Question

scatterplot|correlation coefficient
scatterplot a|r = 0.87
scatterplot b|r = 0.63
scatterplot c|r = -0.75
scatterplot d|r = -0.41
scatterplot a
scatterplot b
scatterplot c
scatterplot d

Explanation:

Step1: Recall correlation coefficient concept

The absolute - value of the correlation coefficient $r$ measures the strength of the linear relationship. The closer $|r|$ is to 1, the stronger the linear relationship. Positive $r$ indicates a positive linear relationship, and negative $r$ indicates a negative linear relationship.

Step2: Compare absolute - values

For Scatterplot A, $|r_A| = 0.87$. For Scatterplot B, $|r_B|=0.63$. For Scatterplot C, $|r_C| = 0.75$. For Scatterplot D, $|r_D|=0.41$.

Step3: Determine the strongest relationship

Since $0.87>0.75 > 0.63>0.41$, Scatterplot A has the strongest linear relationship.

Answer:

Scatterplot A