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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Master’s Degrees The number of men x (in thousands) and the number of women y (in thousands) in the United States that attained a master’s degree from 2007 through 2012 are shown in the table.

(Source: U.S. Department of Education)

Year 2007 2008 2009
Men. x 242.2 250.2 263.5
Women, y 368.4 380.5 398.5
Year 2010 2011 2012
Men. x 275.2 291.6 302.2
Women, v 417.8 439.1 452.0

Spreadsheet at LarsonApplicdCalculus.com

(a) Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the data.

(b) Estimate the number of women that attain a master’s degree when 400 thousand men attain a master’s degree.

(a)

To determine

To calculate: The least square regression line for the data of the number of men and women both in thousands in United states that attained a master’s degree from 2007 to 2012 provided below, by the use of regression capabilities of a graphing utility,

Year 2007 2008 2009 2010 2011 2012
Men, x 242.2 250.2 263.5 275.2 291.6 302.2
Women, y 368.4 380.5 398.5 417.8 439.1 452.0
Explanation

Given Information:

The data of the number of men and women both in thousands in United States that attained a master’s degree from 2007 to 2012 is provided below,

Year 2007 2008 2009 2010 2011 2012
Men, x 242.2 250.2 263.5 275.2 291.6 302.2
Women, y 368.4 380.5 398.5 417.8 439.1 452.0

Calculation:

In order to determine the least square regression line for the provided data use the TI-83 graphing calculator and follow the steps mentioned below as,

Step 1: Press the [STAT] key followed by 1 to edit the values.

Step 2: Now fill the table appear on screen. Enter the values provided in the data shown below as,

L1L2242

(b)

To determine

To calculate: The number of woman that attain a master’s degree when 400 thousand men attain a master’s degree and the data of the number of men and women both in thousands in United states that attained a master’s degree from 2007 to 2012 provided below,

Year 2007 2008 2009 2010 2011 2012
Men, x 242.2 250.2 263.5 275.2 291.6 302.2
Women, y 368.4 380.5 398.5 417.8 439.1 452.0

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