Question

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

Explanation:

Step1: Analyze the trend of the scatter plot

The scatter plot shows a positive linear trend because as \( x \) increases, \( y \) also increases. So the correlation coefficient should be positive, eliminating the negative options (-0.872 and -0.191).

Step2: Analyze the strength of the correlation

The points are relatively close to the line of best fit, indicating a strong positive correlation. A correlation coefficient of 0.872 is a strong positive correlation, while 0.191 is a weak positive correlation. Since the points are close to the line, the correlation is strong.

Answer:

0.872