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Question 3What is one of the most suitable ways to choose K when the number of clusters is unclear? 1 pointYou can start by choosing a random number of clusters. By evaluating Clustering performance such as Inertia and Distortion.By increasing the number of clusters calculating the square root. You can start by using a k nearest neighbor method.

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Question 3What is one of the most suitable ways to choose K when the number of clusters is unclear? 1 pointYou can start by choosing a random number of clusters. By evaluating Clustering performance such as Inertia and Distortion.By increasing the number of clusters calculating the square root. You can start by using a k nearest neighbor method.

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Solution

The most suitable way to choose K when the number of clusters is unclear is by evaluating clustering performance such as Inertia and Distortion. Here are the steps:

  1. Start by choosing a random number of clusters (K).

  2. Apply the clustering algorithm to the data (K-means, for example).

  3. Calculate the clustering performance using Inertia and Distortion. Inertia measures the sum of squared distances of samples to their closest cluster center. A lower inertia value is better. Distortion computes the average of the squared distances from the cluster centers of the respective clusters. Typically, the Euclidean distance metric is used.

  4. Increase the number of clusters (K) and repeat steps 2 and 3.

  5. Plot the results (Inertia and Distortion values) against the number of clusters. Look for the "elbow" in the plot. This is a point of inflection where the decrease in inertia/distortion becomes less pronounced. This point gives a good indication of the suitable number of clusters.

  6. Choose the K at the "elbow" point as the most suitable number of clusters.

Note: The K-nearest neighbor method is a type of classification algorithm and not typically used for determining the number of clusters.

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