The Value of R² Always Goes Up When a Nontrivial

question 47

True/False

The value of R² always goes up when a nontrivial explanatory variable is added to a regression model.

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Definitions:

Beta

A criterion for the volatility, or established risk, inherent in a security or portfolio ensemble in the context of the broader market.

Portfolio

A collection of financial investments like stocks, bonds, commodities, cash, and cash equivalents, including mutual funds and ETFs.

Risk-Free Asset

An investment with a guaranteed return and no possibility of default, typically associated with government bonds.

Market Return

The total gain or loss on an investment over a specified period, including dividends and capital gains.