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Temperature and air pollution are known to be correlated. We collect data from two laboratories, in Boston and Montreal. Boston makes their measurements of temperature in Fahrenheit, and Montreal in degrees centigrade. Boston measures pollution in particles per cubic yard of air; Montreal uses cubic meters. Both report a correlation of exactly 0.58 between temperature and pollution. Which of the following is true:

A. Boston really has the higher correlation, because Fahrenheit temperatures are higher than Centigrade.

B. Montreal really has the higher correlation, because cubic meters are bigger than cubic yards.

C. Both cities have the same correlation, because correlation is independent of the units of measurement.

D. We do not know which city has the really higher correlation.

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Statistics and Probability, Statistics

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