* golf.sas, STT 646 sample final exam;
options ls=72;
;
data golf;
 infile 'golf.dat';
 input obs brand $ numhits;
;
proc print;
 var brand numhits;
;
proc plot;
 plot numhits*brand / vpos=20;
;
proc glm;
 class brand;
 model numhits = brand;
 means brand;
 output out=stats r=e p=pred;
;
proc rank normal=Blom;
 var e;
 ranks nscore;
;
proc corr nosimple;
 var numhits e pred nscore;
;
proc plot;
 plot e*pred / vpos=20 vref=0;
 plot e*nscore / vpos=20 vref=0 href=0;




                             The SAS System                            1

                        OBS    BRAND    NUMHITS

                          1      A        281  
                          2      A        220  
                          3      A        274  
                          4      A        242  
                          5      A        251  
                          6      B        270  
                          7      B        334  
                          8      B        307  
                          9      B        290  
                         10      B        331  
                         11      C        218  
                         12      C        244  
                         13      C        225  
                         14      C        273  
                         15      C        249  
                         16      D        364  
                         17      D        302  
                         18      D        325  
                         19      D        337  
                         20      D        355  
                             The SAS System                            2

       Plot of NUMHITS*BRAND.  Legend: A = 1 obs, B = 2 obs, etc.

     NUMHITS |
             |
         400 +
             |
             |
             |                                                  A
         350 +                                                  A
             |                  A                               A
             |                  A                               A
             |                  A
         300 +                                                  A
             |                  A
             |  B               A               A
             |
         250 +  A                               B
             |  A
             |  A                               A
             |                                  A
         200 +
             |
             ---+---------------+---------------+---------------+--
                A               B               C               D

                                      BRAND

                                                                        
                             The SAS System                            3

                    General Linear Models Procedure
                        Class Level Information

                       Class    Levels    Values

                       BRAND         4    A B C D


                Number of observations in data set = 20



                             The SAS System                            4

                    General Linear Models Procedure

Dependent Variable: NUMHITS   
                                  Sum of         Mean
Source                  DF       Squares       Square  

Model                          29860.400     

Error                   16      9698.400      606.150

Corrected Total         
                             The SAS System                            5

                    General Linear Models Procedure

              Level of       -----------NUMHITS-----------
              BRAND      N       Mean              SD

              A          5     253.600000       24.6840029
              B          5     306.400000       27.2084546
              C          5     241.800000       21.6725633
              D          5     336.600000       24.6028454





                             The SAS System                            6

                          Correlation Analysis

          4 'VAR' Variables:  NUMHITS  E        PRED     NSCORE  


Pearson Correlation Coefficients / Prob > |R| under Ho: Rho=0 / N = 20  

                         NUMHITS            E         PRED       NSCORE

NUMHITS                  1.00000      0.49514      0.86881      0.41900
                          0.0          0.0264       0.0001       0.0659

E                        0.49514      1.00000      0.00000      0.97346
                          0.0264       0.0          1.0000       0.0001

PRED                     0.86881      0.00000      1.00000     -0.07252
                          0.0001       1.0000       0.0          0.7613

NSCORE                   0.41900      0.97346     -0.07252      1.00000
RANK FOR VARIABLE E       0.0659       0.0001       0.7613       0.0   
                             The SAS System                            7

          Plot of E*PRED.  Legend: A = 1 obs, B = 2 obs, etc.

  E |
    |
 50 +
    |
    |
    | A
 25 +         A                                 B                   A
    |         A                                                     A
    |
    | A
  0 +-A-------A---------------------------------A-------------------A---
    |
    |         A                                                     A
    | A                                         A
-25 + A
    |         A
    |                                           A                   A
    |
-50 +
    |
    -+------------+------------+------------+------------+------------+-
    240          260          280          300          320          340

                                    PRED

                                                                        
                             The SAS System                            8

         Plot of E*NSCORE.  Legend: A = 1 obs, B = 2 obs, etc.

       E |                            |
         |                            |
      50 +                            |
         |                            |
         |                            |
         |                            |                       A
      25 +                            |         A  B    A
         |                            |     A A
         |                            |
         |                            |   A
       0 +--------------------------AA+AA--------------------------
         |                            |
         |                       B    |
         |                  A A       |
     -25 +                A           |
         |             A              |
         |    A     A                 |
         |                            |
     -50 +                            |
         |                            |
         ---+------------+------------+------------+------------+--
           -2           -1            0            1            2

                             RANK FOR VARIABLE E