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Trailing-Edge - PDP-10 Archives - decuslib10-08 - 43,50504/reduce.pri
There are 2 other files named reduce.pri in the archive. Click here to see a list.





"MODEL"  Y  =  A3 * X3  +  A2 * X2  +  A1 * X1;





"INPUT"  5 * [Y, X1, X2, X3];





"OPTIONS"  1, 2, 5, 8;
Transformed data matrix
=======================

obs.no.      A3          A2          A1          dep.var.

     1          4.000       1.000       2.000       8.000
     2          1.000       2.000      -1.000      10.000
     3          4.000      -3.000       1.000       9.000
     4          2.000       1.000       2.000       6.000
     5          6.000       4.000       1.000      12.000
Control information
===================

transformed variable
denoted by parameter          mean           standard deviation                minimum                  maximum

 A3                         3.400000                 1.949359                 1.000000                 6.000000
 A2                         1.000000                 2.549510                -3.000000                 4.000000
 A1                         1.000000                 1.224745                -1.000000                 2.000000
 dep.var.                   9.000000                 2.236068                 6.000000                12.000000

Number of observations :    5





There is no constant independent variable in the transformed (sub)model    (message)





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

             A3          A2          A1          dep.var.

 A3          1.000000
 A2          0.150908    1.000000
 A1          0.418854   -0.160128    1.000000
 dep.var.    0.516185    0.438529   -0.547723    1.000000





Multiple correlation coefficient     0.936662    (adjusted   0.832670)
================================





Proportion of variation explained    0.877336    (adjusted   0.693339)
=================================





Standard deviation of the error term              5.105507
====================================
Regression parameters
=====================
                                                                                                    right  tail
parameter                 estimate           standard deviation              F - ratio              probability

 A3                     2.5446171560             0.9982125895                 6.498286                 0.125553

 A2                     0.2665515256             1.0423373169                 0.065395                 0.822061

 A1                    -1.3851468048             2.3646149361                 0.343140                 0.617320






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

             A3          A2          A1

 A3          1.000000
 A2         -0.452873    1.000000
 A1         -0.751471    0.244757    1.000000





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

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

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

total               5              425.000000

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

regression          3              372.867588            124.289196              4.768212              0.178233
residual            2               52.132412             26.066206

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


regression null hypothesis :  A3 = A2 = A1 = 0
Control information  -  submodel  1
===================

transformed variable
denoted by parameter          mean           standard deviation                minimum                  maximum

 A1          omitted

 A3                         3.400000                 1.949359                 1.000000                 6.000000
 A2                         1.000000                 2.549510                -3.000000                 4.000000
 dep.var.                   9.000000                 2.236068                 6.000000                12.000000

Number of observations :    5





There is no constant independent variable in the transformed (sub)model    (message)





Multiple correlation coefficient     0.925359    (adjusted   0.872057)
================================





Proportion of variation explained    0.856290    (adjusted   0.760483)
=================================





Standard deviation of the error term              4.512086
====================================
Regression parameters
=====================
                                                                                                    right  tail
parameter                 estimate           standard deviation              F - ratio              probability

 A3                     2.1052066559             0.5820385900                13.082354                 0.036325

 A2                     0.4159957059             0.8931663715                 0.216927                 0.673122






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

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

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

total               5              425.000000

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

regression          2              363.923242            181.961621              8.937686              0.054479
residual            3               61.076758             20.358919

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

 reduction          1                8.944346              8.944346              0.343140              0.617320

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


regression null hypothesis :  A3 = A2 = 0  (in the reduced model)

 reduction null hypothesis :  A1 = 0  (in the original model)
Control information  -  submodel  2
===================

transformed variable
denoted by parameter          mean           standard deviation                minimum                  maximum

 A2          omitted
 A1          omitted

 A3                         3.400000                 1.949359                 1.000000                 6.000000
 dep.var.                   9.000000                 2.236068                 6.000000                12.000000

Number of observations :    5





There is no constant independent variable in the transformed (sub)model    (message)





Multiple correlation coefficient     0.919727    (adjusted   0.898539)
================================





Proportion of variation explained    0.845898    (adjusted   0.807373)
=================================





Standard deviation of the error term              4.046392
====================================
Regression parameters
=====================
                                                                                                    right  tail
parameter                 estimate           standard deviation              F - ratio              probability

 A3                     2.2191780822             0.4735943538                21.956913                 0.009407






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

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

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

total               5              425.000000

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

regression          1              359.506849            359.506849             21.956913              0.009407
residual            4               65.493151             16.373288

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

 reduction          2               13.360738              6.680369              0.256285              0.795998

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


regression null hypothesis :  A3 = 0  (in the reduced model)

 reduction null hypothesis :  A2 = A1 = 0  (in the original model)





End of job :  1




"MODEL"  Y - 4 * X1  =  B2 * (X1 + X2) + B3 * X3;





"INPUT"  5 * [Y, X1, X2, X3];





"OPTIONS"  1, 2, 9;
Transformed data matrix
=======================

obs.no.      B2          B3          dep.var.

     1          3.000       4.000       0.000
     2          1.000       1.000      14.000
     3         -2.000       4.000       5.000
     4          3.000       2.000      -2.000
     5          5.000       6.000       8.000
Control information
===================

transformed variable
denoted by parameter          mean           standard deviation                minimum                  maximum

 B2                         2.000000                 2.645751                -2.000000                 5.000000
 B3                         3.400000                 1.949359                 1.000000                 6.000000
 dep.var.                   5.000000                 6.403124                -2.000000                14.000000

Number of observations :    5





There is no constant independent variable in the transformed (sub)model    (message)





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

             B2          B3          dep.var.

 B2          1.000000
 B3          0.339310    1.000000
 dep.var.   -0.177084   -0.140202    1.000000





Proportion of variation explained    0.293057    (adjusted  -0.178239)
=================================





Standard deviation of the error term              8.252406
====================================
Regression parameters
=====================
                                                                                                    right  tail
parameter                 estimate           standard deviation              F - ratio              probability

 B2                    -0.2325836533             1.6513864104                 0.019836                 0.896920

 B3                     1.1991223258             1.3390842284                 0.801883                 0.436516






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

             B2          B3

 B2          1.000000
 B3         -0.692631    1.000000





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

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

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

total               5              289.000000

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

regression          2               84.693363             42.346681              0.621811              0.594397
residual            3              204.306637             68.102212

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

 reduction          1              152.174225            152.174225              5.837989              0.136963

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


regression null hypothesis :  B2 = B3 = 0





End of job :  2