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Trailing-Edge - PDP-10 Archives - decus_20tap5_198111 - decus/20-0149/transf.pri
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"MODEL"  y  =  a * d  +  b * x  +  c * z;






"INPUT"  n, m, n * [ z, d, x, y, r ],
	 o, < (o+1) * o : 2 > * [ correl element ],
	 s, s * ( t, t * [ estimate ],
		  t, < (t+1) * t : 2 > * [ covar element ],
		  n, n * ( 6 * [ residual element ] ) );






"OPTIONS"  1, 2, 3, 5(1), 7;
Transformed data matrix
=======================

obs.no.      a           b           c           dep.var.

     1          1.000      25.000       1.398       0.790
     2          1.000      50.000       1.699       0.984
     3          1.000      80.000       1.903       1.058
     4          1.000     130.000       2.114       1.163
     5          1.000     180.000       2.255       1.209
Control information
===================

transformed variable
denoted by parameter          mean           standard deviation                minimum                  maximum

 a                          1.000000                 0.000000                 1.000000                 1.000000
 b                         93.000000                62.409935                25.000000               180.000000
 c                          1.873843                 0.339506                 1.397940                 2.255273
 dep.var.                   1.040800                 0.165565                 0.790000                 1.209000

Number of observations :    5





Correlation matrix of the variables
===================================

             a           b           c           dep.var.

 a           1.000000
 b               *       1.000000
 c               *       0.962417    1.000000
 dep.var.        *       0.929750    0.993099    1.000000





Multiple correlation coefficient     0.997712    (adjusted   0.995418)
================================





Proportion of variation explained    0.995429    (adjusted   0.990858)
=================================





Standard deviation of the error term              0.015831
====================================
Regression parameters
=====================
                                                                                                    right  tail
parameter                 estimate           standard deviation              F - ratio              probability

 a                     -0.0899819314             0.1198580224                 0.563607                 0.531119

 b                     -0.0009361326             0.0004670057                 4.018189                 0.182887

 c                      0.6499168512             0.0858477522                57.313607                 0.017004






Correlation matrix of the estimates
===================================

             a           b           c

 a           1.000000
 b           0.929333    1.000000
 c          -0.993392   -0.962417    1.000000





Analysis of variance
====================

source of                                                                                           right  tail
variation          df          sum of squares           mean square             F - ratio           probability

---------------------------------------------------------------------------------------------------------------

total               5                5.525970

---------------------------------------------------------------------------------------------------------------

mean                1                5.416323              5.416323          21612.954083              0.000000
regression          2                0.109146              0.054573            217.763834              0.004571
residual            2                0.000501              0.000251

---------------------------------------------------------------------------------------------------------------


regression null hypothesis :  b = c = 0
Residual analysis
=================
                                                                                              standardized         studentized
obs.no.        observation        fitted value    standard deviation          residual            residual            residual

     1            0.790000            0.795160            0.015180           -0.005160           -0.515329           -1.148688
     2            0.984000            0.967401            0.009923            0.016599            1.657926            1.345799
     3            1.058000            1.071978            0.011074           -0.013978           -1.396083           -1.235555
     4            1.163000            1.162208            0.009381            0.000792            0.079079            0.062090
     5            1.209000            1.207254            0.014570            0.001746            0.174407            0.282096

                                                       sum of residuals :    -0.000000

                  Upper bound for the right tail probability of the largest absolute studentized residual (no. 2) :   0.994142
Control information  -  submodel  1
===================

transformed variable
denoted by parameter          mean           standard deviation                minimum                  maximum

 c           omitted

 a                          1.000000                 0.000000                 1.000000                 1.000000
 b                         93.000000                62.409935                25.000000               180.000000
 dep.var.                   1.040800                 0.165565                 0.790000                 1.209000

Number of observations :    5





Multiple correlation coefficient     0.929750    (adjusted   0.905122)
================================





Proportion of variation explained    0.864435    (adjusted   0.819246)
=================================





Standard deviation of the error term              0.070390
====================================
Regression parameters
=====================
                                                                                                    right  tail
parameter                 estimate           standard deviation              F - ratio              probability

 a                      0.8114159135             0.0611679599               175.970168                 0.000926

 b                      0.0024664955             0.0005639337                19.129543                 0.022114






Correlation matrix of the estimates
===================================

             a           b

 a           1.000000
 b          -0.857407    1.000000





Analysis of variance
====================

source of                                                                                           right  tail
variation          df          sum of squares           mean square             F - ratio           probability

---------------------------------------------------------------------------------------------------------------

total               5                5.525970

---------------------------------------------------------------------------------------------------------------

mean                1                5.416323              5.416323           1093.153257              0.000061
regression          1                0.094782              0.094782             19.129543              0.022114
residual            3                0.014864              0.004955

---------------------------------------------------------------------------------------------------------------

 reduction          1                0.014363              0.014363             57.313607              0.017004

---------------------------------------------------------------------------------------------------------------


regression null hypothesis :  b = 0  (in the reduced model)

 reduction null hypothesis :  c = 0  (in the original model)
Residual analysis
=================
                                                                                              standardized         studentized
obs.no.        observation        fitted value    standard deviation          residual            residual            residual

     1            0.790000            0.873078            0.049613           -0.083078           -1.523703           -1.663802
     2            0.984000            0.934741            0.039736            0.049259            0.903443            0.847813
     3            1.058000            1.008736            0.032322            0.049264            0.903537            0.787846
     4            1.163000            1.132060            0.037767            0.030940            0.567451            0.520864
     5            1.209000            1.255385            0.058293           -0.046385           -0.850729           -1.175640

                                                       sum of residuals :    -0.000000

                  Upper bound for the right tail probability of the largest absolute studentized residual (no. 1) :   0.197018





End of job :  1





"MODEL"   available  =  beta0  +  beta1 * inorganic  +  beta2 * organic;






"INPUT"  k, l, k * [ constant, inorganic, organic, available ],
	 l, < (l+1) * l : 2 > * [ correl element ],
	 r, r * ( u, u * [ estimate ],
		  u, < (u+1) * u : 2 > * [ covar element ],
		  k, k * ( 6 * [ residual element ] ) );






"OPTIONS" Transformed data matrix, Correlation matrix, Residual analysis;
Transformed data matrix
=======================

obs.no.      beta0       beta1       beta2       dep.var.

     1          1.000       0.400      53.000      64.000
     2          1.000       0.400      23.000      60.000
     3          1.000       3.100      19.000      71.000
     4          1.000       0.600      34.000      61.000
     5          1.000       4.700      24.000      54.000
     6          1.000       1.700      65.000      77.000
     7          1.000       9.400      44.000      81.000
     8          1.000      10.100      31.000      93.000
     9          1.000      11.600      29.000      93.000
    10          1.000      12.600      58.000      51.000

    11          1.000      10.900      37.000      76.000
    12          1.000      23.100      46.000      96.000
    13          1.000      23.100      50.000      77.000
    14          1.000      21.600      44.000      93.000
    15          1.000      23.100      56.000      95.000
    16          1.000       1.900      36.000      54.000
    17          1.000      26.800      58.000     168.000
    18          1.000      29.900      51.000      99.000
Control information
===================

transformed variable
denoted by parameter          mean           standard deviation                minimum                  maximum

 beta0                      1.000000                 0.000000                 1.000000                 1.000000
 beta1                     11.944444                10.154583                 0.400000                29.900000
 beta2                     42.111111                13.624756                19.000000                65.000000
 dep.var.                  81.277778                26.996308                51.000000               168.000000

Number of observations :   18





Correlation matrix of the variables
===================================

             beta0       beta1       beta2       dep.var.

 beta0       1.000000
 beta1           *       1.000000
 beta2           *       0.461567    1.000000
 dep.var.        *       0.693403    0.354466    1.000000





Multiple correlation coefficient     0.694487    (adjusted   0.642875)
================================





Proportion of variation explained    0.482313    (adjusted   0.413288)
=================================





Standard deviation of the error term             20.678399
====================================
Regression parameters
=====================
                                                                                                    right  tail
parameter                 estimate           standard deviation              F - ratio              probability

 beta0                 56.2510240854            16.3107373404                11.893610                 0.003581

 beta1                  1.7897741162             0.5567434145                10.334424                 0.005787

 beta2                  0.0866492500             0.4149429933                 0.043607                 0.837396






Correlation matrix of the estimates
===================================

             beta0       beta1       beta2

 beta0       1.000000
 beta1       0.086771    1.000000
 beta2      -0.883117   -0.461567    1.000000





Analysis of variance
====================

source of                                                                                           right  tail
variation          df          sum of squares           mean square             F - ratio           probability

---------------------------------------------------------------------------------------------------------------

total              18           131299.000000

---------------------------------------------------------------------------------------------------------------

mean                1           118909.388889         118909.388889            278.088058              0.000000
regression          2             5975.668532           2987.834266              6.987514              0.007170
residual           15             6413.942579            427.596172

---------------------------------------------------------------------------------------------------------------


regression null hypothesis :  beta1 = beta2 = 0
Residual analysis
=================
                                                                                              standardized         studentized
obs.no.        observation        fitted value    standard deviation          residual            residual            residual

     1           64.000000           61.559344           10.596613            2.440656            0.129295            0.137448
     2           60.000000           58.959866            8.994436            1.040134            0.055101            0.055862
     3           71.000000           63.445660            9.817069            7.554340            0.400194            0.415085
     4           61.000000           60.270963            7.439813            0.729037            0.038621            0.037786
     5           54.000000           66.742544            8.277594          -12.742544           -0.675041           -0.672453
     6           77.000000           64.925841           14.017687           12.074159            0.639633            0.794248
     7           81.000000           76.887468            5.234633            4.112532            0.217863            0.205577
     8           93.000000           77.013869            6.457231           15.986131            0.846871            0.813778
     9           93.000000           79.525232            7.240620           13.474768            0.713830            0.695677
    10           51.000000           83.827834            8.070605          -32.827834           -1.739066           -1.724294

    11           76.000000           78.965584            5.239553           -2.965584           -0.157103           -0.148253
    12           96.000000          101.580672            7.461991           -5.580672           -0.295638           -0.289377
    13           77.000000          101.927269            7.367271          -24.927269           -1.320530           -1.290133
    14           93.000000           98.722712            7.026946           -5.722712           -0.303163           -0.294260
    15           95.000000          102.447164            7.905720           -7.447164           -0.394516           -0.389751
    16           54.000000           62.770968            6.954672           -8.770968           -0.464645           -0.450398
    17          168.000000          109.242627            9.235282           58.757373            3.112692            3.175816
    18           99.000000          114.184382           10.161448          -15.184382           -0.804398           -0.843133

                                                       sum of residuals :     0.000000

                 Upper bound for the right tail probability of the largest absolute studentized residual (no. 17) :   0.001810





End of job :  2





"MODEL"  surface = alfa + beta * rate + gamma * wheel + delta * visco;






"INPUT"	 n, m, n * [ const, rate, wheel, visco, surface ],
	 s, s * ( t, t * [ estimate ],
		  n, n * ( 6 * [ residual element ] ) );






"OPTIONS" Transformed data matrix, Correlation matrix, Residual analysis;
Transformed data matrix
=======================

obs.no.      alfa        beta        gamma       delta       dep.var.

     1          1.000       4.051       8.575       2.226       3.235
     2          1.000       2.765       8.594       2.235       3.453
     3          1.000       2.777       9.024       2.235       3.246
     4          1.000       4.440       9.287       2.244       2.856
     5          1.000       2.263       8.434       2.283       3.643
     6          1.000       4.440       9.333       2.254       2.901
     7          1.000       4.406       8.666       2.254       3.277
     8          1.000       4.406       8.987       2.303       2.960
     9          1.000       3.199       9.210       2.244       3.105
    10          1.000       3.199       8.795       2.254       3.273

    11          1.000       2.765       9.071       2.263       3.250
    12          1.000       3.199       8.389       2.263       3.472
    13          1.000       3.182       8.936       2.244       3.223
    14          1.000       2.293       8.476       2.244       3.681
    15          1.000       4.075       8.039       2.244       3.572
    16          1.000       3.189       9.138       2.254       3.157
    17          1.000       4.075       8.949       2.323       3.096
    18          1.000       4.075       8.575       2.313       3.277
    19          1.000       2.293       8.648       2.323       3.681
    20          1.000       2.777       8.732       2.283       3.450

    21          1.000       2.777       8.949       2.283       3.292
    22          1.000       4.075       9.230       2.303       2.896
    23          1.000       4.440       8.476       2.283       3.346
    24          1.000       3.199       8.795       2.283       3.307
    25          1.000       2.777       9.024       2.283       3.250
    26          1.000       4.075       8.949       2.283       3.140
    27          1.000       3.199       9.105       0.489       3.153
    28          1.000       4.075       9.220       0.480       2.896
    29          1.000       3.199       8.575       0.399       3.431
    30          1.000       2.777       8.987       0.472       3.246

    31          1.000       2.293       8.896       0.489       3.367
    32          1.000       4.440       8.764       1.115       3.091
    33          1.000       4.075       8.987       1.076       2.934
    34          1.000       4.440       9.180       0.612       2.885
    35          1.000       3.199       8.748       0.663       3.346
Control information
===================

transformed variable
denoted by parameter          mean           standard deviation                minimum                  maximum

 alfa                       1.000000                 0.000000                 1.000000                 1.000000
 beta                       3.454469                 0.748055                 2.263364                 4.439656
 gamma                      8.849891                 0.298180                 8.039157                 9.332558
 delta                      1.851332                 0.732791                 0.398986                 2.322788
 dep.var.                   3.239746                 0.228501                 2.856470                 3.681351

Number of observations :   35





Correlation matrix of the variables
===================================

             alfa        beta        gamma       delta       dep.var.

 alfa        1.000000
 beta            *       1.000000
 gamma           *       0.181207    1.000000
 delta           *       0.002140   -0.184788    1.000000
 dep.var.        *      -0.680447   -0.811063    0.197582    1.000000





Multiple correlation coefficient     0.978154    (adjusted   0.976014)
================================





Proportion of variation explained    0.956785    (adjusted   0.952603)
=================================





Standard deviation of the error term              0.049746
====================================
Regression parameters
=====================
                                                                                                    right  tail
parameter                 estimate           standard deviation              F - ratio              probability

 alfa                   8.5161547705             0.2628811987              1049.465191                 0.000000

 beta                  -0.1692742083             0.0116047180               212.770983                 0.000000

 gamma                 -0.5346926136             0.0296232726               325.793413                 0.000000

 delta                  0.0217758632             0.0118544683                 3.374323                 0.075824






Correlation matrix of the estimates
===================================

             alfa        beta        gamma       delta

 alfa        1.000000
 beta        0.034862    1.000000
 gamma      -0.984808   -0.184785    1.000000
 delta      -0.265643   -0.036859    0.188293    1.000000





Analysis of variance
====================

source of                                                                                           right  tail
variation          df          sum of squares           mean square             F - ratio           probability

---------------------------------------------------------------------------------------------------------------

total              35              369.133526

---------------------------------------------------------------------------------------------------------------

mean                1              367.358289            367.358289         148444.886282              0.000000
regression          3                1.698522              0.566174            228.783777              0.000000
residual           31                0.076716              0.002475

---------------------------------------------------------------------------------------------------------------


regression null hypothesis :  beta = gamma = delta = 0
Residual analysis
=================
                                                                                              standardized         studentized
obs.no.        observation        fitted value    standard deviation          residual            residual            residual

     1            3.234749            3.293605            0.014471           -0.058856           -1.257138           -1.236599
     2            3.453157            3.501612            0.013422           -0.048455           -1.034982           -1.011563
     3            3.246491            3.269608            0.014359           -0.023117           -0.493769           -0.485355
     4            2.856470            2.847656            0.018843            0.008814            0.188267            0.191448
     5            3.642836            3.673238            0.018930           -0.030403           -0.649389           -0.660875
     6            2.901422            2.823664            0.019745            0.077758            1.660861            1.702966
     7            3.277145            3.185918            0.015933            0.091227            1.948567            1.935824
     8            2.960105            3.015032            0.015004           -0.054926           -1.173202           -1.158055
     9            3.104587            3.098805            0.015705            0.005782            0.123491            0.122484
    10            3.273364            3.321185            0.010062           -0.047821           -1.021423           -0.981573

    11            3.250374            3.247224            0.015359            0.003151            0.067294            0.066585
    12            3.471966            3.538192            0.015827           -0.066226           -1.414548           -1.404229
    13            3.222868            3.248424            0.010836           -0.025556           -0.545868           -0.526370
    14            3.681351            3.644690            0.018075            0.036661            0.783071            0.791030
    15            3.572346            3.576834            0.027207           -0.004488           -0.095864           -0.107766
    16            3.157000            3.139466            0.014204            0.017534            0.374526            0.367787
    17            3.095578            3.092069            0.012560            0.003508            0.074932            0.072882
    18            3.277145            3.291563            0.014848           -0.014419           -0.307973           -0.303683
    19            3.681351            3.554511            0.016812            0.126840            2.709233            2.709112
    20            3.449988            3.426623            0.012525            0.023364            0.499047            0.485299

    21            3.292126            3.310771            0.013578           -0.018645           -0.398240           -0.389586
    22            2.895912            2.941291            0.016367           -0.045379           -0.969282           -0.965996
    23            3.346389            3.282092            0.019265            0.064297            1.373353            1.401884
    24            3.306887            3.321816            0.010222           -0.014929           -0.318878           -0.306648
    25            3.250374            3.270650            0.014597           -0.020276           -0.433078           -0.426348
    26            3.139833            3.091198            0.012345            0.048634            1.038804            1.009211
    27            3.152736            3.116926            0.018870            0.035810            0.764892            0.778000
    28            2.895912            2.906863            0.020483           -0.010951           -0.233917           -0.241572
    29            3.430756            3.398086            0.021955            0.032670            0.697814            0.731865
    30            3.246491            3.250894            0.019844           -0.004403           -0.094054           -0.096529

    31            3.367296            3.382300            0.022304           -0.015004           -0.320487           -0.337434
    32            3.091042            3.102835            0.017624           -0.011793           -0.251893           -0.253504
    33            2.933857            3.044480            0.014266           -0.110623           -2.362858           -2.321236
    34            2.884801            2.869558            0.020728            0.015243            0.325573            0.337059
    35            3.346389            3.311411            0.017225            0.034978            0.747120            0.749494

                                                       sum of residuals :     0.000000

                 Upper bound for the right tail probability of the largest absolute studentized residual (no. 19) :   0.166067





End of job :  3