Question

which value of r represents data with a strong negative linear correlation between two variables?
-1.07
-0.14
0.92
-0.89

Explanation:

Step1: Recall r value range

The correlation coefficient $r$ must satisfy $-1 \leq r \leq 1$. So $-1.07$ is invalid.

Step2: Identify negative r values

Valid negative options: $-0.14$, $-0.89$.

Step3: Define strong negative correlation

A strong negative correlation has $r$ close to $-1$ (absolute value near 1). $\vert -0.89 \vert = 0.89$, which is much closer to 1 than $\vert -0.14 \vert = 0.14$.

Answer:

D. -0.89