Question

which is most likely the correlation coefficient for the set of data shown? -0.91 -0.35 0.35 0.91

Explanation:

Step1: Determine the direction of the correlation

The scatter - plot shows a negative correlation (as \(x\) increases, \(y\) decreases). So we can eliminate the positive correlation coefficients \(0.35\) and \(0.91\).

Step2: Determine the strength of the negative correlation

The data points are relatively close to the regression line. A correlation coefficient of \(- 0.35\) indicates a weak negative correlation, while a correlation coefficient of \(-0.91\) indicates a strong negative correlation. Since the points are close to the line, the correlation is strong.

Answer:

\(-0.91\)