Question

which is most likely the correlation coefficient for the set of data shown? -0.83 -0.21 0.21 0.83

Explanation:

Step1: Observe the trend

The data points show a downward - sloping trend, so the correlation coefficient is negative.

Step2: Assess the strength

The points are somewhat clustered around a line, indicating a moderately strong relationship. A value close to - 1 represents a strong negative correlation, and a value close to 0 represents a weak correlation. Since the points are not perfectly aligned but still show a clear trend, a correlation coefficient of - 0.83 is more likely than - 0.21.

Answer:

-0.83