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Correlation and Variation: Hair on Head

APSTAT-Y0JBVX

In a study among men of all ages, it was found that there was a correlation of $-0.8$ between how much hair you have on your head and how old you are. Which of the following is a reasonable conclusion?

A

The older you are, the less hair you will have.

B

$80\%$ of men will lose their hair.

C

$80\%$ of the variation of the hair on men's heads can be explained by the variation of their ages.

D

$64\%$ of the variation of the hair on men's heads can be explained by the variation of their ages.

E

$36\%$ of the variation of the hair on men's heads can be explained by the variation of their ages.