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: 12g

Answer

$Σresidual^2=9.1$ (Other answers are possible depending on the initial points chosen.)

Work Step by Step

Since $ŷ =0.780x−3.3$ $Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(0.780x_i−3.3)]^2=Σ(y_i-0.780x_i+3.3)^2$ $Σresidual^2=(2-0.78\times5+3.3)^2+(4-0.78\times10+3.3)^2+(7-0.78\times15+3.3)^2+(11-0.78\times20+3.3)^2+(18-0.78\times25+3.3)^2$ $Σresidual^2=9.1$
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