Output from bisqfuel.sas	Source 0 Graphs

                    Bisquare Robust Regression - Fuel data                   1

                                 Iteration 1

Model: MODEL1
Dependent Variable: FUEL       Fuel consumption (/person)

                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F

       Model            4 399316.51094  99829.12774       22.706       0.0001
       Error           43 189049.96822   4396.51089
       C Total         47 588366.47917

           Root MSE      66.30619     R-square       0.6787
           Dep Mean     576.77083     Adj R-sq       0.6488
           C.V.          11.49611

                             Parameter Estimates

                      Parameter      Standard    T for H0:
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|

     INTERCEP   1    377.291146  185.54119075         2.033        0.0482
     TAX        1    -34.790149   12.97020164        -2.682        0.0103
     DRIVERS    1   1336.449357  192.29814253         6.950        0.0001
     ROAD       1     -0.002426    0.00338917        -0.716        0.4780
     INC        1     -0.066589    0.01722175        -3.867        0.0004

                   Variable
     Variable  DF     Label

     INTERCEP   1  Intercept
     TAX        1  Motor fuel tax (cents/gal.)
     DRIVERS    1  Proportion licensed drivers
     ROAD       1  Length Federal Highways (mi.)
     INC        1  Per Capita Personal income ($)

                    Bisquare Robust Regression - Fuel data                   2

                                 Iteration 8

Model: MODEL1
Dependent Variable: FUEL       Fuel consumption (/person)

                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F

       Model            4 167288.32727  41822.08182       35.815       0.0001
       Error           40  46709.16143   1167.72904
       C Total         44 213997.48870

           Root MSE      34.17205     R-square       0.7817
           Dep Mean     553.02626     Adj R-sq       0.7599
           C.V.           6.17910

                             Parameter Estimates

                      Parameter      Standard    T for H0:
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|

     INTERCEP   1    455.703194  108.89511896         4.185        0.0002
     TAX        1    -15.457040    7.84044176        -1.971        0.0556
     DRIVERS    1    934.600325  118.53860774         7.884        0.0001
     ROAD       1      0.001461    0.00203350         0.718        0.4767
     INC        1     -0.075185    0.00990879        -7.588        0.0001

                   Variable
     Variable  DF     Label

     INTERCEP   1  Intercept
     TAX        1  Motor fuel tax (cents/gal.)
     DRIVERS    1  Proportion licensed drivers
     ROAD       1  Length Federal Highways (mi.)
     INC        1  Per Capita Personal income ($)

                    Bisquare Robust Regression - Fuel data                   3

                  Iteration history and parameter estimates

OBS    _RMSE_   INTERCEP      TAX     DRIVERS      ROAD        INC      MAXDIF

 1    66.3062    377.291   -34.7901   1336.45   -.0024259   -0.066589   0.9957
 2    48.2139    437.749   -31.2176   1154.88   -.0016368   -0.065316   0.3940
 3    43.7410    470.093   -28.2648   1059.45   -.0012002   -0.066819   0.1861
 4    41.4628    485.838   -25.4150   1002.13   -.0006361   -0.069252   0.1098
 5    40.6310    489.507   -23.2760    975.41   -.0001396   -0.071349   0.1405
 6    37.8789    490.060   -20.3267    942.66   0.0004797   -0.073647   0.1287
 7    34.8753    472.821   -16.8588    928.44   0.0011755   -0.075289   0.0806
 8    34.1721    455.703   -15.4570    934.60   0.0014607   -0.075185   0.0349

                    Bisquare Robust Regression - Fuel data                   4

                     Residuals, fitted values and weights

           STATE    FUEL      FIT      _WEIGHT_    RESIDUAL    FLAG

            AL       554    585.994     0.92065     -31.994
            AR       628    604.625     0.95724      23.375
            AZ       632    593.082     0.88375      38.918
            CA       524    539.953     0.97996     -15.953
            CO       587    604.842     0.97497     -17.842
            CT       457    435.098     0.96241      21.902
            DE       540    520.909     0.97137      19.091
            FL       574    552.080     0.96234      21.920
            GA       631    604.983     0.94716      26.017
            IA       635    585.635     0.81647      49.365
            ID       648    675.443     0.94130     -27.443
            IL       471    465.764     0.99783       5.236
            IN       580    505.923     0.61294      74.077
            KS       649    633.262     0.98050      15.738
            KY       534    513.399     0.96670      20.601
            LA       487    527.050     0.87711     -40.050
            MA       414    471.462     0.75580     -57.462
            MD       464    429.567     0.90839      34.433
            ME       541    541.656     0.99997      -0.656
            MI       525    531.921     0.99621      -6.921
            MN       566    601.957     0.90031     -35.957
            MO       603    578.295     0.95229      24.705
            MS       577    651.484     0.60920     -74.484
            MT       704    611.510     0.43768      92.490
            NC       566    552.182     0.98495      13.818
            ND       714    579.552     0.08115     134.448
            NE       640    639.444     0.99998       0.556
            NH       524    545.350     0.96426     -21.350
            NJ       467    466.606     0.99999       0.394
            NM       699    604.628     0.41946      94.372
            NV       782    602.285     0.00000     179.715     *
            NY       344    370.978     0.94324     -26.978
            OH       498    536.595     0.88561     -38.595
            OK       644    667.449     0.95696     -23.449
            OR       610    612.729     0.99941      -2.729
            PA       464    504.631     0.87364     -40.631
            RI       410    510.360     0.36183    -100.360
            SC       577    592.856     0.98021     -15.856
            SD       865    678.222     0.00000     186.778     *
            TN       571    568.040     0.99931       2.960
            TX       640    629.253     0.99088      10.747
            UT       591    544.527     0.83641      46.473
            VA       547    486.485     0.73123      60.515
            VT       561    570.385     0.99304      -9.385
            WA       510    519.477     0.99291      -9.477
            WI       508    550.169     0.86425     -42.169
            WV       460    499.213     0.88204     -39.213
            WY       968    654.581     0.00000     313.419     *

                    Bisquare Robust Regression - Fuel data                   5

            Plot of _WEIGHT_*RESIDUAL.  Symbol is value of STATE.

_WEIGHT_ |
         |
     1.0 +             MMI
         |           NC   DA
         |          IO     G
         |         MA       M
         |         L         A
         |         W
         |                    I
     0.8 +
         |
         |       M              V
         |
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     0.6 +    M                   I
         |
         |
         |
         |
         |
         |                          M
     0.4 +
         | R
         |
         |
         |
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     0.2 +
         |
         |
         |
         |                               N
         |
         |
     0.0 +                                     NS                W
         |
         --+------------+------------+------------+------------+------------+-
         -100           0           100          200          300          400

                                        Residual

NOTE: 21 obs hidden.