Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 4 - Section 4.2 - Assess Your Understanding - Vocabulary and Skill Building - Page 215: 11g

Answer

$Σresidual^2=32.4$ (Other answers are possible depending on the initial points chosen.)

Work Step by Step

Since $ŷ =−0.72x+116.6$ $Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(−0.72x_i+116.6)]^2=Σ(y_i+0.72x_i-116.6)^2$ $Σresidual^2=(100+0.72\times20-116.6)^2+(95+0.72\times30-116.6)^2+(91+0.72\times40-116.6)^2+(83+0.72\times50-116.6)^2+(70+0.72\times60-116.6)^2$ $Σresidual^2=32.4$
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