1. Given corporate data on 22 public utility companies in the United States, we are interested in separating them into 2 clusters using k-means clustering algorithm. The normalized values of Rate of Return on capital (RoR) and Load Factor (LF) of five of them are listed below.

Utility Company Normalized RoR Normalized LF

Texas Utilities Co. 0.429 -0.667

Florida Power & Light Co. 1.232 0.678

Oklahoma Gas & Electric Co. 0.563 -1.609

Central Louisiana Co. 2.078 -0.892

The Southern Co. 0.830 -0.062

Suppose the other 17 utility companies have been separated into two clusters (cluster 1 and cluster 2) with the following centroids:

Cluster Centroid RoR Centroid LF

1 0.574 -0.404

2 0.485 -0.689

Please compute the Euclidean distance between each of the above five utility companies and each of the clusters. Keep at least three digits after the decimal point.

Utility Company Distance to Centroid of Cluster 1 Distance to Centroid of Cluster 2

Texas Utilities Co.

Florida Power & Light Co.

Oklahoma Gas & Electric Co.

Central Louisiana Co.

The Southern Co.

Please assign each of the above five utility companies to one of the two clusters.

Utility Company Cluster Assignment (1 or 2)

Texas Utilities Co.

Florida Power & Light Co.

Oklahoma Gas & Electric Co.

Central Louisiana Co.

The Southern Co.