{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "ARIMA-Predicting_values-Ashna.ipynb",
"provenance": [],
"collapsed_sections": []
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
}
},
"cells": [
{
"cell_type": "code",
"metadata": {
"id": "9uE4iwSAjC5f"
},
"source": [
"#importing libraries \r\n",
"import numpy as np \r\n",
"import pandas as pd \r\n",
"import plotly.express as px\r\n",
"import plotly.graph_objects as go\r\n",
"import seaborn as sns\r\n",
"import matplotlib.pyplot as plt\r\n",
"%matplotlib inline\r\n"
],
"execution_count": 1,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "gM9XazkzAv_N"
},
"source": [
"import warnings\r\n",
"warnings.filterwarnings(\"ignore\")"
],
"execution_count": 2,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
},
"id": "Q38MxkYEIpOS",
"outputId": "fb5050f6-64c0-405d-8178-c2d63b47050d"
},
"source": [
"#Loading the Dataset\r\n",
"data = pd.read_csv('forecast.csv', sep=',')\r\n",
"data.head() "
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" YEAR | \n",
" Annual | \n",
" Jan-Feb | \n",
" Mar-May | \n",
" Jun-Sept | \n",
" Oct-Dec | \n",
" Annual_mavg | \n",
" Jan_mavg | \n",
" Mar_mavg | \n",
" Jun_mavg | \n",
" Oct_mavg | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1878 | \n",
" 26.775000 | \n",
" 23.90 | \n",
" 28.133333 | \n",
" 27.475 | \n",
" 26.400000 | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
"
\n",
" \n",
" 1 | \n",
" 1879 | \n",
" 26.041667 | \n",
" 24.05 | \n",
" 27.333333 | \n",
" 26.825 | \n",
" 25.033333 | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
"
\n",
" \n",
" 2 | \n",
" 1880 | \n",
" 26.608333 | \n",
" 23.45 | \n",
" 28.333333 | \n",
" 26.875 | \n",
" 26.633333 | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
"
\n",
" \n",
" 3 | \n",
" 1881 | \n",
" 26.883333 | \n",
" 25.15 | \n",
" 28.066667 | \n",
" 27.300 | \n",
" 26.300000 | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
"
\n",
" \n",
" 4 | \n",
" 1882 | \n",
" 26.300000 | \n",
" 24.45 | \n",
" 27.733333 | \n",
" 26.650 | \n",
" 25.633333 | \n",
" 26.521667 | \n",
" 24.2 | \n",
" 27.92 | \n",
" 27.025 | \n",
" 26.0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" YEAR Annual Jan-Feb Mar-May ... Jan_mavg Mar_mavg Jun_mavg Oct_mavg\n",
"0 1878 26.775000 23.90 28.133333 ... NaN NaN NaN NaN\n",
"1 1879 26.041667 24.05 27.333333 ... NaN NaN NaN NaN\n",
"2 1880 26.608333 23.45 28.333333 ... NaN NaN NaN NaN\n",
"3 1881 26.883333 25.15 28.066667 ... NaN NaN NaN NaN\n",
"4 1882 26.300000 24.45 27.733333 ... 24.2 27.92 27.025 26.0\n",
"\n",
"[5 rows x 11 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
},
"id": "MtkNeINjIYx2",
"outputId": "a715950b-5bad-4382-d1e8-c83a40182a39"
},
"source": [
"#dropping missing values in mavg columns'\r\n",
"data=data.dropna(how='any')\r\n",
"data.head()"
],
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" YEAR | \n",
" Annual | \n",
" Jan-Feb | \n",
" Mar-May | \n",
" Jun-Sept | \n",
" Oct-Dec | \n",
" Annual_mavg | \n",
" Jan_mavg | \n",
" Mar_mavg | \n",
" Jun_mavg | \n",
" Oct_mavg | \n",
"
\n",
" \n",
" \n",
" \n",
" 4 | \n",
" 1882 | \n",
" 26.300000 | \n",
" 24.45 | \n",
" 27.733333 | \n",
" 26.650 | \n",
" 25.633333 | \n",
" 26.521667 | \n",
" 24.20 | \n",
" 27.920000 | \n",
" 27.025 | \n",
" 26.000000 | \n",
"
\n",
" \n",
" 5 | \n",
" 1883 | \n",
" 26.100000 | \n",
" 23.95 | \n",
" 27.566667 | \n",
" 26.725 | \n",
" 25.233333 | \n",
" 26.386667 | \n",
" 24.21 | \n",
" 27.806667 | \n",
" 26.875 | \n",
" 25.766667 | \n",
"
\n",
" \n",
" 6 | \n",
" 1884 | \n",
" 26.075000 | \n",
" 22.85 | \n",
" 27.366667 | \n",
" 27.075 | \n",
" 25.600000 | \n",
" 26.393333 | \n",
" 23.97 | \n",
" 27.813333 | \n",
" 26.925 | \n",
" 25.880000 | \n",
"
\n",
" \n",
" 7 | \n",
" 1885 | \n",
" 26.275000 | \n",
" 22.80 | \n",
" 26.966667 | \n",
" 27.450 | \n",
" 26.333333 | \n",
" 26.326667 | \n",
" 23.84 | \n",
" 27.540000 | \n",
" 27.040 | \n",
" 25.820000 | \n",
"
\n",
" \n",
" 8 | \n",
" 1886 | \n",
" 26.416667 | \n",
" 23.30 | \n",
" 27.833333 | \n",
" 27.200 | \n",
" 26.033333 | \n",
" 26.233333 | \n",
" 23.47 | \n",
" 27.493333 | \n",
" 27.020 | \n",
" 25.766667 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" YEAR Annual Jan-Feb ... Mar_mavg Jun_mavg Oct_mavg\n",
"4 1882 26.300000 24.45 ... 27.920000 27.025 26.000000\n",
"5 1883 26.100000 23.95 ... 27.806667 26.875 25.766667\n",
"6 1884 26.075000 22.85 ... 27.813333 26.925 25.880000\n",
"7 1885 26.275000 22.80 ... 27.540000 27.040 25.820000\n",
"8 1886 26.416667 23.30 ... 27.493333 27.020 25.766667\n",
"\n",
"[5 rows x 11 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "cJypCj3uA4zt",
"outputId": "c7a1d141-57ab-4d9c-e239-c996137ffcc4"
},
"source": [
"data.shape"
],
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(138, 11)"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "dcMCyKTFJUba",
"outputId": "d70df7f8-cfad-472e-d3fc-8ea25a2ee92e"
},
"source": [
"data.isnull().sum()"
],
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"YEAR 0\n",
"Annual 0\n",
"Jan-Feb 0\n",
"Mar-May 0\n",
"Jun-Sept 0\n",
"Oct-Dec 0\n",
"Annual_mavg 0\n",
"Jan_mavg 0\n",
"Mar_mavg 0\n",
"Jun_mavg 0\n",
"Oct_mavg 0\n",
"dtype: int64"
]
},
"metadata": {
"tags": []
},
"execution_count": 6
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "UbKsTIlITBGE",
"outputId": "dae28361-bce9-4403-9810-a814ca355485"
},
"source": [
"data.columns.values"
],
"execution_count": 7,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array(['YEAR', 'Annual', 'Jan-Feb', 'Mar-May', 'Jun-Sept', 'Oct-Dec',\n",
" 'Annual_mavg', 'Jan_mavg', 'Mar_mavg', 'Jun_mavg', 'Oct_mavg'],\n",
" dtype=object)"
]
},
"metadata": {
"tags": []
},
"execution_count": 7
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"id": "aYlWknYsRys4",
"outputId": "f22e93a1-68af-46a1-a689-8972126bfefc"
},
"source": [
"line1=data['Annual_mavg'].plot()\r\n",
"line2=data['Jan_mavg'].plot()\r\n",
"line3=data['Mar_mavg'].plot()\r\n",
"line4=data['Jun_mavg'].plot()\r\n",
"line5=data['Oct_mavg'].plot()\r\n",
"plt.legend(['Annual','Jan-feb','March-may','June-sept','Oct-dec'])\r\n",
"\r\n"
],
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
]
},
"metadata": {
"tags": []
},
"execution_count": 8
},
{
"output_type": "display_data",
"data": {
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\n",
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