* ch08eg1.sas (data from test1q2.sas);
options ls=78;
* program mileage.sas from test 1, fall 2004;
;
data mileage;
 input x y;
 * x = pressure (pounds per square inch), y = mileage (thousands);
 A = x;
 lines;
  30  29.5
  30  30.2
  31  32.1
  31  34.5
  32  36.3
  32  35.0
  33  38.2
  33  37.6
  34  37.7
  34  36.1
  35  33.6
  35  34.2
  36  26.8
  36  27.4
;
proc print;
 var x A y;
;
proc glm;
  model y = x x*x;
;
proc glm;
  class A;
  model y = x x*x A;




                                The SAS System                               1

                           Obs     x     A      y

                             1    30    30    29.5
                             2    30    30    30.2
                             3    31    31    32.1
                             4    31    31    34.5
                             5    32    32    36.3
                             6    32    32    35.0
                             7    33    33    38.2
                             8    33    33    37.6
                             9    34    34    37.7
                            10    34    34    36.1
                            11    35    35    33.6
                            12    35    35    34.2
                            13    36    36    26.8
                            14    36    36    27.4
                                The SAS System                               2

                              The GLM Procedure

                         Number of observations    14



                                The SAS System                               3

                              The GLM Procedure
 
Dependent Variable: y   

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

Model                       2    172.4088095     86.2044048     70.62   <.0001

Error                      11     13.4283333      1.2207576                   

Corrected Total            13    185.8371429                                  


              R-Square     Coeff Var      Root MSE        y Mean

              0.927741      3.296740      1.104879      33.51429


Source                     DF      Type I SS    Mean Square   F Value   Pr > F

x                           1      2.4028571      2.4028571      1.97   0.1882
x*x                         1    170.0059524    170.0059524    139.26   <.0001


Source                     DF    Type III SS    Mean Square   F Value   Pr > F

x                           1    168.8305103    168.8305103    138.30   <.0001
x*x                         1    170.0059524    170.0059524    139.26   <.0001


                                        Standard
      Parameter         Estimate           Error    t Value    Pr > |t|

      Intercept     -1051.108333     92.61766008     -11.35      <.0001
      x                66.185714      5.62799247      11.76      <.0001
      x*x              -1.005952      0.08524326     -11.80      <.0001
                                The SAS System                               4

                              The GLM Procedure

                           Class Level Information
 
                Class         Levels    Values

                A                  7    30 31 32 33 34 35 36 


                         Number of observations    14



                                The SAS System                               5

                              The GLM Procedure
 
Dependent Variable: y   

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

Model                       6    180.0471429     30.0078571     36.28   <.0001

Error                       7      5.7900000      0.8271429                   

Corrected Total            13    185.8371429                                  


              R-Square     Coeff Var      Root MSE        y Mean

              0.968844      2.713690      0.909474      33.51429


Source                     DF      Type I SS    Mean Square   F Value   Pr > F

x                           1      2.4028571      2.4028571      2.91   0.1321
x*x                         1    170.0059524    170.0059524    205.53   <.0001
A                           4      7.6383333      1.9095833      2.31   0.1574


Source                     DF    Type III SS    Mean Square   F Value   Pr > F

x                           0     0.00000000      .               .      .    
x*x                         0     0.00000000      .               .      .    
A                           4     7.63833333     1.90958333      2.31   0.1574