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: 12f

Answer

$Σresidual^2=15.303$ (Other answers are possible depending on the initial points chosen.)

Work Step by Step

Since $ŷ =0.933x−5.33$ $Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(0.933x_i−5.33)]^2=Σ(y_i-0.933x_i+5.33)^2$ $Σresidual^2=(2-0.933\times5+5.33)^2+(4-0.933\times10+5.33)^2+(7-0.933\times15+5.33)^2+(11-0.933\times20+5.33)^2+(18-0.933\times25+5.33)^2$ $Σresidual^2=15.303$
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