The correlation coefficient would not change when the units of one of the variables are different in the two cases.
What is the correlation coefficient?
Correlation coefficient is a measure of linear dependency between a pair of random variables. Correlation often is used as a measure of agreement between rainfall estimates based on different sensors; radar–rain gauge comparison studies are a prime example.
The Correlation of rainfall at two or more gauging stations is used in data quality-control applications, rainfall prediction, and climate characterizations. Correlation has been widely used to characterize the complex spatial structure of rainfall pattern
Hence the correlation coefficient would not change when the units of one of the variables are different in the two cases.
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