Correlation Coefficient Formula - Statistics
Learn the correlation coefficient formula with examples, step-by-step guide, and calculator tools. Measure the strength and direction of linear relationship between two variables
The correlation coefficient formula is a fundamental concept in statistics. Measure the strength and direction of linear relationship between two variables. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
Variables
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [1,2,3,4,5] → Perfect positive correlation: r = 1.0
Example 2
Example 2: 1
Frequently Asked Questions
What is the correlation coefficient formula?
Measure the strength and direction of linear relationship between two variables
How do I calculate correlation coefficient formula?
Use the formula: r = \frac{\sum (x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum (x_i - \bar{x})^2 \sum (y_i - \bar{y})^2}}. Follow the steps provided above.
What tools can help with correlation coefficient formula?
We provide online calculators: correlation-calculator