Use technology to compute and interpret the correlation coefficient of a linear fit.
Match the direction and strength of a linear scatter plot to a likely correlation coefficient
Problem
Match a tight upward linear scatter pattern to the best correlation coefficient among \(0.05\), \(-0.22\), \(0.48\), and \(0.93\). Justify the match by direction and strength.
Estimate a correlation from a scatter plot by separating direction from tightness. The cloud’s upward or downward tilt determines the sign, while how closely the points hug a straight line determines whether the magnitude should be near zero or near one; the picture supports a range, not an exact decimal by itself.
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