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 146: 8

Answer

$(a)$ See the image below $(b)$ $y=-3.90179x+419.67857$ $y$ stands for the MRT score and $x$ stands for the noise level $(c)$ Correlation coefficient $r=-0.9806$. The linear model is appropriate. $(d)$ $\approx 52.9\%$

Work Step by Step

$(a)$ See the image above $(b)$ We can find them using regression line calculator and graphing calculator (see the image above): $y=-3.90179x+419.67857$ $y$ stands for the MRT score and $x$ stands for the noise level $(c)$ Correlation coefficient $r=-0.9806$. Since the $r$ coefficient is very close to $-1$ we can assume that the model is appropriate. $(d)$ If $x=94dB$ $y=-3.90179\times94+419.67857 \approx 52.9\%$
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