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Numerical and graphical summaries of data

I have been given the following data:

  pcb138 pcb180 pcb52 pcb118      pcb
1    1.46  0.738 0.532  0.720  19.9959
2    0.64  0.664 0.030  0.236   6.0996
3    3.29  1.150 0.134  1.540  24.9655
4    3.94  1.330 0.466  1.940  37.4436
5    3.18  2.140 0.243  1.470  30.1830
6    2.43  1.300 0.137  1.310  20.8036
7    3.94  3.490 0.208  0.876  41.3818
8    3.38  1.040 0.477  2.460  29.4780
9    2.21  0.966 0.457  1.140  24.2387
10   2.49  1.590 0.298  1.180  26.3198
11   0.86  0.395 0.020  0.406   8.5910
12   3.38  1.850 0.539  1.500  36.4229
13   7.39  4.420 0.707  3.550  66.4108
14   2.74  0.595 0.893  1.980  30.5757
15   2.58  1.780 0.112  1.520  25.4771
16   7.28  3.490 1.440  4.000  68.5567
17   2.29  2.100 0.124  0.981  23.1381
18   5.35  5.370 0.154  0.737  43.0451
19   4.62  2.690 0.319  1.490  39.5300
20   3.54  1.140 0.536  1.890  36.5013
21   1.98  1.040 0.718  0.889  26.5255
22   2.01  1.040 0.173  1.500  22.1370
23   2.22  0.897 0.228  1.070  19.1992
24   3.50  2.330 0.456  1.520  32.9518
25   0.86  0.474 0.152  0.393   9.0893
26   4.92  3.650 0.181  1.790  42.0037
27   2.76  0.868 1.780  2.140  48.7727
28   5.18  3.610 0.843  2.390  55.8940
29   2.60  1.240 0.482  1.600  31.8021
30   4.95  2.740 1.290  2.350  60.1485
31  10.80  8.820 0.067  3.550  97.2793
32   2.02  1.390 0.311  1.310  18.3945
33   3.24  2.600 0.117  1.740  27.5003
34   8.22  7.070 0.531  2.560  79.0347
35   9.50  9.470 0.752  2.420  97.8119
36   4.88  2.690 0.304  2.600  44.8870
37   5.75  3.100 0.595  1.850  58.2125
38   5.48  5.460 0.352  1.540  57.4186
39   8.08  3.370 0.065  3.580  57.4938
40   3.29  2.370 0.340  1.350  33.5817
41   3.73  1.020 5.860  3.890 115.7361
42   1.36  0.624 0.269  0.508  14.8479
43   9.92  2.810 1.260  4.770  91.6305
44   8.65  6.210 0.428  3.680  92.1625
45   4.56  1.150 0.307  2.710  37.0122
46   8.78  4.690 0.892  3.850  87.6535
47  13.10  7.630 0.981  4.810 111.3631
48   5.99  3.060 0.062  2.640  47.9596
49   3.91  2.480 0.170  3.180  38.0747
50   6.51  1.470 7.750  5.450 122.7960
51  11.30  4.100 1.620  6.290 113.1166
52   8.12  3.990 0.867  3.490  79.2042
53  11.50  9.330 0.707  3.360  98.3269
54   3.99  2.100 0.328  1.410  33.0017
55   7.88  2.290 0.667  5.650  64.2417
56  13.00  5.040 2.130  6.900 119.3755
57   9.05  5.080 0.497  3.900  80.6768
58  21.00 19.000 0.645  3.660 171.4136
59  12.20 17.600 0.188  4.090 132.8670
60   8.63  3.110 1.780  6.090  91.7974
61   4.39  1.110 0.232  3.350  32.6213
62   5.95  3.630 0.953  2.910  59.5369
63  19.70 10.600 4.030  8.590 200.5094
64   7.60  3.730 0.351  5.000  65.3966
65  18.10  9.870 2.750  8.190 198.5225
66  13.10  4.490 0.538  6.860  89.3715
67  25.20 13.000 1.420 13.000 210.3284
68  12.30  3.750 9.060 18.900 246.6618
69  32.30 31.500 1.800  8.490 318.7461

What is the easiest way to compute the numerical and graphical summaries, describe the relationship of each pair of variables and describe the distribution of each of these variables in sage?

click to hide/show revision 2
No.2 Revision

updated 2014-10-28 15:14:48 -0500

kcrisman gravatar image

Numerical and graphical summaries of data

I have been given the following data:

  pcb138 pcb180 pcb52 pcb118      pcb
1    1.46  0.738 0.532  0.720  19.9959
2    0.64  0.664 0.030  0.236   6.0996
3    3.29  1.150 0.134  1.540  24.9655
4    3.94  1.330 0.466  1.940  37.4436
5    3.18  2.140 0.243  1.470  30.1830
6    2.43  1.300 0.137  1.310  20.8036
7    3.94  3.490 0.208  0.876  41.3818
8    3.38  1.040 0.477  2.460  29.4780
9    2.21  0.966 0.457  1.140  24.2387
10   2.49  1.590 0.298  1.180  26.3198
11   0.86  0.395 0.020  0.406   8.5910
12   3.38  1.850 0.539  1.500  36.4229
13   7.39  4.420 0.707  3.550  66.4108
14   2.74  0.595 0.893  1.980  30.5757
15   2.58  1.780 0.112  1.520  25.4771
16   7.28  3.490 1.440  4.000  68.5567
17   2.29  2.100 0.124  0.981  23.1381
18   5.35  5.370 0.154  0.737  43.0451
19   4.62  2.690 0.319  1.490  39.5300
20   3.54  1.140 0.536  1.890  36.5013
21   1.98  1.040 0.718  0.889  26.5255
22   2.01  1.040 0.173  1.500  22.1370
23   2.22  0.897 0.228  1.070  19.1992
24   3.50  2.330 0.456  1.520  32.9518
25   0.86  0.474 0.152  0.393   9.0893
26   4.92  3.650 0.181  1.790  42.0037
27   2.76  0.868 1.780  2.140  48.7727
28   5.18  3.610 0.843  2.390  55.8940
29   2.60  1.240 0.482  1.600  31.8021
30   4.95  2.740 1.290  2.350  60.1485
31  10.80  8.820 0.067  3.550  97.2793
32   2.02  1.390 0.311  1.310  18.3945
33   3.24  2.600 0.117  1.740  27.5003
34   8.22  7.070 0.531  2.560  79.0347
35   9.50  9.470 0.752  2.420  97.8119
36   4.88  2.690 0.304  2.600  44.8870
37   5.75  3.100 0.595  1.850  58.2125
38   5.48  5.460 0.352  1.540  57.4186
39   8.08  3.370 0.065  3.580  57.4938
40   3.29  2.370 0.340  1.350  33.5817
41   3.73  1.020 5.860  3.890 115.7361
42   1.36  0.624 0.269  0.508  14.8479
43   9.92  2.810 1.260  4.770  91.6305
44   8.65  6.210 0.428  3.680  92.1625
45   4.56  1.150 0.307  2.710  37.0122
46   8.78  4.690 0.892  3.850  87.6535
47  13.10  7.630 0.981  4.810 111.3631
48   5.99  3.060 0.062  2.640  47.9596
49   3.91  2.480 0.170  3.180  38.0747
50   6.51  1.470 7.750  5.450 122.7960
51  11.30  4.100 1.620  6.290 113.1166
52   8.12  3.990 0.867  3.490  79.2042
53  11.50  9.330 0.707  3.360  98.3269
54   3.99  2.100 0.328  1.410  33.0017
55   7.88  2.290 0.667  5.650  64.2417
56  13.00  5.040 2.130  6.900 119.3755
57   9.05  5.080 0.497  3.900  80.6768
58  21.00 19.000 0.645  3.660 171.4136
59  12.20 17.600 0.188  4.090 132.8670
60   8.63  3.110 1.780  6.090  91.7974
61   4.39  1.110 0.232  3.350  32.6213
62   5.95  3.630 0.953  2.910  59.5369
63  19.70 10.600 4.030  8.590 200.5094
64   7.60  3.730 0.351  5.000  65.3966
65  18.10  9.870 2.750  8.190 198.5225
66  13.10  4.490 0.538  6.860  89.3715
67  25.20 13.000 1.420 13.000 210.3284
68  12.30  3.750 9.060 18.900 246.6618
69  32.30 31.500 1.800  8.490 318.7461

What is the easiest way to compute the numerical and graphical summaries, describe the relationship of each pair of variables and describe the distribution of each of these variables in sage?