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Influential Observations in Multiple Regression 1

Model: MODEL1
Dependent Variable: WEIGHT
                                     Analysis of Variance

                                        Sum of         Mean
               Source          DF      Squares       Square      F Value       Prob>F
               Model            2   7215.63710   3607.81855       27.228       0.0001
               Error           16   2120.09974    132.50623
               C Total         18   9335.73684

                   Root MSE      11.51114     R-square       0.7729
                   Dep Mean     100.02632     Adj R-sq       0.7445
                   C.V.          11.50811
                                      Parameter Estimates

                              Parameter      Standard    T for H0:
             Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
             INTERCEP   1   -141.223763   33.38309350        -4.230        0.0006
             HEIGHT     1      3.597027    0.90546072         3.973        0.0011
             AGE        1      1.278393    3.11010374         0.411        0.6865

                  Dep Var   Predict                      Hat Diag       Cov            INTERCEP
  Obs    NAME     WEIGHT      Value  Residual  Rstudent         H     Ratio    Dffits   Dfbetas
    1  Alfred       112.5     124.9  -12.3686   -1.2231    0.2043    1.1468   -0.6197    0.4335
    2  Alice      84.0000   78.6273    5.3727    0.5119    0.2071    1.4532    0.2617    0.1846
    3  Barbara    98.0000     110.3  -12.2812   -1.1679    0.1465    1.0952   -0.4839    0.1928
    4  Carol        102.5     102.6   -0.0670   -0.0059    0.0772    1.3152   -0.0017   -0.0001
    5  Henry        102.5     105.1   -2.5849   -0.2256    0.0677    1.2886   -0.0608    0.0047
    6  James      83.0000   80.2266    2.7734    0.2474    0.1074    1.3432    0.0858    0.0635
    7  Jane       84.5000   89.2191   -4.7191   -0.4218    0.1037    1.3070   -0.1435   -0.0481
    8  Janet        112.5     102.8    9.7337    0.9752    0.2504    1.3464    0.5636    0.0779
    9  Jeffrey    84.0000     100.2  -16.2095   -1.5110    0.0619    0.8457   -0.3880    0.0029
   10  John       99.5000   86.3415   13.1585    1.2209    0.0965    1.0109    0.3989    0.1940
   11  Joyce      50.5000   57.3660   -6.8660   -0.7101    0.3163    1.6074   -0.4830   -0.4550
   12  Judy       90.0000     108.0  -17.9625   -1.7069    0.0643    0.7615   -0.4476    0.1115
   13  Louise     77.0000   76.6295    0.3705    0.0334    0.1305    1.3955    0.0129    0.0106
   14  Mary         112.0     117.2   -5.1544   -0.4669    0.1251    1.3284   -0.1765    0.0729
   15  Philip       150.0     138.2   11.7836    1.2084    0.2617    1.2441    0.7195   -0.5718
   16  Robert       128.0     107.2   20.7957    2.5578    0.3283    0.6100    1.7883   -0.5029
   17  Ronald       133.0     119.0   14.0471    1.3348    0.1234    0.9886    0.5007   -0.2466
   18  Thomas     85.0000   79.6676    5.3324    0.5065    0.2025    1.4464    0.2553    0.1113
   19  William      112.0     117.2   -5.1544   -0.4669    0.1251    1.3284   -0.1765    0.0729
                  HEIGHT      AGE
  Obs    NAME     Dfbetas   Dfbetas
    1  Alfred     -0.5129    0.3296

Influential Observations in Multiple Regression 2

                  HEIGHT      AGE
  Obs    NAME     Dfbetas   Dfbetas
    2  Alice      -0.2242    0.1651
    3  Barbara    -0.3822    0.3470
    4  Carol       0.0007   -0.0009
    5  Henry       0.0137   -0.0258
    6  James      -0.0282   -0.0089
    7  Jane       -0.0396    0.0862
    8  Janet      -0.4014    0.5008
    9  Jeffrey    -0.1280    0.1493
   10  John        0.0334   -0.1831
   11  Joyce       0.3095   -0.0676
   12  Judy       -0.0078   -0.1051
   13  Louise     -0.0067    0.0011
   14  Mary        0.0208   -0.0945
   15  Philip      0.2414    0.1525
   16  Robert      1.5050   -1.6002
   17  Ronald     -0.0035    0.2244
   18  Thomas      0.0722   -0.1798
   19  William     0.0208   -0.0945

Sum of Residuals                      0
Sum of Squared Residuals      2120.0997
Predicted Resid SS (Press)    3272.7219

Influential Observations in Multiple Regression 3

        Plot of WEIGHT*HEIGHT=NAME.                        Plot of WEIGHT*AGE=NAME.

   150 +                          P                 150 +                                   P
       |                                                |
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       |                    R                           |                            R
WEIGHT |                  R                      WEIGHT |       R
       |                                                |
       |               J    M  A                        |                     A      J
       |                                                |
   100 +           J   CH B                         100 +       J      B      C
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       |         T  J    J                              |T      J             J
       |        AJ     J                                |       J      A
       |        L                                       |       L
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    50 +  J                                          50 +J
       -+-----------+-----------+-----------+           -+------+------+------+------+------+-
       50          60          70          80           11     12     13     14     15     16

                       HEIGHT                                             AGE

NOTE: 1 obs hidden.                              NOTE: 4 obs hidden.


          Plot of AGE*HEIGHT=NAME.                         Plot of RSTUDENT*H=NAME.

AGE |                                            RSTUDENT |
 16 +                             P                     4 +
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 15 +                J    MR                              |
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    |                                                   2 +
 14 +                 CHJ     A                           |
    |                                                     |         J R          P
    |                                                     |                     J
 13 +        A       J   B                                |          J      TA
    |                                                   0 +       C   L
    |                                                     |      H  J M
 12 +        LJ  JJ     R                                 |                          J
    |                                                     |             B   A
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 11 +  J       T                                       -2 +
    -+------------+------------+------------+             --+-------+-------+-------+-------+-
    50           60           70           80              0.0     0.1     0.2     0.3     0.4

                      HEIGHT                                            Leverage

NOTE: 1 obs hidden.                              NOTE: 2 obs hidden.

Influential Observations in Multiple Regression 4 Wild observation: Small h, large residual

Model: HENRY
Dependent Variable: WEIGHT
                                     Analysis of Variance

                                        Sum of         Mean
               Source          DF      Squares       Square      F Value       Prob>F
               Model            2   7644.47904   3822.23952       17.961       0.0001
               Error           16   3404.94201    212.80888
               C Total         18  11049.42105

                   Root MSE      14.58797     R-square       0.6918
                   Dep Mean     102.13158     Adj R-sq       0.6533
                   C.V.          14.28351
                                      Parameter Estimates

                              Parameter      Standard    T for H0:
             Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
             INTERCEP   1   -143.561845   42.30612928        -3.393        0.0037
             HEIGHT     1      3.412933    1.14748318         2.974        0.0089
             AGE        1      2.473901    3.94140977         0.628        0.5391

                  Dep Var   Predict                      Hat Diag       Cov            INTERCEP
  Obs    NAME     WEIGHT      Value  Residual  Rstudent         H     Ratio    Dffits   Dfbetas
    1  Alfred       112.5     126.6  -14.0652   -1.0870    0.2043    1.2149   -0.5507    0.3852
    2  Alice      84.0000   81.4296    2.5704    0.1918    0.2071    1.5195    0.0981    0.0692
    3  Barbara    98.0000     111.5  -13.4634   -0.9989    0.1465    1.1721   -0.4139    0.1649
    4  Carol        102.5     105.4   -2.9050   -0.2010    0.0772    1.3046   -0.0581   -0.0037
    5  HENRY        142.5     107.8   34.7060    3.0286    0.0677    0.3111    0.8163   -0.0632
    6  James      83.0000   81.6860    1.3140    0.0923    0.1074    1.3574    0.0320    0.0237
    7  Jane       84.5000   90.2184   -5.7184   -0.4031    0.1037    1.3110   -0.1371   -0.0460
    8  Janet        112.5     106.9    5.6450    0.4355    0.2504    1.5591    0.2517    0.0348
    9  Jeffrey    84.0000     101.9  -17.9072   -1.2938    0.0619    0.9419   -0.3322    0.0025
   10  John       99.5000   87.4880   12.0120    0.8591    0.0965    1.1629    0.2807    0.1365
   11  Joyce      50.5000   58.7345   -8.2345   -0.6708    0.3163    1.6244   -0.4562   -0.4299
   12  Judy       90.0000     110.5  -20.5244   -1.5118    0.0643    0.8476   -0.3964    0.0988
   13  Louise     77.0000   78.2731   -1.2731   -0.0906    0.1305    1.3936   -0.0351   -0.0288
   14  Mary         112.0     120.5   -8.5067   -0.6111    0.1251    1.2885   -0.2311    0.0955
   15  Philip       150.0     141.8    8.2482    0.6460    0.2617    1.5140    0.3846   -0.3057
   16  Robert       128.0     107.3   20.7170    1.8615    0.3283    0.9686    1.3015   -0.3660
   17  Ronald       133.0     122.2   10.7868    0.7800    0.1234    1.2287    0.2926   -0.1441
   18  Thomas     85.0000   79.8947    5.1053    0.3813    0.2025    1.4785    0.1922    0.0838
   19  William      112.0     120.5   -8.5067   -0.6111    0.1251    1.2885   -0.2311    0.0955

Influential Observations in Multiple Regression 5 Wild observation: Small h, large residual

                  HEIGHT      AGE
  Obs    NAME     Dfbetas   Dfbetas
    1  Alfred     -0.4559    0.2930
    2  Alice      -0.0840    0.0619
    3  Barbara    -0.3269    0.2968
    4  Carol       0.0238   -0.0325
    5  HENRY      -0.1835    0.3470
    6  James      -0.0105   -0.0033
    7  Jane       -0.0379    0.0824
    8  Janet      -0.1793    0.2236
    9  Jeffrey    -0.1096    0.1279
   10  John        0.0235   -0.1288
   11  Joyce       0.2924   -0.0639
   12  Judy       -0.0069   -0.0931
   13  Louise      0.0181   -0.0029
   14  Mary        0.0273   -0.1237
   15  Philip      0.1290    0.0815
   16  Robert      1.0953   -1.1646
   17  Ronald     -0.0020    0.1311
   18  Thomas      0.0543   -0.1353
   19  William     0.0273   -0.1237

Sum of Residuals                      0
Sum of Squared Residuals      3404.9420
Predicted Resid SS (Press)    4694.2459

Influential Observations in Multiple Regression 6 Wild observation: Small h, large residual

                               Partial Regression Residual Plot
       --------+---------+---------+---------+---------+---------+---------+---------+---------
WEIGHT |                                                                                      |
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     0 +                                                                                      +
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       --------+---------+---------+---------+---------+---------+---------+---------+---------
             -0.15     -0.10     -0.05     0.00      0.05      0.10      0.15      0.20

                                               INTERCEP

Influential Observations in Multiple Regression 7 Wild observation: Small h, large residual

                               Partial Regression Residual Plot
       -+------+------+------+------+------+------+------+------+------+------+------+------+--
WEIGHT |                                                                                      |
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       -+------+------+------+------+------+------+------+------+------+------+------+------+--
       -5     -4     -3     -2     -1      0      1      2      3      4      5      6      7

                                                HEIGHT

Influential Observations in Multiple Regression 8 Wild observation: Small h, large residual

                               Partial Regression Residual Plot
       ---+---------+---------+---------+---------+---------+---------+---------+---------+----
WEIGHT |                                                                                      |
    40 +                                                                                      +
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    30 +                                                                                      +
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    20 +                                                                                      +
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    10 +                               J                                           J          +
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       ---+---------+---------+---------+---------+---------+---------+---------+---------+----
        -2.0      -1.5      -1.0      -0.5       0.0       0.5       1.0       1.5       2.0

                                                 AGE

Influential Observations in Multiple Regression 9 Wild observation: Small h, large residual

        Plot of WEIGHT*HEIGHT=NAME.                        Plot of WEIGHT*AGE=NAME.
        (NOTE: 2 obs hidden.)                            (NOTE: 4 obs hidden.)
WEIGHT |                                         WEIGHT |
   150 +                          P                 150 +                                   P
       |                H   R                           |                     H      R
       |                  R                             |       R
       |               J    M  A                        |                     A      J
   100 +           J   C  B                         100 +       J      B      C
       |        AJ  J  J J                              |T      J      A      J
       |        L                                       |       L
       |                                                |
    50 +  J                                          50 +J
       -+-----------+-----------+-----------+           -+------+------+------+------+------+-
       50          60          70          80           11     12     13     14     15     16
                       HEIGHT                                             AGE


          Plot of AGE*HEIGHT=NAME.                         Plot of RSTUDENT*H=NAME.
     (NOTE: 1 obs hidden.)                       RSTUDENT  (NOTE: 2 obs hidden.)
AGE |                                                   4 +
    |                                                     |
 16 +                             P                       |      H
 15 +                J    MR                            2 +                           R
 14 +                 CHJ     A                           |
 13 +        A       J   B                                |         J R     T   JP
 12 +        LJ  JJ     R                               0 +       C  JL      A
 11 +  J       T                                          |         J M B            J
    |                                                     |      J          A
    -+------------+------------+------------+          -2 +
    50           60           70           80             --+-------+-------+-------+-------+-
                      HEIGHT                               0.0     0.1     0.2     0.3     0.4
                                                                        Leverage


          Plot of RESID*YHAT=NAME.                        Plot of RESID*HEIGHT=NAME.
       (NOTE: 3 obs hidden.)                            (NOTE: 2 obs hidden.)
   50 +                                             50 +
R     |                                          R     |
e     |                     H                    e     |                H
s  25 +                                          s  25 +
i     |                     R                    i     |                  R
d     |           T J      J     R      P        d     |         T J   J    R     P
u   0 +          LA        C                     u   0 +        AJ     C
a     |   J          J          M                a     |  J         J       M
l     |                   J  B     A             l     |               J JB    A
  -25 +                                            -25 +
      -+-----------------+-----------------+-          -+-----------+-----------+-----------+-
      50                100               150          50          60          70          80
             Predicted Value of WEIGHT                                  HEIGHT



Influential Observations in Multiple Regression 10 Wild observation: Large h, large residual

Model: ROBERT
Dependent Variable: WEIGHT
                                     Analysis of Variance

                                        Sum of         Mean
               Source          DF      Squares       Square      F Value       Prob>F
               Model            2   8230.99826   4115.49913       13.553       0.0004
               Error           16   4858.42279    303.65142
               C Total         18  13089.42105

                   Root MSE      17.42560     R-square       0.6288
                   Dep Mean     102.13158     Adj R-sq       0.5824
                   C.V.          17.06191
                                      Parameter Estimates

                              Parameter      Standard    T for H0:
             Variable  DF      Estimate         Error   Parameter=0    Prob > |T|
             INTERCEP   1   -159.914461   50.53544393        -3.164        0.0060
             HEIGHT     1      5.114269    1.37068962         3.731        0.0018
             AGE        1     -4.262709    4.70808594        -0.905        0.3787

                  Dep Var   Predict                      Hat Diag       Cov            INTERCEP
  Obs    NAME     WEIGHT      Value  Residual  Rstudent         H     Ratio    Dffits   Dfbetas
    1  Alfred       112.5     133.3  -20.7922   -1.3742    0.2043    1.0686   -0.6963    0.4870
    2  Alice      84.0000   73.6265   10.3735    0.6566    0.2071    1.4060    0.3356    0.2367
    3  Barbara    98.0000     118.6  -20.6321   -1.3100    0.1465    1.0275   -0.5427    0.2163
    4  Carol        102.5     101.6    0.9163    0.0530    0.0772    1.3144    0.0153    0.0010
    5  Henry        102.5     105.2   -2.6637   -0.1534    0.0677    1.2957   -0.0413    0.0032
    6  James      83.0000   81.9806    1.0194    0.0600    0.1074    1.3587    0.0208    0.0154
    7  Jane       84.5000   94.7663  -10.2663   -0.6100    0.1037    1.2581   -0.2075   -0.0696
    8  Janet        112.5   95.7867   16.7133    1.1163    0.2504    1.2743    0.6451    0.0892
    9  Jeffrey    84.0000     104.3  -20.3121   -1.2219    0.0619    0.9732   -0.3137    0.0023
   10  John       99.5000   90.6749    8.8251    0.5205    0.0965    1.2730    0.1701    0.0827
   11  Joyce      50.5000   55.5577   -5.0577   -0.3412    0.3163    1.7343   -0.2321   -0.2186
   12  Judy       90.0000     109.3  -19.2551   -1.1541    0.0643    1.0049   -0.3026    0.0754
   13  Louise     77.0000   76.8664    0.1336    0.0080    0.1305    1.3958    0.0031    0.0025
   14  Mary         112.0     116.2   -4.2438   -0.2526    0.1251    1.3696   -0.0955    0.0395
   15  Philip       150.0     140.1    9.8904    0.6485    0.2617    1.5130    0.3861   -0.3069
   16  ROBERT       168.0     120.3   47.6623    5.8623    0.3283    0.0507    4.0987   -1.1525
   17  Ronald       133.0     118.8   14.1991    0.8633    0.1234    1.1970    0.3239   -0.1595
   18  Thomas     85.0000   87.2662   -2.2662   -0.1411    0.2025    1.5158   -0.0711   -0.0310
   19  William      112.0     116.2   -4.2438   -0.2526    0.1251    1.3696   -0.0955    0.0395

Influential Observations in Multiple Regression 11 Wild observation: Large h, large residual

                  HEIGHT      AGE
  Obs    NAME     Dfbetas   Dfbetas
    1  Alfred     -0.5764    0.3704
    2  Alice      -0.2875    0.2118
    3  Barbara    -0.4287    0.3892
    4  Carol      -0.0063    0.0086
    5  Henry       0.0093   -0.0176
    6  James      -0.0068   -0.0022
    7  Jane       -0.0573    0.1247
    8  Janet      -0.4595    0.5733
    9  Jeffrey    -0.1035    0.1208
   10  John        0.0142   -0.0780
   11  Joyce       0.1487   -0.0325
   12  Judy       -0.0053   -0.0711
   13  Louise     -0.0016    0.0003
   14  Mary        0.0113   -0.0511
   15  Philip      0.1295    0.0819
   16  ROBERT      3.4493   -3.6675
   17  Ronald     -0.0022    0.1451
   18  Thomas     -0.0201    0.0501
   19  William     0.0113   -0.0511

Sum of Residuals                      0
Sum of Squared Residuals      4858.4228
Predicted Resid SS (Press)    8651.9704

Influential Observations in Multiple Regression 12 Wild observation: Large h, large residual

                               Partial Regression Residual Plot
       --------+---------+---------+---------+---------+---------+---------+---------+---------
WEIGHT |                                                                                      |
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    60 +                                                                                      +
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       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
    40 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |         P                                                                            |
       |                                                                                      |
       |                                                                                      |
       |                         R                                                            |
    20 +                                                                                      +
       |                                                                                      |
       |                                          J                                           |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                           ?                                                          |
     0 +                                      C        J                                      +
       |               A                    H                                                 |
       |                                                                                      |
       |                                                           A                          |
       |                          B                           J                               |
       |                                                   T                                  |
       |                                 J          J            L                            |
   -20 +                                     J                                                +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                          J           |
       |                                                                                      |
   -40 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       --------+---------+---------+---------+---------+---------+---------+---------+---------
             -0.15     -0.10     -0.05     0.00      0.05      0.10      0.15      0.20

                                               INTERCEP

Influential Observations in Multiple Regression 13 Wild observation: Large h, large residual

                               Partial Regression Residual Plot
       -+------+------+------+------+------+------+------+------+------+------+------+------+--
WEIGHT |                                                                                      |
    80 +                                                                              R       +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
    60 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
    40 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
    20 +                                                  P                                   +
       |                                                                                      |
       |                                   R                                                  |
       |                                     J                                                |
       |                                                                                      |
       |                                              T                                       |
       |                                                                    A                 |
     0 +                                                              B                       +
       |                                                                                      |
       |   J                     ?    H?           J                                          |
       |                                                                                      |
       |                  L                                                                   |
       |A                                         J                                           |
       |                                                                                      |
   -20 +                                   J                                                  +
       |                                                                                      |
       |                                                                                      |
       |   J                                                                                  |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
   -40 +                                                                                      +
       |                                                                                      |
       -+------+------+------+------+------+------+------+------+------+------+------+------+--
       -5     -4     -3     -2     -1      0      1      2      3      4      5      6      7

                                                HEIGHT

Influential Observations in Multiple Regression 14 Wild observation: Large h, large residual

                               Partial Regression Residual Plot
       ---+---------+---------+---------+---------+---------+---------+---------+---------+----
WEIGHT |                                                                                      |
       |                                                                                      |
    60 +                                                                                      +
       |                                                                                      |
       |    R                                                                                 |
       |                                                                                      |
       |                                                                                      |
    50 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
    40 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
    30 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
    20 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |                                                                                      |
       |                               J                      R                               |
    10 +                                                                           J          +
       |                                                  P                                   |
       |                                                               A                      |
       |                                                                                      |
       |                   T                   J                                              |
     0 +                                            L                                         +
       |                                                     C                                |
       |                                                  H                                   |
       |                                                J                                     |
       |                            J                           ?                             |
   -10 +                                                                                      +
       |                                                                                      |
       |                                                                                      |
       |                      B A                                                             |
       |                                   J                                                  |
   -20 +                                              J                                       +
       |                                                                                      |
       |                                                                                      |
       ---+---------+---------+---------+---------+---------+---------+---------+---------+----
        -2.0      -1.5      -1.0      -0.5       0.0       0.5       1.0       1.5       2.0

                                                 AGE