Regression and curve fitting using procedures such as Least-Square and Weighted Least-Square curve fitting.
Procedure
Enter X and Y Data Points
- Input the dataset in the text box using the format:
x1, y1 x2, y2 x3, y3 ... - Ensure that each line contains a valid pair of numerical values.
- Input the dataset in the text box using the format:
Enter Data Weights (Optional)
- Provide one weight value per line corresponding to each data point.
- If equal contribution is needed, assign weight = 1 for all points.
- This step enables Weighted Least-Square Regression.
Select Regression Type
- Choose one of the available curve fitting models from the dropdown menu:
- Linear Regression (y = mx + b)
- Polynomial Regression (2nd degree)
- Exponential Regression (y = a e^(b x))
- Choose one of the available curve fitting models from the dropdown menu:
Run Curve Fitting
- Click the Simulate button.
- The system will compute regression coefficients using the selected method.
View Results
- Observe the fitted curve displayed graphically in the results section.
- Numerical outputs such as slope, intercept, regression equation, and errors (if provided) will also appear.
Analyze Model Performance
- Evaluate how closely the fitted curve matches the observed data points.
- Modify the dataset, change regression type, or adjust weights to compare outcomes.
Optional Validation
- Test multiple regression models to identify which provides the best fit.
- Check residuals to assess accuracy and curve alignment.