Task $2$

The dataset we are going to use has $1000$ entries with unknown number of clusters $($download

data$\_$Kclusters.txt from Blackboard$).$ Use the Elbow Method to find the optimum value for $K$ and show

the results for clustering using the optimum $k.$ You can use the following lines to plot the elbow.

Page $4$ of $5$

WCSS $=[]$

$K=$ range $(1,10)$

for this$\_$k in K:

kmeanModel $=$ KMeans $(n\_$clusters $=$ this$\_$k$)$

kmeanModel.fit $($X$)$

WCSS$.$append $($kmeanModel$.$inertia$\_)$

# Plot the elbow

plt$.$figure$()$

plt$.$plot$($K$,$ wCSS$,\text{'}$bx$-\text{'})$

plt$.$xlabel$(\text{'}$k$\text{'})$

plt$.$ylabel$(\text{'}$WCSS$\text{'})$

plt$.$title$(\text{'}$The Elbow Method showing the optimal k$\text{'})$