Apply $k-$means clustering with values of $k=2,3,4,$ and $5$ to cluster the data in DemoKTC based on the Age, Income, and Children variadies. values of the input variables to adjust for the different magnitudes of the variables.

In the Data tab of the Rattle GUI $-$ R window, uncheck the box next to Partition. For the Age, Income, and Children variables, select the Input button. Select the Ignore button for the other variables and then click Execute button. In the Transform tab, in the Type: row, select Rescale and in the Normalize: row, select Recenter. Select the Age, Income, and Children variables and then click the Execute button. In$-$the Cluster tab, in the Type: row, select KMeans, de$-$select the box next to Iterate Clusters. Enter $2$ in the Clusters: box, enter $42$ in the Seed: box, and enter $1000$ in the Runs: box. Deselect the box next to Re$-$Scale. Then, click the Execute button. Repeat by setting Clusters: to $3,4,5.$ To generate various statistics on the clusters, on the Cluster tab, click Stats.

Click on the datafile logo to reference the data.

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