K_mean_clustering_wine_data.ipynb

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      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "from matplotlib import style\n",
        "import warnings\n",
        "warnings.filterwarnings('ignore')\n",
        "from sklearn.cluster import KMeans\n",
        "from sklearn.metrics import silhouette_score\n",
        "from sklearn.decomposition import PCA\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data=pd.read_csv('/content/winequality-red.csv')"
      ],
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      "execution_count": 4,
      "outputs": []
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              "   fixed acidity  volatile acidity  citric acid  residual sugar  chlorides  \\\n",
              "0            7.4              0.70         0.00             1.9      0.076   \n",
              "1            7.8              0.88         0.00             2.6      0.098   \n",
              "2            7.8              0.76         0.04             2.3      0.092   \n",
              "3           11.2              0.28         0.56             1.9      0.075   \n",
              "4            7.4              0.70         0.00             1.9      0.076   \n",
              "\n",
              "   free sulfur dioxide  total sulfur dioxide  density    pH  sulphates  \\\n",
              "0                 11.0                  34.0   0.9978  3.51       0.56   \n",
              "1                 25.0                  67.0   0.9968  3.20       0.68   \n",
              "2                 15.0                  54.0   0.9970  3.26       0.65   \n",
              "3                 17.0                  60.0   0.9980  3.16       0.58   \n",
              "4                 11.0                  34.0   0.9978  3.51       0.56   \n",
              "\n",
              "   alcohol  quality  \n",
              "0      9.4        5  \n",
              "1      9.8        5  \n",
              "2      9.8        5  \n",
              "3      9.8        6  \n",
              "4      9.4        5  "
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              "      <th>0</th>\n",
              "      <td>7.4</td>\n",
              "      <td>0.70</td>\n",
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              "      <th>1</th>\n",
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              "      <th>2</th>\n",
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              "      <td>0.76</td>\n",
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              "      <td>54.0</td>\n",
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              "      <td>0.65</td>\n",
              "      <td>9.8</td>\n",
              "      <td>5</td>\n",
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              "      <th>3</th>\n",
              "      <td>11.2</td>\n",
              "      <td>0.28</td>\n",
              "      <td>0.56</td>\n",
              "      <td>1.9</td>\n",
              "      <td>0.075</td>\n",
              "      <td>17.0</td>\n",
              "      <td>60.0</td>\n",
              "      <td>0.9980</td>\n",
              "      <td>3.16</td>\n",
              "      <td>0.58</td>\n",
              "      <td>9.8</td>\n",
              "      <td>6</td>\n",
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              "      <th>4</th>\n",
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              "      <td>0.00</td>\n",
              "      <td>1.9</td>\n",
              "      <td>0.076</td>\n",
              "      <td>11.0</td>\n",
              "      <td>34.0</td>\n",
              "      <td>0.9978</td>\n",
              "      <td>3.51</td>\n",
              "      <td>0.56</td>\n",
              "      <td>9.4</td>\n",
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              "(1599, 12)"
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            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 1599 entries, 0 to 1598\n",
            "Data columns (total 12 columns):\n",
            " #   Column                Non-Null Count  Dtype  \n",
            "---  ------                --------------  -----  \n",
            " 0   fixed acidity         1599 non-null   float64\n",
            " 1   volatile acidity      1599 non-null   float64\n",
            " 2   citric acid           1599 non-null   float64\n",
            " 3   residual sugar        1599 non-null   float64\n",
            " 4   chlorides             1599 non-null   float64\n",
            " 5   free sulfur dioxide   1599 non-null   float64\n",
            " 6   total sulfur dioxide  1599 non-null   float64\n",
            " 7   density               1599 non-null   float64\n",
            " 8   pH                    1599 non-null   float64\n",
            " 9   sulphates             1599 non-null   float64\n",
            " 10  alcohol               1599 non-null   float64\n",
            " 11  quality               1599 non-null   int64  \n",
            "dtypes: float64(11), int64(1)\n",
            "memory usage: 150.0 KB\n"
          ]
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              "fixed acidity           0\n",
              "volatile acidity        0\n",
              "citric acid             0\n",
              "residual sugar          0\n",
              "chlorides               0\n",
              "free sulfur dioxide     0\n",
              "total sulfur dioxide    0\n",
              "density                 0\n",
              "pH                      0\n",
              "sulphates               0\n",
              "alcohol                 0\n",
              "quality                 0\n",
              "dtype: int64"
            ]
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          "execution_count": 8
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              "       fixed acidity  volatile acidity  citric acid  residual sugar  \\\n",
              "count    1599.000000       1599.000000  1599.000000     1599.000000   \n",
              "mean        8.319637          0.527821     0.270976        2.538806   \n",
              "std         1.741096          0.179060     0.194801        1.409928   \n",
              "min         4.600000          0.120000     0.000000        0.900000   \n",
              "25%         7.100000          0.390000     0.090000        1.900000   \n",
              "50%         7.900000          0.520000     0.260000        2.200000   \n",
              "75%         9.200000          0.640000     0.420000        2.600000   \n",
              "max        15.900000          1.580000     1.000000       15.500000   \n",
              "\n",
              "         chlorides  free sulfur dioxide  total sulfur dioxide      density  \\\n",
              "count  1599.000000          1599.000000           1599.000000  1599.000000   \n",
              "mean      0.087467            15.874922             46.467792     0.996747   \n",
              "std       0.047065            10.460157             32.895324     0.001887   \n",
              "min       0.012000             1.000000              6.000000     0.990070   \n",
              "25%       0.070000             7.000000             22.000000     0.995600   \n",
              "50%       0.079000            14.000000             38.000000     0.996750   \n",
              "75%       0.090000            21.000000             62.000000     0.997835   \n",
              "max       0.611000            72.000000            289.000000     1.003690   \n",
              "\n",
              "                pH    sulphates      alcohol      quality  \n",
              "count  1599.000000  1599.000000  1599.000000  1599.000000  \n",
              "mean      3.311113     0.658149    10.422983     5.636023  \n",
              "std       0.154386     0.169507     1.065668     0.807569  \n",
              "min       2.740000     0.330000     8.400000     3.000000  \n",
              "25%       3.210000     0.550000     9.500000     5.000000  \n",
              "50%       3.310000     0.620000    10.200000     6.000000  \n",
              "75%       3.400000     0.730000    11.100000     6.000000  \n",
              "max       4.010000     2.000000    14.900000     8.000000  "
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              "      <th></th>\n",
              "      <th>fixed acidity</th>\n",
              "      <th>volatile acidity</th>\n",
              "      <th>citric acid</th>\n",
              "      <th>residual sugar</th>\n",
              "      <th>chlorides</th>\n",
              "      <th>free sulfur dioxide</th>\n",
              "      <th>total sulfur dioxide</th>\n",
              "      <th>density</th>\n",
              "      <th>pH</th>\n",
              "      <th>sulphates</th>\n",
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              "      <th>quality</th>\n",
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              "      <th>count</th>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
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              "      <th>mean</th>\n",
              "      <td>8.319637</td>\n",
              "      <td>0.527821</td>\n",
              "      <td>0.270976</td>\n",
              "      <td>2.538806</td>\n",
              "      <td>0.087467</td>\n",
              "      <td>15.874922</td>\n",
              "      <td>46.467792</td>\n",
              "      <td>0.996747</td>\n",
              "      <td>3.311113</td>\n",
              "      <td>0.658149</td>\n",
              "      <td>10.422983</td>\n",
              "      <td>5.636023</td>\n",
              "    </tr>\n",
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              "      <th>std</th>\n",
              "      <td>1.741096</td>\n",
              "      <td>0.179060</td>\n",
              "      <td>0.194801</td>\n",
              "      <td>1.409928</td>\n",
              "      <td>0.047065</td>\n",
              "      <td>10.460157</td>\n",
              "      <td>32.895324</td>\n",
              "      <td>0.001887</td>\n",
              "      <td>0.154386</td>\n",
              "      <td>0.169507</td>\n",
              "      <td>1.065668</td>\n",
              "      <td>0.807569</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>4.600000</td>\n",
              "      <td>0.120000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.900000</td>\n",
              "      <td>0.012000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>6.000000</td>\n",
              "      <td>0.990070</td>\n",
              "      <td>2.740000</td>\n",
              "      <td>0.330000</td>\n",
              "      <td>8.400000</td>\n",
              "      <td>3.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>7.100000</td>\n",
              "      <td>0.390000</td>\n",
              "      <td>0.090000</td>\n",
              "      <td>1.900000</td>\n",
              "      <td>0.070000</td>\n",
              "      <td>7.000000</td>\n",
              "      <td>22.000000</td>\n",
              "      <td>0.995600</td>\n",
              "      <td>3.210000</td>\n",
              "      <td>0.550000</td>\n",
              "      <td>9.500000</td>\n",
              "      <td>5.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>7.900000</td>\n",
              "      <td>0.520000</td>\n",
              "      <td>0.260000</td>\n",
              "      <td>2.200000</td>\n",
              "      <td>0.079000</td>\n",
              "      <td>14.000000</td>\n",
              "      <td>38.000000</td>\n",
              "      <td>0.996750</td>\n",
              "      <td>3.310000</td>\n",
              "      <td>0.620000</td>\n",
              "      <td>10.200000</td>\n",
              "      <td>6.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>9.200000</td>\n",
              "      <td>0.640000</td>\n",
              "      <td>0.420000</td>\n",
              "      <td>2.600000</td>\n",
              "      <td>0.090000</td>\n",
              "      <td>21.000000</td>\n",
              "      <td>62.000000</td>\n",
              "      <td>0.997835</td>\n",
              "      <td>3.400000</td>\n",
              "      <td>0.730000</td>\n",
              "      <td>11.100000</td>\n",
              "      <td>6.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>15.900000</td>\n",
              "      <td>1.580000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>15.500000</td>\n",
              "      <td>0.611000</td>\n",
              "      <td>72.000000</td>\n",
              "      <td>289.000000</td>\n",
              "      <td>1.003690</td>\n",
              "      <td>4.010000</td>\n",
              "      <td>2.000000</td>\n",
              "      <td>14.900000</td>\n",
              "      <td>8.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-a8d8125b-2e40-408f-b9fb-13f2d280806f')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-a8d8125b-2e40-408f-b9fb-13f2d280806f button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-a8d8125b-2e40-408f-b9fb-13f2d280806f');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(12,10))\n",
        "sns.heatmap(data.corr(),annot=True)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 679
        },
        "id": "uFJBDMM6-bOA",
        "outputId": "dceefa38-d48b-43f3-f8b1-203727b1267c"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data=data.drop('quality',axis=1)"
      ],
      "metadata": {
        "id": "_XDd1mQH-1Ir"
      },
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "wes=[]\n",
        "for i in range(1,10):\n",
        "  k_means=KMeans(n_clusters=i,init='k-means++',random_state=42)\n",
        "  k_means.fit(data)\n",
        "  wes.append(k_means.inertia_)\n",
        "plt.plot(range(1,10),wes)\n",
        "plt.title('Elbow method')\n",
        "plt.xlabel('Clusters')\n",
        "plt.ylabel('Sum of squared distances')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "4MRn8ZFE_KFY",
        "outputId": "e96aff4c-ba71-450c-8ca1-adce797bcf2f"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from yellowbrick.base import Visualizer\n",
        "from yellowbrick.cluster import KElbowVisualizer\n",
        "model=KMeans()\n",
        "visualizer=KElbowVisualizer(model,k=(1,10), timings=False)\n",
        "visualizer.fit(data)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 393
        },
        "id": "AYXJT-elA5Dv",
        "outputId": "9f267e62-83ba-4f09-dd92-e994299fb800"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KElbowVisualizer(ax=<matplotlib.axes._subplots.AxesSubplot object at 0x7f32e56f7f50>,\n",
              "                 estimator=KMeans(n_clusters=9), k=(1, 10), timings=False)"
            ]
          },
          "metadata": {},
          "execution_count": 15
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "pca=PCA()\n",
        "x=pca.fit_transform(data)\n",
        "k_means=KMeans(n_clusters=2)\n",
        "labels=k_means.fit_predict(x)\n",
        "uniqlabels=np.unique(labels)"
      ],
      "metadata": {
        "id": "1qV-FvF1Bszr"
      },
      "execution_count": 17,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "for i in uniqlabels:\n",
        "  plt.scatter(x[labels==i,0],x[labels==i,1],label=i,s=35)\n",
        "plt.legend()\n",
        "plt.title('Wine groups')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 707
        },
        "id": "ShGnUgwEC3TQ",
        "outputId": "881211fc-2fa9-4537-89ba-5bf1c33e2511"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "Halfi0REDqe0"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}