Linear correlation coefficient calculator is a statistical online tool find out the linear relationship between two variables. It reveals that, how strong the relation between the variables is? Linear correlation coefficient is also termed as Pearson's correlation coefficient. The value of this coefficient is lies between -1 and 1. If the value is closer to 1, it is given that the variables have strong positive relation. If it is closer to -1, a strong negative relation is there in between the variables. Zero value indicates, there is no relationship between the variables. The formula for finding the linear correlation coefficient is given below.

r = $\frac{n\sum_{i=1}^{n}x_{i}y_{i}-\sum_{i=1}^{n}x_{i}\sum_{i=1}^{n}y_{i}}{\sqrt{n\sum_{i=1}^{n}x_{i}^{2}-(\sum_{i=1}^{n}x_{i})^{2}}\sqrt{n\sum_{i=1}^{n}y_{i}^{2}-(\sum_{i=1}^{n}y_{i})^{2}}}$

Where n is the total number of observations
xi is the x values
yi is the y values

Steps for Calculating Linear Correlation Coefficient

The steps for finding linear correlation coefficient is

Step1: Find out the values of ∑xiyi , ∑xi and ∑yi

Step2: Calculate ∑xi2 and ∑yi2 from the given data

Step3:
Calculate the values of (∑xi)2 and (∑yi)2

Step4:
Substitute these values in the given equation.

r = $\frac{n\sum_{i=1}^{n}x_{i}y_{i}-\sum_{i=1}^{n}x_{i}\sum_{i=1}^{n}y_{i}}{\sqrt{n\sum_{i=1}^{n}x_{i}^{2}-(\sum_{i=1}^{n}x_{i})^{2}}\sqrt{n\sum_{i=1}^{n}y_{i}^{2}-(\sum_{i=1}^{n}y_{i})^{2}}}$

Pearson Correlation Calculator

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