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: 4

Answer

$\hat y = \bar{y}$ The regression line will be equal to the y-intercept and the mean value of the response variable $y$.

Work Step by Step

Equation of least square regression is: $\hat y = b_{1}x + b_{o}$ If we put x = 0, then: $\hat y = b_{1}\times 0 + b_{o}$ $\hat y = b_{o}$ And $b_{o}=\bar{y}$ (the y-intercept is the mean value of the response variable $y$).
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