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Interpret Slope and Intercept in Context

The slope of the regression line is the average change in y per unit increase in x. The intercept is the predicted y-value when x = 0.

Algebra 1Common Core HSS-ID.C.7S-IDVerified correct ✓

Worked examples

A researcher models the relationship between hours of sleep (x) and reaction time in milliseconds (y) using the regression line ŷ = 320 − 48x. (a) Interpret the slope in context: what does it mean for each additional hour of sleep? (b) Interpret the y-intercept in context. (c) Is the y-intercept meaningful in this situation? Explain why or why not.
Answer:
A researcher models the relationship between hours of sleep (x) and reaction time in milliseconds (y) using the regression line ŷ = 320 − 87x. (a) Interpret the slope in context: what does it mean for each additional hour of sleep? (b) Interpret the y-intercept in context. (c) Is the y-intercept meaningful in this situation? Explain why or why not.
Answer:

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