1985The American StatisticianRequires access

A Basic Demonstration of the [-1, 1] Range for the Correlation Coefficient

Gary G. Koch

Open publisher page 6 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Correlation coefficient, Linear regression, Mathematics, Fisher transformation, Range (aeronautics), Correlation, Statistics, Correlation ratio

Related papers

Back to paper searchBrowse research topicsOriginal source
A Basic Demonstration of the [-1, 1] Range for the Correlation Coefficient — Research Paper | ScholarLens