
PC3
PC4
0.03967 -0.06958 -0.01218 -0.99671
0.79202 -0.01139 -0.60909 0.03976
-0.4302 -0.71979 -0.54336 0.03976
-0.43133 0.6906 -0.5776 -0.05832
Match each component with its interpretation.
PC4 Choose...
PC1 Choose...
PC2 Choose...
PC3
A contrast between Iron and the average of Magnesium and Cadmium
Mostly variable Potasium
A (weighted) average of variables Magnesium, Cadmium, Iron
A contrast (comparison) between Magnesium and Cadmium
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