Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises - Page 35: 25

Answer

(a) See the image below (b) $y=1.88x+82.65$ (Red line graph on the image below) (c) $182.3cm$

Work Step by Step

(a) We simply input all the data provided (See the image: blue dots) (b) Using the Regression Line Calculator, we can calculate the equation of the regression line and then graph it: $m=1.88074\approx1.88$ $b=82.64974\approx82.65$ So, we will get the linear equation: $y=1.88x+82.65$ (c) To calculate how tall the person was according to his femur of $53cm$, we can simply input it into the equation formed in (b): $y=1.88x+82.65$ $y=1.88\times53 + 82.65=182.29\approx182.3$
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