Chapter 14, Problem 36RE

(a)

To determine

To calculate: The linear regression model for $y=f\left(x\right)$ where x represents the millions of women and y represents the millions of men for the following table that gives the number of women and the number of men (both in millions) in the U.S. civilian labor force for selected years from 1950 and projected to 2050.

Women	Men
$18.4$	$43.8$
$23.2$	$46.4$
$31.5$	$51.2$
$45.5$	$61.5$
$56.8$	$69.0$
$65.7$	$75.2$
$75.5$	$82.2$
$78.6$	$84.2$
$79.3$	$85.4$
$81.6$	$88.5$
$86.5$	$94.0$
$91.5$	$100.3$

(b)

To determine

To calculate: The slope of the reported model $y=f\left(x\right)$ where x represents the millions of women and y represents the millions of men for the following table that gives the number of women and the number of men (both in millions) in the U.S. civilian labor force for selected years from 1950 and projected to 2050 and to interpret the meaning. The following table gives the number of women and the number of men (both in millions) in the U.S. civilian labor force for selected years from 1950 and projected to 2050.

Women	Men
$18.4$	$43.8$
$23.2$	$46.4$
$31.5$	$51.2$
$45.5$	$61.5$
$56.8$	$69.0$
$65.7$	$75.2$
$75.5$	$82.2$
$78.6$	$84.2$
$79.3$	$85.4$
$81.6$	$88.5$
$86.5$	$94.0$
$91.5$	$100.3$