![\"Open](\"https://colab.research.google.com/assets/colab-badge.svg\"){kind=icon}
"
]
},
{
"cell_type": "code",
"source": [
"!pip install statsmodels"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "J_Ems9outXnZ",
"outputId": "a66e9b9c-fd04-4b8e-ce67-781d630a8893"
},
"execution_count": 22,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Requirement already satisfied: statsmodels in /usr/local/lib/python3.12/dist-packages (0.14.6)\n",
"Requirement already satisfied: numpy<3,>=1.22.3 in /usr/local/lib/python3.12/dist-packages (from statsmodels) (2.0.2)\n",
"Requirement already satisfied: scipy!=1.9.2,>=1.8 in /usr/local/lib/python3.12/dist-packages (from statsmodels) (1.16.3)\n",
"Requirement already satisfied: pandas!=2.1.0,>=1.4 in /usr/local/lib/python3.12/dist-packages (from statsmodels) (2.2.2)\n",
"Requirement already satisfied: patsy>=0.5.6 in /usr/local/lib/python3.12/dist-packages (from statsmodels) (1.0.2)\n",
"Requirement already satisfied: packaging>=21.3 in /usr/local/lib/python3.12/dist-packages (from statsmodels) (26.0)\n",
"Requirement already satisfied: python-dateutil>=2.8.2 in /usr/local/lib/python3.12/dist-packages (from pandas!=2.1.0,>=1.4->statsmodels) (2.9.0.post0)\n",
"Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.12/dist-packages (from pandas!=2.1.0,>=1.4->statsmodels) (2025.2)\n",
"Requirement already satisfied: tzdata>=2022.7 in /usr/local/lib/python3.12/dist-packages (from pandas!=2.1.0,>=1.4->statsmodels) (2026.1)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.12/dist-packages (from python-dateutil>=2.8.2->pandas!=2.1.0,>=1.4->statsmodels) (1.17.0)\n"
]
}
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "G1_aD6lnbnBG",
"outputId": "04f92f42-3e99-4c98-c9c3-3d03d3a9f2c7"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"File ‘airline-passengers.csv’ already there; not retrieving.\n",
"\n"
]
}
],
"source": [
"!wget -nc https://raw.githubusercontent.com/jbrownlee/Datasets/master/airline-passengers.csv"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"id": "1lYc-EKgaKuH"
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"source": [
"df = pd.read_csv('airline-passengers.csv', index_col='Month', parse_dates=True)"
],
"metadata": {
"id": "GnKBSPgsuLO2"
},
"execution_count": 25,
"outputs": []
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 238
},
"id": "etZP8BQnaOqZ",
"outputId": "9d7c8a01-d104-40b8-bcc2-99d239f2d64f"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" Passengers\n",
"Month \n",
"1949-01-01 112\n",
"1949-02-01 118\n",
"1949-03-01 132\n",
"1949-04-01 129\n",
"1949-05-01 121"
],
"text/html": [
"\n",
" | \n", " | Passengers | \n", "
|---|---|
| Month | \n", "\n", " |
| 1949-01-01 | \n", "112 | \n", "
| 1949-02-01 | \n", "118 | \n", "
| 1949-03-01 | \n", "132 | \n", "
| 1949-04-01 | \n", "129 | \n", "
| 1949-05-01 | \n", "121 | \n", "
statsmodels.tsa.statespace.mlemodel.PredictionResultsWrapper
def __init__(results)
Class which wraps a statsmodels estimation Results class and steps in to\n", "reattach metadata to results (if available)\n", " \n", "
| \n", " | lower Passengers | \n", "upper Passengers | \n", "
|---|---|---|
| 1960-01-01 | \n", "377.445641 | \n", "489.458213 | \n", "
| 1960-02-01 | \n", "322.373309 | \n", "513.595133 | \n", "
| 1960-03-01 | \n", "310.322096 | \n", "542.464182 | \n", "
| 1960-04-01 | \n", "285.148421 | \n", "558.494950 | \n", "
| 1960-05-01 | \n", "271.334994 | \n", "577.278859 | \n", "
| 1960-06-01 | \n", "254.484358 | \n", "591.427325 | \n", "
| 1960-07-01 | \n", "241.421624 | \n", "605.959076 | \n", "
| 1960-08-01 | \n", "227.999952 | \n", "618.582126 | \n", "
| 1960-09-01 | \n", "216.112039 | \n", "630.904204 | \n", "
| 1960-10-01 | \n", "204.505257 | \n", "642.274956 | \n", "
| 1960-11-01 | \n", "193.681432 | \n", "653.227098 | \n", "
| 1960-12-01 | \n", "183.237565 | \n", "663.601205 | \n", "