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Question
match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.
$r = 1$
$r = - 0.3$
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work it out
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Step1: Understand the correlation coefficient
The correlation coefficient \(r = 1\) indicates a perfect positive linear relationship. All the data points lie exactly on a straight - line with a positive slope.
Step2: Analyze \(r=-0.3\)
The correlation coefficient \(r=-0.3\) indicates a weak negative linear relationship. The data points are somewhat scattered around a line with a negative slope.
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The scatter - plot with all points on a straight - line (left one) has \(r = 1\), and the scatter - plot with points scattered around a line with a negative slope (right one) has \(r=-0.3\).