# Correlation Coefficient (R) Calculator

## Find Correlation coefficient between 2 variables using Pearson correlation formula (R). Generate Scatter Plot using the given set of data

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Correlation Calculator

Find Correlation Coefficient between the 2 variables. Enter your data as comma separated values or with spaces. You can also import csv or any data file with delimiters

## Correlation Statistics

Metric

Formula

Description

Result

Pearson Correlation Coefficient / R Correlation

Correlation Coefficient Formula:
r = Σ(xi - x̄)(yi - ȳ) / √(Σ(xi - x̄)2Σ(yi - ȳ)2 )

where, x̄ is the mean of x, ȳ is the mean of y and xi,yi are the individual values in sets of x and y

0.9424

Count of dataset 1

Count = n

where, n is the Number of items in dataset 1

18

Count of dataset 2

Count = n

where, n is the Number of items in dataset 2

18

Sample Std Deviation

S = Square root((1/ n - 1 ) * ∑ i( x i - x ¯ ) 2)

where, n is Number of observations in sample, xi is individual values in sample and x ¯ is Sample mean

6.546

## XY Scatter Plot

Data shows Strong Positive Correlation

## Correlation Analysis / Inference

Correlation Range

Description

1

100% Positive Correlation

>= 0.7 < 1

Strong Positive Correlation

>= 0.5 < 0.7

Moderate Positive correlation

>= 0.3 < 0.5

Low Positive Correlation

> 0 <= 0.3

No Correlation

0

No Correlation

< 0 >= -0.3

No Correlation

>= -0.3 < -0.5

Low Negative Correlation

>=-0.5 < -0.7

Moderate Negative Correlation

>= -0.7 < - 1

Strong Negative Correlation

-1

100% Negative Correlation

## Significance of R

• Significance of R is a measure of reliability. It is used to indicate if there is significant linear relationship between the variables and if it can be used for predictions

• If R is significant, it indicates that the coefficient value and Scatter plot can be used for prediction of outcomes.based on the significant linear relationship between 2 variables

• If R is NOT SIGNIFICANT, it means insignificant relationship between the variables and it cannot be used reliably to predict any outcome

• This is used as a pre-requisite test before applying the Pearson's coefficient formula and analyzing

## Frequently Asked Questions on Correlation Coefficient Calculator

• Correlation Coefficient is the strength and relationship between two variables and the direction of it (+ve or -ve).
Age vs Height have a positive correlation during the growing period.
Calories Consumed vs Weight have a positive correlation.
Relative Humidity and Temperature have a negative correlation

• R stands for Regression and is the correlation Coefficient between 2 sets of variables.
It is a quantitative measure representing linear correlation coefficient.
It indicates whether the 2 sets of data have positive, negative or no correlation.

• correlation coefficient r = Σ(xi - x̄)(yi - ȳ) / √(Σ(xi - x̄)2Σ(yi - ȳ)2 ).
where,where, x̄ is the mean of x, ȳ is the mean of y and xi,yi are the individual values in sample sets of x and y.
It ranges between -1 to 1

• 100% Positive Strong Correlation

• 100% Negative Strong Correlation

• No Correlation

• Significance of R is a measure of reliability.
It is used to indicate if there is significant linear relationship between the variables and if it can be used for predictions.
If R is significant, it indicates the trend line can be used for prediction of outcomes.based on the significant linear relationship between 2 variables
If R is NOT SIGNIFICANT, it means insignificant relationship between the variables and it cannot be used reliably to predict any outcome

• 1

• 1 (positive) and -1 (negative)

• Strong Positive Correlation

• Moderate Positive correlation

• No Correlation

• 1 (positive) and -1 (negative)

• Less than 0.5

• weak correlation

• strong correlation