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