The conversation between human and AI assistant.
What is within cluster sum of squared errors?
Can you give me an example of how it's calculated?
Sure! Let's say we have a cluster with three data points: (1, 2), (3, 4), and (5, 6). The centroid of the cluster would be (3, 4). The squared distance between the first data point (1,2) and the centroid would be (1 - 3)^2 + (2 - 4)^2 = 8. The squared distance between the second data point (3, 4) and the centroid would be (3 - 3)^2 + (4 - 4)^2 = 0. The squared distance between the third data point (5, 6) and the centroid would be (5 - 3)^2 + (6 - 4)^2 = 8. The sum of these squared distances would be 8 + 0 + 8 = 16, which is the within cluster sum of squared errors for this cluster.