A Sociology student investigated the association between a country's Literacy Rate and Life Expec - tancy, and then drew the conclusions listed below. Explain why each statement is incorrect. (Assume that all the calculations were done properly.)

a) The determines 64% of the Life Expectancy for a country.

b) The slope of the line shows that an increase of 5% in will produce a 2-year improvement in

Question

Mathematics

Lena Dodson

2 March, 16:10

A Sociology student investigated the association between a country's Literacy Rate and Life Expec - tancy, and then drew the conclusions listed below. Explain why each statement is incorrect. (Assume that all the calculations were done properly.)

a) The determines 64% of the Life Expectancy for a country.

b) The slope of the line shows that an increase of 5% in will produce a 2-year improvement in

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Answers (1)

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Kate · Answer 1

Step-by-step explanation:

(a) R2 does not determine the level of correlation between two variables in statistics but rather it is used to determine the level of variance in a dependent variable that is explained by an independent variable. It is also known as coefficient of determination.

Pearson's correlation coefficient (r) will better explain a direct relationship between a country's literacy rate and life expectancy and the value obtained will better explain option a

(b) The slope of the line can predict an improvement in life expectancy but cannot guarantee this improvement. And as such, the use of the word "will" suggests a form of guarantee which is wrong in interpreting slopes.