House price prediction using machine learning

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House_Price_Prediction
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House_Price_Prediction
/House_Price_Prediction.ipynb
MYoussef885
MYoussef885
3 years ago
1702 lines (1702 loc) · 187 KB

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Created using Colaboratory
3 years ago
" 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'\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",
" \n",
"\n",
"\n",
"<div id="df-b3cf089e-ef8f-4fa4-909f-12d4ee1cf444">\n",
" <button class="colab-df-quickchart" onclick="quickchart('df-b3cf089e-ef8f-4fa4-909f-12d4ee1cf444')"\n",
" title="Suggest charts."\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",
" \n",
" <path d="M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z"/>\n",
" \n",
"\n",
" \n",
"\n",
"<style>\n",
" .colab-df-quickchart {\n",
" --bg-color: #E8F0FE;\n",
" --fill-color: #1967D2;\n",
" --hover-bg-color: #E2EBFA;\n",
" --hover-fill-color: #174EA6;\n",
" --disabled-fill-color: #AAA;\n",
" --disabled-bg-color: #DDD;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-quickchart {\n",
" --bg-color: #3B4455;\n",
" --fill-color: #D2E3FC;\n",
" --hover-bg-color: #434B5C;\n",
" --hover-fill-color: #FFFFFF;\n",
" --disabled-bg-color: #3B4455;\n",
" --disabled-fill-color: #666;\n",
" }\n",
"\n",
" .colab-df-quickchart {\n",
" background-color: var(--bg-color);\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: var(--fill-color);\n",
" height: 32px;\n",
" padding: 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-quickchart:hover {\n",
" background-color: var(--hover-bg-color);\n",
" box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: var(--button-hover-fill-color);\n",
" }\n",
"\n",
" .colab-df-quickchart-complete:disabled,\n",
" .colab-df-quickchart-complete:disabled:hover {\n",
" background-color: var(--disabled-bg-color);\n",
" fill: var(--disabled-fill-color);\n",
" box-shadow: none;\n",
" }\n",
"\n",
" .colab-df-spinner {\n",
" border: 2px solid var(--fill-color);\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" animation:\n",
" spin 1s steps(1) infinite;\n",
" }\n",
"\n",
" Keyframes (@Keyframes) spin {\n",
" 0% {\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" border-left-color: var(--fill-color);\n",
" }\n",
" 20% {\n",
" border-color: transparent;\n",
" border-left-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" }\n",
" 30% {\n",
" border-color: transparent;\n",
" border-left-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" border-right-color: var(--fill-color);\n",
" }\n",
" 40% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" }\n",
" 60% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" }\n",
" 80% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" border-bottom-color: var(--fill-color);\n",
" }\n",
" 90% {\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" }\n",
" }\n",
"</style>\n",
"\n",
" <script>\n",
" async function quickchart(key) {\n",
" const quickchartButtonEl =\n",
" document.querySelector('#' + key + ' button');\n",
" quickchartButtonEl.disabled = true; // To prevent multiple clicks.\n",
" quickchartButtonEl.classList.add('colab-df-spinner');\n",
" try {\n",
" const charts = await google.colab.kernel.invokeFunction(\n",
" 'suggestCharts', [key], {});\n",
" } catch (error) {\n",
" console.error('Error during call to suggestCharts:', error);\n",
" }\n",
" quickchartButtonEl.classList.remove('colab-df-spinner');\n",
" quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
" }\n",
" (() => {\n",
" let quickchartButtonEl =\n",
" document.querySelector('#df-b3cf089e-ef8f-4fa4-909f-12d4ee1cf444 button');\n",
" quickchartButtonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
" })();\n",
" </script>\n",
"\n",
" \n",
" \n"
]
},
"metadata": {},
"execution_count": 13
}
]
},
{
"cell_type": "markdown",
"source": [
"Understanding the correlation between various features in the dataset"
],
"metadata": {
"id": "_4_WnRTfOJAB"
}
},
{
"cell_type": "markdown",
"source": [
"1. Positive Correlation\n",
"2. Negative Correlation"
],
"metadata": {
"id": "m_qDVyB2ORPv"
}
},
{
"cell_type": "code",
"source": [
"correlation = house_price_dataframe.corr()"
],
"metadata": {
"id": "INlW8yk2N8uL"
},
"execution_count": 18,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# constructing a heatmap to understand the correlation\n",
"\n",
"plt.figure(figsize=(10,10))\n",
"sns.heatmap(correlation, cbar=True, square=True, fmt='.1f', annot=True, annot_kws={'size':8}, cmap='Blues')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 842
},
"id": "6hjfWdsmQ3Q7",
"outputId": "4fc2d22d-5d6f-4787-92af-0f4feaf782cc"
},
"execution_count": 20,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<Axes: >"
]
},
"metadata": {},
"execution_count": 20
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x1000 with 2 Axes>"
],
"image/png": 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