Output from fitness3.sas

 Source
0 Graphs 
                  Various selection methods for Fitness data                 1
                              R Square Analysis

  N = 31     Regression Models for Dependent Variable: OXY


Number in   R-square       C(p) Variables in Model
  Model

      1   0.74338010   13.69884 RUNTIME
      1   0.15948531  106.30211 RSTPULSE
      1   0.15838344  106.47686 RUNPULSE
      1   0.09277653  116.88184 AGE
      1   0.05604592  122.70716 MAXPULSE
      1   0.02648849  127.39485 WEIGHT
 -------------------------------------
      2   0.76424693   12.38945 AGE RUNTIME
      2   0.76142381   12.83718 RUNTIME RUNPULSE
      2   0.74522106   15.40687 RUNTIME MAXPULSE
      2   0.74493479   15.45227 WEIGHT RUNTIME
      2   0.74353296   15.67460 RUNTIME RSTPULSE
      2   0.37599543   73.96451 AGE RUNPULSE
 -------------------------------------------
      3   0.81109446    6.95963 AGE RUNTIME RUNPULSE
      3   0.80998844    7.13504 RUNTIME RUNPULSE MAXPULSE
      3   0.78173017   11.61668 AGE RUNTIME MAXPULSE
      3   0.77083060   13.34531 AGE WEIGHT RUNTIME
      3   0.76734943   13.89741 AGE RUNTIME RSTPULSE
      3   0.76189848   14.76190 RUNTIME RUNPULSE RSTPULSE
 --------------------------------------------------------
      4   0.83681815    4.87996 AGE RUNTIME RUNPULSE MAXPULSE
      4   0.81649255    8.10351 AGE WEIGHT RUNTIME RUNPULSE
      4   0.81584902    8.20557 WEIGHT RUNTIME RUNPULSE MAXPULSE
      4   0.81167015    8.86832 AGE RUNTIME RUNPULSE RSTPULSE
      4   0.81040041    9.06970 RUNTIME RUNPULSE MAXPULSE RSTPULSE
      4   0.78622430   12.90393 AGE WEIGHT RUNTIME MAXPULSE
 ----------------------------------------------------------
      5   0.84800181    5.10628 AGE WEIGHT RUNTIME RUNPULSE MAXPULSE
      5   0.83703132    6.84615 AGE RUNTIME RUNPULSE MAXPULSE RSTPULSE
      5   0.81755611    9.93484 AGE WEIGHT RUNTIME RUNPULSE RSTPULSE
      5   0.81608280   10.16850 WEIGHT RUNTIME RUNPULSE MAXPULSE RSTPULSE
      5   0.78870109   14.51112 AGE WEIGHT RUNTIME MAXPULSE RSTPULSE
      5   0.55406593   51.72328 AGE WEIGHT RUNPULSE MAXPULSE RSTPULSE
 --------------------------------------------------------------------
      6   0.84867192    7.00000 AGE WEIGHT RUNTIME RUNPULSE MAXPULSE RSTPULSE
 ----------------------------------------------------------------------------
                  Various selection methods for Fitness data                 2
                              Forward Selection

         Forward Selection Procedure for Dependent Variable OXY
                       Statistics for Entry: Step 1
                                 DF = 1,29

                                     Model
           Variable    Tolerance      R**2            F      Prob>F

           AGE          1.000000    0.0928       2.9657      0.0957
           WEIGHT       1.000000    0.0265       0.7891      0.3817
           RUNTIME      1.000000    0.7434      84.0076      0.0001
           RUNPULSE     1.000000    0.1584       5.4575      0.0266
           MAXPULSE     1.000000    0.0560       1.7218      0.1997
           RSTPULSE     1.000000    0.1595       5.5027      0.0260

Step 1   Variable RUNTIME Entered   R-square = 0.74338010   C(p) = 13.69884048

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       1           632.90009985     632.90009985      84.01   0.0001
Error           29           218.48144499       7.53384293
Total           30           851.38154484

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
INTERCEP      82.42177268      3.85530378    3443.36654076     457.05   0.0001
RUNTIME       -3.31055536      0.36119485     632.90009985      84.01   0.0001

Bounds on condition number:            1,            1
------------------------------------------------------------------------------

                       Statistics for Entry: Step 2
                                 DF = 1,28

                                     Model
           Variable    Tolerance      R**2            F      Prob>F

           AGE          0.964375    0.7642       2.4783      0.1267
           WEIGHT       0.979406    0.7449       0.1707      0.6827
           RUNPULSE     0.901625    0.7614       2.1177      0.1567
           MAXPULSE     0.948877    0.7452       0.2023      0.6563
           RSTPULSE     0.797156    0.7435       0.0167      0.8981

Step 2   Variable AGE Entered       R-square = 0.76424693   C(p) = 12.38944895

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       2           650.66573237     325.33286618      45.38   0.0001
Error           28           200.71581247       7.16842187
Total           30           851.38154484

                  Various selection methods for Fitness data                 3
                              Forward Selection

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
INTERCEP      88.46228749      5.37263885    1943.41070877     271.11   0.0001
AGE           -0.15036567      0.09551468      17.76563252       2.48   0.1267
RUNTIME       -3.20395056      0.35877488     571.67750579      79.75   0.0001

Bounds on condition number:     1.036941,     4.147763
------------------------------------------------------------------------------

                       Statistics for Entry: Step 3
                                 DF = 1,27

                                     Model
           Variable    Tolerance      R**2            F      Prob>F

           WEIGHT       0.908971    0.7708       0.7757      0.3862
           RUNPULSE     0.738136    0.8111       6.6959      0.0154
           MAXPULSE     0.714334    0.7817       2.1627      0.1530
           RSTPULSE     0.732809    0.7673       0.3601      0.5535

Step 3   Variable RUNPULSE Entered  R-square = 0.81109446   C(p) =  6.95962673

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       3           690.55085627     230.18361876      38.64   0.0001
Error           27           160.83068857       5.95669217
Total           30           851.38154484

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
INTERCEP     111.71806443     10.23508836     709.69013814     119.14   0.0001
AGE           -0.25639826      0.09622892      42.28867438       7.10   0.0129
RUNTIME       -2.82537867      0.35828041     370.43528607      62.19   0.0001
RUNPULSE      -0.13090870      0.05059011      39.88512390       6.70   0.0154

Bounds on condition number:     1.354763,     11.59745
------------------------------------------------------------------------------

                       Statistics for Entry: Step 4
                                 DF = 1,26

                                     Model
           Variable    Tolerance      R**2            F      Prob>F

           WEIGHT       0.907816    0.8165       0.7648      0.3898
           MAXPULSE     0.118790    0.8368       4.0986      0.0533
           RSTPULSE     0.716821    0.8117       0.0795      0.7802
                  Various selection methods for Fitness data                 4
                              Forward Selection

Step 4   Variable MAXPULSE Entered  R-square = 0.83681815   C(p) =  4.87995808

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       4           712.45152692     178.11288173      33.33   0.0001
Error           26           138.93001792       5.34346223
Total           30           851.38154484

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
INTERCEP      98.14788797     11.78569002     370.57373243      69.35   0.0001
AGE           -0.19773470      0.09563662      22.84231496       4.27   0.0488
RUNTIME       -2.76757879      0.34053642     352.93569605      66.05   0.0001
RUNPULSE      -0.34810795      0.11749917      46.90088674       8.78   0.0064
MAXPULSE       0.27051297      0.13361978      21.90067065       4.10   0.0533

Bounds on condition number:       8.4182,     76.85135
------------------------------------------------------------------------------

                       Statistics for Entry: Step 5
                                 DF = 1,25

                                     Model
           Variable    Tolerance      R**2            F      Prob>F

           WEIGHT       0.875270    0.8480       1.8394      0.1871
           RSTPULSE     0.714349    0.8370       0.0327      0.8580

Step 5   Variable WEIGHT Entered    R-square = 0.84800181   C(p) =  5.10627546

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       5           721.97309402     144.39461880      27.90   0.0001
Error           25           129.40845082       5.17633803
Total           30           851.38154484

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
INTERCEP     102.20427520     11.97928972     376.78934930      72.79   0.0001
AGE           -0.21962138      0.09550245      27.37429100       5.29   0.0301
WEIGHT        -0.07230234      0.05331009       9.52156710       1.84   0.1871
RUNTIME       -2.68252297      0.34098544     320.35967836      61.89   0.0001
RUNPULSE      -0.37340085      0.11714109      52.59623720      10.16   0.0038
MAXPULSE       0.30490783      0.13393642      26.82640270       5.18   0.0316

Bounds on condition number:     8.731225,     104.8254
------------------------------------------------------------------------------
                  Various selection methods for Fitness data                 5
                              Forward Selection

                       Statistics for Entry: Step 6
                                 DF = 1,24

                                     Model
           Variable    Tolerance      R**2            F      Prob>F

           RSTPULSE     0.706420    0.8487       0.1063      0.7473

No other variable met the 0.5000 significance level for entry into the model.

    Summary of Forward Selection Procedure for Dependent Variable OXY

        Variable   Number   Partial     Model
Step    Entered        In      R**2      R**2        C(p)           F   Prob>F
   1    RUNTIME         1    0.7434    0.7434     13.6988     84.0076   0.0001
   2    AGE             2    0.0209    0.7642     12.3894      2.4783   0.1267
   3    RUNPULSE        3    0.0468    0.8111      6.9596      6.6959   0.0154
   4    MAXPULSE        4    0.0257    0.8368      4.8800      4.0986   0.0533
   5    WEIGHT          5    0.0112    0.8480      5.1063      1.8394   0.1871
                  Various selection methods for Fitness data                 6
                              Stepwise Analysis

              Stepwise Procedure for Dependent Variable OXY
The first 2 variables are forced into the model because of the INCLUDE=
option.

Step 0  The First  2 Vars Entered   R-square = 0.15063534   C(p) =109.70567678

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       2           128.24814438      64.12407219       2.48   0.1017
Error           28           723.13340046      25.82619287
Total           30           851.38154484

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
INTERCEP      77.29049413     13.85462884     803.75329459      31.12   0.0001
AGE           -0.37041610      0.18310074     105.69633373       4.09   0.0527
WEIGHT        -0.15823204      0.11457181      49.25991780       1.91   0.1782

Bounds on condition number:     1.057687,     4.230747
------------------------------------------------------------------------------

Step 1   Variable RUNTIME Entered   R-square = 0.77083060   C(p) = 13.34530613

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       3           656.27094936     218.75698312      30.27   0.0001
Error           27           195.11059548       7.22631835
Total           30           851.38154484

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
INTERCEP      93.12615008      7.55915630    1096.76539223     151.77   0.0001
AGE           -0.17387679      0.09954587      22.04722118       3.05   0.0921
WEIGHT        -0.05443652      0.06180913       5.60521700       0.78   0.3862
RUNTIME       -3.14038657      0.36737984     528.02280498      73.07   0.0001

Bounds on condition number:     1.117292,     9.888012
------------------------------------------------------------------------------

Step 2   Variable RUNPULSE Entered  R-square = 0.81649255   C(p) =  8.10351211

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       4           695.14669132     173.78667283      28.92   0.0001
Error           26           156.23485352       6.00903283
Total           30           851.38154484

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
                  Various selection methods for Fitness data                 7
                              Stepwise Analysis

INTERCEP     115.66229667     11.22578205     637.90350440     106.16   0.0001
AGE           -0.27641726      0.09932454      46.53950756       7.74   0.0099
WEIGHT        -0.04932333      0.05639914       4.59583505       0.76   0.3898
RUNTIME       -2.77236856      0.36492045     346.82476452      57.72   0.0001
RUNPULSE      -0.12932379      0.05084420      38.87574195       6.47   0.0173

Bounds on condition number:     1.356487,     20.30177
------------------------------------------------------------------------------

Step 3   Variable MAXPULSE Entered  R-square = 0.84800181   C(p) =  5.10627546

                DF         Sum of Squares      Mean Square          F   Prob>F
Regression       5           721.97309402     144.39461880      27.90   0.0001
Error           25           129.40845082       5.17633803
Total           30           851.38154484

                Parameter        Standard          Type II
Variable         Estimate           Error   Sum of Squares          F   Prob>F
INTERCEP     102.20427520     11.97928972     376.78934930      72.79   0.0001
AGE           -0.21962138      0.09550245      27.37429100       5.29   0.0301
WEIGHT        -0.07230234      0.05331009       9.52156710       1.84   0.1871
RUNTIME       -2.68252297      0.34098544     320.35967836      61.89   0.0001
RUNPULSE      -0.37340085      0.11714109      52.59623720      10.16   0.0038
MAXPULSE       0.30490783      0.13393642      26.82640270       5.18   0.0316

Bounds on condition number:     8.731225,     104.8254
------------------------------------------------------------------------------

All variables left in the model are required or significant at the 0.1500
level.
No other variable met the 0.1500 significance level for entry into the model.

        Summary of Stepwise Procedure for Dependent Variable OXY

       Variable        Number   Partial    Model
Step   Entered Removed     In      R**2     R**2      C(p)          F   Prob>F
   1   RUNTIME              3    0.6202   0.7708   13.3453    73.0694   0.0001
   2   RUNPULSE             4    0.0457   0.8165    8.1035     6.4696   0.0173
   3   MAXPULSE             5    0.0315   0.8480    5.1063     5.1825   0.0316