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

Since the data points show a downward trend (as \(x\) increases, \(y\) decreases), the correlation is negative. So we can eliminate \(0.35\) and \(0.91\).

Step2: Assess the strength of correlation

The data points are relatively close to the line of best - fit. A correlation coefficient of \(- 0.35\) indicates a weak negative correlation, while \(-0.91\) indicates a strong negative correlation. The data points here are not too scattered, so it is a strong negative correlation.

Answer:

\(-0.91\)