In the correlation coefficient matrices below:

$1.$ Which one$($s$)$ shows all of the features are

independent? Why?

$2.$ Which one$($s$)$ shows some, but not all, of the

features are independent? Why?

$3.$ Which one$($s$)$ show that features a and b are

interdependent? Why?

$4.$ Assume you are working with a corpus of

samples each with $3$ features: a$,$ b$,$ and c$,$

represented as $($a$,$b$,$c$)$ in feature space. If a

training sample is located at $(1,4,8),$ what is the

Euclidean distance from the test sample $(3,8,2)$

to the training sample?

For the kNN results shown at the bottom:

$5.$ What is the class of the test sample if k $=3?$

Why?