{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "(Solution) Hands-on Assignment: Data Visualization with Matplotlib — CommonLounge.ipynb",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "L_QxrIRNSCCO",
        "colab_type": "code",
        "outputId": "6e238250-fef6-41bb-cf29-2568373f5f47",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255
        }
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        " \n",
        "dataset = pd.read_csv('diabetes.csv')\n",
        " \n",
        "for column in [\"Glucose\", \"BloodPressure\", \"SkinThickness\", \"Insulin\", \"BMI\", \"DiabetesPedigreeFunction\", \"Age\"]:\n",
        "  bad = (dataset[column] == 0)\n",
        "  dataset.loc[bad, column] = None\n",
        " \n",
        "dataset.describe()\n",
        "dataset.info()\n",
        " \n",
        "normalized = (dataset - dataset.mean()) / dataset.std()\n",
        "normalized[\"Outcome\"] = (normalized[\"Outcome\"] > 0.0)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 768 entries, 0 to 767\n",
            "Data columns (total 9 columns):\n",
            "Pregnancies                 768 non-null int64\n",
            "Glucose                     763 non-null float64\n",
            "BloodPressure               733 non-null float64\n",
            "SkinThickness               541 non-null float64\n",
            "Insulin                     394 non-null float64\n",
            "BMI                         757 non-null float64\n",
            "DiabetesPedigreeFunction    768 non-null float64\n",
            "Age                         768 non-null float64\n",
            "Outcome                     768 non-null int64\n",
            "dtypes: float64(7), int64(2)\n",
            "memory usage: 54.1 KB\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vqAMtgQUSUfU",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "## bar plot data\n",
        "\n",
        "diabetic_means     = normalized[normalized[\"Outcome\"] == True].mean()[:-1]\n",
        "diabetic_stds      = normalized[normalized[\"Outcome\"] == True].std()[:-1]\n",
        "\n",
        "non_diabetic_means = normalized[normalized[\"Outcome\"] == False].mean()[:-1]\n",
        "non_diabetic_stds  = normalized[normalized[\"Outcome\"] == False].std()[:-1]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Du7rk-KnTaGw",
        "colab_type": "code",
        "outputId": "a3053011-0c0e-4ed7-ea4d-009483532aaa",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        }
      },
      "source": [
        "## bar plot\n",
        "\n",
        "fig = plt.figure(figsize=(9, 6))\n",
        "\n",
        "indices = np.arange(len(diabetic_means))\n",
        "width = 0.35\n",
        "error_args = {'ecolor': (0, 0, 0), 'linewidth': 2.0}\n",
        "\n",
        "p1 = plt.bar(indices, diabetic_means + 2.0, width, yerr=diabetic_stds, color='r', error_kw=error_args)\n",
        "p2 = plt.bar(indices-width, non_diabetic_means + 2.0, width, yerr=non_diabetic_stds, color='g', error_kw=error_args)\n",
        "\n",
        "ax = plt.gca()\n",
        "ax.set_xlim(-1.0, 8)\n",
        "ax.set_xticks(indices)\n",
        "ax.set_xticklabels(diabetic_means.index)\n",
        "plt.setp(ax.get_xticklabels(), rotation=45, ha=\"right\", rotation_mode=\"anchor\")\n",
        "plt.tight_layout()\n",
        "\n",
        "# plt.show()\n",
        "fig.savefig('barplot.png')"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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oSZI0MAZASZKkgZlUAEyyRZLfJLkwyesX8PieSeYnOaf7819T31RJkiRNheUWdkCSZYEP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\n",
            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zMMYH4YETb9u",
        "colab_type": "code",
        "outputId": "57cb921a-8b3f-4843-b83a-bf248ddf7080",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 3001
        }
      },
      "source": [
        "## Histogram of each feature, etc.\n",
        "\n",
        "features = dataset.columns[:-1]\n",
        "\n",
        "def histogram(feature):\n",
        "    xx = dataset.loc[(dataset[\"Outcome\"] == 0) & np.logical_not(dataset[feature].isnull()), feature]\n",
        "    yy = dataset.loc[(dataset[\"Outcome\"] == 1) & np.logical_not(dataset[feature].isnull()), feature]\n",
        "\n",
        "    fig = plt.figure(figsize=(9, 6))\n",
        "    kwargs = {\n",
        "            'histtype' : 'stepfilled',\n",
        "            'alpha'    : 0.5,\n",
        "            'density'  : True,\n",
        "            'bins'     : 40,\n",
        "            'color'    : ['g', 'r', ],\n",
        "    }\n",
        "    plt.title(feature)\n",
        "    plt.hist([xx, yy, ], **kwargs)\n",
        "    # plt.show()\n",
        "    fig.savefig('histogram_%s.png' % feature)\n",
        "\n",
        "for feature in features:\n",
        "    histogram(feature)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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9gS60/H9Jng08raquqaoCPgqcsDcdkSRJ42mYsHIIcOfA+va+bNY6VbULeAA4aJ5jbp/n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\nktQ0w4okSWqaYUWSJDXNsCJJkpr2/wD3E7ViPJ3KKQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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RJElNM6xIkqSmGVYkSVLTDCuSJKlp/x/eNk5/qqIpXwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uIBixz-0Th1i",
        "colab_type": "code",
        "outputId": "68e61014-6a2b-4880-a5f1-3d7be04ddd13",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1142
        }
      },
      "source": [
        "## Scatterplot of correlated pairs of variables\n",
        "\n",
        "pairs = [\n",
        "\t('Pregnancies', 'Age'),\n",
        "\t('Insulin', 'Glucose'),\n",
        "\t('BMI', 'SkinThickness'),\n",
        "]\n",
        "\n",
        "def scatterplot(v1, v2):\n",
        "\tgood = np.logical_not(dataset[v1].isnull()) & np.logical_not(dataset[v2].isnull())\n",
        "\txx = dataset.loc[good, v1]\n",
        "\tyy = dataset.loc[good, v2]\n",
        "\tcc = np.array(['g', 'r'])[dataset.loc[good, \"Outcome\"]]\n",
        "\n",
        "\tfig = plt.figure(figsize=(9, 6))\n",
        "\tplt.scatter(xx, yy, c=cc)\n",
        "\n",
        "\tplt.xlabel(v1)\n",
        "\tplt.ylabel(v2)\n",
        "\n",
        "\t# plt.show()\n",
        "\tfig.savefig('scatterplot_%s_%s.png' % (v1, v2))\n",
        "\n",
        "for v1, v2 in pairs:\n",
        "\tscatterplot(v1, v2)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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0FsDPG36m4VMNGTF9BLd8eQtZL2Rx+8zbiYV6vkqddRb07Lk/UbHZrOMm/vMf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\nUqVq9niKDLNCzntwpwminvmvVK0eNXpg8vj4+Du49DokvA7/+w5MHh/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Yd/cEuWJ33klq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\n",
            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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kWbYIlmUxfsF46o2vR9uX21Kv2Yc8fGYWgYKTCOnp8OSTkR9zQeedF34GpkYN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\nTkSuQmCC\n",
            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AbK2sQ7pmlu9ejsfnCXut1pokZxLzb51P39Z9aVOrDQNOG8Dyu5bTtnbb/P33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9nGFWdcwRv93zjeJoddPv1yZuTPOOI9TosTX8AXswr0QWZlVFou9ZdGlAhwW93c1ekuXvj2hSNu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\nQgghEooEL0IIIYRIKBK8CCGEECKh/H+fBswuV9Zs+gAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 648x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "muh3oQqTTwwV",
        "colab_type": "code",
        "outputId": "8b10f071-8988-4836-b8a4-6ec0eabaa556",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 625
        }
      },
      "source": [
        "## Correlation heatmap\n",
        "\n",
        "def heatmap(data, row_labels, col_labels):\n",
        "\t# Adapted from https://matplotlib.org/examples/images_contours_and_fields/interpolation_methods.html\n",
        "    \"\"\"\n",
        "    Create a heatmap from a numpy array and two lists of labels.\n",
        "\n",
        "    Arguments:\n",
        "        data       : A 2D numpy array of shape (N,M)\n",
        "        row_labels : A list or array of length N with the labels for the rows\n",
        "        col_labels : A list or array of length M with the labels for the columns\n",
        "\n",
        "    Optional arguments:\n",
        "        ax         : A matplotlib.axes.Axes instance to which the heatmap\n",
        "                     is plotted. If not provided, use current axes or\n",
        "                     create a new one.\n",
        "        cbar_kw    : A dictionary with arguments to\n",
        "                     :meth:`matplotlib.Figure.colorbar`.\n",
        "        cbarlabel  : The label for the colorbar\n",
        "    All other arguments are directly passed on to the imshow call.\n",
        "    \"\"\"\n",
        "    fig = plt.figure(figsize=(9, 9))\n",
        "\n",
        "    ax = plt.gca()\n",
        "    # Plot the heatmap\n",
        "    im = ax.imshow(data, cmap=\"Wistia\", interpolation=\"nearest\")\n",
        "\n",
        "    # Create colorbar\n",
        "    ax.figure.colorbar(im, ax=ax, fraction=0.043, pad=0.04)\n",
        "\n",
        "    # We want to show all ticks...\n",
        "    ax.set_xticks(np.arange(data.shape[1]))\n",
        "    ax.set_yticks(np.arange(data.shape[0]))\n",
        "\n",
        "    ax.yaxis.tick_left()\n",
        "    ax.xaxis.tick_bottom()\n",
        "\n",
        "    # ... and label them with the respective list entries.\n",
        "    ax.set_xticklabels(col_labels)\n",
        "    ax.set_yticklabels(row_labels)\n",
        "\n",
        "    # Rotate the tick labels and set their alignment.\n",
        "    plt.setp(ax.get_xticklabels(), rotation=45, ha=\"right\", rotation_mode=\"anchor\")\n",
        "    plt.tight_layout()\n",
        "\n",
        "    # Turn spines off and create white grid.\n",
        "    for edge, spine in ax.spines.items():\n",
        "        spine.set_visible(False)\n",
        "\n",
        "    ax.set_xticks(np.arange(data.shape[1]+1)-.5, minor=True)\n",
        "    ax.set_yticks(np.arange(data.shape[0]+1)-.5, minor=True)\n",
        "\n",
        "    ax.grid(which=\"minor\", color=\"w\", linestyle='-', linewidth=2)\n",
        "    ax.tick_params(which=\"minor\", bottom=False, left=False, right=False, top=False)\n",
        "\n",
        "    # plt.show()\n",
        "    fig.savefig('heatmap.png')\n",
        "\n",
        "heatmap(dataset.corr().as_matrix(), dataset.columns, dataset.columns)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:58: FutureWarning: Method .as_matrix will be removed in a future version. Use .values instead.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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xARwDVTVvmvbLgF2maD8OOK5dXrzqIpMkSV0wAZQkSerXiE+X8ixgSZKkMWMC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\n",
            "text/plain": [
              "<Figure size 648x648 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7by8o8MiT6fa",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}