Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 11 - Simple Linear Regression - Exercises 11.1 - 11.10 - Understanding the Principles: 11.4

Answer

Every value of the variable y will always fall exactly on the line of means.

Work Step by Step

For y to fall exactly on line of means, it must satisfy fol condition: $y = β_{o} + β{1}x$ However in probabilistic model: $y = line of means + Ɛ where Ɛ is an extra factor whose value can be positive or negative, which will deviate the value of y from line of means.
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