Correlation Calculator

Calculate Pearson correlation coefficient between two variables

Correlation Calculator

Calculate Pearson correlation coefficient between two variables

Enter X and Y values separated by commas or spaces (e.g., 1, 2, 3, 4, 5)

Pearson Correlation Formula:

r = (nΣxy - ΣxΣy) / √[(nΣx² - (Σx)²)(nΣy² - (Σy)²)]

Interpretation Guide:

  • • 0.9 to 1.0: Very strong correlation
  • • 0.7 to 0.9: Strong correlation
  • • 0.5 to 0.7: Moderate correlation
  • • 0.3 to 0.5: Weak correlation
  • • 0.1 to 0.3: Very weak correlation
  • • -0.1 to 0.1: No correlation

About Correlation Calculator

Our Correlation Calculator helps you measure the strength and direction of the linear relationship between two variables using the Pearson correlation coefficient. This is one of the most widely used measures of correlation in statistics.

Pearson Correlation Coefficient:

The Pearson correlation coefficient (r) measures the linear correlation between two variables.

Formula: r = (nΣxy - ΣxΣy) / √[(nΣx² - (Σx)²)(nΣy² - (Σy)²)]

Interpretation:

0.9 to 1.0:Very strong positive correlation
0.7 to 0.9:Strong positive correlation
0.5 to 0.7:Moderate positive correlation
0.3 to 0.5:Weak positive correlation
0.1 to 0.3:Very weak positive correlation
-0.1 to 0.1:No correlation
-0.3 to -0.1:Very weak negative correlation
-0.5 to -0.3:Weak negative correlation
-0.7 to -0.5:Moderate negative correlation
-0.9 to -0.7:Strong negative correlation
-1.0 to -0.9:Very strong negative correlation

Applications:

  • Research Studies: Analyzing relationships between variables
  • Financial Analysis: Understanding market correlations
  • Medical Research: Studying disease risk factors
  • Psychology: Examining behavioral relationships
  • Quality Control: Monitoring process variables