最小二乘法y=ae∧bx的c语言代码
时间: 2023-10-08 15:11:02 浏览: 201
下面是使用最小二乘法拟合指数函数y=a*e^(bx)的C语言代码示例:
```
#include <stdio.h>
#include <math.h>
#define MAXN 100
int main()
{
int n, i;
double x[MAXN], y[MAXN], sumx = 0, sumy = 0, sumxy = 0, sumx2 = 0;
double b, a, e, S = 0;
printf("Enter the number of data points: ");
scanf("%d", &n);
printf("Enter the data points:\n");
for(i = 0; i < n; i++)
{
scanf("%lf %lf", &x[i], &y[i]);
sumx += x[i];
sumy += log(y[i]);
sumxy += x[i] * log(y[i]);
sumx2 += x[i] * x[i];
}
b = (n * sumxy - sumx * sumy) / (n * sumx2 - sumx * sumx);
a = exp((sumy - b * sumx) / n);
printf("The fitted exponential curve is: y = %lf * exp(%lf * x)\n", a, b);
for(i = 0; i < n; i++)
{
e = y[i] - a * exp(b * x[i]);
S += e * e;
}
printf("The sum of squared errors is: %lf\n", S);
return 0;
}
```
该程序先输入数据点的数量和具体数值,然后计算出拟合指数函数y=a*e^(bx)的参数a和b,并输出拟合曲线的方程。最后计算误差平方和并输出结果。
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