Question

identify the correlation coefficient r that is most likely to correspond with the scatterplot below.
show your work here
\\( r = -0.94 \\) \\( r = -0.57 \\)
\\( r = -0.04 \\) \\( r = 0.61 \\)
\\( r = 0.86 \\)

Explanation:

Step1: Check direction of correlation

The scatterplot shows a positive trend (as x increases, y tends to increase), so r should be positive. Eliminate negative options (-0.94, -0.57, -0.04).

Step2: Check strength of correlation

The points are moderately clustered around a positive line—not perfectly tight (ruling out 0.86, a strong positive) but not random (ruling out near-zero). 0.61 is a moderate positive.

Answer:

D. r = 0.61