Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line. r = 1 r = -0.2

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient $r$ ranges from - 1 to 1. A value of $r = 1$ indicates a perfect positive linear - relationship, meaning all data points lie exactly on a straight - line with a positive slope. A value of $r=-0.2$ indicates a weak negative linear relationship, where the data points are somewhat scattered around a line with a negative slope.

Step2: Analyze scatter - plots

In the first scatter - plot, all the data points lie exactly on a straight line with a positive slope, so it corresponds to $r = 1$. In the second scatter - plot, the data points are scattered around a line with a negative slope and the points are not closely clustered around the line, indicating a weak negative correlation, so it corresponds to $r=-0.2$.

Answer:

The scatter - plot with data points exactly on a positive - sloped line corresponds to $r = 1$. The scatter - plot with scattered points around a negative - sloped line corresponds to $r=-0.2$.