94 lines
83 KiB
Plaintext
94 lines
83 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": true,
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"ExecuteTime": {
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"start_time": "2023-07-14T14:39:14.567580Z",
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"end_time": "2023-07-14T14:39:14.783967Z"
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": "<Figure size 640x480 with 1 Axes>",
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"image/png": 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"
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": "<Figure size 640x480 with 1 Axes>",
|
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"image/png": 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"
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"-0.16729700365714803\n",
|
|
"-0.03420751642049765\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"\"\"\"\n",
|
|
"根据苹果股价分时数据.进行分时价格预测。\n",
|
|
"目标列是Close。\n",
|
|
"在建立模型之前,要考虑怎么预处理数据,可视化原始数据,我需要大家可视化出来两张数据,第一个是实时成交价格可视化,第二个是价格变化率的可视化\n",
|
|
"\"\"\"\n",
|
|
"import matplotlib\n",
|
|
"import pandas as pd\n",
|
|
"from matplotlib import pyplot as plt\n",
|
|
"plt.rcParams['font.sans-serif']='SimHei'#设置中文字符的正常显示\n",
|
|
"plt.rcParams['axes.unicode_minus'] = False\n",
|
|
"\n",
|
|
"## 设置画图风格为R的ggplot风\n",
|
|
"matplotlib.style.use('ggplot')\n",
|
|
"data_trading_hour = pd.read_csv(\"数据/aapl-trading-hour.csv\")\n",
|
|
"data_trading_hour[\"Close\"].plot(linewidth=0.3,color='b')\n",
|
|
"plt.title('股价每秒收盘价变化趋势')\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"\"\"\"\n",
|
|
"收盘价变化率\n",
|
|
"\"\"\"\n",
|
|
"change_rate = data_trading_hour[\"Close\"].diff()/data_trading_hour[\"Close\"]\n",
|
|
"change_rate.plot(linewidth=0.3,color='b')\n",
|
|
"plt.title('秒级收盘价变化率')\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"## 看看前一秒变化率和后一秒变化率之间的关系。\n",
|
|
"print(change_rate.shift(1).corr(change_rate))\n",
|
|
"print(change_rate.shift(2).corr(change_rate))"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 2
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython2",
|
|
"version": "2.7.6"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 0
|
|
}
|