matlab回归分析指数
时间: 2023-11-21 07:55:53 浏览: 147
根据提供的引用内容,我理解您的问题是如何在MATLAB中进行指数回归分析。下面是一个简单的例子来演示如何在MATLAB中进行指数回归分析:
假设我们有以下数据:
```matlab
x = [1 2 3 4 5];
y = [10 20 50 80 130];
```
我们可以使用MATLAB中的polyfit函数来进行指数回归分析。具体步骤如下:
1. 将x和y取对数,得到新的变量xlog和ylog:
```matlab
xlog = log(x);
ylog = log(y);
```
2. 使用polyfit函数进行一次多项式拟合,得到拟合系数p:
```matlab
p = polyfit(xlog, ylog, 1);
```
3. 根据拟合系数p,计算出指数回归方程:
```matlab
a = exp(p(2));
b = p(1);
yfit = a * exp(b * x);
```
其中,a和b分别为指数回归方程中的系数,yfit为拟合后的y值。
4. 绘制原始数据和拟合曲线:
```matlab
plot(x, y, 'o', x, yfit, '-')
legend('原始数据', '拟合曲线')
```
完整的MATLAB代码如下:
```matlab
x = [1 2 3 4 5];
y = [10 20 50 80 130];
xlog = log(x);
ylog = log(y);
p = polyfit(xlog, ylog, 1);
a = exp(p(2));
b = p(1);
yfit = a * exp(b * x);
plot(x, y, 'o', x, yfit, '-')
legend('原始数据', '拟合曲线')
```
运行上述代码,将得到一张包含原始数据和拟合曲线的图形。
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