Question

here are several scatterplots. the calculated correlations are 0.000, - 0.977, 0.777, and - 0.487. which is which? match each scatterplot with its calculated correlation. (a) (b) (c) (d)

Explanation:

Step1: Understand correlation values

A correlation of 0 means no linear relationship. A negative correlation close to - 1 (like - 0.977) means a strong negative linear relationship. A positive correlation close to 1 (like 0.777) means a strong positive linear relationship. A value like 0.000 means no linear association and - 0.487 means a moderate negative linear relationship.

Step2: Analyze scatter - plots

• Plot (a): Points are randomly scattered, indicating little to no linear relationship, so it matches 0.000.
• Plot (b): Points show a strong negative linear trend, so it matches - 0.977.
• Plot (c): Points show a strong positive linear trend, so it matches 0.777.
• Plot (d): Points show a moderate negative linear trend, so it matches - 0.487.

Answer:

(a) matches 0.000
(b) matches - 0.977
(c) matches 0.777
(d) matches - 0.487