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: 26

Answer

(a) Linear equation for the line is: $y= 0.019x+0.305$ (b) Regression line is shown on the image below. The line is suitable for the model. (c) The y-intercept represents the percentage of mice that develop lung tumors with no exposure to asbestos.

Work Step by Step

(a) Inputing the data provided in a regression line calculator we will get: $m = 0.01879 \approx 0.019$ $b = 0.3048 \approx 0.305$ $y = 0.019x + 0.305$ (b) The regression line is shown on the image. As you can see, the line is reasonably suitable for the model. (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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