Fit a linear function to data when a scatter plot suggests a linear association.
Decide whether a scatter plot suggests a linear association
Problem
Does this scatter-plot description suggest a linear association: points curve upward more steeply as \(x\) increases?
Big Picture
What this problem is really about
Linear association requires an approximate straight band, not merely a consistent increase in y. We’ll trace the point cloud across x, compare its changing steepness with a straight-line form, and look for systematic bending. An upward trend that grows progressively steeper is directional but nonlinear, so one constant slope would leave a patterned mismatch.
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