Question

for the data shown in this scatter plot, which is the best estimate of r? variable x variable y -0.55 0.95 0.55 -0.95

Explanation:

Step1: Observe the scatter - plot direction

The points in the scatter - plot generally move from the lower left to the upper right, indicating a positive linear relationship. So, the correlation coefficient \(r>0\).

Step2: Observe the strength of the linear relationship

The points are not perfectly aligned in a straight line, so \(r
eq1\). But they are somewhat clustered around a potential line, indicating a moderate to strong positive correlation. A value of \(r = 0.95\) implies a very strong linear relationship and the points here do not show that high of a linearity. A value of \(r=0.55\) is more appropriate for this moderately - clustered positive relationship.

Answer:

C. 0.55