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 216: 15d

Answer

The residual for San Francisco is 0.083. Since this residual is positive, we can say that San Francisco has an above average winning percentage for teams with an on-base percentage of 0.321.

Work Step by Step

i) Calculate predicted y value $\hat{y} = 3.4722x - 0.6294$ $\hat{y} = 3.4722(0.321) - 0.6294$ $\hat{y} \approx 0.485$ ii) Calculate Residual Residual = Observed value - predicted value Residual = 0.568 - 0.485 Residual = 0.083 iii) The residual for San Francisco is 0.083. Since this residual is positive, we can say that San Francisco has an above average winning percentage for teams with an on-base percentage of 0.321.
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