Dependence and correlation

Negative and perfect correlation. Functional dependence. The cloud points are aligned.

 

 

Negative correlation is stronger as it gets closer to -1 and weaker as it gets closer to 0. Random dependence.

-1<r<0

 

Uncorrelated variables. There is no relation between variables. Random independence.

r=0

Positive correlation is stronger the closer it gets to 1 and weaker the closer it gets to 0. Random dependence.

0<r<1

 

Positive and perfect correlation. Functional dependence. The cloud points are aligned.

r=1