Explanation of "curve_fitting.py" Script

Purpose:
This Python script uses curve fitting (non-linear regression) to estimate parameters for predicting landslide susceptibility based on provided data.

How to Use the Script:
1. Make sure Python is installed on your computer.
2. Install the necessary libraries by running the following command:
   pip install numpy scipy

3. To run the script, use the following command:
   python curve_fitting.py

Script Inputs:
- x1: Represents the class number of the conditioning parameter (such as slope or lithology class).
- x2: Total number of pixels in the study area.
- y: Total number of pixels within known landslide (training) areas.

Script Outputs:
- The optimized parameters (a, b, c, d) from the custom fitted equation.
- A comparison between the actual and predicted values, displayed directly in the console.

Custom Equation Used in the Script:
y = a * (x1^4) + b * ln(x2) + c * x1 + d * x1

Libraries Used:
- NumPy: For numerical operations.
- SciPy: For performing the curve-fitting operation.

Ensure your data is properly defined within the script to receive accurate results.