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AP® Statistics

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Finding the Actual Value When Given the Residual: Boys vs. Girls

APSTAT-XMXJTR

The least squares regression line for boys and girls in a classroom is given by:

$$\hat { b } = -5.2 + 2.1g$$

...where $b$ is boys and $g$ is girls.

If Mr. Law has $12$ girls in his class and his residual is $3$, how may boys does he have in his class?

A

$17$

B

$20$

C

$22.2$

D

$23$

E

$28$