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What is the formula for calculating the correlation coefficient r?
The formula for calculating the correlation coefficient r is:
The absolute value of the r value lies between 0 and 1. In general, the closer r is to 1, the stronger the correlation between the two quantities x and y. Conversely, the closer r is to 0, the weaker the correlation between the two quantities x and y. It is generally recognized that:
This kind of interrelationship between variables is known as a correlation with uncertainty.
(1) Perfect correlation: a relationship between two variables in which the change in the quantity of one variable is uniquely determined by the change in the quantity of the other variable, i.e., a functional relationship.
(2) Incomplete correlation: a relationship between two variables that falls between uncorrelated and complete correlation.
(3) Uncorrelated: if two variables are independent of each other's change in quantity, there is no relationship.
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