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AP® Statistics

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Moderate

Changing Units and the Effect It Has on Correlation

APSTAT-JUNRKR

The correlation between distance (in kilometers) and airfare (in dollars) is $0.8$.

If we were to change the distance to be measured to miles (all the values in the distance will therefore be divided by $1.61$), what effect will this have on the correlation?

A

The correlation will become $0.5$.

B

The correlation will decrease by $0.5$, making the new correlation $0.3$.

C

The correlation will become $1.3$.

D

Since only the distance measurements have changed, the correlation will decrease significantly.

E

Because changing units does not affect the correlation, the correlation will remain the same.