If Variables with a Multivariate Normal Distribution Have Covariances That $\chi ^ { 2 }$

question 23

Short Answer

If variables with a multivariate normal distribution have covariances that equal zero, then a. the correlation will most often be zero, but does not have to be.
b. the variables are independent.
c. you should use the $\chi ^ { 2 }$ distribution to calculate probabilities.
d. the marginal distribution of each of the variables is no longer normal.

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Definitions:

Endocrine Glands

These are glands in the body that secrete hormones directly into the blood rather than through a duct.

Diathesis-Stress Model

A psychological theory that explains behavior as a result of a predispositional vulnerability together with stress from life experiences.

Predictive

Relating to the ability to foretell or forecast future events or outcomes based on current or past data.

Vulnerability

The quality or state of being exposed to the possibility of being attacked or harmed, either physically or emotionally.