The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 26 - Inference for Regression - Chapter 26 Exercises - Page 640: 26.31a

Answer

$(0.1178,0.1467)$

Work Step by Step

The degree of freedom is the sample size minus $2$: $df=n-2=37-2=35\gt30$. The critical value is given in the row $df=30$ and in the column with $c=0.95$ of the table. Thus $t=2.042$. The confidence interval is then: $b\pm tSE_b=0.132259\pm2.042\cdot0.007067$, thus the confidence interval is: $(0.1178,0.1467)$
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