Announcement

Output for Centering Example
Gerard E. Dallal, Ph.D.

                        Independent Variables: X1
 
DEP VAR:       Y      N:       5  MULTIPLE R: 0.822  SQUARED MULTIPLE R: 0.676
ADJUSTED SQUARED MULTIPLE R:  .568    STANDARD ERROR OF ESTIMATE:        3.795
     
VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
     
CONSTANT           20.400        3.980        0.000      .       5.126    0.014
X1                 -3.000        1.200       -0.822     1.000   -2.500    0.088
     
     
                       ANALYSIS OF VARIANCE
     
SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
     
REGRESSION          90.000     1       90.000       6.250       0.088
RESIDUAL            43.200     3       14.400
     
-------------------------------------------------------------------------------
                        Independent Variables: Z1
     
DEP VAR:       Y      N:       5  MULTIPLE R: 0.822  SQUARED MULTIPLE R: 0.676
ADJUSTED SQUARED MULTIPLE R:  .568    STANDARD ERROR OF ESTIMATE:        3.795
     
VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
     
CONSTANT           11.400        1.697        0.000      .       6.718    0.007
Z1                 -3.000        1.200       -0.822     1.000   -2.500    0.088
     
     
                       ANALYSIS OF VARIANCE
     
SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
     
REGRESSION          90.000     1       90.000       6.250       0.088
RESIDUAL            43.200     3       14.400
     
-------------------------------------------------------------------------------
                        Independent Variables: X2
     
DEP VAR:       Y      N:       5  MULTIPLE R: 0.753  SQUARED MULTIPLE R: 0.567
ADJUSTED SQUARED MULTIPLE R:  .422    STANDARD ERROR OF ESTIMATE:        4.387
     
VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
     
CONSTANT           16.341        3.174        0.000      .       5.148    0.014
X2                 -0.449        0.227       -0.753     1.000   -1.980    0.142
     
     
                       ANALYSIS OF VARIANCE
     
SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
     
REGRESSION          75.465     1       75.465       3.921       0.142
RESIDUAL            57.735     3       19.245
     
-------------------------------------------------------------------------------
                        Independent Variables: Z2
     
DEP VAR:       Y      N:       5  MULTIPLE R: 0.278  SQUARED MULTIPLE R: 0.077
ADJUSTED SQUARED MULTIPLE R:  .000    STANDARD ERROR OF ESTIMATE:        6.401
     
VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
     
CONSTANT            9.686        4.461        0.000      .       2.171    0.118
Z2                  0.857        1.711        0.278     1.000    0.501    0.651
     
     
                       ANALYSIS OF VARIANCE
     
SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
     
REGRESSION          10.286     1       10.286       0.251       0.651
RESIDUAL           122.914     3       40.971
     
-------------------------------------------------------------------------------
                      Independent Variables: X1, X2
     
DEP VAR:       Y      N:       5  MULTIPLE R: 0.868  SQUARED MULTIPLE R: 0.753
ADJUSTED SQUARED MULTIPLE R:  .506    STANDARD ERROR OF ESTIMATE:        4.057
     
VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
     
CONSTANT           26.400        8.701        0.000      .       3.034    0.094
X1                 -8.143        6.631       -2.231     0.037   -1.228    0.344
X2                  0.857        1.084        1.436     0.037    0.791    0.512
     
     
                       ANALYSIS OF VARIANCE
     
SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
     
REGRESSION         100.286     2       50.143       3.047       0.247
RESIDUAL            32.914     2       16.457
     
-------------------------------------------------------------------------------
                      Independent Variables: Z1, Z2
     
DEP VAR:       Y      N:       5  MULTIPLE R: 0.868  SQUARED MULTIPLE R: 0.753
ADJUSTED SQUARED MULTIPLE R:  .506    STANDARD ERROR OF ESTIMATE:        4.057
     
VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
     
CONSTANT            9.686        2.827        0.000      .       3.426    0.076
Z1                 -3.000        1.283       -0.822     1.000   -2.339    0.144
Z2                  0.857        1.084        0.278     1.000    0.791    0.512
     
     
                       ANALYSIS OF VARIANCE
     
SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
     
REGRESSION         100.286     2       50.143       3.047       0.247
RESIDUAL            32.914     2       16.457
     
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Copyright © 2003 Gerard E. Dallal