Interpret slope and intercept of a linear model in the data context.
Interpret the slope of a linear model as predicted change per unit input
Problem
Interpret a slope of \(-\$500~\text{per}~\text{year}\) for a fitted car-value model.
Big Picture
What this problem is really about
A negative slope does not make the predicted output itself negative; it describes the direction of change. Separate sign from magnitude, attach output units per input unit, and translate a one-unit increase in the input into a decrease of the stated magnitude in the model’s prediction.
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