Statistics for the Life Sciences (5th Edition)

Published by Pearson
ISBN 10: 0-32198-958-9
ISBN 13: 978-0-32198-958-1

Chapter 12 - Linear Regression and Correlation - Exercises 12.5.1 - 12.5.10 - Page 548: 12.5.3

Answer

a) -.8474< B1< -.5937 b) We are 95% confident that plant density is between .84 and .59 less than cob weight.

Work Step by Step

-Confidence Interval = B1 +- T(.025)SEB1 -T(.025) is found with DF= 19 to be 2.093 from table 4 -B1 = r(SDy/SDx). All three values are given so B1= (-.9418)(24.95/32.61) SO B1 = -.7206 -SEB1 = SDe/SDx(Radical of n-2). SDe is found to be 8.6, and n = 20 so plug in. SEB1 = .0606 -PLUG all these values into Confidence Interval formula to yield CI = -.7206 +- (2.093)(.0606) \ SO -.8474 < B1 < -.5937
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