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Clustering without labels — step 7 of 7

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Checkpoint

One last thing before we move on. pass this to mark the lesson done, or skip and keep moving. hop to the next when you're ready.

Build the elbow measurement. Write fit(points, centers) (6 k-means iterations, empty-safe update) and inertia(points, centers) (sum over points of the squared distance to the NEAREST center). Fit with the given starts for k=1, 2, 3, print f"k={k} inertia={...}" (inertia rounded to 2), then print whether the elbow is at k=2 — i.e. whether the k=1→2 drop is more than 10x the k=2→3 drop.

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