pycharm实现最小二乘法
时间: 2023-12-25 07:29:52 浏览: 163
最小二乘法
在PyCharm中实现最小二乘法,可以按照以下步骤进行:
1. 导入所需的库和模块:
```python
import numpy as np
from scipy.optimize import leastsq
```
2. 定义最小二乘函数:
```python
def func(p, x):
a, b = p
return a * x + b
```
3. 定义误差函数:
```python
def error(p, x, y):
return func(p, x) - y
```
4. 输入数据:
```python
x = np.array([1, 2, 3, 4, 5])
y = np.array([2, 3, 4, 5, 6])
```
5. 初始参数估计:
```python
p0 = [1, 1]
```
6. 使用最小二乘法进行拟合:
```python
params = leastsq(error, p0, args=(x, y))
```
7. 输出拟合结果:
```python
a, b = params[0]
print("拟合参数:a =", a, "b =", b)
```
完整代码如下所示:
```python
import numpy as np
from scipy.optimize import leastsq
def func(p, x):
a, b = p
return a * x + b
def error(p, x, y):
return func(p, x) - y
x = np.array([1, 2, 3, 4, 5])
y = np.array([2, 3, 4, 5, 6])
p0 = [1, 1]
params = leastsq(error, p0, args=(x, y))
a, b = params[0]
print("拟合参数:a =", a, "b =", b)
```
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