TITLE 'CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY'.
DATA LIST FIXED REC=1
  / BACTERIA 1-3  TIME 5-6.
BEGIN DATA
355 01
211 02
197 03
166 04
142 05
106 06
104 07
060 08
056 09
038 10
036 11
032 12
021 13
019 14
015 15
END DATA
COMPUTE LNBAC=LN(BACTERIA).
FREQUENCIES VARIABLES=BACTERIA LNBAC
  /FORMAT=NOTABLE
  /HISTOGRAM.
PLOT TITLE='PLOT OF SURVIVING BACTERIA AGAINST TIME'
  /PLOT = BACTERIA WITH TIME.
PLOT TITLE='PLOT OF LN Bacteria against time' 
  /PLOT = LNBAC WITH TIME.
Regression var=bacteria,time/dep=bacteria/enter.
regression var=lnbac,time/dep=lnbac/enter.
  


10 Dec 97 SPSS for Unix, Release 5.0 (IBM RS/6000)                        Page 1
11:25:25  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


For IBM AIX 3.2.        sigma.oac.ucla.edu                      SPSS ID 265665

-> TITLE 'CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY'.
-> DATA LIST FIXED REC=1
->   / BACTERIA 1-3  TIME 5-6.

This command will read 1 records from the command file

Variable   Rec   Start     End         Format

BACTERIA     1       1       3         F3.0
TIME         1       5       6         F2.0

-> BEGIN DATA
-> 355 01
-> 211 02
-> 197 03
-> 166 04
-> 142 05
-> 106 06
-> 104 07
-> 060 08
-> 056 09
-> 038 10
-> 036 11
-> 032 12
-> 021 13
-> 019 14
-> 015 15
-> END DATA

Preceding task required .00 seconds CPU time;  .06 seconds elapsed.

-> COMPUTE LNBAC=LN(BACTERIA).
-> FREQUENCIES VARIABLES=BACTERIA LNBAC
->   /FORMAT=NOTABLE
->   /HISTOGRAM.

There are 523,784 bytes of memory available.
The largest contiguous area has 523,784 bytes.

Memory allows a total of 18,706 values accumulated across all variables.
There may be up to 2,338 value labels for each variable.
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY              Page 2
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


BACTERIA

    Count   Midpoint    One symbol equals approximately   .20 occurrences

        6          0 |******************************
        5        100 |*************************
        3        200 |***************
        0        300 |
        1        355 |*****
                     +----+----+----+----+----+----+----+----+----+----+
                     0         2         4         6         8        10
                               Histogram frequency

Valid cases      15      Missing cases      0

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

LNBAC

    Count   Midpoint    One symbol equals approximately   .20 occurrences

        4          3 |********************
        4          4 |********************
        6          5 |******************************
        1          6 |*****
                     +----+----+----+----+----+----+----+----+----+----+
                     0         2         4         6         8        10
                               Histogram frequency

Valid cases      15      Missing cases      0
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY              Page 3
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .03 seconds CPU time;  .11 seconds elapsed.

-> PLOT TITLE='PLOT OF SURVIVING BACTERIA AGAINST TIME'
->   /PLOT = BACTERIA WITH TIME.

There are 523,056 bytes of memory available.
The largest contiguous area has 523,056 bytes.

PLOT requires 14992 bytes of workspace for execution.
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY              Page 4
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


* * * * * * * * * * * * * * * * *  P  L  O  T  * * * * * * * * * * * * * * * * *

Data   Information

         15 unweighted cases accepted.

Size of the plots

   Horizontal size is 65
     Vertical size is 40

Frequencies and symbols used (not applicable for control or overlay plots)

          1 - 1     11 - B     21 - L     31 - V
          2 - 2     12 - C     22 - M     32 - W
          3 - 3     13 - D     23 - N     33 - X
          4 - 4     14 - E     24 - O     34 - Y
          5 - 5     15 - F     25 - P     35 - Z
          6 - 6     16 - G     26 - Q     36 - *
          7 - 7     17 - H     27 - R
          8 - 8     18 - I     28 - S
          9 - 9     19 - J     29 - T
         10 - A     20 - K     30 - U
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY              Page 5
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


                        PLOT OF SURVIVING BACTERIA AGAINST TIME
         ++----+----+----+----+----+----+----+----+----+----+----+----+----++
      400+                                                                  +
         |                                                                  |
         |                                                                  |
         |                                                                  |
         |                 1                                                |
      350+                                                                  +
         |                                                                  |
         |                                                                  |
         |                                                                  |
         |                                                                  |
      300+                                                                  +
         |                                                                  |
         |                                                                  |
         |                                                                  |
         |                                                                  |
      250+                                                                  +
B        |                                                                  |
A        |                                                                  |
C        |                                                                  |
T        |                    1                                             |
E     200+                      1                                           +
R        |                                                                  |
I        |                                                                  |
A        |                         1                                        |
         |                                                                  |
      150+                                                                  +
         |                           1                                      |
         |                                                                  |
         |                                                                  |
         |                              1                                   |
      100+                                1                                 +
         |                                                                  |
         |                                                                  |
         |                                                                  |
         |                                   1 1                            |
       50+                                                                  +
         |                                        1 1                       |
         |                                             1                    |
         |                                               1  1 1             |
         |                                                                  |
        0+                                                                  +
         ++----+----+----+----+----+----+----+----+----+----+----+----+----++
         -6        -2         2         6        10        14        18


                                         TIME

        15 cases plotted.
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY              Page 6
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .01 seconds CPU time;  .04 seconds elapsed.

-> PLOT TITLE='PLOT OF LN Bacteria against time'
->   /PLOT = LNBAC WITH TIME.

There are 523,048 bytes of memory available.
The largest contiguous area has 523,040 bytes.

PLOT requires 14992 bytes of workspace for execution.
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY              Page 7
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


* * * * * * * * * * * * * * * * *  P  L  O  T  * * * * * * * * * * * * * * * * *

Data   Information

         15 unweighted cases accepted.

Size of the plots

   Horizontal size is 65
     Vertical size is 40

Frequencies and symbols used (not applicable for control or overlay plots)

          1 - 1     11 - B     21 - L     31 - V
          2 - 2     12 - C     22 - M     32 - W
          3 - 3     13 - D     23 - N     33 - X
          4 - 4     14 - E     24 - O     34 - Y
          5 - 5     15 - F     25 - P     35 - Z
          6 - 6     16 - G     26 - Q     36 - *
          7 - 7     17 - H     27 - R
          8 - 8     18 - I     28 - S
          9 - 9     19 - J     29 - T
         10 - A     20 - K     30 - U
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY              Page 8
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


                           PLOT OF LN Bacteria against time
         ++----+----+----+----+----+----+----+----+----+----+----+----+----++
        6+                                                                  +
         |                 1                                                |
         |                                                                  |
         |                                                                  |
         |                                                                  |
      5.5+                                                                  +
         |                    1                                             |
         |                      1                                           |
         |                                                                  |
         |                         1                                        |
        5+                           1                                      +
         |                                                                  |
         |                                                                  |
         |                              1                                   |
         |                                1                                 |
      4.5+                                                                  +
         |                                                                  |
L        |                                                                  |
N        |                                                                  |
B        |                                   1                              |
A       4+                                     1                            +
C        |                                                                  |
         |                                                                  |
         |                                                                  |
         |                                        1 1                       |
      3.5+                                             1                    +
         |                                                                  |
         |                                                                  |
         |                                                                  |
         |                                                                  |
        3+                                               1                  +
         |                                                  1               |
         |                                                                  |
         |                                                    1             |
         |                                                                  |
      2.5+                                                                  +
         |                                                                  |
         |                                                                  |
         |                                                                  |
         |                                                                  |
        2+                                                                  +
         ++----+----+----+----+----+----+----+----+----+----+----+----+----++
         -6        -2         2         6        10        14        18


                                         TIME

        15 cases plotted.
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY              Page 9
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .01 seconds CPU time;  .04 seconds elapsed.

-> Regression var=bacteria,time/dep=bacteria/enter.

There are 523,496 bytes of memory available.
The largest contiguous area has 523,024 bytes.

     1148 bytes of memory required for REGRESSION procedure.
        0 more bytes may be needed for Residuals plots.


10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY             Page 10
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *


Listwise Deletion of Missing Data

Equation Number 1    Dependent Variable..   BACTERIA

Block Number  1.  Method:  Enter


Variable(s) Entered on Step Number
   1..    TIME


Multiple R           .90742
R Square             .82342
Adjusted R Square    .80983
Standard Error     41.83243

Analysis of Variance
                    DF      Sum of Squares      Mean Square
Regression           1        106080.35714     106080.35714
Residual            13         22749.37619       1749.95201

F =      60.61901       Signif F =  .0000


------------------ Variables in the Equation ------------------

Variable              B        SE B       Beta         T  Sig T

TIME         -19.464286    2.499966   -.907422    -7.786  .0000
(Constant)   259.580952   22.729991               11.420  .0000


End Block Number   1   All requested variables entered.
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY             Page 11
11:25:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .03 seconds CPU time;  .07 seconds elapsed.

-> regression var=lnbac,time/dep=lnbac/enter.

There are 523,496 bytes of memory available.
The largest contiguous area has 523,024 bytes.

     1148 bytes of memory required for REGRESSION procedure.
        0 more bytes may be needed for Residuals plots.


10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY             Page 12
11:25:39  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *


Listwise Deletion of Missing Data

Equation Number 1    Dependent Variable..   LNBAC

Block Number  1.  Method:  Enter


Variable(s) Entered on Step Number
   1..    TIME


Multiple R           .99416
R Square             .98836
Adjusted R Square    .98746
Standard Error       .11002

Analysis of Variance
                    DF      Sum of Squares      Mean Square
Regression           1            13.35869         13.35869
Residual            13              .15735           .01210

F =    1103.70232       Signif F =  .0000


------------------ Variables in the Equation ------------------

Variable              B        SE B       Beta         T  Sig T

TIME           -.218425     .006575   -.994162   -33.222  .0000
(Constant)     5.973160     .059778               99.922  .0000


End Block Number   1   All requested variables entered.
10 Dec 97 CHATTERJI & PRICE PAGE 36 - VIOLATION OF LINEARITY             Page 13
11:25:39  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .01 seconds CPU time;  .03 seconds elapsed.
19