{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# This project analyzes USA unemployment rate from 1948 to 2016 \n", "--by Lu Tang" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 1. Step by step plotting line chart for time series data " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>DATE</th>\n", " <th>VALUE</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>1948-01-01</td>\n", " <td>3.4</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>1948-02-01</td>\n", " <td>3.8</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>1948-03-01</td>\n", " <td>4.0</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>1948-04-01</td>\n", " <td>3.9</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>1948-05-01</td>\n", " <td>3.5</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " DATE VALUE\n", "0 1948-01-01 3.4\n", "1 1948-02-01 3.8\n", "2 1948-03-01 4.0\n", "3 1948-04-01 3.9\n", "4 1948-05-01 3.5" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# import library\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# load data\n", "unrate = pd.read_csv('unrate.csv')\n", "# view data\n", "unrate.head()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>DATE</th>\n", " <th>VALUE</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>819</th>\n", " <td>2016-04-01</td>\n", " <td>5.0</td>\n", " </tr>\n", " <tr>\n", " <th>820</th>\n", " <td>2016-05-01</td>\n", " <td>4.7</td>\n", " </tr>\n", " <tr>\n", " <th>821</th>\n", " <td>2016-06-01</td>\n", " <td>4.9</td>\n", " </tr>\n", " <tr>\n", " <th>822</th>\n", " <td>2016-07-01</td>\n", " <td>4.9</td>\n", " </tr>\n", " <tr>\n", " <th>823</th>\n", " <td>2016-08-01</td>\n", " <td>4.9</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " DATE VALUE\n", "819 2016-04-01 5.0\n", "820 2016-05-01 4.7\n", "821 2016-06-01 4.9\n", "822 2016-07-01 4.9\n", "823 2016-08-01 4.9" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# view last 5 rows of the data\n", "unrate.tail()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "<class 'pandas.core.frame.DataFrame'>\n", "RangeIndex: 824 entries, 0 to 823\n", "Data columns (total 2 columns):\n", "DATE 824 non-null object\n", "VALUE 824 non-null float64\n", "dtypes: float64(1), object(1)\n", "memory usage: 13.0+ KB\n" ] } ], "source": [ "# Check information \n", "unrate.info()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "<class 'pandas.core.frame.DataFrame'>\n", "RangeIndex: 824 entries, 0 to 823\n", "Data columns (total 2 columns):\n", "DATE 824 non-null datetime64[ns]\n", "VALUE 824 non-null float64\n", "dtypes: datetime64[ns](1), float64(1)\n", "memory usage: 13.0 KB\n" ] } ], "source": [ "# Convert Object to datetime\n", "unrate['DATE']=pd.to_datetime(unrate['DATE'])\n", "unrate.info()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>DATE</th>\n", " <th>VALUE</th>\n", " <th>MONTH</th>\n", " <th>YEAR</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>814</th>\n", " <td>2015-11-01</td>\n", " <td>5.0</td>\n", " <td>11</td>\n", " <td>2015</td>\n", " </tr>\n", " <tr>\n", " <th>815</th>\n", " <td>2015-12-01</td>\n", " <td>5.0</td>\n", " <td>12</td>\n", " <td>2015</td>\n", " </tr>\n", " <tr>\n", " <th>816</th>\n", " <td>2016-01-01</td>\n", " <td>4.9</td>\n", " <td>1</td>\n", " <td>2016</td>\n", " </tr>\n", " <tr>\n", " <th>817</th>\n", " <td>2016-02-01</td>\n", " <td>4.9</td>\n", " <td>2</td>\n", " <td>2016</td>\n", " </tr>\n", " <tr>\n", " <th>818</th>\n", " <td>2016-03-01</td>\n", " <td>5.0</td>\n", " <td>3</td>\n", " <td>2016</td>\n", " </tr>\n", " <tr>\n", " <th>819</th>\n", " <td>2016-04-01</td>\n", " <td>5.0</td>\n", " <td>4</td>\n", " <td>2016</td>\n", " </tr>\n", " <tr>\n", " <th>820</th>\n", " <td>2016-05-01</td>\n", " <td>4.7</td>\n", " <td>5</td>\n", " <td>2016</td>\n", " </tr>\n", " <tr>\n", " <th>821</th>\n", " <td>2016-06-01</td>\n", " <td>4.9</td>\n", " <td>6</td>\n", " <td>2016</td>\n", " </tr>\n", " <tr>\n", " <th>822</th>\n", " <td>2016-07-01</td>\n", " <td>4.9</td>\n", " <td>7</td>\n", " <td>2016</td>\n", " </tr>\n", " <tr>\n", " <th>823</th>\n", " <td>2016-08-01</td>\n", " <td>4.9</td>\n", " <td>8</td>\n", " <td>2016</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " DATE VALUE MONTH YEAR\n", "814 2015-11-01 5.0 11 2015\n", "815 2015-12-01 5.0 12 2015\n", "816 2016-01-01 4.9 1 2016\n", "817 2016-02-01 4.9 2 2016\n", "818 2016-03-01 5.0 3 2016\n", "819 2016-04-01 5.0 4 2016\n", "820 2016-05-01 4.7 5 2016\n", "821 2016-06-01 4.9 6 2016\n", "822 2016-07-01 4.9 7 2016\n", "823 2016-08-01 4.9 8 2016" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a new column for Month using Pandas datime method\n", "unrate['MONTH'] = unrate['DATE'].dt.month\n", "unrate['YEAR'] = unrate['DATE'].dt.year\n", "# view the table\n", "unrate.tail(10)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10,5))\n", "# use a for loop to plot line charts from 2011 to 2015\n", "colors = ['red', 'blue', 'green', 'orange']\n", "for i in range(4):\n", " start_index = i*12\n", " end_index = (i+1)*12\n", " subset = unrate[start_index:end_index]\n", " label = str(2012 + i) # add labels\n", " plt.plot(subset['MONTH'], subset['VALUE'], c=colors[i], label=label)\n", " \n", "# since 2016 only has data to August, we will plot separately \n", "plt.plot(unrate[816:]['MONTH'], unrate[816:]['VALUE'], c='purple', label='2016')\n", "\n", "plt.xlabel('Month')\n", "plt.ylabel('Unemployment Rate, Percent')\n", "plt.title('Monthly Unemployment Trends, 2012-2016')\n", "plt.legend(loc='upper left')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# save the chart\n", "fig.savefig('Monthly Unemployment Trends, 2012-2016.png')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "YEAR\n", "1948 3.750000\n", "1949 6.050000\n", "1950 5.208333\n", "1951 3.283333\n", "1952 3.025000\n", "Name: VALUE, dtype: float64" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# use groupby function to find average unemployment rate for each year\n", "unrate_year=unrate.groupby('YEAR').mean()['VALUE']\n", "unrate_year.head()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Unemployment Rate, Percent')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot a line chart using pandas' visualization tool \n", "unrate_year.plot(figsize=(10,5),title='Annually Average Unemployment Rate, 1948-2016')\n", "plt.ylabel('Unemployment Rate, Percent')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part 2. Analyzing unemployment trend suing moving average method" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>DATE</th>\n", " <th>VALUE</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>1948-01-01</td>\n", " <td>3.4</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>1948-02-01</td>\n", " <td>3.8</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>1948-03-01</td>\n", " <td>4.0</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>1948-04-01</td>\n", " <td>3.9</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>1948-05-01</td>\n", " <td>3.5</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " DATE VALUE\n", "0 1948-01-01 3.4\n", "1 1948-02-01 3.8\n", "2 1948-03-01 4.0\n", "3 1948-04-01 3.9\n", "4 1948-05-01 3.5" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# use seaborn and set different style\n", "import seaborn as sns\n", "sns.set(style='darkgrid', context='talk', palette='Dark2')\n", "# loading data again\n", "df = pd.read_csv('unrate.csv')\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>VALUE</th>\n", " <th>short_rolling</th>\n", " <th>long_rolling</th>\n", " </tr>\n", " <tr>\n", " <th>DATE</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>1948-01-01</th>\n", " <td>3.4</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-02-01</th>\n", " <td>3.8</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-03-01</th>\n", " <td>4.0</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-04-01</th>\n", " <td>3.9</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-05-01</th>\n", " <td>3.5</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-06-01</th>\n", " <td>3.6</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-07-01</th>\n", " <td>3.6</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-08-01</th>\n", " <td>3.9</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-09-01</th>\n", " <td>3.8</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-10-01</th>\n", " <td>3.7</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-11-01</th>\n", " <td>3.8</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1948-12-01</th>\n", " <td>4.0</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1949-01-01</th>\n", " <td>4.3</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1949-02-01</th>\n", " <td>4.7</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1949-03-01</th>\n", " <td>5.0</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1949-04-01</th>\n", " <td>5.3</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1949-05-01</th>\n", " <td>6.1</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1949-06-01</th>\n", " <td>6.2</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1949-07-01</th>\n", " <td>6.7</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1949-08-01</th>\n", " <td>6.8</td>\n", " <td>4.505</td>\n", " <td>NaN</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " VALUE short_rolling long_rolling\n", "DATE \n", "1948-01-01 3.4 NaN NaN\n", "1948-02-01 3.8 NaN NaN\n", "1948-03-01 4.0 NaN NaN\n", "1948-04-01 3.9 NaN NaN\n", "1948-05-01 3.5 NaN NaN\n", "1948-06-01 3.6 NaN NaN\n", "1948-07-01 3.6 NaN NaN\n", "1948-08-01 3.9 NaN NaN\n", "1948-09-01 3.8 NaN NaN\n", "1948-10-01 3.7 NaN NaN\n", "1948-11-01 3.8 NaN NaN\n", "1948-12-01 4.0 NaN NaN\n", "1949-01-01 4.3 NaN NaN\n", "1949-02-01 4.7 NaN NaN\n", "1949-03-01 5.0 NaN NaN\n", "1949-04-01 5.3 NaN NaN\n", "1949-05-01 6.1 NaN NaN\n", "1949-06-01 6.2 NaN NaN\n", "1949-07-01 6.7 NaN NaN\n", "1949-08-01 6.8 4.505 NaN" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Convert to datetime\n", "df['DATE']=pd.to_datetime(df['DATE'])\n", "# Set 'DATE' as index\n", "df.index = df['DATE']\n", "# drop the DATE columns\n", "df.drop('DATE', axis=1, inplace=True)\n", "\n", "# Calculating the short-window simple moving average\n", "df['short_rolling'] = df['VALUE'].rolling(window=20).mean()\n", "\n", "# Calculating the long-window simple moving average\n", "df['long_rolling'] = df['VALUE'].rolling(100).mean()\n", "\n", "df.head(20)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>VALUE</th>\n", " <th>short_rolling</th>\n", " <th>long_rolling</th>\n", " </tr>\n", " <tr>\n", " <th>DATE</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2016-04-01</th>\n", " <td>5.0</td>\n", " <td>5.315</td>\n", " <td>7.461</td>\n", " </tr>\n", " <tr>\n", " <th>2016-05-01</th>\n", " <td>4.7</td>\n", " <td>5.250</td>\n", " <td>7.458</td>\n", " </tr>\n", " <tr>\n", " <th>2016-06-01</th>\n", " <td>4.9</td>\n", " <td>5.210</td>\n", " <td>7.458</td>\n", " </tr>\n", " <tr>\n", " <th>2016-07-01</th>\n", " <td>4.9</td>\n", " <td>5.165</td>\n", " <td>7.456</td>\n", " </tr>\n", " <tr>\n", " <th>2016-08-01</th>\n", " <td>4.9</td>\n", " <td>5.130</td>\n", " <td>7.455</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " VALUE short_rolling long_rolling\n", "DATE \n", "2016-04-01 5.0 5.315 7.461\n", "2016-05-01 4.7 5.250 7.458\n", "2016-06-01 4.9 5.210 7.458\n", "2016-07-01 4.9 5.165 7.456\n", "2016-08-01 4.9 5.130 7.455" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# view last 5 rows\n", "df.tail()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'unemployment_rate')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting line charts to compare the orignal data with the moving average data\n", "fig, ax = plt.subplots(figsize=(10,5))\n", "\n", "ax.plot(df['VALUE'], label='VALUE')\n", "ax.plot(df['short_rolling'], label = 'short_rolling')\n", "ax.plot(df['long_rolling'], label = 'long_rolling')\n", "\n", "plt.title('USA Unemployment Trends, 1948-2016')\n", "ax.legend(loc='best')\n", "ax.set_ylabel('unemployment_rate')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">- As we can see short rolling line is very similar with original data, long rolling line is smoothier. \n", ">- We can also observe that the unemployment rate is higher in recent years, but in general, it shows high fluctuation " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Calculating the moving average with window=50\n", "df['mid_rolling'] = df['VALUE'].rolling(50).mean()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'unemployment_rate')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting line chart for the moving average with window=50, mid_rolling\n", "fig, ax = plt.subplots(figsize=(10,5))\n", "ax.plot(df['mid_rolling'])\n", "plt.title('USA Unemployment Trends, 1948-2016')\n", "ax.set_ylabel('unemployment_rate')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# save the chart\n", "fig.savefig('USA Unemployment Trend.png')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 2 }