Question

which is most likely the correlation coefficient for the set of data shown? 0.872 -0.872 -0.191 0.191

Explanation:

Step1: Analyze the scatter - plot trend

The points in the scatter - plot show an upward trend. As the value of \(x\) increases, the value of \(y\) also increases. This indicates a positive correlation.

Step2: Evaluate the strength of correlation

The points are closely clustered around the line of best - fit. A correlation coefficient close to 1 indicates a strong positive correlation, while a value close to 0 indicates a weak correlation. Since the points are closely grouped, the correlation is strong.

Answer:

0.872