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"import plotly.express as px\n",
"import pandas as pd\n",
"from statsmodels.graphics.tsaplots import plot_pacf\n",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the data\n",
"fig = px.line(\n",
" data,\n",
" x=\"Month\",\n",
" y=\"#Passengers\",\n",
" labels=({\"#Passengers\": \"Passengers\", \"Month\": \"Date\"}),\n",
")\n",
"\n",
"fig.update_layout(\n",
" template=\"simple_white\",\n",
" font=dict(size=18),\n",
" title_text=\"Airline Passengers\",\n",
" width=650,\n",
" title_x=0.5,\n",
" height=400,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "8e5f69f9-f581-407b-badd-8df2d99e079a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot partial autocorrelation\n",
"plt.rc(\"figure\", figsize=(11, 5))\n",
"plot_pacf(data[\"#Passengers\"], method=\"ywm\")\n",
"plt.xlabel(\"Lags\", fontsize=18)\n",
"plt.ylabel(\"Correlation\", fontsize=18)\n",
"plt.xticks(fontsize=18)\n",
"plt.yticks(fontsize=18)\n",
"plt.title(\"Partial Autocorrelation Plot\", fontsize=20)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3c387295-85ed-46bf-93aa-23054c953023",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.12.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}