Question

identify the correlation coefficient r that is most likely to correspond with the scatterplot below.
show your work here
\\( r = -0.97 \\) \\( r = -0.5 \\)
\\( r = -0.06 \\) \\( r = 0.57 \\)
\\( r = 0.92 \\)

Explanation:

Step1: Check trend direction

The scatterplot shows points generally rising from left to right, so the correlation is positive. Eliminate negative options ($r=-0.97$, $r=-0.5$, $r=-0.06$).

Step2: Check strength of correlation

Points are clustered around a positive slope but not perfectly tight. $r=0.92$ is very strong (almost linear), while $r=0.57$ is moderate. The spread of points matches a moderate positive correlation.

Answer:

D. $r = 0.57$