Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

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

Answer

(a) Scatter plot shown in image (b) $y = 1.88074x + 82.64974$. Regression line shown in image. (c) $182.3$ cm
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Work Step by Step

(a) Plot the points from the table. (b) Using technology, a regression line equation is found with $m \approx 1.88074$ and $b \approx 82.64974$. Thus the equation is: $y = 1.88074x + 82.64974$ Points are plotted from this function and joined to find the graph. (c) 53 cm is input into the equation in (b). $y=(1.88074)(53)+82.64974 \approx 182.3$
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