Question

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

Explanation:

Step1: Analyze the trend of the data points

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

Step2: Analyze the strength of the correlation

The points are somewhat close to the line of best fit, indicating a relatively strong negative correlation. A correlation coefficient of -0.83 is a strong negative correlation, while -0.21 is a weak negative correlation. Since the points are not extremely scattered, -0.83 is more likely.

Answer:

-0.83