When an Additional Explanatory Variable Is Introduced into a Multiple

question 294

True/False

When an additional explanatory variable is introduced into a multiple regression model, the adjusted r² can never decrease.

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Definitions:

Generate Hypotheses

The process of formulating testable assumptions or propositions about a phenomenon or relationship between variables.

Empirical Methods

These are techniques that rely on observation, experimentation, and evidence rather than theory alone for knowledge acquisition.

Manipulated Independent Variable

An independent variable for which participants have been randomly assigned to an experimental group.

Randomly Assigns

In experimental design, the process by which study participants are allocated to different groups in a manner that ensures each participant has an equal chance of being placed in any group.