AP Statistics 5.4: Calculating Residuals
Calculate a residual by subtracting the predicted response from the observed response and use the result to locate unusual observations.
- Syllabus
- Effective Fall 2025
- Course
- AP Statistics
Calculate a residual by subtracting the predicted response from the observed response and use the result to locate unusual observations.
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.
Based on the plot, approximately what is the length and mass of the bullfrog with the largest absolute value residual?
The largest residual in absolute value belongs to the bullfrog with length 162 millimeters and mass 356 grams.
Scoring:
Essentially correct (E) if the response identifies the correct bullfrog, with length between 160 and 165 millimeters and mass between 350 and 375 grams.
Partially correct (P) if the response does not satisfy the complete criterion but identifies a relevant residual observation.
Incorrect (I) if the response does not meet the criteria for E or P.