car-sales-time-series.ipynb

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    "# This Python 3 environment comes with many helpful analytics libraries installed\n",
    "# It is defined by the kaggle/python Docker image: https://github.com/kaggle/docker-python\n",
    "# For example, here's several helpful packages to load\n",
    "\n",
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n",
    "\n",
    "# Input data files are available in the read-only \"../input/\" directory\n",
    "# For example, running this (by clicking run or pressing Shift+Enter) will list all files under the input directory\n",
    "\n",
    "import os\n",
    "for dirname, _, filenames in os.walk('/kaggle/input'):\n",
    "    for filename in filenames:\n",
    "        print(os.path.join(dirname, filename))\n",
    "\n",
    "# You can write up to 20GB to the current directory (/kaggle/working/) that gets preserved as output when you create a version using \"Save & Run All\" \n",
    "# You can also write temporary files to /kaggle/temp/, but they won't be saved outside of the current session"
   ]
  },
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   "outputs": [],
   "source": [
    "data_url = 'https://raw.githubusercontent.com/jbrownlee/Datasets/master/monthly-car-sales.csv'"
   ]
  },
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     "text": [
      "Requirement already satisfied: pip in /opt/conda/lib/python3.10/site-packages (23.1.2)\r\n",
      "Collecting pip\r\n",
      "  Downloading pip-23.2.1-py3-none-any.whl (2.1 MB)\r\n",
      "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m2.1/2.1 MB\u001b[0m \u001b[31m28.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\r\n",
      "\u001b[?25hRequirement already satisfied: setuptools in /opt/conda/lib/python3.10/site-packages (59.8.0)\r\n",
      "Collecting setuptools\r\n",
      "  Downloading setuptools-68.1.2-py3-none-any.whl (805 kB)\r\n",
      "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m805.1/805.1 kB\u001b[0m \u001b[31m32.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\r\n",
      "\u001b[?25hInstalling collected packages: setuptools, pip\r\n",
      "  Attempting uninstall: setuptools\r\n",
      "    Found existing installation: setuptools 59.8.0\r\n",
      "    Uninstalling setuptools-59.8.0:\r\n",
      "      Successfully uninstalled setuptools-59.8.0\r\n",
      "  Attempting uninstall: pip\r\n",
      "    Found existing installation: pip 23.1.2\r\n",
      "    Uninstalling pip-23.1.2:\r\n",
      "      Successfully uninstalled pip-23.1.2\r\n",
      "\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\r\n",
      "opentelemetry-api 1.18.0 requires importlib-metadata~=6.0.0, but you have importlib-metadata 6.7.0 which is incompatible.\r\n",
      "pymc3 3.11.5 requires numpy<1.22.2,>=1.15.0, but you have numpy 1.23.5 which is incompatible.\r\n",
      "pymc3 3.11.5 requires scipy<1.8.0,>=1.7.3, but you have scipy 1.11.1 which is incompatible.\u001b[0m\u001b[31m\r\n",
      "\u001b[0mSuccessfully installed pip-23.2.1 setuptools-68.1.2\r\n"
     ]
    }
   ],
   "source": [
    "!pip install --upgrade pip setuptools"
   ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: prophet in /opt/conda/lib/python3.10/site-packages (1.1.1)\r\n",
      "Requirement already satisfied: cmdstanpy>=1.0.4 in /opt/conda/lib/python3.10/site-packages (from prophet) (1.1.0)\r\n",
      "Requirement already satisfied: numpy>=1.15.4 in /opt/conda/lib/python3.10/site-packages (from prophet) (1.23.5)\r\n",
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      "Requirement already satisfied: setuptools>=42 in /opt/conda/lib/python3.10/site-packages (from prophet) (68.1.2)\r\n",
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      "Requirement already satisfied: python-dateutil>=2.8.0 in /opt/conda/lib/python3.10/site-packages (from prophet) (2.8.2)\r\n",
      "Requirement already satisfied: tqdm>=4.36.1 in /opt/conda/lib/python3.10/site-packages (from prophet) (4.65.0)\r\n",
      "Requirement already satisfied: wheel>=0.37.0 in /opt/conda/lib/python3.10/site-packages (from prophet) (0.40.0)\r\n",
      "Requirement already satisfied: pymeeus<=1,>=0.3.13 in /opt/conda/lib/python3.10/site-packages (from convertdate>=2.1.2->prophet) (0.5.12)\r\n",
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      "Requirement already satisfied: ephem>=3.7.5.3 in /opt/conda/lib/python3.10/site-packages (from LunarCalendar>=0.0.9->prophet) (4.1.4)\r\n",
      "Requirement already satisfied: pytz in /opt/conda/lib/python3.10/site-packages (from LunarCalendar>=0.0.9->prophet) (2023.3)\r\n",
      "Requirement already satisfied: contourpy>=1.0.1 in /opt/conda/lib/python3.10/site-packages (from matplotlib>=2.0.0->prophet) (1.1.0)\r\n",
      "Requirement already satisfied: cycler>=0.10 in /opt/conda/lib/python3.10/site-packages (from matplotlib>=2.0.0->prophet) (0.11.0)\r\n",
      "Requirement already satisfied: fonttools>=4.22.0 in /opt/conda/lib/python3.10/site-packages (from matplotlib>=2.0.0->prophet) (4.40.0)\r\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /opt/conda/lib/python3.10/site-packages (from matplotlib>=2.0.0->prophet) (1.4.4)\r\n",
      "Requirement already satisfied: packaging>=20.0 in /opt/conda/lib/python3.10/site-packages (from matplotlib>=2.0.0->prophet) (21.3)\r\n",
      "Requirement already satisfied: pillow>=6.2.0 in /opt/conda/lib/python3.10/site-packages (from matplotlib>=2.0.0->prophet) (9.5.0)\r\n",
      "Requirement already satisfied: pyparsing>=2.3.1 in /opt/conda/lib/python3.10/site-packages (from matplotlib>=2.0.0->prophet) (3.0.9)\r\n",
      "Requirement already satisfied: six>=1.5 in /opt/conda/lib/python3.10/site-packages (from python-dateutil>=2.8.0->prophet) (1.16.0)\r\n"
     ]
    }
   ],
   "source": [
    "!pip install prophet"
   ]
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   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.10/site-packages/scipy/__init__.py:146: UserWarning: A NumPy version >=1.16.5 and <1.23.0 is required for this version of SciPy (detected version 1.23.5\n",
      "  warnings.warn(f\"A NumPy version >={np_minversion} and <{np_maxversion}\"\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from matplotlib import pyplot as plt\n",
    "from prophet import Prophet\n",
    "from sklearn.metrics import mean_absolute_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "91d7b924",
   "metadata": {
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     "exception": false,
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   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Month</th>\n",
       "      <th>Sales</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1960-01</td>\n",
       "      <td>6550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1960-02</td>\n",
       "      <td>8728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1960-03</td>\n",
       "      <td>12026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1960-04</td>\n",
       "      <td>14395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1960-05</td>\n",
       "      <td>14587</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      ],
      "text/plain": [
       "     Month  Sales\n",
       "0  1960-01   6550\n",
       "1  1960-02   8728\n",
       "2  1960-03  12026\n",
       "3  1960-04  14395\n",
       "4  1960-05  14587"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(data_url)\n",
    "df.head()"
   ]
  },
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    {
     "data": {
      "text/plain": [
       "(108, 2)"
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   "source": [
    "df.shape"
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "51ede1a3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:45:59.478416Z",
     "iopub.status.busy": "2023-09-03T03:45:59.477937Z",
     "iopub.status.idle": "2023-09-03T03:45:59.483995Z",
     "shell.execute_reply": "2023-09-03T03:45:59.482673Z"
    },
    "papermill": {
     "duration": 0.02272,
     "end_time": "2023-09-03T03:45:59.486812",
     "exception": false,
     "start_time": "2023-09-03T03:45:59.464092",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "df.columns = ['ds','y']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "78505173",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:45:59.513503Z",
     "iopub.status.busy": "2023-09-03T03:45:59.513020Z",
     "iopub.status.idle": "2023-09-03T03:45:59.520965Z",
     "shell.execute_reply": "2023-09-03T03:45:59.519573Z"
    },
    "papermill": {
     "duration": 0.024684,
     "end_time": "2023-09-03T03:45:59.523457",
     "exception": false,
     "start_time": "2023-09-03T03:45:59.498773",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# convert the date to date time\n",
    "df['ds'] = pd.to_datetime(df['ds'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b6b0eeb6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:45:59.550137Z",
     "iopub.status.busy": "2023-09-03T03:45:59.548847Z",
     "iopub.status.idle": "2023-09-03T03:45:59.562567Z",
     "shell.execute_reply": "2023-09-03T03:45:59.561333Z"
    },
    "papermill": {
     "duration": 0.02954,
     "end_time": "2023-09-03T03:45:59.564880",
     "exception": false,
     "start_time": "2023-09-03T03:45:59.535340",
     "status": "completed"
    },
    "tags": []
   },
   "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>ds</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1960-01-01</td>\n",
       "      <td>6550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1960-02-01</td>\n",
       "      <td>8728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1960-03-01</td>\n",
       "      <td>12026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1960-04-01</td>\n",
       "      <td>14395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1960-05-01</td>\n",
       "      <td>14587</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          ds      y\n",
       "0 1960-01-01   6550\n",
       "1 1960-02-01   8728\n",
       "2 1960-03-01  12026\n",
       "3 1960-04-01  14395\n",
       "4 1960-05-01  14587"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e41699aa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:45:59.592143Z",
     "iopub.status.busy": "2023-09-03T03:45:59.590775Z",
     "iopub.status.idle": "2023-09-03T03:45:59.965516Z",
     "shell.execute_reply": "2023-09-03T03:45:59.964166Z"
    },
    "papermill": {
     "duration": 0.391544,
     "end_time": "2023-09-03T03:45:59.968588",
     "exception": false,
     "start_time": "2023-09-03T03:45:59.577044",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "model = Prophet()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "16ebdcf9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:45:59.995196Z",
     "iopub.status.busy": "2023-09-03T03:45:59.994693Z",
     "iopub.status.idle": "2023-09-03T03:46:00.127590Z",
     "shell.execute_reply": "2023-09-03T03:46:00.126296Z"
    },
    "papermill": {
     "duration": 0.149306,
     "end_time": "2023-09-03T03:46:00.130185",
     "exception": false,
     "start_time": "2023-09-03T03:45:59.980879",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "03:46:00 - cmdstanpy - INFO - Chain [1] start processing\n",
      "03:46:00 - cmdstanpy - INFO - Chain [1] done processing\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<prophet.forecaster.Prophet at 0x7d6d36dca4d0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "bdd78bf9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:46:00.157956Z",
     "iopub.status.busy": "2023-09-03T03:46:00.157453Z",
     "iopub.status.idle": "2023-09-03T03:46:00.837770Z",
     "shell.execute_reply": "2023-09-03T03:46:00.836186Z"
    },
    "papermill": {
     "duration": 0.697446,
     "end_time": "2023-09-03T03:46:00.840494",
     "exception": false,
     "start_time": "2023-09-03T03:46:00.143048",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          ds          yhat    yhat_lower    yhat_upper\n",
      "0 1968-01-01  14365.337005  12812.238136  15933.723927\n",
      "1 1968-02-01  14932.023251  13311.714302  16597.672897\n",
      "2 1968-03-01  20887.870156  19247.951745  22422.011828\n",
      "3 1968-04-01  22910.235300  21283.967863  24453.800101\n",
      "4 1968-05-01  24205.434283  22744.159075  25796.158128\n"
     ]
    }
   ],
   "source": [
    "# define the period for which we want a prediction\n",
    "future = list()\n",
    "for i in range(1, 13):\n",
    "    date = '1968-%02d' % i\n",
    "    future.append([date])\n",
    "\n",
    "future = pd.DataFrame(future)\n",
    "future.columns = ['ds']\n",
    "future['ds']= pd.to_datetime(future['ds'])\n",
    "\n",
    "# use the model to make a forecast\n",
    "forecast = model.predict(future)\n",
    "\n",
    "# summarize the forecast\n",
    "print(forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5fe4c6ae",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:46:00.868355Z",
     "iopub.status.busy": "2023-09-03T03:46:00.867900Z",
     "iopub.status.idle": "2023-09-03T03:46:00.877445Z",
     "shell.execute_reply": "2023-09-03T03:46:00.876192Z"
    },
    "papermill": {
     "duration": 0.026894,
     "end_time": "2023-09-03T03:46:00.879977",
     "exception": false,
     "start_time": "2023-09-03T03:46:00.853083",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    1968-01-01\n",
       "1    1968-02-01\n",
       "2    1968-03-01\n",
       "3    1968-04-01\n",
       "4    1968-05-01\n",
       "5    1968-06-01\n",
       "6    1968-07-01\n",
       "7    1968-08-01\n",
       "8    1968-09-01\n",
       "9    1968-10-01\n",
       "10   1968-11-01\n",
       "11   1968-12-01\n",
       "Name: ds, dtype: datetime64[ns]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "future['ds']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "3f4bd3a4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:46:00.907728Z",
     "iopub.status.busy": "2023-09-03T03:46:00.907263Z",
     "iopub.status.idle": "2023-09-03T03:46:01.532558Z",
     "shell.execute_reply": "2023-09-03T03:46:01.531129Z"
    },
    "papermill": {
     "duration": 0.642621,
     "end_time": "2023-09-03T03:46:01.535437",
     "exception": false,
     "start_time": "2023-09-03T03:46:00.892816",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot forecast (IN SAMPLE)\n",
    "model.plot(forecast)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "cdd7fab7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:46:01.566561Z",
     "iopub.status.busy": "2023-09-03T03:46:01.566096Z",
     "iopub.status.idle": "2023-09-03T03:46:01.954129Z",
     "shell.execute_reply": "2023-09-03T03:46:01.952430Z"
    },
    "papermill": {
     "duration": 0.40773,
     "end_time": "2023-09-03T03:46:01.957361",
     "exception": false,
     "start_time": "2023-09-03T03:46:01.549631",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          ds          yhat    yhat_lower    yhat_upper\n",
      "0 1969-01-01  15427.590833  13840.418475  16917.294633\n",
      "1 1969-02-01  16201.186864  14771.646887  17851.042344\n",
      "2 1969-03-01  21403.447706  19894.040357  22894.671083\n",
      "3 1969-04-01  23529.317569  21946.008714  25042.527993\n",
      "4 1969-05-01  25037.663724  23451.904402  26530.110091\n"
     ]
    }
   ],
   "source": [
    "# OUT SAMPLE ForeCast\n",
    "# define the period for which we want a prediction\n",
    "future = list()\n",
    "for i in range(1, 13):\n",
    "    date = '1969-%02d' % i\n",
    "    future.append([date])\n",
    "    \n",
    "future = pd.DataFrame(future)\n",
    "future.columns = ['ds']\n",
    "future['ds']= pd.to_datetime(future['ds'])\n",
    "\n",
    "# use the model to make a forecast\n",
    "forecast = model.predict(future)\n",
    "\n",
    "# summarize the forecast\n",
    "print(forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "723b5517",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:46:01.988442Z",
     "iopub.status.busy": "2023-09-03T03:46:01.987980Z",
     "iopub.status.idle": "2023-09-03T03:46:02.648276Z",
     "shell.execute_reply": "2023-09-03T03:46:02.646683Z"
    },
    "papermill": {
     "duration": 0.678927,
     "end_time": "2023-09-03T03:46:02.651228",
     "exception": false,
     "start_time": "2023-09-03T03:46:01.972301",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot forecast\n",
    "model.plot(forecast)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "0e3c203a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-03T03:46:02.684501Z",
     "iopub.status.busy": "2023-09-03T03:46:02.684037Z",
     "iopub.status.idle": "2023-09-03T03:46:02.970983Z",
     "shell.execute_reply": "2023-09-03T03:46:02.969380Z"
    },
    "papermill": {
     "duration": 0.307166,
     "end_time": "2023-09-03T03:46:02.974046",
     "exception": false,
     "start_time": "2023-09-03T03:46:02.666880",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 1376.962\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# calculate MAE between expected and predicted values for december\n",
    "y_true = df['y'][-12:].values\n",
    "y_pred = forecast['yhat'].values\n",
    "mae = mean_absolute_error(y_true, y_pred)\n",
    "print('MAE: %.3f' % mae)\n",
    "# plot expected vs actual\n",
    "plt.plot(y_true, label='Actual')\n",
    "plt.plot(y_pred, label='Predicted')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "212451b1",
   "metadata": {
    "papermill": {
     "duration": 0.015864,
     "end_time": "2023-09-03T03:46:03.005487",
     "exception": false,
     "start_time": "2023-09-03T03:46:02.989623",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2733f46d",
   "metadata": {
    "papermill": {
     "duration": 0.015007,
     "end_time": "2023-09-03T03:46:03.036555",
     "exception": false,
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