 MTB > read 'a:\ed257\grow.dat' c1-c2
      21 ROWS READ
 
  ROW     C1    C2
 
    1      4     1
    2     10     2
    3     17     3
    4     37     5
   .  .  .
 
 MTB > describe c1-c2
 
                 N     MEAN   MEDIAN   TRMEAN    STDEV
 C1             21    117.9    107.0    118.1     69.6
 C2             21    20.57    14.00    19.53    17.59
 
               MIN      MAX       Q1       Q3
 C1            4.0    228.0     75.0    176.0
 C2           1.00    60.00     8.00    31.50
 
 MTB > plot c1 c2 
 
          -
       240+
          -                                           *    *    *
  C1      -                                      *
          -                                 *
          -
       160+                       * *
          -                    *
          -                  *
          -               2
          -           ****
        80+          *
          -         *
          -
          -       *
          -     2
         0+    *
            --+---------+---------+---------+---------+---------+----C2      
              0        12        24        36        48        60
 
 
 MTB > corr c1 c2 
 
 Correlation of C1 and C2 = 0.943
 
 MTB > brief 3
 MTB > regress c1 1 c2 c3 c4;
 SUBC> residuals c5.
 
 The regression equation is
 C1 = 41.2 + 3.73 C2
 
 Predictor       Coef       Stdev    t-ratio        p
 Constant      41.176       8.095       5.09    0.000
 C2            3.7299      0.3021      12.34    0.000
 
 s = 23.77       R-sq = 88.9%     R-sq(adj) = 88.3%
 
 Analysis of Variance
 
 SOURCE       DF          SS          MS         F    
 Regression    1       86074       86074    152.39    
 Error        19       10731         565
 Total        20       96806
 
 Obs.      C2        C1       Fit Stdev.Fit  Residual 
   1      1.0      4.00     44.91      7.87    -40.91  
   2      2.0     10.00     48.64      7.64    -38.64  
   3      3.0     17.00     52.37      7.42    -35.37  
   4      5.0     37.00     59.83      7.00    -22.83  
   5      7.0     65.00     67.29      6.61     -2.29  
   6      9.0     85.00     74.75      6.25     10.25  
   7     10.0     88.00     78.47      6.09      9.53  
   8     11.0     95.00     82.20      5.94     12.80  
   9     12.0    101.00     85.93      5.80     15.07  
  10     13.0    103.00     89.66      5.67     13.34  
  11     14.0    107.00     93.39      5.55     13.61  
  12     15.0    113.00     97.12      5.45     15.88  
  13     18.0    121.00    108.31      5.24     12.69  
  14     21.0    148.00    119.50      5.19     28.50  
  15     24.0    161.00    130.69      5.29     30.31  
  16     27.0    165.00    141.88      5.54     23.12  
  17     36.0    187.00    175.45      6.97     11.55  
  18     42.0    205.00    197.83      8.30      7.17  
  19     48.0    218.00    220.21      9.78     -2.21  
  20     54.0    218.00    242.59     11.35    -24.59  
  21     60.0    228.00    264.97     12.99    -36.97 X
 
 X denotes an obs. whose X  gives it large influence.
 
 
 MTB > plot c5 c4 
 
          -
          -                       * *
        25+                           *
          -
  C5      -               ***2  *
          -              **                  *
          -                                       *
         0+            *                              *
          -
          -
          -
          -
       -25+           *                                    *
          -
          -         *                                          *
          -        **
          -
            --------+---------+---------+---------+---------+--------C4      
                   50       100       150       200       250
 

 MTB > describe c2 c12-c13
 
                 N     MEAN   MEDIAN   TRMEAN    STDEV 
 C2             21    20.57    14.00    19.53    17.59 
 C12            21      718      196      604     1051 
 C13            21    31762     2744    23737    59536 
 
               MIN      MAX       Q1       Q3
 C2           1.00    60.00     8.00    31.50
 C12             1     3600       65     1012
 C13             1   216000      536    33170
 
 MTB > regress c1 2 c2 c12 c20 c21;
 SUBC> residuals c22.
 
 The regression equation is
 C1 = 3.86 + 8.32 C2 - 0.0796 C12
 
 Predictor       Coef       Stdev    t-ratio        p
 Constant       3.862       4.369       0.88    0.388
 C2            8.3206      0.4166      19.97    0.000
 C12        -0.079580    0.006974     -11.41    0.000
 
 s = 8.509       R-sq = 98.7%     R-sq(adj) = 98.5%
 
 Analysis of Variance
 
 SOURCE       DF          SS          MS         F    
 Regression    2       95503       47751    659.57    
 Error        18        1303          72
 Total        20       96806
 
 SOURCE       DF      SEQ SS
 C2            1       86074
 C12           1        9428
 
 
 Obs.      C2        C1       Fit Stdev.Fit  Residual 
   1      1.0      4.00     12.10      4.02     -8.10  
   2      2.0     10.00     20.19      3.70    -10.19  
   3      3.0     17.00     28.11      3.40    -11.11  
   4      5.0     37.00     43.48      2.89     -6.48  
   5      7.0     65.00     58.21      2.50      6.79  
   6      9.0     85.00     72.30      2.25     12.70  
   7     10.0     88.00     79.11      2.18      8.89  
   8     11.0     95.00     85.76      2.15      9.24  
   9     12.0    101.00     92.25      2.15      8.75  
  10     13.0    103.00     98.58      2.17      4.42  
  11     14.0    107.00    104.75      2.22      2.25  
  12     15.0    113.00    110.77      2.29      2.23  
  13     18.0    121.00    127.85      2.54     -6.85  
  14     21.0    148.00    143.50      2.81      4.50  
  15     24.0    161.00    157.72      3.03      3.28  
  16     27.0    165.00    170.50      3.20     -5.50  
  17     36.0    187.00    200.27      3.31    -13.27  
  18     42.0    205.00    212.95      3.25     -7.95  
  19     48.0    218.00    219.90      3.50     -1.90  
  20     54.0    218.00    221.12      4.48     -3.12  
  21     60.0    228.00    216.61      6.29     11.39 X
 
 X denotes an obs. whose X  gives it large influence.
 
 MTB > plot c22 c21 
 
  C22     -
          -
          -                   *                                   *
        10+                      *
          -                     *  *
          -                *
          -                          *          *  *
          -                           * *
         0+
          -                                                        *
          -                                                        *
          -            *                    *          *
          -    *                                                 *
       -10+      *
          -        *
          -                                                   *
          -
            +---------+---------+---------+---------+---------+------C21     
            0        40        80       120       160       200
 
 
 MTB > regress c1 3 c2 c12 c13 c30 c31; 
 SUBC> residuals c32.
C12 is highly correlated with other  predictor variables
C13 is highly correlated with other  predictor variables
 
 The regression equation is
 C1 = - 7.77 + 10.9 C2 - 0.199 C12 + 0.00139 C13
 
 Predictor       Coef       Stdev    t-ratio        p
 Constant      -7.766       3.675      -2.11    0.050
 C2           10.9114      0.5833      18.70    0.000
 C12         -0.19894     0.02421      -8.22    0.000
 C13        0.0013857   0.0002760       5.02    0.000
 
 s = 5.557       R-sq = 99.5%     R-sq(adj) = 99.4%
 
 Analysis of Variance
 
 SOURCE       DF          SS          MS         F      
 Regression    3       96281       32094   1039.46    
 Error        17         525          31
 Total        20       96806
 
 SOURCE       DF      SEQ SS
 C2            1       86074
 C12           1        9428
 C13           1         778
 
 Obs.      C2        C1       Fit Stdev.Fit  Residual 
   1      1.0      4.00      2.95      3.20      1.05  
   2      2.0     10.00     13.27      2.78     -3.27  
   3      3.0     17.00     23.21      2.43     -6.21  
   4      5.0     37.00     41.99      1.91     -4.99  
   5      7.0     65.00     59.34      1.65      5.66  
   6      9.0     85.00     75.33      1.59      9.67  
   7     10.0     88.00     82.84      1.61      5.16  
   8     11.0     95.00     90.03      1.64      4.97  
   9     12.0    101.00     96.92      1.68      4.08  
  10     13.0    103.00    103.50      1.73     -0.50  
  11     14.0    107.00    109.80      1.77     -2.80  
  12     15.0    113.00    115.82      1.80     -2.82  
  13     18.0    121.00    132.26      1.88    -11.26  
  14     21.0    148.00    146.47      1.93      1.53  
  15     24.0    161.00    158.67      1.99      2.33  
  16     27.0    165.00    169.09      2.11     -4.09  
  17     36.0    187.00    191.86      2.73     -4.86  
  18     42.0    205.00    202.24      3.01      2.76  
  19     48.0    218.00    210.86      2.91      7.14  
  20     54.0    218.00    219.52      2.94     -1.52  
  21     60.0    228.00    230.02      4.90     -2.02 X
 
 R denotes an obs. with a large st. resid.
 X denotes an obs. whose X  gives it large influence.
 
 MTB > plot c32 c31 
 
          -                *
          -
       7.0+                                           *
          -             *    **
  C32     -                    *
          -                                 *       *
          -  *                           *
       0.0+                      *
          -                                             * *
          -    *                  **
          -                                   *   *
          -      *  *
      -7.0+
          -
          -
          -                           *
          -
            +---------+---------+---------+---------+---------+------C31     
            0        50       100       150       200       250
 
 
