The Basic Practice of Statistics 7th Edition

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

Chapter 4 - Scatterplots and Correlation - Apply Your Knowledge: 4.13

Answer

Please see the scatter plot attached. The correlation coefficient is zero.
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Work Step by Step

The correlation is zero since there are two pairs of differences for the x values and the y values. (For the x-values, there are two values of differences of 10 [40-50 and 60-50] and two values of differences of 20 [30-50 and 70-50].) The same thing happens with the y-values, thus making a correlation of 0.
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