Chapter 11 : SEX BSAL scores for 1982
Data Listing

Obs SEX BSAL SAL77 SENIOR AGE EDUC EXPER subject female
1 MALE 5040 12420.00 96 329 15 14.00 1 0
2 MALE 6300 12060.00 82 357 15 72.00 2 0
3 MALE 6000 15120.00 67 315 15 35.50 3 0
4 MALE 6000 16320.00 97 354 12 24.00 4 0
5 MALE 6000 12300.00 66 351 12 56.00 5 0
6 MALE 6840 10380.00 92 374 15 41.50 6 0
7 MALE 8100 13980.00 66 369 16 54.50 7 0
8 MALE 6000 10140.00 82 363 12 32.00 8 0
9 MALE 6000 12360.00 88 555 12 252.00 9 0
10 MALE 6900 10920.00 75 416 15 132.00 10 0
11 MALE 6900 10920.00 89 481 12 175.00 11 0
12 MALE 5400 12660.00 91 331 15 17.50 12 0
13 MALE 6000 12960.00 66 355 15 64.00 13 0
14 MALE 6000 12360.00 86 348 15 25.00 14 0
15 FEMALE 5100 8940.00 95 640 15 165.00 15 1
16 FEMALE 4800 8580.00 98 774 12 381.00 16 1
17 FEMALE 5280 8760.00 98 557 8 190.00 17 1
18 FEMALE 5280 8040.00 88 745 8 90.00 18 1
19 FEMALE 4800 9000.00 77 505 12 63.00 19 1
20 FEMALE 4800 8820.00 76 482 12 6.00 20 1
21 FEMALE 5400 13320.00 86 329 15 24.00 21 1
22 FEMALE 5520 9600.00 82 558 12 97.00 22 1
23 FEMALE 5400 8940.00 88 338 12 26.00 23 1
24 FEMALE 5700 9000.00 76 667 12 90.00 24 1
25 FEMALE 3900 8760.00 98 327 12 0.00 25 1
26 FEMALE 4800 9780.00 75 619 12 144.00 26 1
27 FEMALE 6120 9360.00 78 624 12 208.50 27 1
28 FEMALE 5220 7860.00 70 671 8 102.00 28 1
29 FEMALE 5100 9660.00 66 554 8 96.00 29 1
30 FEMALE 4380 9600.00 92 305 8 6.25 30 1
31 FEMALE 4290 9180.00 69 280 12 5.00 31 1
32 FEMALE 5400 9540.00 66 534 15 122.00 32 1
33 FEMALE 4380 10380.00 92 305 12 0.00 33 1
34 FEMALE 5400 8640.00 65 603 8 173.00 34 1
35 FEMALE 5400 11880.00 66 302 12 26.00 35 1
36 FEMALE 4500 12540.00 96 366 8 52.00 36 1
37 FEMALE 5400 8400.00 70 628 12 82.00 37 1
38 FEMALE 5520 8880.00 67 694 12 196.00 38 1
39 FEMALE 5640 10080.00 90 368 12 55.00 39 1
40 FEMALE 4800 9240.00 73 590 12 228.00 40 1
41 FEMALE 5400 8640.00 66 771 8 228.00 41 1
42 FEMALE 4500 7980.00 80 298 12 8.00 42 1
43 FEMALE 5400 11940.00 77 325 12 38.00 43 1
44 FEMALE 5400 9420.00 72 589 15 49.00 44 1
45 FEMALE 6300 9780.00 66 394 12 86.50 45 1
46 FEMALE 5160 10680.00 87 320 12 18.00 46 1
47 FEMALE 5100 11160.00 98 571 15 115.00 47 1
48 FEMALE 4800 8340.00 79 602 8 70.00 48 1
49 FEMALE 5400 9600.00 98 568 12 244.00 49 1
50 FEMALE 4020 9840.00 92 528 10 44.00 50 1
51 FEMALE 4980 8700.00 74 718 8 318.00 51 1
52 FEMALE 5280 9780.00 88 653 12 107.00 52 1
53 FEMALE 5700 8280.00 65 714 15 241.00 53 1
54 FEMALE 4800 8340.00 87 647 12 163.00 54 1
55 FEMALE 4800 13560.00 82 338 12 11.00 55 1
56 FEMALE 5700 10260.00 82 362 15 51.00 56 1
57 FEMALE 4380 9720.00 93 303 12 4.50 57 1
58 FEMALE 4380 10500.00 89 310 12 0.00 58 1
59 MALE 5400 10680.00 88 359 12 38.00 59 0
60 MALE 5400 11640.00 96 474 12 113.00 60 0
61 MALE 5100 7860.00 84 535 12 180.00 61 0
62 MALE 6600 11220.00 66 369 15 84.00 62 0
63 MALE 5100 8700.00 97 637 12 315.00 63 0
64 MALE 6600 12240.00 83 536 15 215.50 64 0
65 MALE 5700 11220.00 94 392 15 36.00 65 0
66 MALE 6000 12180.00 91 364 12 49.00 66 0
67 MALE 6000 11580.00 83 521 15 108.00 67 0
68 MALE 6000 8940.00 80 686 12 272.00 68 0
69 MALE 6000 10680.00 87 364 15 56.00 69 0
70 MALE 4620 11100.00 77 293 12 11.50 70 0
71 MALE 5220 10080.00 85 344 12 29.00 71 0
72 MALE 6600 15360.00 83 340 15 64.00 72 0
73 MALE 5400 12600.00 78 305 12 7.00 73 0
74 MALE 6000 8940.00 78 659 8 320.00 74 0
75 MALE 5400 9480.00 88 690 15 359.00 75 0
76 MALE 6000 14400.00 96 402 16 45.50 76 0
77 FEMALE 5700 10620.00 88 410 15 61.00 77 1
78 FEMALE 5400 10320.00 78 584 15 51.00 78 1
79 FEMALE 4440 9600.00 97 341 15 75.00 79 1
80 FEMALE 6300 10860.00 84 662 15 231.00 80 1
81 FEMALE 6000 9720.00 69 488 12 121.00 81 1
82 FEMALE 5100 9600.00 85 406 12 59.00 82 1
83 FEMALE 4800 11100.00 87 349 12 11.00 83 1
84 FEMALE 5100 10020.00 87 508 16 123.00 84 1
85 FEMALE 5700 9780.00 74 542 12 116.50 85 1
86 FEMALE 5400 10440.00 72 604 12 169.00 86 1
87 FEMALE 5100 10560.00 84 458 12 36.00 87 1
88 FEMALE 4800 9240.00 84 571 16 214.00 88 1
89 FEMALE 6000 11940.00 86 486 15 78.50 89 1
90 FEMALE 4380 10020.00 93 313 8 7.50 90 1
91 FEMALE 5580 7860.00 69 600 12 132.50 91 1
92 FEMALE 4620 9420.00 96 385 12 52.00 92 1
93 FEMALE 5220 8340.00 70 468 12 127.00 93 1


Chapter 11 : SEX BSAL scores for 1982
Fit of 1977 salary with REG - full model

The REG Procedure
Model: MODEL1
Dependent Variable: SAL77

Number of Observations Read 93
Number of Observations Used 93

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 6 162403170 27067195 17.60 <.0001
Error 86 132255772 1537858    
Corrected Total 92 294658942      

Root MSE 1240.10395 R-Square 0.5512
Dependent Mean 10393 Adj R-Sq 0.5198
Coeff Var 11.93222    

Parameter Estimates
Variable DF Parameter
Estimate
Standard
Error
t Value Pr > |t| Variance
Inflation
Intercept 1 5935.08412 2287.60010 2.59 0.0111 0
BSAL 1 0.82985 0.26167 3.17 0.0021 2.06252
SENIOR 1 20.58635 14.21208 1.45 0.1511 1.27069
AGE 1 -4.56707 1.76664 -2.59 0.0114 3.67054
EDUC 1 93.73034 65.31505 1.44 0.1549 1.32944
EXPER 1 -2.43748 2.57892 -0.95 0.3472 3.29098
female 1 -752.51920 373.44769 -2.02 0.0470 1.90344


Chapter 11 : SEX BSAL scores for 1982
Fit of 1977 salary with REG - full model

The REG Procedure
Model: MODEL1
Partial Regression Residual Plot

      ----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
SAL77 |                                                                                           |
 4000 +                                                                                           +
      |                     1                                                                     |
      |                                                  1              1                         |
      |                                                                                           |
      |                                          1                                                |
      |                                                                                           |
      |                            1                                                              |
 2000 +                                                                                           +
      |                             1          1                    11   1                        |
      |                 1                           1       1        1  1                         |
      |                                             1 1   1             1  1                      |
      |                                                                                      1    |
      |           1                1 1      1    111              1                               |
      |     1  1                 1       1           1  1 1                                       |
    0 +                 1             1  11          11    2                               1      +
      |            1                 1   1 1       111   11    1                                  |
      |                 1   2   1        111 1       1  2                                         |
      |             1 11  1               1  111   1    1  1     1                                |
      |                           11          1         1        1                                |
      |              1    1                      1                                                |
      |                                 1 1      1                    1                           |
-2000 +                                                              1                            +
      |                            1                                                              |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |     1                                                                                     |
      |                                                                                           |
-4000 +                                                                                           +
      |                                                                                           |
      ----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
        -0.12 -0.10 -0.08 -0.06 -0.04 -0.02 0.00  0.02  0.04  0.06  0.08  0.10  0.12  0.14  0.16   
                                                                                                   
                                                Intercept                                          


Chapter 11 : SEX BSAL scores for 1982
Fit of 1977 salary with REG - full model

The REG Procedure
Model: MODEL1
Partial Regression Residual Plot

      -+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-
 6000 +                                                                                           +
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |                                                           1                               |
 4000 +                                                                                           +
      |                                                                                           |
      |                                                                                           |
SAL77 |                                    1                      1                               |
      |                               1               1                                           |
      |                                                 1                                         |
 2000 +                                              1                                            +
      |                                              1                1 1                       1 |
      |                                        1 1 1      1                                       |
      |                                    1   1  1         1                                     |
      |                        1    2   1    1 1   1   1                                          |
      |                     1               11        1     11  1       1                         |
    0 +                      2      1       11    2       111   2 1      1         1              +
      |                             111 1      1 1 1  1 1                1 1                      |
      |                   1         1  111   1 1    1        1                                    |
      |     1         1              1 1  1  12       1            1                              |
      |                      1   1          1      1                                              |
      |              1             1              1     1        1                                |
-2000 +                     1                                                  1                  +
      |                                                                                           |
      |                           1                                                               |
      |                  1                                                                        |
      |                                                                                           |
      |                                                                                           |
-4000 +                                                                                           +
      -+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-
     -1400 -1200 -1000 -800  -600  -400  -200    0    200   400   600   800  1000  1200  1400  1600
                                                                                                   
                                                  BSAL                                             


Chapter 11 : SEX BSAL scores for 1982
Fit of 1977 salary with REG - full model

The REG Procedure
Model: MODEL1
Partial Regression Residual Plot

      -+---------+---------+---------+---------+---------+---------+---------+---------+---------+-
 6000 +                                                                                           +
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |                                                                                 1         |
 4000 +                                                                                           +
      |                                                                                           |
      |                                                                                           |
SAL77 |                                            1                            1                 |
      |               1                                        1                                  |
      |                                                                          1                |
 2000 +                                                         1                                 +
      |                                                           1                   1           |
      |                                   1                                1                      |
      |                    1            1 1      1                 1       1     1                |
      |             1            1    1 1                     31   1        2                     |
      |                 1       1                  1  1  1                 1              1       |
    0 +                            1            1  1       1 2  1 2     1                         +
      |                  11       1        1        1   11  1   2     1  1      1     1        1  |
      |                      1              2 1     1         1   1  11   1 1  1   1              |
      |                                    11        1      2                                     |
      |         1            1           1         1                  1                           |
      |                          1      1          1          1                                   |
-2000 +                                                   1             1                         +
      |                                   1    1                                      1           |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
-4000 +                                                                                           +
      -+---------+---------+---------+---------+---------+---------+---------+---------+---------+-
      -25       -20       -15       -10       -5         0         5        10        15        20 
                                                                                                   
                                                 SENIOR                                            


Chapter 11 : SEX BSAL scores for 1982
Fit of 1977 salary with REG - full model

The REG Procedure
Model: MODEL1
Partial Regression Residual Plot

      ------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
SAL77 |                                                                                           |
 4000 +                                                                                           +
      |                                         1                                                 |
      |                         1                                                                 |
      |                    1      1                                                               |
      |                           1                                                               |
      |                                                                                           |
      |                      1                                                                    |
 2000 +                         1                                                                 +
      |         1   1                                   1                                         |
      |                     1              1                                                      |
      |                     1      1                                                              |
      |                          111 1  1  1  11       1   1                                      |
      |                             1                     1     1                                 |
      |                 1  2   2  1  1          11 11                                             |
    0 +                   1           11   3          1                                           +
      |             1        111    21    1    1             1          2                         |
      |          1      1  2  1   11             1  11                                            |
      |                   1     11   1                    1 1     1                               |
      |                        1      1       1     1   1    1       1  1  1                      |
      |                                      1                       1                    1       |
      |                     1              1      1                                               |
-2000 +                  1                   1                                                    +
      |                                        1                                                  |
      |                                                                                           |
      |                                        1                                                  |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
-4000 +                                                                                           +
      |                                                                                           |
      ------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
          -150 -125 -100  -75  -50  -25   0   25   50   75   100  125  150  175  200  225  250     
                                                                                                   
                                                   AGE                                             


Chapter 11 : SEX BSAL scores for 1982
Fit of 1977 salary with REG - full model

The REG Procedure
Model: MODEL1
Partial Regression Residual Plot

      ------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+------
SAL77 |                                                                                           |
 4000 +                                                                                           +
      |                           1                                                               |
      |                                                                                           |
      |                                             1            1                                |
      |                                                                                           |
      |                                               1                                           |
      |             1                                              1                              |
 2000 +                                                            1                              +
      |                                                                                           |
      |                                   1            1                  1                       |
      |                                      1  1            1  1 2                               |
      |                       1              1  1          2 1               1                    |
      |                   1  1            1 1      2 1            1  1                            |
      |                                           1   1  1        1         1 1    1     1        |
    0 +                             1         1  1   11      1                1                   +
      |              1  1                    11  1  1     21     1           1  1                 |
      |                     1                1                              1                     |
      |        11    1  1  1                     1 111  11 11  1  1                               |
      |                                 2  1   1     1    1                                       |
      |                      1                1      1 1     1                                    |
      |                                                                                           |
-2000 +                               1                                                           +
      |                                    1         1 1                                          |
      |                                                                                           |
      |                                           1                                               |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
-4000 +                                                                                           +
      |                                                                                           |
      ------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+------
           -5      -4      -3      -2      -1       0       1       2       3       4       5      
                                                                                                   
                                                  EDUC                                             


Chapter 11 : SEX BSAL scores for 1982
Fit of 1977 salary with REG - full model

The REG Procedure
Model: MODEL1
Partial Regression Residual Plot

      ----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
SAL77 |                                                                                           |
 4000 +                                    1                                                      +
      |                                                                                           |
      |                                                                                           |
      |                                                    1                                      |
      |                                                    1                                      |
      |                                                     1    1                                |
      |                                                                                           |
 2000 +                                   1                    1                                  +
      |                                                                                           |
      |                                        1               1                1                 |
      |                             1               11       1        1 1                         |
      |                          1                 2  1             1                    1        |
      |                       1               21   1    1   1           1           1        1    |
      |                                    1         1   1                                        |
    0 +     1              1 1   1             2  1     11  21 1  1                               +
      |                         1               1   1       1 11     1          1     1   1       |
      |                          1 1               1       1  1    11   1                         |
      |                                   1      1           21 1      1             1            |
      |                                                         1111     1 1        1             |
      |                                           1  1  1           1     1                       |
      |                                        1     1                                            |
-2000 +                                                       1                                   +
      |                                                         1 1                               |
      |                                      1                                                    |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
-4000 +                                                                                           +
      |                                                                                           |
      ----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+----
        -160  -140  -120  -100   -80   -60   -40   -20    0    20    40    60    80    100   120   
                                                                                                   
                                                  EXPER                                            


Chapter 11 : SEX BSAL scores for 1982
Fit of 1977 salary with REG - full model

The REG Procedure
Model: MODEL1
Partial Regression Residual Plot

      ------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
 6000 +                                                                                           +
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
 4000 +                                      1                                                    +
      |                                                                                           |
      |                              1                                                            |
SAL77 |                                                           1                               |
      |                                                 1           1                             |
      |                                   1                                                       |
 2000 +                                      1                                                    +
      |                                                                          1                |
      |                     1       1     1       1             1                                 |
      |                     1  1 1 1                11       1     1       1                      |
      |        1                1                   1     1 1        1         1    1             |
      |                        1            1            11     1  1                   1          |
    0 +                                  1    1              1 1 2       1                        +
      |                              1         111    21  1    1 1  11 1              1           |
      |                       12    1             1  1  1       12            1 1 1               |
      |                    1                   1              1   1  1  2      1    1             |
      |                                    1            11          1                1 1          |
      |              1                 1                       1                          1       |
-2000 +                                                                                           +
      |                                                        1                  1               |
      |                                                    1                                      |
      |                                                                                           |
      |                                                                                           |
      |                                                                                           |
-4000 +                                                                                           +
      ------+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+------
          -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1  0.0  0.1  0.2  0.3  0.4  0.5  0.6  0.7     
                                                                                                   
                                                 female                                            


Chapter 11 : SEX BSAL scores for 1982
Forward selection stepwise regression

The REG Procedure
Model: MODEL1
Dependent Variable: SAL77

Number of Observations Read 93
Number of Observations Used 93


 


Forward Selection: Step 1


Variable AGE Entered: R-Square = 0.2989 and C(p) = 45.3271
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 1 88083034 88083034 38.80 <.0001
Error 91 206575907 2270065    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 13704 553.96836 1389105717 611.92 <.0001
AGE -6.97865 1.12033 88083034 38.80 <.0001


Bounds on condition number: 1, 1


 


Forward Selection: Step 2


Variable BSAL Entered: R-Square = 0.4936 and C(p) = 10.0372
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 2 145429509 72714754 43.85 <.0001
Error 90 149229433 1658105    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 7759.84733 1116.06993 80155904 48.34 <.0001
BSAL 1.11328 0.18930 57346475 34.59 <.0001
AGE -7.16965 0.95803 92863539 56.01 <.0001


Bounds on condition number: 1.0012, 4.0046


 


Forward Selection: Step 3


Variable female Entered: R-Square = 0.5227 and C(p) = 6.4585
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 3 154008713 51336238 32.48 <.0001
Error 89 140650229 1580340    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 9586.29902 1342.27043 80606921 51.01 <.0001
BSAL 0.80665 0.22688 19977335 12.64 0.0006
AGE -6.39191 0.99308 65470320 41.43 <.0001
female -813.21245 349.02436 8579204 5.43 0.0221


Bounds on condition number: 1.6179, 12.766


 


Forward Selection: Step 4


Variable EDUC Entered: R-Square = 0.5371 and C(p) = 5.6978
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 4 158254300 39563575 25.52 <.0001
Error 88 136404641 1550053    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 8770.78737 1417.73490 59324431 38.27 <.0001
BSAL 0.67223 0.23892 12270631 7.92 0.0060
AGE -6.00046 1.01156 54542373 35.19 <.0001
EDUC 107.17920 64.76120 4245587 2.74 0.1015
female -785.61744 346.06560 7988254 5.15 0.0256


Bounds on condition number: 1.706, 23.273


 


Forward Selection: Step 5


Variable SENIOR Entered: R-Square = 0.5465 and C(p) = 5.8933
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 5 161029372 32205874 20.97 <.0001
Error 87 133629570 1535972    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 6481.17913 2212.07442 13185357 8.58 0.0043
BSAL 0.81729 0.26117 15040863 9.79 0.0024
SENIOR 18.94899 14.09745 2775072 1.81 0.1824
AGE -5.93793 1.00803 53297637 34.70 <.0001
EDUC 93.41883 65.27416 3146079 2.05 0.1560
female -653.51286 358.23563 5111567 3.33 0.0715


Bounds on condition number: 2.0572, 37.943


 


Forward Selection: Step 6


Variable EXPER Entered: R-Square = 0.5512 and C(p) = 7.0000
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 6 162403170 27067195 17.60 <.0001
Error 86 132255772 1537858    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 5935.08412 2287.60010 10351654 6.73 0.0111
BSAL 0.82985 0.26167 15466820 10.06 0.0021
SENIOR 20.58635 14.21208 3226705 2.10 0.1511
AGE -4.56707 1.76664 10277663 6.68 0.0114
EDUC 93.73034 65.31505 3167014 2.06 0.1549
EXPER -2.43748 2.57892 1373798 0.89 0.3472
female -752.51920 373.44769 6244416 4.06 0.0470


Bounds on condition number: 3.6705, 81.166


 


All variables have been entered into the model.


 
 
 

Summary of Forward Selection
Step Variable
Entered
Number
Vars In
Partial
R-Square
Model
R-Square
C(p) F Value Pr > F
1 AGE 1 0.2989 0.2989 45.3271 38.80 <.0001
2 BSAL 2 0.1946 0.4936 10.0372 34.59 <.0001
3 female 3 0.0291 0.5227 6.4585 5.43 0.0221
4 EDUC 4 0.0144 0.5371 5.6978 2.74 0.1015
5 SENIOR 5 0.0094 0.5465 5.8933 1.81 0.1824
6 EXPER 6 0.0047 0.5512 7.0000 0.89 0.3472


Chapter 11 : SEX BSAL scores for 1982
Backward elimination stepwise regression

The REG Procedure
Model: MODEL1
Dependent Variable: SAL77

Number of Observations Read 93
Number of Observations Used 93


 


Backward Elimination: Step 0


All Variables Entered: R-Square = 0.5512 and C(p) = 7.0000
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 6 162403170 27067195 17.60 <.0001
Error 86 132255772 1537858    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 5935.08412 2287.60010 10351654 6.73 0.0111
BSAL 0.82985 0.26167 15466820 10.06 0.0021
SENIOR 20.58635 14.21208 3226705 2.10 0.1511
AGE -4.56707 1.76664 10277663 6.68 0.0114
EDUC 93.73034 65.31505 3167014 2.06 0.1549
EXPER -2.43748 2.57892 1373798 0.89 0.3472
female -752.51920 373.44769 6244416 4.06 0.0470


Bounds on condition number: 3.6705, 81.166


 


Backward Elimination: Step 1


Variable EXPER Removed: R-Square = 0.5465 and C(p) = 5.8933
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 5 161029372 32205874 20.97 <.0001
Error 87 133629570 1535972    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 6481.17913 2212.07442 13185357 8.58 0.0043
BSAL 0.81729 0.26117 15040863 9.79 0.0024
SENIOR 18.94899 14.09745 2775072 1.81 0.1824
AGE -5.93793 1.00803 53297637 34.70 <.0001
EDUC 93.41883 65.27416 3146079 2.05 0.1560
female -653.51286 358.23563 5111567 3.33 0.0715


Bounds on condition number: 2.0572, 37.943


 


Backward Elimination: Step 2


Variable SENIOR Removed: R-Square = 0.5371 and C(p) = 5.6978
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 4 158254300 39563575 25.52 <.0001
Error 88 136404641 1550053    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 8770.78737 1417.73490 59324431 38.27 <.0001
BSAL 0.67223 0.23892 12270631 7.92 0.0060
AGE -6.00046 1.01156 54542373 35.19 <.0001
EDUC 107.17920 64.76120 4245587 2.74 0.1015
female -785.61744 346.06560 7988254 5.15 0.0256


Bounds on condition number: 1.706, 23.273


 


Backward Elimination: Step 3


Variable EDUC Removed: R-Square = 0.5227 and C(p) = 6.4585
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 3 154008713 51336238 32.48 <.0001
Error 89 140650229 1580340    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 9586.29902 1342.27043 80606921 51.01 <.0001
BSAL 0.80665 0.22688 19977335 12.64 0.0006
AGE -6.39191 0.99308 65470320 41.43 <.0001
female -813.21245 349.02436 8579204 5.43 0.0221


Bounds on condition number: 1.6179, 12.766


 


All variables left in the model are significant at the 0.1000 level.


 
 
 

Summary of Backward Elimination
Step Variable
Removed
Number
Vars In
Partial
R-Square
Model
R-Square
C(p) F Value Pr > F
1 EXPER 5 0.0047 0.5465 5.8933 0.89 0.3472
2 SENIOR 4 0.0094 0.5371 5.6978 1.81 0.1824
3 EDUC 3 0.0144 0.5227 6.4585 2.74 0.1015


Chapter 11 : SEX BSAL scores for 1982
Stepwise regression

The REG Procedure
Model: MODEL1
Dependent Variable: SAL77

Number of Observations Read 93
Number of Observations Used 93


 


Stepwise Selection: Step 1


Variable AGE Entered: R-Square = 0.2989 and C(p) = 45.3271
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 1 88083034 88083034 38.80 <.0001
Error 91 206575907 2270065    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 13704 553.96836 1389105717 611.92 <.0001
AGE -6.97865 1.12033 88083034 38.80 <.0001


Bounds on condition number: 1, 1


 


Stepwise Selection: Step 2


Variable BSAL Entered: R-Square = 0.4936 and C(p) = 10.0372
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 2 145429509 72714754 43.85 <.0001
Error 90 149229433 1658105    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 7759.84733 1116.06993 80155904 48.34 <.0001
BSAL 1.11328 0.18930 57346475 34.59 <.0001
AGE -7.16965 0.95803 92863539 56.01 <.0001


Bounds on condition number: 1.0012, 4.0046


 


Stepwise Selection: Step 3


Variable female Entered: R-Square = 0.5227 and C(p) = 6.4585
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 3 154008713 51336238 32.48 <.0001
Error 89 140650229 1580340    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 9586.29902 1342.27043 80606921 51.01 <.0001
BSAL 0.80665 0.22688 19977335 12.64 0.0006
AGE -6.39191 0.99308 65470320 41.43 <.0001
female -813.21245 349.02436 8579204 5.43 0.0221


Bounds on condition number: 1.6179, 12.766


 


Stepwise Selection: Step 4


Variable EDUC Entered: R-Square = 0.5371 and C(p) = 5.6978
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 4 158254300 39563575 25.52 <.0001
Error 88 136404641 1550053    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 8770.78737 1417.73490 59324431 38.27 <.0001
BSAL 0.67223 0.23892 12270631 7.92 0.0060
AGE -6.00046 1.01156 54542373 35.19 <.0001
EDUC 107.17920 64.76120 4245587 2.74 0.1015
female -785.61744 346.06560 7988254 5.15 0.0256


Bounds on condition number: 1.706, 23.273


 


Stepwise Selection: Step 5


Variable EDUC Removed: R-Square = 0.5227 and C(p) = 6.4585
 
 
 
 

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 3 154008713 51336238 32.48 <.0001
Error 89 140650229 1580340    
Corrected Total 92 294658942      

Variable Parameter
Estimate
Standard
Error
Type II SS F Value Pr > F
Intercept 9586.29902 1342.27043 80606921 51.01 <.0001
BSAL 0.80665 0.22688 19977335 12.64 0.0006
AGE -6.39191 0.99308 65470320 41.43 <.0001
female -813.21245 349.02436 8579204 5.43 0.0221


Bounds on condition number: 1.6179, 12.766


 


All variables left in the model are significant at the 0.0500 level.


The stepwise method terminated because the next variable to be entered was just removed.


 
 
 

Summary of Stepwise Selection
Step Variable
Entered
Variable
Removed
Number
Vars In
Partial
R-Square
Model
R-Square
C(p) F Value Pr > F
1 AGE   1 0.2989 0.2989 45.3271 38.80 <.0001
2 BSAL   2 0.1946 0.4936 10.0372 34.59 <.0001
3 female   3 0.0291 0.5227 6.4585 5.43 0.0221
4 EDUC   4 0.0144 0.5371 5.6978 2.74 0.1015
5   EDUC 3 0.0144 0.5227 6.4585 2.74 0.1015


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics

The REG Procedure
Model: MODEL1
Dependent Variable: SAL77

Number of Observations Read 93
Number of Observations Used 93

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 3 154008713 51336238 32.48 <.0001
Error 89 140650229 1580340    
Corrected Total 92 294658942      

Root MSE 1257.11561 R-Square 0.5227
Dependent Mean 10393 Adj R-Sq 0.5066
Coeff Var 12.09590    

Parameter Estimates
Variable DF Parameter
Estimate
Standard
Error
t Value Pr > |t| Variance
Inflation
Intercept 1 9586.29902 1342.27043 7.14 <.0001 0
BSAL 1 0.80665 0.22688 3.56 0.0006 1.50881
AGE 1 -6.39191 0.99308 -6.44 <.0001 1.12867
female 1 -813.21245 349.02436 -2.33 0.0221 1.61792


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics
Listing of regression diagnostic variables

Obs SEX BSAL yhat resid student rstudent cookd leverage dffits
1 MALE 5040 11548.88 871.12 0.71426 0.71228 0.00796 0.05878 0.17799
2 MALE 6300 12386.29 -326.29 -0.26482 -0.26343 0.00072 0.03933 -0.05330
3 MALE 6000 12412.76 2707.24 2.19682 2.24620 0.04899 0.03902 0.45263
4 MALE 6000 12163.47 4156.53 3.36506 3.58170 0.10133 0.03456 0.67765
5 MALE 6000 12182.65 117.35 0.09502 0.09449 0.00008 0.03483 0.01795
6 MALE 6840 12713.22 -2333.22 -1.91534 -1.94506 0.05957 0.06099 -0.49573
7 MALE 8100 13761.56 218.44 0.19309 0.19204 0.00219 0.19016 0.09306
8 MALE 6000 12105.94 -1965.94 -1.59097 -1.60499 0.02214 0.03380 -0.30018
9 MALE 6000 10878.70 1481.30 1.20368 1.20676 0.01575 0.04166 0.25162
10 MALE 6900 12493.16 -1573.16 -1.29123 -1.29615 0.02695 0.06074 -0.32960
11 MALE 6900 12077.68 -1157.68 -0.94927 -0.94873 0.01409 0.05886 -0.23727
12 MALE 5400 11826.49 833.51 0.67794 0.67586 0.00522 0.04348 0.14411
13 MALE 6000 12157.08 802.92 0.65000 0.64788 0.00377 0.03447 0.12241
14 MALE 6000 12201.82 158.18 0.12810 0.12739 0.00015 0.03512 0.02430
15 FEMALE 5100 8796.19 143.81 0.11609 0.11544 0.00010 0.02887 0.01990
16 FEMALE 4800 7697.67 882.33 0.72879 0.72686 0.01038 0.07253 0.20327
17 FEMALE 5280 9471.91 -711.91 -0.57162 -0.56945 0.00154 0.01851 -0.07820
18 FEMALE 5280 8270.23 -230.23 -0.18811 -0.18708 0.00049 0.05207 -0.04385
19 FEMALE 4800 9417.10 -417.10 -0.33520 -0.33352 0.00058 0.02023 -0.04793
20 FEMALE 4800 9564.11 -744.11 -0.59792 -0.59574 0.00182 0.01995 -0.08500
21 FEMALE 5400 11026.07 2293.93 1.86226 1.88894 0.03600 0.03987 0.38492
22 FEMALE 5520 9659.12 -59.12 -0.04755 -0.04728 0.00001 0.02179 -0.00706
23 FEMALE 5400 10968.54 -2028.54 -1.64507 -1.66125 0.02661 0.03784 -0.32945
24 FEMALE 5700 9107.59 -107.59 -0.08726 -0.08677 0.00008 0.03800 -0.01725
25 FEMALE 3900 9828.87 -1068.87 -0.88247 -0.88136 0.01503 0.07167 -0.24489
26 FEMALE 4800 8688.42 1091.58 0.88227 0.88116 0.00630 0.03137 0.15857
27 FEMALE 6120 9721.24 -361.24 -0.29476 -0.29324 0.00113 0.04960 -0.06699
28 FEMALE 5220 8694.83 -834.83 -0.67561 -0.67353 0.00399 0.03381 -0.12599
29 FEMALE 5100 9345.89 314.11 0.25219 0.25086 0.00030 0.01834 0.03429
30 FEMALE 4380 10356.69 -756.69 -0.61747 -0.61531 0.00499 0.04972 -0.14074
31 FEMALE 4290 10443.89 -1263.88 -1.03614 -1.03657 0.01667 0.05849 -0.25835
32 FEMALE 5400 9715.72 -175.72 -0.14111 -0.14033 0.00010 0.01876 -0.01940
33 FEMALE 4380 10356.69 23.31 0.01902 0.01892 0.00000 0.04972 0.00433
34 FEMALE 5400 9274.68 -634.68 -0.51090 -0.50876 0.00157 0.02345 -0.07883
35 FEMALE 5400 11198.65 681.35 0.55507 0.55290 0.00376 0.04656 0.12218
36 FEMALE 4500 10063.58 2476.42 2.00596 2.04134 0.03714 0.03560 0.39223
37 FEMALE 5400 9114.88 -714.88 -0.57639 -0.57422 0.00227 0.02661 -0.09495
38 FEMALE 5520 8789.82 90.18 0.07321 0.07280 0.00006 0.03977 0.01482
39 FEMALE 5640 10970.38 -890.38 -0.72279 -0.72084 0.00541 0.03978 -0.14672
40 FEMALE 4800 8873.79 366.21 0.29533 0.29381 0.00061 0.02700 0.04894
41 FEMALE 5400 8200.84 439.16 0.36026 0.35849 0.00206 0.05972 0.09034
42 FEMALE 4500 10498.23 -2518.23 -2.05219 -2.09070 0.05215 0.04720 -0.46531
43 FEMALE 5400 11051.63 888.37 0.72154 0.71959 0.00554 0.04080 0.14841
44 FEMALE 5400 9364.17 55.83 0.04491 0.04466 0.00001 0.02201 0.00670
45 FEMALE 6300 11336.58 -1556.58 -1.28761 -1.29245 0.03373 0.07525 -0.36868
46 FEMALE 5160 10890.00 -210.00 -0.17023 -0.16930 0.00028 0.03706 -0.03321
47 FEMALE 5100 9237.23 1922.77 1.54479 1.55711 0.01198 0.01969 0.22066
48 FEMALE 4800 8797.08 -457.08 -0.36893 -0.36713 0.00100 0.02868 -0.06308
49 FEMALE 5400 9498.40 101.60 0.08166 0.08120 0.00003 0.02032 0.01170
50 FEMALE 4020 8640.90 1199.10 0.98359 0.98340 0.01531 0.05954 0.24744
51 FEMALE 4980 8200.82 499.18 0.40715 0.40523 0.00213 0.04882 0.09181
52 FEMALE 5280 8858.29 921.71 0.74450 0.74262 0.00431 0.03014 0.13091
53 FEMALE 5700 8807.17 -527.17 -0.42967 -0.42770 0.00230 0.04747 -0.09548
54 FEMALE 4800 8509.45 -169.45 -0.13733 -0.13657 0.00018 0.03659 -0.02661
55 FEMALE 4800 10484.55 3075.45 2.48809 2.56488 0.05315 0.03320 0.47533
56 FEMALE 5700 11057.13 -797.13 -0.64838 -0.64626 0.00479 0.04359 -0.13796
57 FEMALE 4380 10369.47 -649.47 -0.53009 -0.52794 0.00371 0.05011 -0.12126
58 FEMALE 4380 10324.73 175.27 0.14295 0.14216 0.00026 0.04875 0.03218
59 MALE 5400 11647.52 -967.52 -0.78620 -0.78450 0.00673 0.04171 -0.16366
60 MALE 5400 10912.45 727.55 0.59212 0.58995 0.00410 0.04467 0.12756
61 MALE 5100 10280.55 -2420.55 -1.99539 -2.03008 0.07360 0.06885 -0.55201
62 MALE 6600 12551.58 -1331.58 -1.08609 -1.08720 0.01514 0.04884 -0.24636
63 MALE 5100 9628.57 -928.57 -0.77645 -0.77470 0.01582 0.09498 -0.25097
64 MALE 6600 11484.13 755.87 0.61625 0.61409 0.00479 0.04801 0.13791
65 MALE 5700 11678.58 -458.58 -0.37106 -0.36926 0.00119 0.03352 -0.06877
66 MALE 6000 12099.55 80.45 0.06510 0.06474 0.00004 0.03372 0.01209
67 MALE 6000 11096.02 483.98 0.39230 0.39043 0.00147 0.03692 0.07644
68 MALE 6000 10041.36 -1101.36 -0.91015 -0.90927 0.01641 0.07344 -0.25598
69 MALE 6000 12099.55 -1419.55 -1.14875 -1.15084 0.01151 0.03372 -0.21498
70 MALE 4620 11440.20 -340.20 -0.28355 -0.28208 0.00197 0.08914 -0.08824
71 MALE 5220 11598.20 -1518.20 -1.23855 -1.24232 0.01985 0.04922 -0.28265
72 MALE 6600 12736.95 2623.05 2.14362 2.18880 0.06369 0.05253 0.51537
73 MALE 5400 11992.68 607.32 0.49462 0.49251 0.00295 0.04601 0.10816
74 MALE 6000 10213.94 -1273.94 -1.04809 -1.04868 0.01913 0.06513 -0.27681
75 MALE 5400 9531.80 -51.80 -0.04331 -0.04306 0.00005 0.09484 -0.01394
76 MALE 6000 11856.66 2543.34 2.05598 2.09474 0.03456 0.03167 0.37884
77 FEMALE 5700 10750.32 -130.32 -0.10553 -0.10494 0.00010 0.03501 -0.01999
78 FEMALE 5400 9396.13 923.87 0.74297 0.74108 0.00304 0.02156 0.11001
79 FEMALE 4440 10174.98 -574.98 -0.46710 -0.46504 0.00234 0.04121 -0.09641
80 FEMALE 6300 9623.54 1236.46 1.01703 1.01723 0.01790 0.06473 0.26760
81 FEMALE 6000 10493.74 -773.74 -0.62862 -0.62647 0.00426 0.04135 -0.13010
82 FEMALE 5100 10291.89 -691.89 -0.55649 -0.55432 0.00173 0.02182 -0.08280
83 FEMALE 4800 10414.24 685.76 0.55424 0.55207 0.00248 0.03128 0.09920
84 FEMALE 5100 9639.92 380.08 0.30487 0.30331 0.00039 0.01649 0.03928
85 FEMALE 5700 9906.58 -126.58 -0.10204 -0.10147 0.00007 0.02625 -0.01666
86 FEMALE 5400 9268.29 1171.71 0.94324 0.94265 0.00537 0.02356 0.14642
87 FEMALE 5100 9959.51 600.49 0.48190 0.47981 0.00103 0.01748 0.06400
88 FEMALE 4800 8995.23 244.77 0.19716 0.19609 0.00025 0.02470 0.03121
89 FEMALE 6000 10506.53 1433.47 1.16471 1.16707 0.01468 0.04149 0.24281
90 FEMALE 4380 10305.55 -285.55 -0.23283 -0.23158 0.00069 0.04819 -0.05211
91 FEMALE 5580 9439.05 -1579.05 -1.27282 -1.27733 0.01086 0.02611 -0.20916
92 FEMALE 4620 10038.93 -618.93 -0.49983 -0.49772 0.00191 0.02975 -0.08715
93 FEMALE 5220 9992.39 -1652.39 -1.32605 -1.33180 0.00781 0.01745 -0.17748


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics
Various plot of regression diagnostics with SEX indicator variable

                                            Plot of resid*yhat.  Symbol is value of SEX.                                            
                                                                                                                                    
       resid |                                                                                                                      
             |                                                                                                                      
        5000 +                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |                                                                               M                                      
        4000 +                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
        3000 +                                                      F                                                               
             |                                                                                   M                                  
             |                                                                           M            M                             
             |                                                F                                                                     
             |                                                              F                                                       
        2000 +                                    F                                                                                 
             |                                                                                                                      
             |                                                                                                                      
             |                                                       F    M                                                         
             |                           F        F    F                                                                            
        1000 +                           F  F       F                                                                               
             |            F                                                M F     MM   M    M                                      
             |                                              F      F           F           M                                        
             |                    F         F      F    F                    M                                                      
             |                             F  F      F            F                           M                      M              
           0 +-----------------------------F-------F--M-F---------F-------------------------M-------------------------------        
             |                     F   F        F        F  F     F     F F                                                         
             |                             F        F    F                         M  M          M                                  
             |                             F      F           F FF F                                                                
             |                           F      F    FF           F F       FF                                                      
       -1000 +                                         M  F                           M                                             
             |                                                M M   F                       M                                       
             |                                                                              M      M                                
             |                                       F       F                   F   M            M                                 
             |                                                                                                                      
       -2000 +                                                              F                M                                      
             |                                                                                                                      
             |                                                   M                                    M                             
             |                                                      F                                                               
             |                                                                                                                      
       -3000 +                                                                                                                      
             |                                                                                                                      
             ---+--------------+--------------+--------------+--------------+--------------+--------------+--------------+--        
              7000           8000           9000           10000          11000          12000          13000          14000        
                                                                                                                                    
                                                                   yhat                                                             
                                                                                                                                    
NOTE: 2 obs hidden.                                                                                                                 


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics
Various plot with SEX variable

                                         Plot of student*subject.  Symbol is value of SEX.                                          
                                                                                                                                    
         student |                                                                                                                  
                 |                                                                                                                  
               4 +                                                                                                                  
                 |                                                                                                                  
                 |      M                                                                                                           
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                         F                                                        
                 |     M                                                                    M                                       
               2 +-----------------------F--------------F---------------------------------------M--------------------------         
                 |                                                                                                                  
                 |                                                 F                                                                
                 |           M                                                                      F        F                      
                 |                  F         F                F      F F                         F       F                         
                 |   M          MM                     F                        M   M        M         F   F                        
                 |         M                     F          FF         F      F        M                F   F                       
               0 +       M        MF      F F       FF    F     F    F    F           M        M F       F                          
                 |    M               FF       F                  F F                M    M                   F                     
                 |                   F  F       F F   F  F               F  FF                     F FF         F                   
                 |             M             F             F                   M   M    M                                           
                 |                                 F                              M      M M  M                F                    
                 |            M                                  F                                               F                  
                 |          M              F                                                                                        
              -2 +--------M-----------------------------------F------------------M-----------------------------------------         
                 |                                                                                                                  
                 ---+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+--         
                    0        10        20        30        40        50        60        70        80        90        100          
                                                                                                                                    
                                                                   subject                                                          


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics
Various plot with SEX variable

                                         Plot of rstudent*subject.  Symbol is value of SEX.                                         
                                                                                                                                    
        rstudent |                                                                                                                  
                 |                                                                                                                  
               4 +                                                                                                                  
                 |      M                                                                                                           
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                         F                                                        
                 |     M                                                                    M                                       
               2 +-----------------------F--------------F---------------------------------------M--------------------------         
                 |                                                                                                                  
                 |                                                 F                                                                
                 |           M                                                                      F        F                      
                 |                  F         F                F      F F                         F       F                         
                 |   M          MM                     F                        M   M        M         F   F                        
                 |         M                     F          FF         F               M                F   F                       
               0 +       M        MF      F F       FF    F     F    F    F   F       M        M F       F                          
                 |    M               FF       F                  F F    F           M    M                   F                     
                 |                   F  F       F F   F  F                  FF                     F FF         F                   
                 |             M             F             F                   M   M    M                                           
                 |                                 F                              M      M M  M                F                    
                 |            M                                  F                                               F                  
                 |          M              F                                                                                        
              -2 +--------M-----------------------------------F------------------M-----------------------------------------         
                 |                                                                                                                  
                 ---+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+--         
                    0        10        20        30        40        50        60        70        80        90        100          
                                                                                                                                    
                                                                   subject                                                          


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics
Various plot with SEX variable

                                         Plot of leverage*subject.  Symbol is value of SEX.                                         
                                                                                                                                    
        leverage |                                                                                                                  
                 |                                                                                                                  
            0.20 +                                                                                                                  
                 |         M                                                                                                        
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
            0.15 +                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
            0.10 +                                                                                                                  
                 |                                                                 M      M    M                                    
                 |---------------------------------------------------------------------------------------------------------         
                 |                  F        F                   F                      M                                           
                 |                                                               M            M     F                               
                 |   M    M   MM                   F         F        F                                                             
            0.05 +                    F        F  F  F F      F        F F   FF   M M      MMM                F                     
                 |    MM     M  M        F FF             FF   F            F  MM                  F F       F                      
                 |      MM  M    MM           F F       F         F     F FF         MMM M      MF     F        F                   
                 |                 F      F           F  F  F   F   F                             F   F  FF F  F                    
                 |                   F FF        F  F              F F                                  F  F     F                  
                 |                                                                                                                  
            0.00 +                                                                                                                  
                 |                                                                                                                  
                 ---+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+--         
                    0        10        20        30        40        50        60        70        80        90        100          
                                                                                                                                    
                                                                   subject                                                          


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics
Various plot with SEX variable

                                          Plot of cookd*subject.  Symbol is value of SEX.                                           
                                                                                                                                    
          cookd |                                                                                                                   
            1.0 +---------------------------------------------------------------------------------------------------------          
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
            0.8 +                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
            0.6 +                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
            0.4 +                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
            0.2 +                                                                                                                   
                |                                                                                                                   
                |      M                                                                                                            
                |                                                               M          M                                        
                |     M  M M M          F F            F     F  F         F                    M                                    
            0.0 +   MM  M M M MMMMFFFFFF F FFFFFFFFFFFF FFFFF FF FFFFFFFFF FFFMM MMMMMMMMMM MMM FFFFFFFFFFFFFFFFF                   
                |                                                                                                                   
                ---+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+--          
                   0        10        20        30        40        50        60        70        80        90        100           
                                                                                                                                    
                                                                  subject                                                           


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics
Various plot with SEX variable

                                          Plot of dffits*subject.  Symbol is value of SEX.                                          
                                                                                                                                    
         dffits |                                                                                                                   
                |                                                                                                                   
            1.0 +---------------------------------------------------------------------------------------------------------          
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |      M                                                                                                            
                |                                                                                                                   
            0.5 +                                                         F                M                                        
                |     M                 F              F                                       M                                    
                |                                                                                                                   
                |           M                                     F  F                             F        F                       
                |   M          M   F         F                F        F       M   M                     F                          
                |         M     M                     F    FF         F               M     M    F    F   F                         
            0.0 +       M        MF      F F    F  FF    F     F F  F    F   F       M        M F      FF  F                        
                |    M              FFFF      F      F  F          F    F   F       M    M        F  F       F F                    
                |                              F F        F                F  M                     F           F                   
                |             M             F     F                              MM    MM M  M                F                     
                |          M M            F                     F                                                                   
                |                                                                                                                   
           -0.5 +        M                                   F                                                                      
                |                                                               M                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
           -1.0 +---------------------------------------------------------------------------------------------------------          
                |                                                                                                                   
                ---+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+--          
                   0        10        20        30        40        50        60        70        80        90        100           
                                                                                                                                    
                                                                  subject                                                           


Chapter 11 : SEX BSAL scores for 1982
Reduced regression model with diagnostics
Residual analysis with PROC UNIVARIATE

The UNIVARIATE Procedure
Variable: resid

Moments
N 93 Sum Weights 93
Mean 0 Sum Observations 0
Std Deviation 1236.44928 Variance 1528806.83
Skewness 0.64757296 Kurtosis 0.97982719
Uncorrected SS 140650229 Corrected SS 140650229
Coeff Variation . Std Error Mean 128.213818

Basic Statistical Measures
Location Variability
Mean 0.000 Std Deviation 1236
Median -107.595 Variance 1528807
Mode . Range 6675
    Interquartile Range 1442

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 0 Pr > |t| 1.0000
Sign M -2.5 Pr >= |M| 0.6785
Signed Rank S -141.5 Pr >= |S| 0.5904

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.970438 Pr < W 0.0330
Kolmogorov-Smirnov D 0.076934 Pr > D >0.1500
Cramer-von Mises W-Sq 0.096056 Pr > W-Sq 0.1286
Anderson-Darling A-Sq 0.69063 Pr > A-Sq 0.0730

Quantiles (Definition 5)
Quantile Estimate
100% Max 4156.530
99% 4156.530
95% 2543.341
90% 1433.474
75% Q3 685.764
50% Median -107.595
25% Q1 -756.687
10% -1518.202
5% -1965.944
1% -2518.228
0% Min -2518.228

Extreme Observations
Lowest Highest
Value Obs Value Obs
-2518.23 42 2543.34 76
-2420.55 61 2623.05 72
-2333.22 6 2707.24 3
-2028.54 23 3075.45 55
-1965.94 8 4156.53 4

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                                          
      4 2                        1     0        4250+                                                  *                            
      3                                             |                                                                               
      3 1                        1     0            |                                              *   +                            
      2 5567                     4     |            |                                         * ** ++++                             
      2 3                        1     |            |                                        **++++                                 
      1 59                       2     |            |                                      +*++                                     
      1 12224                    5     |            |                                  ++***                                        
      0 556677788899999         15  +-----+      750+                              +*****                                           
      0 011111122223444         15  |  +  |         |                         +*****                                                
     -0 44333222211111          14  *-----*         |                     ******                                                    
     -0 99888877776666555       17  +-----+         |                ******                                                         
     -1 43332110                 8     |            |             ****                                                              
     -1 76665                    5     |            |         ****                                                                  
     -2 4300                     4     |            |    *+**+                                                                      
     -2 5                        1     |       -2750+*++++                                                                          
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+                            
    Multiply Stem.Leaf by 10**+3                         -2        -1         0        +1        +2                                 
                                                                                                                                    
                                                                                                                                    


Chapter 11 : SEX BSAL scores for 1982
Regression model with RSquare selection and graphics

The REG Procedure
Model: MODEL1
Dependent Variable: SAL77
 
R-Square Selection Method

Number of Observations Read 93
Number of Observations Used 93


 

Number in
Model
R-Square Adjusted
R-Square
C(p) AIC MSE SBC Variables in Model
1 0.2989 0.2912 45.3271 1363.0628 2270065 1368.12805 AGE
1 0.2748 0.2669 49.9469 1366.2076 2348139 1371.27281 female
1 0.1784 0.1694 68.4222 1377.8177 2660362 1382.88286 BSAL
1 0.1773 0.1682 68.6401 1377.9463 2664044 1383.01148 EDUC
1 0.1384 0.1289 76.0906 1382.2410 2789954 1387.30621 EXPER
1 0.0159 0.0051 99.5638 1394.6046 3186640 1399.66981 SENIOR
2 0.4936 0.4823 10.0372 1334.8208 1658105 1342.41863 BSAL AGE
2 0.4549 0.4428 17.4489 1341.6660 1784751 1349.26375 AGE female
2 0.4199 0.4070 24.1427 1347.4428 1899129 1355.04061 EXPER female
2 0.3924 0.3789 29.4187 1351.7560 1989282 1359.35378 AGE EDUC
2 0.3797 0.3659 31.8474 1353.6762 2030782 1361.27399 BSAL EXPER
2 0.3445 0.3299 38.5957 1358.8124 2146092 1366.41016 EDUC female
2 0.3103 0.2950 45.1506 1363.5436 2258097 1371.14143 AGE EXPER
2 0.3005 0.2849 47.0310 1364.8576 2290228 1372.45542 BSAL female
2 0.2996 0.2840 47.2022 1364.9764 2293154 1372.57416 SENIOR AGE
3 0.5227 0.5066 6.4585 1331.3144 1580340 1341.44481 BSAL AGE female
3 0.5184 0.5022 7.2772 1332.1431 1594485 1342.27355 BSAL SENIOR AGE
3 0.5100 0.4934 8.8922 1333.7568 1622392 1343.88716 BSAL AGE EDUC
3 0.4954 0.4784 11.6769 1336.4748 1670509 1346.60523 AGE EDUC female
3 0.4936 0.4765 12.0335 1336.8173 1676671 1346.94765 BSAL AGE EXPER
3 0.4758 0.4581 15.4480 1340.0336 1735671 1350.16397 BSAL EXPER female
3 0.4694 0.4515 16.6688 1341.1570 1756765 1351.28740 EDUC EXPER female
3 0.4574 0.4391 18.9572 1343.2271 1796308 1353.35750 AGE EXPER female
3 0.4549 0.4365 19.4442 1343.6618 1804723 1353.79219 SENIOR AGE female
4 0.5371 0.5160 5.6978 1330.4639 1550053 1343.12692 BSAL AGE EDUC female
4 0.5358 0.5147 5.9391 1330.7165 1554269 1343.37953 BSAL SENIOR AGE female
4 0.5291 0.5077 7.2171 1332.0434 1576604 1344.70644 BSAL SENIOR AGE EDUC
4 0.5255 0.5039 7.9204 1332.7656 1588894 1345.42862 BSAL AGE EXPER female
4 0.5192 0.4973 9.1268 1333.9915 1609977 1346.65448 BSAL SENIOR AGE EXPER
4 0.5100 0.4877 10.8922 1335.7567 1640827 1348.41971 BSAL AGE EDUC EXPER
4 0.4996 0.4768 12.8841 1337.7091 1675638 1350.37211 BSAL EDUC EXPER female
4 0.4995 0.4768 12.8914 1337.7161 1675765 1350.37911 BSAL SENIOR EXPER female
4 0.4986 0.4758 13.0778 1337.8967 1679022 1350.55974 AGE EDUC EXPER female
5 0.5465 0.5204 5.8933 1330.5524 1535972 1345.74798 BSAL SENIOR AGE EDUC female
5 0.5404 0.5140 7.0594 1331.7921 1556584 1346.98768 BSAL SENIOR AGE EXPER female
5 0.5402 0.5138 7.0982 1331.8331 1557270 1347.02866 BSAL AGE EDUC EXPER female
5 0.5300 0.5030 9.0605 1333.8818 1591956 1349.07739 BSAL SENIOR AGE EDUC EXPER
5 0.5163 0.4885 11.6831 1336.5514 1638315 1351.74695 BSAL SENIOR EDUC EXPER female
5 0.4987 0.4699 15.0574 1339.8770 1697961 1355.07259 SENIOR AGE EDUC EXPER female
6 0.5512 0.5198 7.0000 1331.5913 1537858 1349.31953 BSAL SENIOR AGE EDUC EXPER female

 



 


Chapter 11 : SEX BSAL scores for 1982
Regression model with RSquare selection and graphics
Listing of regression diagnostic variables

Obs _MODEL_ _TYPE_ _DEPVAR_ _RMSE_ Intercept BSAL SENIOR AGE EDUC EXPER female SAL77 _IN_ _P_ _EDF_ _MSE_ _RSQ_ _ADJRSQ_ _CP_ _AIC_ _SBC_
1 MODEL1 PARMS SAL77 1506.67 13703.56 . . -6.97865 . . . -1 1 2 91 2270064.92 0.29893 0.29123 45.3271 1363.06 1368.13
2 MODEL1 PARMS SAL77 1532.36 11681.25 . . . . . -1964.20 -1 1 2 91 2348138.91 0.27482 0.26685 49.9469 1366.21 1371.27
3 MODEL1 PARMS SAL77 1631.06 4618.89 1.06525 . . . . . -1 1 2 91 2660362.32 0.17840 0.16937 68.4222 1377.82 1382.88
4 MODEL1 PARMS SAL77 1632.19 6264.51 . . . 330.129 . . -1 1 2 91 2664044.21 0.17726 0.16822 68.6401 1377.95 1383.01
5 MODEL1 PARMS SAL77 1670.32 11131.68 . . . . -7.31989 . -1 1 2 91 2789954.28 0.13837 0.12891 76.0906 1382.24 1387.31
6 MODEL1 PARMS SAL77 1785.12 8584.28 . 21.9814 . . . . -1 1 2 91 3186640.29 0.01586 0.00505 99.5638 1394.60 1399.67
7 MODEL1 PARMS SAL77 1287.67 7759.85 1.11328 . -7.16965 . . . -1 2 3 90 1658104.81 0.49355 0.48230 10.0372 1334.82 1342.42
8 MODEL1 PARMS SAL77 1335.95 14060.60 . . -5.61168 . . -1533.02 -1 2 3 90 1784750.70 0.45487 0.44276 17.4489 1341.67 1349.26
9 MODEL1 PARMS SAL77 1378.09 12453.80 . . . . -7.49711 -1988.43 -1 2 3 90 1899129.25 0.41993 0.40704 24.1427 1347.44 1355.04
10 MODEL1 PARMS SAL77 1410.42 10198.69 . . -6.07648 246.044 . . -1 2 3 90 1989281.78 0.39240 0.37890 29.4187 1351.76 1359.35
11 MODEL1 PARMS SAL77 1425.06 4485.38 1.25662 . . . -8.95469 . -1 2 3 90 2030782.40 0.37972 0.36594 31.8474 1353.68 1361.27
12 MODEL1 PARMS SAL77 1464.95 8717.21 . . . 219.052 . -1621.60 -1 2 3 90 2146092.41 0.34450 0.32994 38.5957 1358.81 1366.41
13 MODEL1 PARMS SAL77 1502.70 14206.61 . . -8.77921 . 3.47908 . -1 2 3 90 2258097.39 0.31029 0.29496 45.1506 1363.54 1371.14
14 MODEL1 PARMS SAL77 1513.35 8798.36 0.48396 . . . . -1568.31 -1 2 3 90 2290228.32 0.30048 0.28493 47.0310 1364.86 1372.46
15 MODEL1 PARMS SAL77 1514.32 13301.58 . 4.5329 -6.91749 . . . -1 2 3 90 2293154.27 0.29958 0.28402 47.2022 1364.98 1372.57
16 MODEL1 PARMS SAL77 1257.12 9586.30 0.80665 . -6.39191 . . -813.21 -1 3 4 89 1580339.65 0.52267 0.50658 6.4585 1331.31 1341.44
17 MODEL1 PARMS SAL77 1262.73 4540.29 1.23138 29.1950 -6.79599 . . . -1 3 4 89 1594485.21 0.51840 0.50216 7.2772 1332.14 1342.27
18 MODEL1 PARMS SAL77 1273.73 6956.51 0.95888 . -6.72419 114.263 . . -1 3 4 89 1622392.08 0.50997 0.49345 8.8922 1333.76 1343.89
19 MODEL1 PARMS SAL77 1292.48 11597.26 . . -5.19916 169.122 . -1300.21 -1 3 4 89 1670508.68 0.49543 0.47842 11.6769 1336.47 1346.61
20 MODEL1 PARMS SAL77 1294.86 7795.42 1.11062 . -7.24581 . 0.14805 . -1 3 4 89 1676670.76 0.49357 0.47650 12.0335 1336.82 1346.95
21 MODEL1 PARMS SAL77 1317.45 8215.99 0.72686 . . . -8.38998 -1396.72 -1 3 4 89 1735671.17 0.47575 0.45808 15.4480 1340.03 1350.16
22 MODEL1 PARMS SAL77 1325.43 9889.62 . . . 185.712 -6.99956 -1696.36 -1 3 4 89 1756765.12 0.46938 0.45149 16.6688 1341.16 1351.29
23 MODEL1 PARMS SAL77 1340.26 13820.45 . . -4.60920 . -1.79430 -1615.85 -1 3 4 89 1796307.67 0.45744 0.43915 18.9572 1343.23 1353.36
24 MODEL1 PARMS SAL77 1343.40 13982.48 . 0.8783 -5.60072 . . -1532.02 -1 3 4 89 1804723.31 0.45489 0.43652 19.4442 1343.66 1353.79
25 MODEL1 PARMS SAL77 1245.01 8770.79 0.67223 . -6.00046 107.179 . -785.62 -1 4 5 88 1550052.74 0.53708 0.51603 5.6978 1330.46 1343.13
26 MODEL1 PARMS SAL77 1246.70 6792.16 0.95579 22.1133 -6.26028 . . -654.91 -1 4 5 88 1554268.73 0.53582 0.51472 5.9391 1330.72 1343.38
27 MODEL1 PARMS SAL77 1255.63 4233.05 1.09180 26.0045 -6.47136 93.744 . . -1 4 5 88 1576603.82 0.52915 0.50774 7.2171 1332.04 1344.71
28 MODEL1 PARMS SAL77 1260.51 9326.90 0.80812 . -5.34459 . -1.87712 -898.55 -1 4 5 88 1588894.26 0.52548 0.50391 7.9204 1332.77 1345.43
29 MODEL1 PARMS SAL77 1268.85 4191.59 1.25291 30.2656 -6.28847 . -0.95986 . -1 4 5 88 1609976.65 0.51918 0.49732 9.1268 1333.99 1346.65
30 MODEL1 PARMS SAL77 1280.95 6952.15 0.95917 . -6.71505 114.281 -0.01763 . -1 4 5 88 1640827.43 0.50997 0.48769 10.8922 1335.76 1348.42
31 MODEL1 PARMS SAL77 1294.46 7280.17 0.56484 . . 136.194 -7.82607 -1314.43 -1 4 5 88 1675638.38 0.49957 0.47682 12.8841 1337.71 1350.37
32 MODEL1 PARMS SAL77 1294.51 4493.39 0.93566 29.6327 . . -8.39139 -1163.73 -1 4 5 88 1675764.53 0.49953 0.47678 12.8914 1337.72 1350.38
33 MODEL1 PARMS SAL77 1295.77 11314.30 . . -4.08928 170.344 -1.98121 -1389.97 -1 4 5 88 1679022.44 0.49856 0.47577 13.0778 1337.90 1350.56
34 MODEL1 PARMS SAL77 1239.34 6481.18 0.81729 18.9490 -5.93793 93.419 . -653.51 -1 5 6 87 1535972.07 0.54649 0.52043 5.8933 1330.55 1345.75
35 MODEL1 PARMS SAL77 1247.63 6251.28 0.96872 23.7486 -4.90100 . -2.41881 -753.17 -1 5 6 87 1556583.75 0.54041 0.51400 7.0594 1331.79 1346.99
36 MODEL1 PARMS SAL77 1247.91 8487.59 0.67225 . -4.89009 108.399 -1.98214 -875.41 -1 5 6 87 1557269.86 0.54021 0.51378 7.0982 1331.83 1347.03
37 MODEL1 PARMS SAL77 1261.73 3876.62 1.11357 27.0924 -5.95279 93.889 -0.97982 . -1 5 6 87 1591956.18 0.52996 0.50295 9.0605 1333.88 1349.08
38 MODEL1 PARMS SAL77 1279.97 4250.36 0.76663 25.2241 . 115.971 -7.91100 -1128.32 -1 5 6 87 1638315.34 0.51628 0.48848 11.6831 1336.55 1351.75
39 MODEL1 PARMS SAL77 1303.06 11144.80 . 1.8464 -4.04347 170.331 -2.02203 -1389.77 -1 5 6 87 1697960.82 0.49867 0.46985 15.0574 1339.88 1355.07
40 MODEL1 PARMS SAL77 1240.10 5935.08 0.82985 20.5863 -4.56707 93.730 -2.43748 -752.52 -1 6 7 86 1537857.81 0.55116 0.51984 7.0000 1331.59 1349.32


Chapter 11 : SEX BSAL scores for 1982
Regression model with RSquare selection and graphics
Various plot with SEX variable

                                       Plot of _MSE_*_P_.  Legend: A = 1 obs, B = 2 obs, etc.                                       
                                                                                                                                    
           _MSE_ |                                                                                                                  
         3250000 +                                                                                                                  
                 |  A                                                                                                               
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
         3000000 +                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |  A                                                                                                               
         2750000 +                                                                                                                  
                 |                                                                                                                  
                 |  B                                                                                                               
                 |                                                                                                                  
                 |                                                                                                                  
         2500000 +                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |  A                                                                                                               
                 |                      B                                                                                           
         2250000 +  A                   A                                                                                           
                 |                                                                                                                  
                 |                      A                                                                                           
                 |                                                                                                                  
                 |                      A                                                                                           
         2000000 +                      A                                                                                           
                 |                                                                                                                  
                 |                      A                                                                                           
                 |                                                                                                                  
                 |                      A                   B                                                                       
         1750000 +                                          B                                                                       
                 |                                          A                   C                   A                               
                 |                      A                   A                   A                   A                               
                 |                                          C                   C                   A                               
                 |                                                              B                   C                   A           
         1500000 +                                                                                                                  
                 |                                                                                                                  
                 ---+-------------------+-------------------+-------------------+-------------------+-------------------+--         
                    2                   3                   4                   5                   6                   7           
                                                                                                                                    
                                                                     _P_                                                            


Chapter 11 : SEX BSAL scores for 1982
Regression model with RSquare selection and graphics
Various plot with SEX variable

                                       Plot of _RSQ_*_P_.  Legend: A = 1 obs, B = 2 obs, etc.                                       
                                                                                                                                    
          _RSQ_ |                                                                                                                   
            0.6 +                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                  A                   A            
                |                                                              D                   C                                
                |                                          C                   B                   A                                
            0.5 +                      A                   B                   C                   A                                
                |                                          A                                                                        
                |                                          A                                                                        
                |                      A                   B                                                                        
                |                                                                                                                   
                |                      A                                                                                            
            0.4 +                      A                                                                                            
                |                      A                                                                                            
                |                                                                                                                   
                |                      A                                                                                            
                |                                                                                                                   
                |                      A                                                                                            
            0.3 +  A                   B                                                                                            
                |                                                                                                                   
                |  A                                                                                                                
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
            0.2 +                                                                                                                   
                |  B                                                                                                                
                |                                                                                                                   
                |                                                                                                                   
                |  A                                                                                                                
                |                                                                                                                   
            0.1 +                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |  A                                                                                                                
            0.0 +                                                                                                                   
                ---+-------------------+-------------------+-------------------+-------------------+-------------------+--          
                   2                   3                   4                   5                   6                   7            
                                                                                                                                    
                                                                    _P_                                                             


Chapter 11 : SEX BSAL scores for 1982
Regression model with RSquare selection and graphics
Various plot with SEX variable

                                     Plot of _ADJRSQ_*_P_.  Legend: A = 1 obs, B = 2 obs, etc.                                      
                                                                                                                                    
        _ADJRSQ_ |                                                                                                                  
             0.6 +                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                              B                   C                   A           
             0.5 +                                          C                   C                   A                               
                 |                      A                   B                   D                   A                               
                 |                                                                                  A                               
                 |                      A                   B                                                                       
                 |                                          B                                                                       
                 |                                                                                                                  
             0.4 +                      A                                                                                           
                 |                      A                                                                                           
                 |                      A                                                                                           
                 |                                                                                                                  
                 |                      A                                                                                           
                 |                                                                                                                  
             0.3 +                      A                                                                                           
                 |  A                   B                                                                                           
                 |  A                                                                                                               
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
             0.2 +                                                                                                                  
                 |                                                                                                                  
                 |  B                                                                                                               
                 |                                                                                                                  
                 |  A                                                                                                               
                 |                                                                                                                  
             0.1 +                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
                 |                                                                                                                  
             0.0 +  A                                                                                                               
                 ---+-------------------+-------------------+-------------------+-------------------+-------------------+--         
                    2                   3                   4                   5                   6                   7           
                                                                                                                                    
                                                                     _P_                                                            


Chapter 11 : SEX BSAL scores for 1982
Regression model with RSquare selection and graphics
Various plot with SEX variable

                                       Plot of _CP_*_P_.  Legend: A = 1 obs, B = 2 obs, etc.                                        
                                                                                                                                    
        _CP_ |                                                                                                                      
         100 +  A                                                                                                                   
             |                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
          80 +                                                                                                                      
             |  A                                                                                                                   
             |                                                                                                                      
             |                                                                                                                      
             |  B                                                                                                                   
             |                                                                                                                      
             |                                                                                                                      
          60 +                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |                                                                                                                      
             |  A                    A                                                                                              
             |  A                    B                                                                                              
             |                                                                                                                      
          40 +                       A                                                                                              
             |                                                                                                                      
             |                                                                                                                      
             |                       A                                                                                              
             |                       A                                                                                              
             |                                                                                                                      
             |                       A                                                                                              
          20 +                                            B                                                                         
             |                       A                    A                                                                         
             |                                            A                    C                    A                               
             |                       A                    B                    A                    A                               
             |                                            B                    C                    A                               
             |                                            A                    B                    C                    A          
             |                                                                                                                      
           0 +                                                                                                                      
             |                                                                                                                      
             ---+--------------------+--------------------+--------------------+--------------------+--------------------+--        
                2                    3                    4                    5                    6                    7          
                                                                                                                                    
                                                                   _P_                                                              


Chapter 11 : SEX BSAL scores for 1982
Regression model with RSquare selection and graphics
Various plot with SEX variable

                                       Plot of _AIC_*_P_.  Legend: A = 1 obs, B = 2 obs, etc.                                       
                                                                                                                                    
          _AIC_ |                                                                                                                   
           1400 +                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |  A                                                                                                                
                |                                                                                                                   
           1390 +                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |  A                                                                                                                
           1380 +                                                                                                                   
                |  B                                                                                                                
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
           1370 +                                                                                                                   
                |                                                                                                                   
                |  A                                                                                                                
                |  A                   C                                                                                            
                |                                                                                                                   
           1360 +                                                                                                                   
                |                      A                                                                                            
                |                                                                                                                   
                |                      A                                                                                            
                |                      A                                                                                            
           1350 +                                                                                                                   
                |                      A                                                                                            
                |                                                                                                                   
                |                                          B                                                                        
                |                      A                   A                                                                        
           1340 +                                          A                                       A                                
                |                                                              C                                                    
                |                                          B                   A                   A                                
                |                      A                   A                   A                   A                                
                |                                          B                   B                   B                   A            
           1330 +                                                              B                   A                                
                |                                                                                                                   
                ---+-------------------+-------------------+-------------------+-------------------+-------------------+--          
                   2                   3                   4                   5                   6                   7            
                                                                                                                                    
                                                                    _P_                                                             


Chapter 11 : SEX BSAL scores for 1982
Regression model with RSquare selection and graphics
Various plot with SEX variable

                                       Plot of _SBC_*_P_.  Legend: A = 1 obs, B = 2 obs, etc.                                       
                                                                                                                                    
          _SBC_ |                                                                                                                   
           1400 +  A                                                                                                                
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
           1390 +                                                                                                                   
                |                                                                                                                   
                |  A                                                                                                                
                |                                                                                                                   
                |  B                                                                                                                
                |                                                                                                                   
           1380 +                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                                                                                                                   
                |                      A                                                                                            
                |  A                   B                                                                                            
           1370 +                                                                                                                   
                |  A                                                                                                                
                |                      A                                                                                            
                |                                                                                                                   
                |                                                                                                                   
                |                      A                                                                                            
           1360 +                      A                                                                                            
                |                                                                                                                   
                |                                                                                                                   
                |                      A                                                           A                                
                |                                          B                                                                        
                |                                          A                                       A                                
           1350 +                      A                   A                   C                                       A            
                |                                                              A                   A                                
                |                                          B                   A                   B                                
                |                                                              B                   A                                
                |                                          A                   B                                                    
                |                      A                   B                                                                        
           1340 +                                                                                                                   
                ---+-------------------+-------------------+-------------------+-------------------+-------------------+--          
                   2                   3                   4                   5                   6                   7            
                                                                                                                                    
                                                                    _P_