Perform agglomerative clustering on the accompanying data set.

a.Include all five variables, first standardized toz-scores, for the analysis. Choose Euclidean for the distance between observations and single linkage for the distance between clusters. Inspect the dendrogram. How many clusters are generated if the minimum distance between clusters is 5? The number of clusters?

b.Repeat part a but choose the complete linkage clustering method. The number of clusters?

c.Repeat part a but choose Ward's clustering method. The number of clusters?

x1	x2	x3	x4	x5
14.5	497	8860.98	120	0.2605
15.7	614	7356.94	167	0.3025
14.9	544	9674.88	142	0.1681
12.2	438	8062.40	130	0.2017
14.4	518	5845.24	131	0.2857
15.5	556	9170.98	160	0.2353
12.8	456	6550.70	98	0.1261
15.3	566	9170.98	140	0.2353
15.0	588	8501.52	166	0.2773
15.2	617	10682.68	167	0.2521
15.7	587	7860.84	146	0.3109
15.7	554	9395.88	143	0.1681
16.2	599	4155.38	100	0.1025
15.4	575	6651.48	132	0.2437
14.7	474	7457.72	101	0.1597
11.7	440	8823.52	135	0.2941
13.0	426	4434.32	112	0.1345
14.5	449	8566.30	94	0.1513
16.2	608	7155.38	155	0.2437
13.4	509	7123.04	140	0.1235
13.6	518	7558.50	171	0.2269
15.1	594	9674.88	157	0.2185
15.5	558	11704.26	166	0.1128
13.6	470	7256.16	123	0.1051
13.4	455	7039.26	138	0.2857
14.8	476	5240.56	99	0.1080
15.8	653	12020.92	201	0.1681
14.7	449	7457.72	95	0.2017
13.6	534	7356.94	153	0.2269
13.9	529	6953.82	158	0.3613
13.9	582	8566.30	144	0.1429
12.8	486	6651.48	132	0.2185
14.7	512	7760.06	140	0.2521
14.9	576	6651.48	156	0.2437
12.8	511	8566.30	150	0.2185
13.8	526	6752.26	148	0.3529
16.2	603	9876.44	192	0.2605
15.7	662	9372.54	201	0.2269
14.7	597	8263.96	170	0.2353
14.2	495	5139.78	119	0.2269
14.1	469	7860.84	114	0.2773
15.5	542	12899.84	154	0.2017
14.7	511	6752.26	124	0.2689
13.9	551	9070.20	130	0.2101
14.9	536	8969.42	133	0.2521