Regression and curve fitting using procedures such as Least-Square and Weighted Least-Square curve fitting.

Procedure

  1. 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.
  2. 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.
  3. 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))
  4. Run Curve Fitting

    • Click the Simulate button.
    • The system will compute regression coefficients using the selected method.
  5. 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.
  6. 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.
  7. Optional Validation

    • Test multiple regression models to identify which provides the best fit.
    • Check residuals to assess accuracy and curve alignment.