Use technology to compute and interpret the correlation coefficient of a linear fit.
Interpret the sign of the correlation coefficient r for a linear fit
Problem
Classify and interpret the linear direction for \(r=-0.62\) using the rule that \(|r|<0.10\) is effectively no linear direction. State the \(x\text{-}y\) tendency without making a causal claim.
Big Picture
What this problem is really about
Correlation sign describes the direction of a linear tendency after its magnitude clears the stated no-direction threshold. We’ll compare absolute r with that cutoff, use the negative sign to interpret how y tends to move as x increases, and avoid causal wording. The coefficient summarizes association in paired data, not an intervention or deterministic rule.
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