Which $r$-value represents the strongest negative correlation?

• A. $-0.95$
• B. $-0.45$
• C. $0.60$
• D. $-0.10$

Answer: (A)

Verified step by step guidance

1. Understand that the correlation coefficient, denoted as \(r\), measures the strength and direction of a linear relationship between two variables. It ranges from \(-1\) to \$1$.
2. Recall that a negative correlation means that as one variable increases, the other decreases. The closer the value of \(r\) is to \(-1\), the stronger the negative correlation.
3. Look at the given \(r\)-values: \(-0.95\), \(-0.45\), \$0.60\(, and \)-0.10$. Identify which are negative and which are positive.
4. Among the negative values, compare their absolute values to determine strength: \(|-0.95| = 0.95\), \(|-0.45| = 0.45\), and \(|-0.10| = 0.10\). The largest absolute value indicates the strongest correlation.
5. Conclude that the \(r\)-value with the strongest negative correlation is the one with the largest absolute value among the negatives, which is \(-0.95\).