match each correlation coefficient to the appropriate scatter plot. r = 0 r = 0.9 r = -0.5 r = -1
match each correlation coefficient to the appropriate scatter plot. r = 0 r = 0.9 r = -0.5 r = -1
Answer
Explanation:
Step1: Understand correlation coefficient properties
The correlation coefficient $r$ ranges from - 1 to 1. $r = 1$ is a perfect positive - linear relationship, $r=-1$ is a perfect negative - linear relationship, $r = 0$ means no linear relationship, and values between 0 and 1 or - 1 and 0 indicate partial linear relationships.
Step2: Analyze top - left scatter - plot
The top - left scatter - plot shows a non - linear relationship. So, $r = 0$.
Step3: Analyze top - right scatter - plot
The top - right scatter - plot shows a strong negative linear relationship. So, $r=-0.9$.
Step4: Analyze bottom - left scatter - plot
The bottom - left scatter - plot shows no linear pattern. So, $r = 0$.
Step5: Analyze bottom - right scatter - plot
The bottom - right scatter - plot shows a weak negative linear relationship. So, $r=-0.5$.
Answer:
Top - left: $r = 0$ Top - right: $r=-0.9$ Bottom - left: $r = 0$ Bottom - right: $r=-0.5$