Question

which is most likely the correlation coefficient for the set of data shown? -0.65 -0.19 0.19 0.75

Explanation:

Step1: Analyze the trend of the scatter plot

The scatter plot shows a positive trend (the line of best fit has a positive slope), so the correlation coefficient should be positive. This eliminates the negative options (-0.65, -0.19).

Step2: Analyze the strength of the correlation

The points are somewhat spread out but still show a weak positive trend. A correlation coefficient of 0.75 would indicate a strong positive correlation, while 0.19 indicates a weak positive correlation. Given the spread of the points, a weak positive correlation is more likely.

Answer:

0.19