Question

identify the correlation coefficient r that is most likely to correspond with the scatterplot below.
show your work here
\\( r = -0.9 \\)
\\( r = -0.62 \\)
\\( r = 0 \\)
\\( r = 0.58 \\)
\\( r = 0.87 \\)

Explanation:

Step1: Check trend direction

The scatterplot shows a negative trend (as x increases, y decreases). So r is negative, eliminating r=0, 0.58, 0.87.

Step2: Check correlation strength

The points are not tightly clustered (not strong correlation), so r is not close to -1. r=-0.62 is moderate negative, matching the spread.

Answer:

r = -0.62