AIf the Correlation Coefficient Between Two Random Variables Equals Zero,does

question 16

Essay

a.If the correlation coefficient between two random variables equals zero,does that imply that there is no relationship between those random variables?
b.If the correlation coefficient between two random variables is close to one in absolute value,does that imply that one random variable causes another random variable?

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Definitions:

Sympathetic

Pertaining to the part of the autonomic nervous system that prepares the body for stress by accelerating the heart rate, among other responses.

Sympathetic Impulses

Nerve impulses transmitted by the sympathetic nervous system, part of the autonomic nervous system that controls the body's responses to stress or emergency situations.

Angry

A strong emotional state or reaction characterized by annoyance, displeasure, or hostility.

Relaxed

A state of physical or mental ease, often free from tension and anxiety.