Quadratic Regression Formula Calculator
This quadratic regression calculator determines the best-fit quadratic equation for your data points. Quadratic regression models relationships where change occurs at a varying rate, useful in fields from physics to finance across global industries.
Enter Your Data Points
Add your X and Y coordinate pairs below. You need at least 3 points for quadratic regression analysis.
Regression Results
The quadratic regression formula follows the standard form: y = ax² + bx + c
Coefficient a
Coefficient b
Coefficient c
R² (Goodness of Fit)
Regression Equation
y = 0.000x² + 0.000x + 0.000
Prediction Result
Enter an X value to get prediction.
Regression Curve Visualization
The graph below shows your data points and the calculated quadratic regression curve.
Understanding Quadratic Regression
Quadratic regression analysis models relationships using a parabolic curve. This statistical method applies globally across industries from economics to engineering.
- Captures acceleration or deceleration trends in data patterns
- Essential for forecasting in business and scientific research
- Used in quality control processes in manufacturing worldwide
- Applied in epidemiological modeling for disease spread analysis
- Utilized in climate change research and environmental studies
Quadratic Regression Applications
This mathematical approach has diverse applications across multiple sectors:
| Industry/Sector | Application | Global Standards |
|---|---|---|
| Economics & Finance | Modeling diminishing returns, cost functions | ISO, GAAP, IFRS compliant analysis |
| Engineering & Physics | Projectile motion, structural stress analysis | ASTM, IEEE, ISO standards |
| Healthcare & Epidemiology | Disease spread modeling, treatment response curves | WHO, CDC guidelines compliant |
| Environmental Science | Pollution dispersion, species population changes | EPA, UN Environment Programme standards |
For easy graphing of linear regression results, try the Linear Regression Graphing Calculator.