Output from fuelcox.sas

	Output from fuelcox.sas	Source 3 Graphs

                Fuel Consumption: Box-Cox Transformation Plots               1

                   Box-Cox                  Root mean       .95
                    Power         Log        squared     Confidence
           OBS    (lambda)    Likelihood      error       Interval

             1      -2.50      -203.817      69.8381
             2      -2.25      -201.158      66.0750
             3      -2.00      -198.791      62.8961
             4      -1.75      -196.750      60.2773
             5      -1.50      -195.066      58.1992
             6      -1.25      -193.767      56.6461         *
             7      -1.00      -192.877      55.6051         *
             8      -0.75      -192.410      55.0661         *
             9      -0.50      -192.370      55.0210         *
            10      -0.25      -192.755      55.4638         *
            11       0.00      -193.551      56.3908         *
            12       0.25      -194.736      57.8011
            13       0.50      -196.286      59.6974
            14       0.75      -198.169      62.0866
            15       1.00      -200.356      64.9806
            16       1.25      -202.816      68.3970
            17       1.50      -205.519      72.3598
            18       1.75      -208.440      76.8999
            19       2.00      -211.555      82.0557
            20       2.25      -214.843      87.8734
            21       2.50      -218.286      94.4082

                       RMSE for Box-Cox Power Transform                      2

                Plot of _RMSE_*_LAMBDA_.  Symbol used is 'L'.

                  |            |         |
                  |            |         |
               95 +            |         |
                  |            |         |                   L
                  |            |         |
                  |            |         |
             R    |            |         |
             o 90 +            |         |
             o    |            |         |
             t    |            |         |                 L
                  |            |         |
             M    |            |         |
             e 85 +            |         |
             a    |            |         |
             n    |            |         |
                  |            |         |               L
             S    |            |         |
             q 80 +            |         |
             u    |            |         |
             a    |            |         |
             r    |            |         |             L
             e    |            |         |
             d 75 +            |         |
                  |            |         |
             E    |            |         |
             r    |            |         |           L
             r    |            |         |
             o 70 +  L         |         |
             r    |            |         |
                  |            |         |         L
             f    |            |         |
             o    |    L       |         |
             r 65 +            |         |       L
                  |            |         |
             F    |      L     |         |
             u    |            |         |     L
             e    |            |         |
             l 60 +        L   |         |   L
                  |            |         |
                  |          L |         | L
                  |            L         |
                  |            | L       L
               55 +            |   L L L |
                  |            |         |
                  ---+---------+---------+---------+---------+--
                   -2.50     -1.25     0.00      1.25      2.50

                              Box-Cox Power (lambda)

                          t-values for Model Effects                         3

                Plot of TAX*_LAMBDA_.      Symbol used is '1'.
                Plot of DRIVERS*_LAMBDA_.  Symbol used is '2'.
                Plot of ROAD*_LAMBDA_.     Symbol used is '3'.
                Plot of INC*_LAMBDA_.      Symbol used is '4'.
                Plot of POP*_LAMBDA_.      Symbol used is '5'.

                  |            |         |
                  |            |         |
                6 +            |         |
             M    |        2 2 2 2 2 2 2 2 2
             o    |  2 2 2     |         |   2 2
             t    |            |         |       2 2
             o    |            |         |           2 2
             r    |            |         |               2 2
                4 +            |         |                   2
             f    |            |         |
             u    |            |         |
             e    |            |         |
             l    |            |         |
                  |            |         |
             t  2 +            |         |
             a    |            |         |
             x    |            |         |
                  |    3 3 3 3 3 3 3 3 3 3
             (    |  3         |         | 3 3 3 3 3 3
             c    |            |         |             3 3 3 3
             e  0 +            |         |
             n    |            |         |
             t    |            |         |
             s    |            |         |                 4 4
             /    |            |         |             4 4 5 5
             g    |  1 5 5 5   |         | 5 5 5 5 4 4
             a -2 +    1 1 1 5 5 5 5 5 5 5       4           1
             l    |          1 1 1       |   4 4   1 1 1 1 1
             .    |            |   1 1 1 1 1 1 1 1
             )    |            |       4 4
                  |            |     4   |
                  |            4 4 4     |
               -4 +  4 4 4 4 4 |         |
                  |            |         |
                  ---+---------+---------+---------+---------+--
                   -2.50     -1.25     0.00      1.25      2.50

                              Box-Cox Power (lambda)

NOTE: 6 obs hidden.

Model: M0
Dependent Variable: FUEL       Fuel consumption (/person)

                             Analysis of Variance

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

       Model            6 484753.48023  80792.24670       31.970       0.0001
       Error           41 103612.99894   2527.14632
       C Total         47 588366.47917

           Root MSE      50.27073     R-square       0.8239
           Dep Mean     576.77083     Adj R-sq       0.7981
           C.V.           8.71589

                             Parameter Estimates

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

     INTERCEP   1   1679.459345  279.40228056         6.011        0.0001
     TAX        1    -24.089490   10.01375939        -2.406        0.0207
     DRIVERS    1    979.537590  174.96552092         5.598        0.0001
     ROAD       1      0.004288    0.00361000         1.188        0.2418
     INC        1     -0.066395    0.01722715        -3.854        0.0004
     POP        1     -0.006096    0.00310365        -1.964        0.0563
     G          1      2.142911    0.39672892         5.401        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 ($)
     POP        1  Population (1000s)
     G          1  Constructed variable

             Partial Regression Influence plot for Box-Cox power             5
                         Slope: 2.143   Power: -1.25

              Plot of _RESX_*_RESG_.  Symbol is value of STATE.

        |
        |
    250 +
        |                                                              W
        |
        |
        |
    200 +
        |
        |
        |
        |
    150 +
        |
        |
        |
 P      |                         N
 a  100 +
 r      |                                     S
 t      |                   V
 i      |                 I     N
 a      |                    N  K
 l   50 +                     NM
        |                                         N
 F      |              C  FU M
 u      |                     A
 e      |                  CG
 l    0 +----------------I--I---P--------------------------------------------
        |              A NWT S   L
        |             M
        |                 ON  A
        |          D
    -50 +               N  I
        |            K    W  W
        |                O    M M
        |           C M
        |
   -100 +
        |
        |
        |                         R
        |
   -150 +
        |
        ---+--------+--------+--------+--------+--------+--------+--------+--
          -40      -20       0       20       40       60       80       100

                             Partial Constructed Variable

NOTE: 5 obs hidden.

Graphic output from fuelcox.sas

*BoxCox plot of RMSE Lambda for Fuel** [GPLOT 09/27/99 ]
BoxCox Effect plot for Fuel [ GPLOT1 09/27/99 ]
BoxCox influence plot for Fuel [ GPLOT2 09/27/99 ]

Output from fuelcox.sas

Fuel Consumption: Box-Cox Transformation Plots 1

RMSE for Box-Cox Power Transform 2

t-values for Model Effects 3

4

Partial Regression Influence plot for Box-Cox power 5 Slope: 2.143 Power: -1.25

6

Graphic output from fuelcox.sas