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: 26

Answer

(a) $y=0.019x+0.305$ (b) The scatter plot and regression line are shown in the image. The regression line does not appear to be a suitable model. (c) The y-intercept represents the percentage of mice that develop lung tumors with no exposure to asbestos.

Work Step by Step

(a) Technology is used to find this regression line (b) The regression line does not appear to be a suitable model since most data points are not on the line or close to the line and are thus not well approximated by a linear function. (c) The y-intercept is when $x=0$, which in this case means exposure to 0 asbestos fibers per mL. Thus, it is the percent of mice that develop lung tumors without exposure to asbestos.
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