A Basic Demonstration of the [-1, 1] Range for the Correlation Coefficient
Gary G. Koch
Abstract
Gary G. Koch
Abstract
The structure of the variance of linear functions of two variables is used to show that the correlation coefficient lies in the range [-1, 1]. It also allows the role of the correlation coefficient in linear regression to be described.
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The structure of the variance of linear functions of two variables is used to show that the correlation coefficient lies in the range [-1, 1]. It also allows the role of the correlation coefficient in linear regression to be described.
Key concepts: Correlation coefficient, Linear regression, Mathematics, Fisher transformation, Range (aeronautics), Correlation, Statistics, Correlation ratio