Correlation Coefficient Definition

A statistical measure that quantifies the strength and direction of the linear relationship between two variables is called the Correlation coefficient. Generally, it is denoted by the symbol ‘r’ and ranges from -1 to 1.

Correlation Coefficient Formula

Correlation Coefficient Formula: The correlation coefficient is a statistical measure used to quantify the relationship between predicted and observed values in a statistical analysis. It provides insight into the degree of precision between these predicted and actual values.

Correlation coefficients are used to calculate how vital a connection is between two variables. There are different types of correlation coefficients, one of the most popular is Pearson’s correlation (also known as Pearson’s R)which is commonly used in linear regression.

In this article, learn about the correlation coefficient formula, along with what is correlation, its types, examples, and problems.

Table of Content

  • What is Correlation?
  • Correlation Coefficient Definition
  • What is Correlation Coefficient Formula?
    • Understanding Correlation Coefficient
  • Types of Correlation Coefficient Formula
    • Pearson’s Correlation Coefficient Formula
    • Sample Correlation Coefficient Formula
  • Population Correlation Coefficient Formula
  • Pearson’s Correlation
    • How to Find Pearson’s Correlation Coefficient?
  • Linear Correlation Coefficient
    • Cramer’s V Correlation
  • Correlation Coefficient Formula Problems

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What is Correlation?

Correlation is a statistical measure that describes the extent to which two variables are related to each other. It quantifies the direction and strength of the linear relationship between variables. Generally, a correlation between any two variables is of three types that include:...

Correlation Coefficient Definition

A statistical measure that quantifies the strength and direction of the linear relationship between two variables is called the Correlation coefficient. Generally, it is denoted by the symbol ‘r’ and ranges from -1 to 1....

What is Correlation Coefficient Formula?

Correlation coefficient procedure is used to determine how strong a relationship is between the data. The correlation coefficient procedure yields a value between 1 and -1. In which,...

Types of Correlation Coefficient Formula

Various types of Correlation Coeeficient are:...

Population Correlation Coefficient Formula

Population Correlation Coefficient Formula is added below:...

Pearson’s Correlation

It is the most common correlation in statistics. The full name is Pearson’s Product Moment Correlation in short PPMC. It displays the Linear relation between the two sets of data. Two letters are used to represent the Pearson correlation...

Linear Correlation Coefficient

The Pearson’s correlation coefficient is the linear correlation coefficient which returns the value between the -1 and +1. In this -1 indicates a strong negative correlation and +1 indicates a strong positive correlation. If it lies 0 then there is no correlation. This is also known as zero correlation....

Correlation Coefficient Formula Problems

Problem 1: Calculate the correlation coefficient from the following table:...

Summary – Correlation Coefficient Formula

The correlation coefficient serves as a statistical tool to assess the relationship between two variables in a dataset. Represented by the symbol rrr, its value ranges from -1 to 1, indicating the strength and direction of the linear association. A correlation of 1 signifies a perfect positive linear relationship, while -1 indicates a perfect negative linear relationship. A value of 0 implies no linear relationship. The formula to calculate the correlation coefficient involves the number of data points, the sum of products of corresponding values of the variables, and their sums and squares. This coefficient aids in understanding the extent to which one variable can predict the other, providing valuable insights in various fields including economics, social sciences, and engineering....

FAQs on Correlation Coefficient Formula

How to calculate a correlation coefficient?...

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