{ "cells": [ { "cell_type": "markdown", "id": "c0fceb06-b5e7-4c2f-9f46-5216128911da", "metadata": {}, "source": [ "# Using AI and Machine Learning to Predict Consumer Behavior\n", "\n", "Companies understand that predicting customer behavior fills the gap in the markets and identifies products that are needed and which could generate bigger revenue.\n", "\n", "Consumer behavior prediction can be done by:\n", "\n", "- **Segmentation**: separating customers into smaller groups based on buying behaviors. This helps in the separation of concerns, which in turn helps us identify the region of the market.\n", "- **Predictive Analytics**: we use statistical techniques to analyze previous historical data to predict the future behavior of customers.\n", "\n", "# Data\n", "In this dataset, we have information related to customers:\n", "\n", "- **CustomerID** - ID of the customer\n", "- **Gender** - Gender of the customer\n", "- **Age** - Age of the customer\n", "- **AnnualIncome** - annual income of the customer\n", "- **SpendingScore** - score assigned based on the customer’s behavior and their purchasing data\n", "\n", "You can get tha dataset her: [Mall_Customers.csv](https://www.kaggle.com/datasets/vjchoudhary7/customer-segmentation-tutorial-in-python)" ] }, { "cell_type": "code", "execution_count": null, "id": "3206a006-12a2-4f27-b960-a01c9b3d07a6", "metadata": {}, "outputs": [], "source": [ "# Install\n", "!pip install -U scikit-learn" ] }, { "cell_type": "code", "execution_count": null, "id": "76854c32-87c0-4b16-b47c-c18a29803119", "metadata": {}, "outputs": [], "source": [ "!pip3 install -U seaborn" ] }, { "cell_type": "code", "execution_count": null, "id": "76d09b1e-e780-4fc0-a84a-71b296800c1a", "metadata": {}, "outputs": [], "source": [ "# Import Libraries\n", "import numpy as np\n", "import pandas as pd\n", "import sklearn\n", "from sklearn.cluster import KMeans\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 2, "id": "f9f4d570-7642-4896-bb8d-9dd3d02ddbc9", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
See Full Dataframe in Mito
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CustomerIDGenderAgeAnnual Income (k$)Spending Score (1-100)
01Male191539
12Male211581
23Female20166
34Female231677
45Female311740
" ], "text/plain": [ " CustomerID Gender Age Annual Income (k$) Spending Score (1-100)\n", "0 1 Male 19 15 39\n", "1 2 Male 21 15 81\n", "2 3 Female 20 16 6\n", "3 4 Female 23 16 77\n", "4 5 Female 31 17 40" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('Mall_Customers.csv')\n", "df.head()" ] }, { "cell_type": "markdown", "id": "b1c6b04a-010c-4392-a96f-20051b2bb37e", "metadata": {}, "source": [ "# Data visualizations\n", "## Correlation between Age, Income and Spending scores\n", "A strategy to marketing is to analyze the spending patterns.\n", "\n", "Try to analyze and find how age, annual incomes and spending scores of the customers are." ] }, { "cell_type": "code", "execution_count": 3, "id": "6650dfcc-ec10-4eac-9712-4a6cdbd138f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Distribution plots of Age, Annual Income, and Spending scores\n", "plt.figure(1 , figsize = (15 , 6)) # Dimensions of image\n", "n = 0 \n", "for x in ['Age' , 'Annual Income (k$)' , 'Spending Score (1-100)']:\n", " n += 1\n", " \n", " plt.subplot(1 , 3 , n) # Creates 3 different sub-plots\n", " plt.subplots_adjust(hspace =0.5 , wspace = 0.5)\n", " sns.histplot(df[x] , bins = 20, kde=True) # Creates a distribution plot\n", " \n", " plt.title('Distplot of {}'.format(x)) # Sets title for each plot\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7ceacc90-7325-47ab-8a81-792f66b68e9f", "metadata": {}, "source": [ "## Gender analysis\n", "The second most important thing in deciding the strategy, to analyze the spending patterns based on Gender." ] }, { "cell_type": "code", "execution_count": 4, "id": "b8947ea0-704e-4271-ae44-69f3746b2bac", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(1 , figsize = (15 , 5))\n", "sns.countplot(y = 'Gender' , data = df)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7b47a80b-78b6-4358-8be0-f2bbc8ca9d32", "metadata": {}, "source": [ " We find that Females tend to purchase more than Males do." ] }, { "cell_type": "markdown", "id": "5024be30-4143-4355-9521-03a8f74370f5", "metadata": {}, "source": [ "# Customer segmentation\n", "Segmentation helps in dividing a set of large data into groups of smaller observations that are similar in specific ways relevant to marketing.\n", "\n", "Each group contains individuals that are similar in-between themselves, and different from individuals from the other groups.\n", "\n", "Segmentation is widely used as a marketing tool to create clusters of clients and adapt a relevant strategy for each of them.\n", "\n", "## Segmentation using Age and Spending score\n", "Segment the customers based on their age and their spending scores. This helps us understand the age category of the customers, which could possibly improve spending score, thereby increasing the revenue for the company.\n", "\n", "Here, we have to decide the possible number of clusters (segments) that would return the best results. To do that, we loop through 1 to 11, and find which cluster would be the right choice." ] }, { "cell_type": "code", "execution_count": 5, "id": "a9f4c90d-30d2-466d-b484-62b7c24fadc7", "metadata": {}, "outputs": [], "source": [ "X_age_spending = df[['Age' , 'Spending Score (1-100)']].iloc[: , :].values # extracts only age and spending score information from the dataframe\n", "inertia = []" ] }, { "cell_type": "code", "execution_count": null, "id": "b2d3bd7f-ea27-450b-9f82-aba24fdaa728", "metadata": {}, "outputs": [], "source": [ "X_age_spending" ] }, { "cell_type": "code", "execution_count": 7, "id": "5c9960b4-25ae-476d-a7ef-4a4434083ac8", "metadata": {}, "outputs": [], "source": [ "for n in range(1 , 11):\n", " model_1 = (KMeans(n_clusters = n ,init='k-means++', n_init = 10 , max_iter=300, \n", " tol=0.0001, random_state= 111 , algorithm='full')) # use predefined Kmeans algorithm\n", " model_1.fit(X_age_spending) # fit the data into the model\n", " inertia.append(model_1.inertia_)" ] }, { "cell_type": "markdown", "id": "811cc696-00a9-416c-b3ab-3a12642feef5", "metadata": {}, "source": [ "## Visualize as graph" ] }, { "cell_type": "code", "execution_count": 8, "id": "2fd85599-b750-4796-82bf-c83e7766c5d9", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(1 , figsize = (15 ,6))\n", "plt.plot(np.arange(1 , 11) , inertia , 'o') # Mark the points with a solid circle\n", "plt.plot(np.arange(1 , 11) , inertia , '-' , alpha = 0.5) # Connect remaining points with a line\n", "plt.xlabel('Number of Clusters') , plt.ylabel('Inertia')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0add7aca-2fb1-4314-9df5-32cf0378c35f", "metadata": {}, "source": [ "Notice that after cluster 4, the line graph starts becoming stable.\n", "\n", "This method is known as Elbow method.\n", "\n", "Explore more with 4 clusters." ] }, { "cell_type": "code", "execution_count": 18, "id": "ec2a5f60-51e9-4ee1-b9d3-c80f23928175", "metadata": {}, "outputs": [], "source": [ "model_2 = (KMeans(n_clusters = 4 ,init='k-means++', n_init = 10 ,max_iter=300, \n", " tol=0.0001, random_state= 111 , algorithm='elkan') ) # set number of clusters as 4\n", "model_2.fit(X_age_spending) # fit the model\n", "labels1 = model_2.labels_\n", "centroids1 = model_2.cluster_centers_" ] }, { "cell_type": "markdown", "id": "14223c2e-c121-43c8-a46d-07fed00dff7f", "metadata": {}, "source": [ "## Visualize as graph\n", "Before printing the graph we set:\n", "\n", "- maximum\n", "- minimum\n", "- initializing a meshgrid()" ] }, { "cell_type": "code", "execution_count": 19, "id": "ef1546d8-7d87-4d4b-a543-50050e262572", "metadata": {}, "outputs": [], "source": [ "h = 0.02\n", "x_min, x_max = X_age_spending[:, 0].min() - 1, X_age_spending[:, 0].max() + 1\n", "y_min, y_max = X_age_spending[:, 1].min() - 1, X_age_spending[:, 1].max() + 1\n", "xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n", "Z = model_2.predict(np.c_[xx.ravel(), yy.ravel()]) # returns flattened 1D array" ] }, { "cell_type": "markdown", "id": "39ac119d-932e-47c5-998f-1fee4e83352a", "metadata": {}, "source": [ "### Plot the graph\n", "### KMeans with 4 clusters" ] }, { "cell_type": "code", "execution_count": 20, "id": "72668e4f-03db-437d-86b6-c90c5cfeee20", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(1 , figsize = (15 , 7) )\n", "plt.clf()\n", "Z = Z.reshape(xx.shape)\n", "plt.imshow(Z , interpolation='nearest', \n", " extent=(xx.min(), xx.max(), yy.min(), yy.max()),\n", " cmap = plt.cm.Pastel2, aspect = 'auto', origin='lower')\n", "\n", "plt.scatter( x = 'Age' ,y = 'Spending Score (1-100)' , data = df , c = labels1 , \n", " s = 200 )\n", "plt.scatter(x = centroids1[: , 0] , y = centroids1[: , 1] , s = 300 , c = 'red' , alpha = 0.5)\n", "plt.ylabel('Spending Score (1-100)') , plt.xlabel('Age')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bfd81275-4154-482a-97db-5bf68862400e", "metadata": {}, "source": [ "From this plot, we can get information about the spending patterns:\n", "\n", "- The average spending score irrespective of age would be around 20\n", "- In the topmost cluster, Customers below age 40 has the highest spending scores. The cluster is less sparse.\n", "- Above age 40, the spending score remains consistently within the range of 30 - 60." ] }, { "cell_type": "code", "execution_count": null, "id": "6c4c15bf-6cb4-4ad8-b0f3-c62f4065e5c6", "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": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }