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: 9f

Answer

$Σresidual^2=3$ (Other answers are possible depending on the initial points chosen.)

Work Step by Step

Since $ŷ =2x+1$ $Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(2x_i+1)]^2=Σ(y_i-2x_i-1)^2$ $Σresidual^2=(-4-2\times(-2)-1)^2+(0-2\times(-1)-1)^2+(1-2\times0-1)^2+(4-2\times1-1)^2+(5-2\times2-1)^2$ $Σresidual^2=3$
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