Question

match the correlation coefficients with the scatterplots shown below.
scatterplot|correlation coefficient
scatterplot a|$r = 0.67$
scatterplot b|$r=-0.37$
scatterplot c|$r = 0.86$
scatterplot d|$r=-0.72$
scatterplot a
scatterplot b
scatterplot c
scatterplot d
do 4 problems

Explanation:

Step1: Understand correlation coefficient

A positive $r$ means positive - linear relationship, a negative $r$ means negative - linear relationship. The closer $|r|$ is to 1, the stronger the linear relationship.

Step2: Analyze Scatterplot A

Points are scattered randomly, indicating a weak relationship. So it matches $r=- 0.37$.

Step3: Analyze Scatterplot B

Points show a positive - linear trend. Since the points are somewhat scattered but still have a clear positive trend, it matches $r = 0.67$.

Step4: Analyze Scatterplot C

Points have a strong positive - linear trend. So it matches $r=0.86$.

Step5: Analyze Scatterplot D

Points show a negative - linear trend. Since the linear relationship is relatively strong among the negative - correlation ones, it matches $r=-0.72$.

Answer:

Scatterplot A: $r=-0.37$
Scatterplot B: $r = 0.67$
Scatterplot C: $r=0.86$
Scatterplot D: $r=-0.72$