Properties of correlation coefficient

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The properties of Correlation Coefficient

• The correlation coefficient lies between  -1 and +1. This means it can never be greater than +1 or less than -1
• It is the geometric mean of the two regression coefficients.
• It is symmetrical with respect to x and y. This implies that $r_{xy}=r_{yx}$
• It is a number that does not depend given units. If the calculated correlation is 0.5 in ages, it can never be 0.5 years.
• It is independent of unit of measurement and origin.

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