Try to fit the sine function with Gaussian noise, but the amplitude and phase of the fitting results are very different. Can you help me?

import numpy as np
import pandas as pd
from prophet import Prophet
import matplotlib as mpl
import matplotlib.pyplot as plt

mpl.use('TkAgg')

# 生成含有高斯噪声的正弦信号
np.random.seed(123)
t = np.arange(0, 100, 1)
y = np.sin(t) + np.random.normal(0, 0.1, len(t))

# 将数据整理成Prophet模型所需的格式
df = pd.DataFrame({'ds': pd.to_datetime(t, unit='d'), 'y': y})

# 拟合Prophet模型
m = Prophet(daily_seasonality=True, yearly_seasonality=False, weekly_seasonality=True)
m.fit(df)

# 预测未来一段时间内的正弦信号
future = m.make_future_dataframe(periods=300, freq='d', include_history=True)
forecast = m.predict(future)

# 可视化预测结果和实际值
fig, ax = plt.subplots(figsize=(12, 6))
# m.plot(forecast, ax=ax)
ax.plot(y, 'r')
ax.plot(forecast['yhat'] - forecast['trend'], 'b')
ax.set_xlabel('Time')
ax.set_ylabel('Value')
plt.show()