Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 14 - Review - Test - Page 731: 3a

Answer

$β_0=29.70$ $β_1=2.635$ $ŷ =48.145~inches$

Work Step by Step

In MINITAB, enter the Age values in C1 and in C2 enter the Boy Height values. Select Stats -> Regression -> Regression -> Fit Regression Model Enter C2 in "Responses" and C1 in "Continuous Predictors" The least-squares regression line ($ŷ =b_1x+b_0$) will be shown in "Regression Equation", where C2 is ŷ (Boy Height) and C1 is x (Age) $ŷ =2.635x+29.70$ That is: $b_0=29.70$ and $b_1=2.635$ $b_0$ is the estimate for $β_0$ and $b_1$ is the estimate for $β_1$. For a 7-year-old boy, that is, $x=7$: $ŷ =2.635\times7+29.70=48.145$
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