Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Fitting Lines to Data - Problems - Page 145: 4

Answer

$(a)$ See the image below. $(b)$ $y = 1.84458x - 3318.48042$ Where $y$ is the level of $CO_2$ and $x$ is year. $(c)$ $ \approx 391.0$ The actual level of $CO_2$ was $0.6$ higher than the value calculated by approximation.

Work Step by Step

$(a)$ See the image above. $(b)$ We can simply input the data into the regression line calculator and find the function: $y = 1.84458x - 3318.48042$ Where $y$ is the level of $CO_2$ and $x$ is year. $(c)$ If $x=2011$ $y = 1.84458\times 2011 - 3318.48042 \approx 391.0$ The actual level of $CO_2$ was $0.6$ higher than the value calculated by approximation.
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