SAT Math · Two-variable data: models and scatterplots · medium
A linear model was used to predict the weight of four different animals based on their length. The residuals (actual minus predicted…
A linear model was used to predict the weight of four different animals based on their length. The residuals (actual minus predicted weight) for the four animals were , , , and pounds. Which animal's weight was modeled LEAST accurately?
Answer and explanation
Answer: D: The animal with a residual of +5 pounds
Prediction accuracy depends on the size of the error, not its direction. A residual of and a residual of are equally far from the line. Compare the absolute values: , , , . The largest is 5, so the animal with a residual of pounds was modeled least accurately, choice D. Choice A () is the most accurate, with the smallest error. Choice B () is the tempting choice if you treat the most negative value as the worst. Choice C is false, since the errors differ.
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