Question

which is most likely the correlation coefficient for the set of data shown? -0.83 -0.21 0.21 0.83

Explanation:

Step1: Determine Correlation Direction

The scatter plot shows a negative trend (as \( x \) increases, \( y \) generally decreases), so the correlation coefficient should be negative. Eliminate positive options (0.21, 0.83).

Step2: Assess Correlation Strength

The points are somewhat close to the trend line, indicating a moderate to strong negative correlation. -0.83 is a stronger negative correlation than -0.21, and the points' proximity to the line suggests a stronger relationship than -0.21.

Answer:

-0.83