Question

1. below are shown 4 scatter plots, each with an r value to describe the strength of correlation. write the appropriate r value under each scatter plot. your options for r values are -.8, -0.5, 0, or 1

Explanation:

Step1: Analyze the first scatter - plot

The first scatter - plot shows a strong negative linear relationship. The correlation coefficient \(r\) for a strong negative relationship is close to \(- 1\). Among the given options \(-0.8\) is the closest to \(-1\) for a relatively strong negative correlation. So \(r=-0.8\).

Step2: Analyze the second scatter - plot

The second scatter - plot shows a strong positive linear relationship. The correlation coefficient \(r = 1\) represents a perfect positive linear relationship. Since the points are very close to a straight - line with a positive slope, \(r = 1\).

Step3: Analyze the third scatter - plot

The third scatter - plot shows no linear relationship. When there is no linear relationship between the variables, the correlation coefficient \(r = 0\).

Step4: Analyze the fourth scatter - plot

The fourth scatter - plot shows a weak negative linear relationship. The correlation coefficient \(r=-0.5\) is a weak negative correlation (closer to \(0\) than \(-1\)) among the given options.

Answer:

\(r=-0.8\), \(r = 1\), \(r = 0\), \(r=-0.5\)