In statistics, the Pearson correlation coefficient (PCC, pronounced /ˈpɪərsən/) ― also known as Pearson’s r, the Pearson product-moment correlation coefficient (PPMCC), the bivariate correlation, or colloquially simply as the correlation coefficient ― is **a measure of linear correlation between two sets of data**.

Contents

- 1 What does Pearson’s r value mean?
- 2 What is Pearson’s r and what does it tell us?
- 3 What does an R of 1 mean?
- 4 What is a strong Pearson’s r?
- 5 Why is Pearson’s correlation used?
- 6 How do you interpret an R?
- 7 What does a correlation of means?
- 8 What is the minimum possible value of R?
- 9 How do you calculate R in statistics?
- 10 How do you read a correlation table?
- 11 What does R 2 tell you?
- 12 What is an example of zero correlation?
- 13 What does R mean in statistics?

## What does Pearson’s r value mean?

The Pearson correlation coefficient, r, can take a range of values from +1 to -1. A value of 0 indicates that there is no association between the two variables. A value greater than 0 indicates a positive association; that is, as the value of one variable increases, so does the value of the other variable.

## What is Pearson’s r and what does it tell us?

Pearson’s correlation coefficient is the test statistics that measures the statistical relationship, or association, between two continuous variables. It gives information about the magnitude of the association, or correlation, as well as the direction of the relationship.

## What does an R of 1 mean?

Correlation analysis measures how two variables are related. Thecorrelation coefficient (r) is a statistic that tells you the strengthand direction of that relationship. r = 1 means there is perfect positive correlation. r = -1 means there is a perfect negative correlation.

## What is a strong Pearson’s r?

The relationship between two variables is generally considered strong when their r value is larger than 0.7. The correlation r measures the strength of the linear relationship between two quantitative variables. Pearson r: • r is always a number between -1 and 1.

## Why is Pearson’s correlation used?

Pearson’s correlation is used when you are working with two quantitative variables in a population. The possible research hypotheses are that the variables will show a positive linear relationship, a negative linear relationship, or no linear relationship at all.

## How do you interpret an R?

The Pearson correlation coefficient or as it denoted by r is a measure of any linear trend between two variables. The value of r ranges between −1 and 1. When r = zero, it means that there is no linear association between the variables.

## What does a correlation of means?

A correlation is a statistical measurement of the relationship between two variables. Possible correlations range from +1 to –1. A correlation of +1 indicates a perfect positive correlation, meaning that both variables move in the same direction together.

## What is the minimum possible value of R?

Step-by-step explanation: The Pearson correlation coefficient, r, can take a range of values from +1 to -1.

## How do you calculate R in statistics?

Use the formula (z_{y})_{i} = (y_{i} – ȳ) / s _{y} and calculate a standardized value for each y_{i}. Add the products from the last step together. Divide the sum from the previous step by n – 1, where n is the total number of points in our set of paired data. The result of all of this is the correlation coefficient r.

## How do you read a correlation table?

How to Read a Correlation Matrix

- -1 indicates a perfectly negative linear correlation between two variables.
- 0 indicates no linear correlation between two variables.
- 1 indicates a perfectly positive linear correlation between two variables.

## What does R 2 tell you?

R-squared (R^{2}) is a statistical measure that represents the proportion of the variance for a dependent variable that’s explained by an independent variable or variables in a regression model.

## What is an example of zero correlation?

A zero correlation exists when there is no relationship between two variables. For example there is no relationship between the amount of tea drunk and level of intelligence.

## What does R mean in statistics?

The main result of a correlation is called the correlation coefficient (or “r”). It ranges from -1.0 to +1.0. The closer r is to +1 or -1, the more closely the two variables are related. If r is close to 0, it means there is no relationship between the variables.