{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"### Setting Up"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"#fetching\n",
"import psycopg2\n",
"from sqlalchemy import create_engine\n",
"\n",
"#wrangling\n",
"import numpy as np\n",
"import pandas as pd\n",
"import re\n",
"import copy\n",
"from collections import OrderedDict, defaultdict\n",
"\n",
"#plotting\n",
"import matplotlib.pyplot as plt#, mpld3\n",
"import seaborn as sns\n",
"\n",
"#storing\n",
"#import hdfs\n",
"import pickle\n",
"import json\n",
"\n",
"#other\n",
"import time\n",
"import statsmodels\n",
"\n",
"#ML\n",
"from sklearn.naive_bayes import GaussianNB\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.ensemble import RandomForestClassifier, AdaBoostClassifier, GradientBoostingClassifier\n",
"#from xgboost.sklearn import XGBClassifier\n",
"from sklearn.pipeline import Pipeline, FeatureUnion\n",
"from sklearn.model_selection import GridSearchCV, train_test_split, learning_curve\n",
"from sklearn.metrics import roc_curve, confusion_matrix, roc_auc_score, precision_recall_curve,classification_report, f1_score, precision_score, recall_score,accuracy_score, make_scorer\n",
"from sklearn.cross_validation import cross_val_score\n",
"from sklearn_pandas import DataFrameMapper\n",
"from sklearn.preprocessing import Imputer, StandardScaler\n",
"from sklearn.feature_selection import SelectPercentile, SelectKBest, f_regression, RFE, SelectFromModel, f_classif , chi2 \n",
"from sklearn.svm import SVC\n",
"from sklearn.decomposition import PCA"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### Load and Sample BTC Prices"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" date | \n",
" type | \n",
" open | \n",
" close | \n",
" volumeto | \n",
" volumefrom | \n",
" high | \n",
" low | \n",
"
\n",
" \n",
" \n",
" \n",
" 102 | \n",
" 2016-01-05 06:00:00 | \n",
" bitcoin | \n",
" 432.91 | \n",
" 432.82 | \n",
" 387391.95 | \n",
" 894.18 | \n",
" 433.31 | \n",
" 432.12 | \n",
"
\n",
" \n",
" 281 | \n",
" 2016-01-12 17:00:00 | \n",
" bitcoin | \n",
" 445.84 | \n",
" 445.97 | \n",
" 1185941.26 | \n",
" 2654.35 | \n",
" 446.80 | \n",
" 445.32 | \n",
"
\n",
" \n",
" 305 | \n",
" 2016-01-13 17:00:00 | \n",
" bitcoin | \n",
" 429.14 | \n",
" 429.07 | \n",
" 992036.83 | \n",
" 2312.55 | \n",
" 430.19 | \n",
" 428.49 | \n",
"
\n",
" \n",
" 802 | \n",
" 2016-02-03 10:00:00 | \n",
" bitcoin | \n",
" 374.87 | \n",
" 375.07 | \n",
" 794489.80 | \n",
" 2118.56 | \n",
" 375.82 | \n",
" 374.46 | \n",
"
\n",
" \n",
" 1034 | \n",
" 2016-02-13 02:00:00 | \n",
" bitcoin | \n",
" 386.30 | \n",
" 386.02 | \n",
" 1169135.58 | \n",
" 3010.16 | \n",
" 387.14 | \n",
" 385.62 | \n",
"
\n",
" \n",
"
\n",
"
"
]
},
"execution_count": 100,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"import sqlite3\n",
"conn=sqlite3.connect(\"warehouse.db\")\n",
"cur=conn.cursor()\n",
"\n",
"fact_hourly_price_extract=pd.read_sql('SELECT * FROM fact_hourly_price_extract where type=\"bitcoin\"',con=conn)\n",
"fact_hourly_price_extract.head()\n",
"\n",
"df_btc_sample = fact_hourly_price_extract.sample(n=100)\n",
"df_btc_sample = df_btc_sample.sort_values(by='date')\n",
"df_btc_sample.date = pd.to_datetime(df_btc_sample['date'], format='%Y-%m-%dT%H:%M:%S')\n",
"df_btc_sample.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### Load and Sample StockTwits Sentiments"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" timestamp | \n",
" compound | \n",
" pos | \n",
" neg | \n",
" count | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 2015-12-28 19:00:00 | \n",
" 1.0000 | \n",
" 1.000 | \n",
" 0.000 | \n",
" 1 | \n",
"
\n",
" \n",
" 29 | \n",
" 2015-12-30 00:00:00 | \n",
" 0.7983 | \n",
" 0.404 | \n",
" 0.000 | \n",
" 1 | \n",
"
\n",
" \n",
" 52 | \n",
" 2015-12-30 23:00:00 | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" 0 | \n",
"
\n",
" \n",
" 80 | \n",
" 2016-01-01 03:00:00 | \n",
" 0.7213 | \n",
" 0.366 | \n",
" 0.094 | \n",
" 1 | \n",
"
\n",
" \n",
" 195 | \n",
" 2016-01-05 22:00:00 | \n",
" 0.7213 | \n",
" 0.383 | \n",
" 0.099 | \n",
" 1 | \n",
"
\n",
" \n",
"
\n",
"
"
]
},
"execution_count": 101,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"df_stocktwits = pd.read_csv('stocktwits_hourly_sentiments_test.csv')\n",
"df_stocktwits.timestamp = pd.to_datetime(df_stocktwits['timestamp'], format='%Y-%m-%dT%H:%M:%S')\n",
"df_stocktwits_sample = df_stocktwits.sample(n=1000)\n",
"df_stocktwits_sample = df_stocktwits_sample.sort_values(by='timestamp')\n",
"df_stocktwits_sample.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### Scaling Both BTC and StockTwits series"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"from sklearn.preprocessing import scale\n",
"btc_dates = df_btc_sample[\"date\"]\n",
"btc_price = df_btc_sample[\"open\"]\n",
"\n",
"stocktwits_dates = df_stocktwits_sample[\"timestamp\"]\n",
"stocktwits_counts = df_stocktwits_sample[\"count\"]\n",
"\n",
"scaled_btc_price = scale(btc_price, axis=0, with_mean=True, with_std=True, copy=True)\n",
"scaled_stocktwits_counts = scale(stocktwits_counts, axis=0, with_mean=True, with_std=True, copy=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### BTC Price and BTC Message Rate"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,u'Normalized Values')"
]
},
"execution_count": 105,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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"
},
"execution_count": 105,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"plt.plot(btc_dates, scaled_btc_price, label='BTC Price', linewidth=2, color='r')\n",
"plt.plot(stocktwits_dates, scaled_stocktwits_counts, label='StockTwits Hourly Rate', linewidth=0.60)\n",
"plt.legend(loc='best')\n",
"plt.xlabel('Dates')\n",
"plt.ylabel('Normalized Values')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### BTC Price and Compound Sentiment"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"filtered_stocktwits_sample = df_stocktwits_sample[df_stocktwits_sample[\"pos\"].notnull()]\n",
"stocktwits_compound = filtered_stocktwits_sample[\"pos\"]\n",
"stocktwits_compound_dates = filtered_stocktwits_sample[\"timestamp\"]\n",
"\n",
"scaled_stocktwits_compound = scale(stocktwits_compound, axis=0, with_mean=True, with_std=True, copy=True)"
]
},
{
"cell_type": "code",
"execution_count": 111,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,u'Normalized Values')"
]
},
"execution_count": 111,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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"
},
"execution_count": 111,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"plt.plot(btc_dates, scaled_btc_price, label='BTC Price', color='r')\n",
"plt.plot(stocktwits_compound_dates, scaled_stocktwits_compound, label='StockTwits Hourly Sentiment Score', linewidth=0.75)\n",
"plt.legend(loc='best')\n",
"plt.xlabel('Dates')\n",
"plt.ylabel('Normalized Values')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### Raw Hourly Normalized Sentiment Score"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 71,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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"
},
"execution_count": 71,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"from scipy.interpolate import spline\n",
"\n",
"#ynew = spline(stocktwits_compound_dates,scaled_stocktwits_compound,xnew)\n",
"\n",
"plt.plot(stocktwits_compound_dates, scaled_stocktwits_compound, label='msg')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"##### See the correlation of the dip for the crash between 2017 August and 2018 January on stocktweets hourly positive sentiment and BTC price above"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### BTC Price and Web Search Trends"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" date | \n",
" type | \n",
" interest | \n",
"
\n",
" \n",
" \n",
" \n",
" 79 | \n",
" 2016-01-04 07:00:00 | \n",
" bitcoin | \n",
" 3 | \n",
"
\n",
" \n",
" 199 | \n",
" 2016-01-09 07:00:00 | \n",
" bitcoin | \n",
" 4 | \n",
"
\n",
" \n",
" 263 | \n",
" 2016-01-11 23:00:00 | \n",
" bitcoin | \n",
" 5 | \n",
"
\n",
" \n",
" 274 | \n",
" 2016-01-12 10:00:00 | \n",
" bitcoin | \n",
" 3 | \n",
"
\n",
" \n",
" 349 | \n",
" 2016-01-15 13:00:00 | \n",
" bitcoin | \n",
" 6 | \n",
"
\n",
" \n",
"
\n",
"
"
]
},
"execution_count": 47,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"import sqlite3\n",
"conn=sqlite3.connect(\"warehouse.db\")\n",
"cur=conn.cursor()\n",
"\n",
"fact_hourly_trend_extract=pd.read_sql('SELECT * FROM fact_hourly_trend_extract where type=\"bitcoin\"',con=conn)\n",
"\n",
"df_btc_trend = fact_hourly_trend_extract.sample(n=500)\n",
"df_btc_trend = df_btc_trend.sort_values(by='date')\n",
"df_btc_trend.date = pd.to_datetime(df_btc_trend['date'], format='%Y-%m-%dT%H:%M:%S')\n",
"df_btc_trend.head()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"trend = df_btc_trend[\"interest\"]\n",
"trend_dates = df_btc_trend[\"date\"]"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"scaled_trend = scale(trend, axis=0, with_mean=True, with_std=True, copy=True)"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,u'Normalized Values')"
]
},
"execution_count": 114,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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"
},
"execution_count": 114,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"plt.plot(btc_dates, scaled_btc_price, label='BTC Price')\n",
"plt.plot(trend_dates, scaled_trend, label='Google Trends for \"Bitcoin\"', linewidth=1)\n",
"plt.legend(loc='best')\n",
"plt.xlabel('Dates')\n",
"plt.ylabel('Normalized Values')"
]
},
{
"cell_type": "code",
"execution_count": 0,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2 (Ubuntu Linux)",
"language": "python",
"name": "python2-ubuntu"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.15rc1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}