Question

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

Explanation:

Step1: Observe the scatter - plot

The points in the scatter - plot follow an upward trend. This indicates a positive correlation between the variables.

Step2: Recall correlation coefficient values

A positive correlation has a correlation coefficient \(r>0\). A value close to 1 indicates a strong positive linear relationship. Values like 0.35 represent a weak positive correlation. Since the points in the scatter - plot seem to follow a relatively strong linear upward pattern, the correlation coefficient should be close to 1.

Answer:

0.91