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

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
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.
The least-squares regression line overestimates the mass of the bullfrog with length 162 millimeters. Plot 2 shows that the point for the bullfrog with length 162 millimeters is below the least-squares regression line.
Scoring:
Essentially correct (E) if the response explicitly indicates whether the linear model overestimates or underestimates mass for the identified bullfrog and provides a correct justification based on comparison with the least-squares regression line.
Partially correct (P) if the response satisfies only one of these two components.
Incorrect (I) if the response does not meet the criteria for E or P.