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Changing the units of measurement on either (or both) variables will have no effect on the calculated value of r, because any change in units will affect both the numeratorand denominator of r by exactly the same multiplicative constant.



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Changing the units of measurement on either (or both) variables will indeed have no effect on the calculated value of r, because any change in units will affect both the numerator and denominator of r by exactly the same multiplicative constant. This means that the correlation coefficient r is unit-less, and its value remains unchanged even if the units of the variables are changed.

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