Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 8, Problem 24E

(a)

To determine

To explain why each statement is incorrect.

(a)

Expert Solution
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Explanation of Solution

It is given in the question that a sociology student investigated the association between a country’s literacy rate and life expectancy then they drew the conclusions. The conclusion was “The literacy rate determines 64% of the life expectancy for a country”. This is incorrect because the R2 measures the amount of variation that is accounted for. It does not mean that x will determine the values of y . in this case, literacy rate accounts for 64% of the observed variation in life expectancy.

(b)

To determine

To explain why each statement is incorrect.

(b)

Expert Solution
Check Mark

Explanation of Solution

It is given in the question that a sociology student investigated the association between a country’s literacy rate and life expectancy then they drew the conclusions. The conclusion was “The slope of the line shows that an increase of 5% in literacy rate will produce a two-year improvement in life expectancy. This conclusion is incorrect because this interpretation implies that there is a casual relationship. Even though two variables may be related, this does not mean that one causes the other. In this case, one could say that a 5% increase in literacy rate is associated with an average two-year improvement in life expectancy.

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