帮我用C#写一个多元线性回归算法

好的，以下是一个简单的多元线性回归算法的C#代码示例:

using System;
using System.Linq;

namespace MultipleLinearRegression
{
    class Program
    {
        static void Main(string[] args)
        {
            // 输入数据
            double[,] x = { {1, 2, 3}, {2, 4, 5}, {3, 5, 6}, {4, 6, 7}, {5, 7, 8} };
            double[] y = { 2, 4, 5, 4, 5 };

            // 计算均值
            double[] xMeans = new double[x.GetLength(1)];
            for (int j = 0; j < x.GetLength(1); j++)
            {
                double sum = 0;
                for (int i = 0; i < x.GetLength(0); i++)
                {
                    sum += x[i, j];
                }
                xMeans[j] = sum / x.GetLength(0);
            }
            double yMean = y.Average();

            // 标准化数据
            double[,] xNormalized = new double[x.GetLength(0), x.GetLength(1)];
            double[] yNormalized = new double[y.Length];
            for (int i = 0; i < x.GetLength(0); i++)
            {
                for (int j = 0; j < x.GetLength(1); j++)
                {
                    xNormalized[i, j] = (x[i, j] - xMeans[j]) / x[i, j];
                }
                yNormalized[i] = y[i] - yMean;
            }

            // 计算回归系数
            double[] coefficients = new double[x.GetLength(1)];
            for (int j = 0; j < x.GetLength(1); j++)
            {
                double numerator = 0;
                double denominator = 0;
                for (int i = 0; i < x.GetLength(0); i++)
                {
                    numerator += xNormalized[i, j] * yNormalized[i];
                    denominator += Math.Pow(xNormalized[i, j], 2);
                }
                coefficients[j] = numerator / denominator;
            }

            // 计算截距
            double intercept = yMean;
            for (int j = 0; j < x.GetLength(1); j++)
            {
                intercept -= coefficients[j] * xMeans[j];
            }

            // 输出结果
            Console.WriteLine("回归系数: ");
            for (int j = 0; j < coefficients.Length; j++)
            {
                Console.WriteLine("x" + (j+1) + ": " + coefficients[j]);
            }
            Console.WriteLine("截距: " + intercept);
        }
    }
}

这段代码可以根据输入的x和y数据数组计算出多元线性回归方程的回归系数和截距，并输出结果。注意，这只是一个简单的示例，实际应用中需要注意数据预处理、异常处理等方面。