--------------------------------------- BETA - LONGLEY ---------------------------------------




    ORDINARY LEAST SQUARES ESTIMATION
SINGULAR VALUE DECOMPOSITION

DEPENDENT VARIABLE IS   Y
RESULTS OUTPUT # 8
OBSERVATIONS FROM  1 TO  16 
NUMBER OF OBSERVATIONS    16            DEGREES OF FREEDOM   9
R**2                      .995479       R**2 ADJ             .992465
UNCENTERED R**2           .9999878      MEAN OF DEP VAR      65317
F TEST                    330.2853      PROB OF F TEST       4.98403E-10
DURBIN-WATSON             2.559488      DURBIN'S H           0
R**2 TIMES N              15.92766      VARIANCE OF ESTIMATE 92936.01
SUM OF SQUARED RESID      836424.1      SEE OR RMSE          304.8541
SUM OF ABS(RES)           2869.944      RHO                 -.3667674
LOG(LIKELIHOOD)          -109.6174      SCHWARZ CRITERION   -119.3215
AKAIKE CRITERION         -116.6174      STD DEV OF DEP VAR   3511.968
LOG(LIKELIHOOD) -109.617426277212

NAME                   COEFFICIENT     STD. ERR.  T-RATIO     SIGNIF
----------------------------------------------------------------------
CONSTANT             -3482259       890420.4     -3.910803     .00356
X1                    15.06187      84.91492      .177376      .863141
X2                   -3.581918E-02  3.349101E-02 -1.069516     .312681
X3                   -2.02023       .4883997     -4.136427     .002535
X4                   -1.033227      .2142742     -4.821985     .000944
X5                   -5.110411E-02  .2260732     -.2260511     .826212
X6                    1829.151      455.4785      4.01589      .003037

coefficients and SE's displayed to 15 digits 
-3482258.63459582    890420.383607714
 15.0618722713733    84.9149257748188
-3.58191792925913E-02    3.34910077722638E-02
-2.02022980381683    .488399681651892
-1.03322686717359    .214274163161766
-5.11041056535805E-02    .226073200069455
 1829.15146461355    455.47849914239



Regression Anova

Source        Sum of Squares         DF                     MS Error                F-stat
------------+----------------------+----------------------+-----------------------+----------------------
Regression  | 184172401.944493     | 6                    | 30695400.3240822      | 330.2853             
------------+----------------------+----------------------+-----------------------+----------------------
Residual    | 836424.055506576     | 9                    | 92936.0061673973      |
------------+----------------------+----------------------+-----------------------+----------------------
Total       | 185008826            | 15                   |



--------------------------------------- NIST - LONGLEY ---------------------------------------
CERTIFIED REGRESSION STATISTICS
                                     STANDARD DEVIATION
PARAMETER     ESTIMATE                     OF ESTIMATE
          -3482258.63459582           890420.383607373
          15.0618722713733            84.9149257747669
          -0.358191792925910E-01     0.334910077722432E-01
          -2.02022980381683            0.488399681651699
          -1.03322686717359            0.214274163161675
          -0.511041056535807E-01      0.226073200069370
          1829.15146461355             455.478499142212

RESIDUAL
STANDARD DEVIATION  304.854073561965
R-SQUARED           0.995479004577296


CERTIFIED ANALYSIS OF VARIANCE TABLE

SOURCE OF  DEGREES OF  SUMS OF            MEAN            F STATISTIC
VARIATION  FREEDOM     SQUARES           SQUARES

REGRESSION    6     184172401.944494  30695400.3240823  330.285339234588
RESIDUAL      9     836424.055505915  92936.0061673238