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