?

AP® Statistics

Free Version

Upgrade subject to access all content

Moderate

Calculating a Residual: Birth Rate

APSTAT-K6YPGV

A least squares regression line was fitted to the birth rate (per $1000$ women) of women, ages 15-44, in the United States from $1997$ to $2009$.

The equation of the line is $ \widehat { y } =154.16-.07x$, where $\widehat { y } $ is the birth rate (per $1000$ women) and $x$ is the year. The birth rate in $2000$ was $14.7$ (per $1000$ women).

Which of the following is the residual of the birth rate (per $1000$ women) in the year $2000$?

A

$-14.16$

B

$-0.54$

C

$0.54$

D

$14.16$

E

$14.7$