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Is The Sample Correlation Coefficient A Random Variable

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Is The Sample Correlation Coefficient A Random Variable. Linear means that correlation says nothing about possible nonlinear relationships; Complete correlation between two variables is expressed by either .

The Pearson Correlation Coefficient R X Y Of Two Random Variables X And Y With Var X Var Y Mathematics Stack Exchange
The Pearson Correlation Coefficient R X Y Of Two Random Variables X And Y With Var X Var Y Mathematics Stack Exchange from i.stack.imgur.com
The correlation coefficient is bounded by −1 ≤ ρ ≤ 1. That is, we do not assume that the data are generated by an underlying probability distribution. It is helpful instead to have a dimensionless measure of dependency, such as .

That is, we do not assume that the data are generated by an underlying probability distribution.

Linear means that correlation says nothing about possible nonlinear relationships; It is helpful instead to have a dimensionless measure of dependency, such as . , measuring the degree of correlation. But because we have only have sample data, we cannot calculate .

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