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AP Statistics 5.4: Interpreting Residuals

Interpret a residual’s sign by deciding whether the regression model underpredicts or overpredicts the observed response in context.

Syllabus
Effective Fall 2025
Course
AP Statistics

5.4.B—Interpret the differences between the observed and predicted values question 1

A biologist gathered data on the length, in millimeters (mm), and the mass, in grams (g), for 11 bullfrogs. The data are shown in Plot 1.

Figure for Question 5.4.B—Interpret the differences between the observed and predicted values question 1 — AP Statistics

From the data, the biologist calculated the least-squares regression line for predicting mass from length. The least-squares regression line is shown in Plot 2.

Official question visual

Official question visual

From Plot 2, consider the residuals of the 11 bullfrogs.

Does the least-squares regression line overestimate or underestimate the mass of the bullfrog identified in part (d-i)? Explain your answer.

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