用C#代码 以指数函数拟合的方式 拟合x:{0,20,40,80,60} y:{0.002,833,1453,1896,2325} 并画出拟合曲线

以下是用C#代码拟合指数函数并画出拟合曲线的示例代码：

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms.DataVisualization.Charting;

namespace ExponentialFitting
{
    class Program
    {
        static void Main(string[] args)
        {
            // Define the data points to be fitted
            double[] x = { 0, 20, 40, 80, 60 };
            double[] y = { 0.002, 833, 1453, 1896, 2325 };

            // Define the function to be fitted
            Func<double, double> f = t => Math.Exp(a * t + b);

            // Define the error function to be minimized
            Func<double[], double> errorFunc = p =>
            {
                double sum = 0;
                for (int i = 0; i < x.Length; i++)
                {
                    double diff = y[i] - f(x[i]);
                    sum += diff * diff;
                }
                return sum;
            };

            // Find the parameters that minimize the error function
            var solver = new Accord.Math.Optimization.LevenbergMarquardt(errorFunc)
            {
                MaxIterations = 1000,
                Tolerance = 1e-8
            };
            double[] initialGuess = { 0, 0 };
            double[] solution = solver.Solve(initialGuess);

            // Print the fitted parameters
            double a = solution[0];
            double b = solution[1];
            Console.WriteLine("a = {0}, b = {1}", a, b);

            // Plot the fitted curve
            var chart = new Chart();
            chart.ChartAreas.Add(new ChartArea());
            var series = new Series();
            series.ChartType = SeriesChartType.Line;
            series.BorderWidth = 2;
            chart.Series.Add(series);
            for (double t = 0; t <= 80; t += 0.1)
            {
                double yFit = f(t);
                series.Points.AddXY(t, yFit);
            }
            chart.Series.Add(new Series());
            chart.Series[1].Points.DataBindXY(x, y);
            chart.Series[1].ChartType = SeriesChartType.Point;
            chart.Series[1].MarkerSize = 10;
            chart.Series[1].MarkerStyle = MarkerStyle.Circle;
            chart.Series[1].Color = System.Drawing.Color.Red;
            chart.SaveImage("ExponentialFitting.png", ChartImageFormat.Png);
        }
    }
}

运行结果：