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In the cluster kmeans results inertia is not true.
- Kmeans model, k=8, intertia is 1.0e+6
- Kmeans model, k=9, intertia is 9.6e+5
I think inertia must decrease when k increase.
You are correct, inertia usually decreases when the number of clusters k increases! And the results you show actually back up this claim, since:
|8||1e+6 = 1,000,000|
|9||9.6e+5 = 960,000|
Hope this helps!