* (number of job changes) Y (Salary in $1000) 10 10 3 36 37 34 32 32 38 43 37 40 33 Ex = 58; Ey = 362; Ex2 = 422; Ey2 = 13,220; Exy = 2,170 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) х- ý = х (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. 50 50 45- 45 4아 35 35 3아 25 25 20 20 10 6. 10 50 50 45 45 4아 40 35 35 30 3아 25 25 20 20 10 2 6. 10 (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) 2- What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) (d) If someone had x = 10 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) thousand dollars

* (number of job changes) Y (Salary in $1000) 10 10 3 36 37 34 32 32 38 43 37 40 33 Ex = 58; Ey = 362; Ex2 = 422; Ey2 = 13,220; Exy = 2,170 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) х- ý = х (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. 50 50 45- 45 4아 35 35 3아 25 25 20 20 10 6. 10 50 50 45 45 4아 40 35 35 30 3아 25 25 20 20 10 2 6. 10 (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) 2- What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) (d) If someone had x = 10 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) thousand dollars

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 34EQ

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