Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 14 - Section 14.3 - Assess Your Understanding - Vocabulary and Skill Building - Page 720: 12e

Answer

$ŷ=90.00-1.943x_2+0.632x_3$ There is enough evidence to conclude that there is a linear relation between both explanatory variables, $x_2$ and $x_3$, with the response variable, $y$.

Work Step by Step

In MINITAB, enter the $x_2$ values in C1, the $x_3$ values in C2 and the $y$ values in C3. Select Stats -> Regression -> Regression -> Fit Regression Model Enter C3 in "Responses" and C1 C2 in "Continuous Predictors" The new least-squares regression line will be shown in "Regression Equation", where C3 is $ŷ$, C1 is $x_2$ and C2 is $x_3$ $ŷ=90.00-1.943x_2+0.632x_3$ $H_0: β_2=β_3=0$ versus $H_1: at~least~one~β_i\ne0$ $F_0=21.19$ with a P-value $=0.001\ltα$. Reject the null hypothesis. 1) $H_0: β_2=0$ versus $H_1: β_2\ne0$ $t_0=-3.02$ with a P-value $=0.019\ltα$. Reject the null hypothesis. 2) $H_0: β_3=0$ versus $H_1: β_3\ne0$ $t_0=2.52$ with a P-value $=0.040\ltα$. Reject the null hypothesis.
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