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Finding the Residual: Boys vs. Girls

APSTAT-LKBBJR

The least squares regression line for the number of boys and girls in a classroom is given as:

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

...where $b$ stands for boys and $g$ stands for girls. Mrs. Brancard's class has $11$ girls and $15$ boys.

Which of the following is the residual for the number of boys in her classroom?

A

$-15.3$

B

$-2.9$

C

$2.9$

D

$15.3$

E

$17.9$