Correlation analysis is used to determine which of the following between two variables?

• A. The mean values of two variables $\mu$
• B. The strength and direction of a linear relationship $r$
• C. The probability distribution of a single variable $P(X)$
• D. Whether one variable causes changes in another

Answer: (B)

Verified step by step guidance

1. Understand that correlation analysis is a statistical method used to measure the relationship between two variables.
2. Recall that correlation quantifies two main aspects: the strength (how closely the variables move together) and the direction (whether they increase or decrease together) of a linear relationship.
3. Recognize that correlation does not measure mean values of variables, nor does it describe the probability distribution of a single variable.
4. Also, note that correlation does not imply causation; it does not determine whether one variable causes changes in another.
5. Therefore, correlation analysis is specifically used to determine the strength and direction of a linear relationship between two variables.