The Basic Practice of Statistics 7th Edition

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

Chapter 7 - Exploring Data: Part I Review - Test Yourself - Page 190: 7.27

Answer

The coefficient of determination is $r^{2}$, which is the square of the linear correlation coefficient r $r^{2} = (0.217)^{2} = 0.047 = 4.7$% This indicates that 4.7% of the variation of food intake at age 55 has been explained by the food intake at age 18, which is very small. Hence, the correct option is: d.

Work Step by Step

The coefficient of determination is $r^{2}$, which is the square of the linear correlation coefficient r $r^{2} = (0.217)^{2} = 0.047 = 4.7$% This indicates that 4.7% of the variation of food intake at age 55 has been explained by the food intake at age 18, which is very small. Hence, the correct option is: d.
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