Data Principles week 3 part 2

What method is depicted in the image for initializing k-means clustering?

• Forgy Method

• Random Partition Method

• K-Means++ Method

• Hierarchical Clustering

What is the main characteristic of the Random Partition Method as shown in the image?

• It uses a hierarchical structure to assign observations to clusters.

• It assigns each observation to a cluster based on the closest mean.

• It randomly assigns each observation to a cluster.

• It selects the most central points as the initial cluster centers.

For the k-means clustering algorithm to work reasonably well, the data should ideally fit which cluster model?

• The clusters are irregular and widely dispersed.

• The clusters are spherical with data points centered around the cluster.

• The clusters have high variance and are elongated.

• The clusters are cubic in shape.

What is a characteristic of the spread/variance of clusters in the k-means algorithm?

• The spread/variance of the clusters is highly different for each cluster.

• The spread/variance of the clusters does not affect the clustering process.

• The spread/variance of the clusters is similar, with each data point belonging to the farthest cluster.

• The spread/variance of the clusters is similar, with each data point belonging to the closest cluster.

According to the top figure, what is incorrect about the clusters?

• The clusters have different scatters.

• The clusters have the same scatter.

• The clusters are spherical.

• The clusters have the same shape.

What does the bottom figure illustrate about the clusters?

• The clusters have different shapes but the same scatter.

• The clusters have the same shape and scatter.

• The clusters are spherical but have different scatters.

• The clusters are not spherical and have the same scatter.

How many objects are there according to the k-Means Clustering input data provided?

• 4

• 5

• 6

• 7

What is the number of clusters to be formed in the k-Means Clustering example given?

• 1

• 2

• 3

• 4

Which points are chosen as the initial cluster centers in Step-1 of the k-Means Clustering process?

• (1, 1) and (2, 3)

• (2, 2) and (3, 3)

• (1, 2) and (3, 1)

• (2, 3) and (3, 2)

Refer to the diagram provided. How many points are plotted in the coordinate system?

• 4

• 5

• 6

• 7