Data in Prob 1.4

obs X1 X2 X3
1 126974 4224 173297
2 96933 3835 160893
3 86656 3510 83219
4 63438 3758 77734
5 55264 3939 128344
6 50976 1809 39080
7 39069 2946 38528
8 36156 359 51038
9 35209 2480 34715
10 32416 2413 25636

Data Prob. 1.4



Array of Descriptive Statistics for X1 & X2

MEANVEC
62309.1 2927.3

Data Prob. 1.4

SIGMA
1.00051E9 25575600
25575600 1430020

DIS
4.3429674
1.1988638
0.5944972
0.8295613
1.8794068
1.0128568
1.023563
5.3330718
0.8116529
0.973559



X1 and X2 with distance

obs X1 X2 D2
1 126974 4224 4.34297
2 96933 3835 1.19886
3 86656 3510 0.59450
4 63438 3758 0.82956
5 55264 3939 1.87941
6 50976 1809 1.01286
7 39069 2946 1.02356
8 36156 359 5.33307
9 35209 2480 0.81165
10 32416 2413 0.97356

Data Prob. 1.4



Distances, normal quantiles, and chi-sq quantiles

Obs D2 Z Xsq
1 0.59450 -1.64485 0.10259
2 0.81165 -1.03643 0.32504
3 0.82956 -0.67449 0.57536
4 0.97356 -0.38532 0.86157
5 1.01286 -0.12566 1.19567
6 1.02356 0.12566 1.59702
7 1.19886 0.38532 2.09964
8 1.87941 0.67449 2.77259
9 4.34297 1.03643 3.79424
10 5.33307 1.64485 5.99146

Data Prob. 1.4



Plot of D2 * Z



Plot of D2 * Xsq