在Python中绘制GP 95%置信区间

import numpy as np
import matplotlib.pyplot as plt

# 生成随机数据
x = np.linspace(0, 10, 100)
y = np.sin(x) + np.random.normal(0, 0.1, 100)

# 计算置信区间
mean = np.mean(y)
std = np.std(y)
lower_bound = mean - 1.96 * std
upper_bound = mean + 1.96 * std

# 绘制置信区间
plt.plot(x, y, label='Data')
plt.fill_between(x, lower_bound, upper_bound, alpha=0.3, label='95% Confidence Interval')
plt.xlabel('X')
plt.ylabel('Y')
plt.legend()
plt.show()