Which value of the correlation coefficient $r$ indicates a stronger correlation than $0.40$?

• A. $0.10$
• B. $0.75$
• C. $-0.30$
• D. $0.25$

Answer: (B)

Verified step by step guidance

1. Recall that the correlation coefficient \(r\) measures the strength and direction of a linear relationship between two variables, and its value ranges from \(-1\) to \$1$.
2. Understand that the strength of the correlation is determined by the absolute value of \(r\), meaning \(|r|\); the closer \(|r|\) is to \$1$, the stronger the correlation.
3. Compare the absolute values of the given options to \$0.40\(: calculate \)|0.10|\(, \)|0.75|\(, \)|-0.30|\(, and \)|0.25|$.
4. Identify which of these absolute values is greater than \$0.40\(, indicating a stronger correlation than \)0.40$.
5. Conclude that the value with the greatest absolute value above \$0.40$ represents the strongest correlation among the options.