The accompanying data file contains 28 observations with three variables,x₁, x2, andx₃.

Click here for the Excel Data File

x1	x2	x3
14.23	2.80	127
13.20	2.65	100
13.30	2.40	94
13.16	2.80	101
14.37	3.85	113
13.24	2.80	118
14.20	3.27	112
14.39	2.50	96
14.06	2.60	121
14.83	2.80	97
13.86	2.98	98
14.10	2.95	105
14.12	2.20	95
13.75	2.60	89
14.75	3.10	91
14.38	3.30	102
13.63	2.85	112
14.30	2.80	120
13.83	2.95	115
14.19	3.30	108
13.64	2.70	116
14.06	3.00	126
12.93	2.41	102
13.71	2.61	101
12.85	2.48	95
13.50	2.53	96
13.05	2.63	124
13.39	2.85	93

a.Using the original values, compute the Euclidean distance for all possible pairs of the first three observations.(Round intermediate calculations to at least 4 decimal places and your final answers to 2 decimal places.)

b.Usez-scores to standardize the values, and then compute the Euclidean distance for all possible pairs of the first three observations.(Round intermediate calculations to at least 4 decimal places and your final answers to 2 decimal places.)

c-1.Using the original values, compute the Manhattan distance for all possible pairs of the first three observations.(Round your final answers to 2 decimal places.)

c-2.Using thez-score standardized values, compute the Manhattan distance for all possible pairs of the first three observations.(Round intermediate calculations to at least 4 decimal places and your final answers to 2 decimal places.)