Interpret slope and intercept of a linear model in the data context.
Interpret the slope of a fitted linear model
Problem
Interpret the slope of \(S(h)=2.5h+70\), where \(h\) is study time in hours and \(S\) is predicted test score in points.
Big Picture
What this problem is really about
Slope describes how the model’s predicted output changes when the input increases by one unit. Translate its sign and magnitude with output-units-per-input-unit language, and keep “predicted” in the statement: a fitted association does not prove that changing the input causes the same exact change for every individual.
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