Chapter 5.5, Problem 9E

Reminder Round all the answers to two decimal places unless otherwise indicated.

Women Employed Outside the Home The following table shows the number, in millions, of women employed outside the home in the given year.

Year	Number, in millions
$1942$	$16.11$
$1943$	$18.70$
$1944$	$19.17$
$1945$	$19.03$
$1946$	$16.78$

a. Use regression to find a quadratic model for the data. (Round the regression parameters to three decimal places.)

b. Express using functional notation the number of women working outside the home in $1947$, and then estimate that value.

c. The actual number of women working outside the home in $1947$ was $16.90$ million, whereas in $1948$ the number was $17.58$ million. In light of this, is a quadratic model appropriate for the period from $1942$ through $1948$?