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match each correlation coefficient to the appropriate scatter plot. the…

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 = -0.7

Explanation:

Step1: Understand correlation coefficient properties

The correlation coefficient $r$ ranges from - 1 to 1. A value of $r = 1$ indicates a perfect positive linear - relationship (all data points lie exactly on an upward - sloping straight line). A value of $r=-0.7$ indicates a strong negative linear relationship (data points tend to follow a downward - sloping line).

Step2: Analyze the scatter - plots

The scatter - plot on the left has a downward - sloping least - squares regression line and the data points show a strong negative linear trend, so it corresponds to $r=-0.7$. The scatter - plot on the right has an upward - sloping least - squares regression line and the data points are very close to the line, indicating a strong positive linear relationship, so it corresponds to $r = 1$.

Answer:

The scatter - plot on the left: $r=-0.7$; The scatter - plot on the right: $r = 1$