The Regression Coefficient B _Y and the Correlation Coefficient R

question 24

Multiple Choice

The regression coefficient b _Y and the correlation coefficient r, _________.

• A) necessarily increase in magnitude as the strength of relationship increases
• B) are both slopes of straight lines
• C) are not related
• D) will equal each other when the variability of the X and Y distributions are equal
• E) are both slopes of straight lines and will equal each other when the variability of the X and Y distributions are equal

---

Definitions:

Conjuncts

Components of a larger logical structure or statement that are joined together by a conjunction, each of which is necessary for the truth of the whole.

Main Connective

In logic, the operator (such as AND, OR, NOT) that determines the truth value of a complex sentence based on the truth values of its components.

Tautology

A statement or proposition that is true by necessity or by virtue of its logical form, often repeating the same idea in different words.

Main Connective

In a logical formula, the operator that holds the highest precedence, determining the formula's overall truth value.