When an Additional Explanatory Variable Is Introduced into a Multiple $r ^ { 2 }$

question 240

True/False

When an additional explanatory variable is introduced into a multiple regression
model, the adjusted $r ^ { 2 }$ can never decrease.

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Definitions:

Collectivist

A cultural or societal framework that emphasizes the interdependence of individuals within their communities and values the needs and goals of the group over those of the individual.

Melting Pot

A metaphor for a society where many different types of people blend together as one.

Group

A number of individuals or things that are located, gathered, or classed together, often working towards common goals.

Clay Object

An item or artifact made from clay, shaped and often hardened by heat, used in various artistic and practical applications.