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 correlation

The scatter - plot shows a negative correlation (as \(x\) increases, \(y\) decreases). So the correlation coefficient \(r<0\).

Step2: Determine the strength of correlation

The data points are close to the regression line. A value of \(r = - 0.91\) indicates a strong negative correlation, while \(r=-0.35\) indicates a weak negative correlation.

Answer:

\(-0.91\)