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 36: 28

Answer

(a) The scatter plot is shown in the image. The linear model is appropriate. (b) $y=0.331x+8.073$. The regression line is shown in the image. (c) $9.73$ and $12.38$ cents/kWh respectively

Work Step by Step

(a) The points on the table are plotted. (b) The regression line is found using technology where $m \approx 0.331$ and $b \approx 8.073$. (c) 5 and 13 are input into the regression line as follows: $y=0.331(5)+8.073 \approx 9.73$ $y=0.331(13)+8.073 \approx 12.38$
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