Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 10 - Correlation and Regression - Review Exercises - Section 10-3 - Page 604: 12


$79.41\leq y \leq 93.05$

Work Step by Step

Based on the data, we have the regression line $y' = 2.6623x + 64.936, n=9, \hat x=8, \hat y=86.23$ $c=0.95, \alpha/2=0.025, df=7, t_c=2.262$ $\sum (y-y')^2=56.67, s_e=\sqrt \frac{56.67}{9-2}=2.85$ $\bar x=7.41, \sum x=66.7, \sum x^2=536.0$ $E=2.262\times2.85\times\sqrt {1+\frac{1}{9}+\frac{9\times(8-7.41)^2}{9\times536-66.7^2}}=6.82$ Interval $(86.23-6.82, 86.23+6.82)$ which gives the y range $79.41\leq y \leq 93.05$
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