Chapter 14, Problem 36RE

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

**Modeling Civilian workforce** 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.

(a) Let *x* represent the millions of women and *y* represent the millions of men and find the linear regression model for

(b) Find and interpret the slope of the reported model.

U.S. Civilian Workforce (in millions): 1950-2050

Women |
Men |
Women |
Men |
||

18.4 | 43.8 | 45.5 | 61.5 | ||

23.2 | 46.4 | 56.8 | 69.0 | ||

31.5 | 51.2 | 65.7 | 75.2 | ||

Women |
Men |
Women |
Men |
||

75.5 | 82.2 | 81.6 | 88.5 | ||

78.6 | 84.2 | 86.5 | 94.0 | ||

79.3 | 85.4 | 91.5 | 100.3 |

*Source:* U.S. Bureau of Libor Statistics

**(a)**

To determine

**To calculate:** The linear regression model for *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 |

Explanation

**Given Information:**

The provided 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 |

**Formula used:**

According to linear regression equation, the equation of the line that is the best fit for the given data points

**Calculation:**

Let

That is,

Let

That is,

Since, the number of data points is

Thus,

Calculate the value of *b*.

Substitute 12 for *n* in

That is,

**(b)**

To determine

**To calculate:** The slope of the reported model *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 |

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