The percentage of adults in the labor force ages 65 and older who are still working has risen since 1990. The table below shows the data from 1990 to 2007. Let x represent the number of years after 1990.(a) Use the method of least squares to find the best line that fits these data.(b) Estimate the percent for the year 1991.(c) If the trend determined by the straight line in part (a) continues, when will the percent reach 16.8?Year19901995200020052007% of Labor Force11.412.113.313.915.1(a) The line is y = x+%3D(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.)(b) In the year 19the labor force is predicted to be 65 years old and older.(Use the answer from part a to find this answer. Round to the nearest tenth as needed.)(c) The percent will reach 16.8 in the year(Use the answer from part a to find this answer. Round to the nearest year as needed.)

Given: Year, X % of labor force, Y 1990 11.4 1995 12.1 2000 13.3 2005 13.9 2007 15.1

Answered: (a) The line is y =+ (Type an…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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