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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7, Problem 84RE
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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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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 P-14ESect-7.2 P-15ESect-7.2 P-16ESect-7.2 P-17ESect-7.2 P-18ESect-7.2 P-19ESect-7.2 P-20ESect-7.2 P-21ESect-7.2 P-22ESect-7.2 P-23ESect-7.2 P-24ESect-7.2 P-25ESect-7.2 P-26ESect-7.2 P-27ESect-7.2 P-28ESect-7.2 P-35ESect-7.2 P-36ESect-7.2 P-37ESect-7.2 P-38ESect-7.2 P-39ESect-7.2 P-40ESect-7.2 P-41ESect-7.2 P-42ESect-7.2 P-43ESect-7.2 P-44ESect-7.2 P-45ESect-7.2 P-46ESect-7.2 P-47ESect-7.2 P-48ESect-7.2 P-49ESect-7.2 P-50ESect-7.2 P-51ESect-7.3 P-1CPSect-7.3 P-2CPSect-7.3 P-3CPSect-7.3 P-4CPSect-7.3 P-5CPSect-7.3 P-1SWUSect-7.3 P-2SWUSect-7.3 P-3SWUSect-7.3 P-4SWUSect-7.3 P-5SWUSect-7.3 P-6SWUSect-7.3 P-7SWUSect-7.3 P-8SWUSect-7.3 P-9SWUSect-7.3 P-10SWUSect-7.3 P-1ESect-7.3 P-2ESect-7.3 P-3ESect-7.3 P-4ESect-7.3 P-5ESect-7.3 P-6ESect-7.3 P-7ESect-7.3 P-8ESect-7.3 P-9ESect-7.3 P-10ESect-7.3 P-11ESect-7.3 P-12ESect-7.3 P-13ESect-7.3 P-14ESect-7.3 P-15ESect-7.3 P-16ESect-7.3 P-17ESect-7.3 P-18ESect-7.3 P-19ESect-7.3 P-20ESect-7.3 P-21ESect-7.3 P-22ESect-7.3 P-23ESect-7.3 P-24ESect-7.3 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P-2SWUSect-7.7 P-3SWUSect-7.7 P-4SWUSect-7.7 P-5SWUSect-7.7 P-6SWUSect-7.7 P-7SWUSect-7.7 P-8SWUSect-7.7 P-1ESect-7.7 P-2ESect-7.7 P-3ESect-7.7 P-4ESect-7.7 P-5ESect-7.7 P-6ESect-7.7 P-7ESect-7.7 P-8ESect-7.7 P-9ESect-7.7 P-10ESect-7.7 P-11ESect-7.7 P-12ESect-7.7 P-13ESect-7.7 P-14ESect-7.7 P-15ESect-7.7 P-16ESect-7.7 P-17ESect-7.7 P-18ESect-7.7 P-19ESect-7.7 P-20ESect-7.7 P-21ESect-7.7 P-22ESect-7.7 P-23ESect-7.7 P-24ESect-7.7 P-25ESect-7.7 P-26ESect-7.7 P-27ESect-7.7 P-28ESect-7.7 P-29ESect-7.7 P-30ESect-7.8 P-1CPSect-7.8 P-2CPSect-7.8 P-3CPSect-7.8 P-4CPSect-7.8 P-5CPSect-7.8 P-6CPSect-7.8 P-1SWUSect-7.8 P-2SWUSect-7.8 P-3SWUSect-7.8 P-4SWUSect-7.8 P-5SWUSect-7.8 P-6SWUSect-7.8 P-7SWUSect-7.8 P-8SWUSect-7.8 P-9SWUSect-7.8 P-10SWUSect-7.8 P-11SWUSect-7.8 P-12SWUSect-7.8 P-13SWUSect-7.8 P-14SWUSect-7.8 P-15SWUSect-7.8 P-16SWUSect-7.8 P-1ESect-7.8 P-2ESect-7.8 P-3ESect-7.8 P-4ESect-7.8 P-5ESect-7.8 P-6ESect-7.8 P-7ESect-7.8 P-8ESect-7.8 P-9ESect-7.8 P-10ESect-7.8 P-11ESect-7.8 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P-56RECh-7 P-57RECh-7 P-58RECh-7 P-59RECh-7 P-60RECh-7 P-61RECh-7 P-62RECh-7 P-63RECh-7 P-64RECh-7 P-65RECh-7 P-66RECh-7 P-67RECh-7 P-68RECh-7 P-69RECh-7 P-70RECh-7 P-71RECh-7 P-72RECh-7 P-73RECh-7 P-74RECh-7 P-75RECh-7 P-76RECh-7 P-77RECh-7 P-78RECh-7 P-79RECh-7 P-80RECh-7 P-81RECh-7 P-82RECh-7 P-83RECh-7 P-84RECh-7 P-85RECh-7 P-86RECh-7 P-87RECh-7 P-88RECh-7 P-89RECh-7 P-90RECh-7 P-91RECh-7 P-92RECh-7 P-93RECh-7 P-94RECh-7 P-95RECh-7 P-96RECh-7 P-97RECh-7 P-98RECh-7 P-99RECh-7 P-100RECh-7 P-101RECh-7 P-102RECh-7 P-103RECh-7 P-104RECh-7 P-1TYSCh-7 P-2TYSCh-7 P-3TYSCh-7 P-4TYSCh-7 P-5TYSCh-7 P-6TYSCh-7 P-7TYSCh-7 P-8TYSCh-7 P-9TYSCh-7 P-10TYSCh-7 P-11TYSCh-7 P-12TYSCh-7 P-13TYSCh-7 P-14TYSCh-7 P-15TYSCh-7 P-16TYSCh-7 P-17TYSCh-7 P-18TYSCh-7 P-19TYSCh-7 P-20TYSCh-7 P-21TYSCh-7 P-22TYS

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Graph the region between the curves and use your calculator to compute the area correct to five decimal places....

Single Variable Calculus: Early Transcendentals, Volume I

Sketching Transformations Consider the graph of the function f shown below. Use this graph to sketch the graphs...

Calculus: Early Transcendental Functions

Evaluate the expression sin Exercises 116. (2)3

Finite Mathematics and Applied Calculus (MindTap Course List)

Intervals Express each set in interval notation. 60. (a) (b)

Precalculus: Mathematics for Calculus (Standalone Book)

For each of the following research situations, identify the level of measurement of all variables. Also, decide...

Essentials Of Statistics

Recent research suggests that the amount of lime that parents spend talking about numbers can have a big impact...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 3540, rationalize the numerator of each expression. 38. x1x

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Write a trial solution for the method of undetermined coefficients. Do not determine the coefficients. y+4y=e3x...

Calculus (MindTap Course List)

Critical Thinking: Data Transformation Using Multiplication In this problem, we explore the effect on the mean,...

Understanding Basic Statistics

Gaucher, Friesen, and Kay (2010) found that masculine-themed words (such as competitive, independent, analyze, ...

Statistics for The Behavioral Sciences (MindTap Course List)

Determine the infinite limit. 35. limx(/2)+1xsecx

Single Variable Calculus

Vacation Money Shelly has saved same money for a vacation Shelly spends half of her vacation many on an airline...

Mathematical Excursions (MindTap Course List)

Rewrite each expression in Exercises 116 as a single rational expression, simplified as much as possible. y2x[2...

Finite Mathematics

Thoughts Into Words Explain why the solution set of the equation 3(x+5)=3x+15 is the entire set of real numbers...

Intermediate Algebra

A more accurate approximation to E[h(X1, . . . , Xn)] in Exercise 95 is h(1,n)+1212(2hx12)++12n2(2hxn2) Compute...

Probability and Statistics for Engineering and the Sciences

In problems 63-73, factor each expression completely. 65.

Mathematical Applications for the Management, Life, and Social Sciences

Find the derivative of the function. Simplify where possible. 59. y=arccos(b+acosxa+bcosx),0x,ab0

Single Variable Calculus: Early Transcendentals

Use proportions to solve Review Exercises 9 to 11. Four containers of fruit juice cost 3.52. How much do six co...

Elementary Geometry For College Students, 7e

For each equation, identify the period, horizontal shift, and phase. Do not sketch the graph. y=cos(3x+3)

Trigonometry (MindTap Course List)

120. Find the median measurement for each set of measurements in Exercises 120 of Exercises 15.5. A trucking co...

Elementary Technical Mathematics

Give an example of a p-group of order .

Elements Of Modern Algebra

Add the following fractions and reduce to lowest terms. 56+1256+36_86=126=113__

Contemporary Mathematics for Business & Consumers

Extended Mean Value Theorem In Exercises 9194, apply the Extended Mean Value Theorem to the functions f and g o...

Calculus: Early Transcendental Functions (MindTap Course List)

Continuity on a Closed Interval In Exercises 35-38, discuss the continuity of the function on the closed interv...

Calculus of a Single Variable

Let A=[0.080.600.300.040.020.010.0200.06] Show that (IA)1=[1.120.690.370.051.050.030.020.011.07]

Finite Mathematics for the Managerial, Life, and Social Sciences

A periscope uses an indirect method of observation. This instrument allows one to see what would otherwise be o...

Elementary Geometry for College Students

Using Lagrange MultipliersIn Exercises 9398, use Lagrange Multipliers to find the indicated extrema, assuming t...

Calculus

True or False: Every series must do one of these: converge absolutely, converge conditionally, or diverge.

Study Guide for Stewart's Multivariable Calculus, 8th

True or False: The Alternating Series Test may be applied to determine the convergence of n=12+(1)n2n2.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

EXPLORING CONCEPTS Think About It Given that lim(x,y)(1,0)f(x,y)=0, does lim(x,0)(0,0)f(x,0)=0? Explain.

Multivariable Calculus

EXPLORING CONCEPTS Think About ItExplain why the derivative of x2+y2+2=1 does not mean anything.

Calculus (MindTap Course List)

The five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips! (A...

Statistics for Business & Economics, Revised (MindTap Course List)

The paper Aspects of Food Finding by Wintering Bald Eagles (The Auk [1983]: 477484) examined the relationship b...

Introduction To Statistics And Data Analysis

Dr. Kim wants to conduct a study on memory in nursing home residents. He contacts local nursing homes and selec...

Research Methods for the Behavioral Sciences (MindTap Course List)

Find the unknown area, length, or width for each of the rectangles 31 through 42. Where necessary, round the an...

Mathematics For Machine Technology

A quality control process monitors the weight per carton of laundry detergent. Control limits are set at UCL = ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Practice Simplify each radical expression. -2435

College Algebra (MindTap Course List)

Explain how an idea for a new research study can be obtained from an existing research publication and use exis...

Research Methods for the Behavioral Sciences (MindTap Course List)

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