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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

5.4.A—Calculate 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.A—Calculate 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.

Based on the plot, approximately what is the length and mass of the bullfrog with the largest absolute value residual?

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