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 - Check Your Skills - Page 637: 26.23

Answer

(b).

Work Step by Step

We can find the slope $b$ in the row "appraised" and the column "Coeff," thus $b=1.2103$. We can find standard error of the slope $b$ in the row "appraised" and the column "SE Coeff", thus $SE_b=0.154$. The degree of freedom is the sample size minus $2$: $df=n-2=47-2=45\gt40$. The critical value is given in the row $df=40$ and in the column with $c=0.95$ of the table. Thus $t=2.021$. The confidence interval is then: $b\pm tSE_b=1.2103\pm2.021\cdot0.154=1.2103\pm0.3112$, thus the answer is (b).
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