Use technology to compute and interpret the correlation coefficient of a linear fit.
Interpret correlation coefficients to identify the direction and strength of a linear association
Problem
Identify the strongest linear association among \(r=0.4\), \(r=-0.8\), and \(r=0.6\) by comparing \(|r|\).
Big Picture
What this problem is really about
Correlation strength is distance from zero, so compare absolute values before restoring each coefficient’s sign. A negative coefficient can be stronger than a positive one; its minus sign changes only the association’s direction, while the larger magnitude indicates tighter linear alignment.
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