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: 8f

Answer

$Σresidual^2=2.34$ (Other values are possible depending on the initial points chosen.)

Work Step by Step

Since $ŷ =1.167x−3.835$ $Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(1.167x_i−3.835)]^2=Σ(y_i-1.167x_i+3.835)^2$ $Σresidual^2=(0-1.167\times3+3.835)^2+(2-1.167\times5+3.835)^2+(3-1.167\times7+3.835)^2+(6-1.167\times9+3.835)^2+(9-1.167\times11+3.835)^2$ $Σresidual^2=2.34$
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