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Re: FW: Regression output format


From: John Darrington
Subject: Re: FW: Regression output format
Date: Sat, 8 Oct 2011 06:21:53 +0000
User-agent: Mutt/1.5.18 (2008-05-17)

I didn't reply to your message before, but I did spend some time investigating
the situation a little.

1.  The way pspp presents the output is indeed very similar to that of spss.

2.  However, after searching a number of tutorials I cannot find a single 
example
    where REGRESSION is used with more than one dependent variable.  Possibly
    because it's not possible to generate such syntax with the spss gui 
(although
    the syntax accepts it).

In the future, I'd like to see a lot more flexibility in the output - such that 
the user can adjust the way in which it's presented.  But that's not likely to 
happen for some time (at least not unless somebody steps forward and offers to 
do it).

One thing I do agree is very confusing however is that the tables give no 
indication of the dependent variable to which they refer.  We should do 
something
about this.o

J'


On Fri, Oct 07, 2011 at 04:45:02PM +0100, Rob Malpass wrote:
     Hi all
     
      
     
     Did this get through to everyone (see below)?   If so - no answers yet.   
As
     I say, if everyone's happy - that's fine - but thought I'd ask.
     
      
     
     Cheers
     
     Rob
     
      
     
     From: Rob Malpass [mailto:address@hidden 
     Sent: 01 October 2011 16:58
     To: address@hidden
     Subject: Regression output format
     
      
     
     Hi all
     
      
     
     This is not a criticism - just suggesting an improvement as I see it.   If
     others are happy with the present situation - so be it.
     
      
     
     I've just been playing with linear regression in PSPP.   While I'm content
     that the numbers look right, can I ask if everyone's happy with the format
     of the output?   I confess I've not used SPSS for a regression for many a
     year but in PSPP I'm getting umpteen tables - seemingly 3 for each
     independent variable.
     
      
     
     What I (personally) would like to see is two tables when running a
     regression:
     
     1) Overall model specifics: R Squared, F-Test on R, RESET test etc
     
     2) For each independent variable, a table with the Coeff, the std err, the
     t-stat etc
     
      
     
     The second table above is very much the way Microfit does it and I
     (obviously) accept the point that we're trying to build an SPSS clone here
     so if PSPP is currently cloning the SPSS output so be it - but I thought I
     would float the idea.
     
      
     
     In my particular case, I have 10 independent variables such that I'm 
getting
     30 tables i.e. 3 tables (coeff, ANOVA and std err) for each variable.   
This
     may be something to do with me running in a large font (on an Ubuntu 10.04
     box) but I thought I would ask.
     
      
     
     For academic interest, I can easily supply the dataset I'm using if that
     would be helpful.   The output I'm getting (to show just how many tables 
for
     10 independent variables) is attached.
     
      
     
     Cheers
     
     Rob
     

     1.1(1) REGRESSION.  Model Summary
     #============#========#=================#
     #          R #R Square|Adjusted R Square#
     #========#===#========#=================#
     #        |.99#     .98|              .98#
     #========#===#========#=================#
     
     1.1(2) REGRESSION.  Model Summary
     #==========================#
     #Std. Error of the Estimate#
     #==========================#
     #                      2.79#
     #==========================#
     
     1.2(1:2) REGRESSION.  ANOVA
     #===================#==============#==#===========#=======#
     #                   #Sum of Squares|df|Mean Square|   F   #
     #========#==========#==============#==#===========#=======#
     #        |Regression#       8300.49| 1|    8300.49|1064.35#
     #        |Residual  #        179.37|23|       7.80|       #
     #        |Total     #       8479.85|24|           |       #
     #========#==========#==============#==#===========#=======#
     
     1.2(2:1) REGRESSION.  ANOVA
     #===================#============#
     #                   #Significance#
     #========#==========#============#
     #        |Regression#         .00#
     #========#==========#============#
     1.2(2:3) REGRESSION.  ANOVA
     #===================#============#
     #                   #Significance#
     #========#==========#============#
     #        |Residual  #            #
     #        |Total     #            #
     #========#==========#============#
     
     1.3(1:1) REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#
     #                   #  B  |Std. Error|Beta|  t  #
     #========#==========#=====#==========#====#=====#
     #        |(Constant)#58.46|      2.21| .00|26.50#
     #        |    PI    #  .08|       .00| .99|32.62#
     #========#==========#=====#==========#====#=====#
     1.3(1:3) REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#
     #                   #  B  |Std. Error|Beta|  t  #
     #========#==========#=====#==========#====#=====#
     #        |          #     |          |    |     #
     #========#==========#=====#==========#====#=====#
     
     1.3(2) REGRESSION.  Coefficients
     #===================#============#
     #                   #Significance#
     #========#==========#============#
     #        |(Constant)#         .02#
     #        |    PI    #         .00#
     #        |          #            #
     #========#==========#============#
     2.1 REGRESSION.  Model Summary
     #=============#========#=================#==========================#
     #           R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#====#========#=================#==========================#
     #        |1.00#    1.00|             1.00|                      9.58#
     #========#====#========#=================#==========================#
     
     2.2 REGRESSION.  ANOVA
     #===================#==============#==#===========#=======#============#
     #                   #Sum of Squares|df|Mean Square|   F   |Significance#
     #========#==========#==============#==#===========#=======#============#
     #        |Regression#      783229.1| 1|   783229.1|8536.46|         .00#
     #        |Residual  #       2110.27|23|      91.75|       |            #
     #        |Total     #      785339.4|24|           |       |            #
     #========#==========#==============#==#===========#=======#============#
     
     2.3 REGRESSION.  Coefficients
     #===================#====#==========#====#=====#============#
     #                   #  B |Std. Error|Beta|  t  |Significance#
     #========#==========#====#==========#====#=====#============#
     #        |(Constant)#-.63|      7.90| .00| -.08|         .95#
     #        |    DPI   # .91|       .01|1.00|92.39|         .00#
     #        |          #    |          |    |     |            #
     #========#==========#====#==========#====#=====#============#
     
     2.4(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.99#     .98|              .98|                      2.88#
     #========#===#========#=================#==========================#
     
     2.5 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#       8289.17| 1|    8289.17|999.84|         .00#
     #        |Residual  #        190.68|23|       8.29|      |            #
     #        |Total     #       8479.85|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.6 REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#============#
     #                   #  B  |Std. Error|Beta|  t  |Significance#
     #========#==========#=====#==========#====#=====#============#
     #        |(Constant)#55.27|      2.37| .00|23.28|         .03#
     #        |    DPI   #  .09|       .00| .99|31.62|         .00#
     #        |          #     |          |    |     |            #
     #========#==========#=====#==========#====#=====#============#
     
     2.7(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.98#     .96|              .96|                      3.44#
     #========#===#========#=================#==========================#
     
     2.8 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#       6032.60| 1|    6032.60|509.67|         .00#
     #        |Residual  #        272.24|23|      11.84|      |            #
     #        |Total     #       6304.84|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.9 REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#============#
     #                   #  B  |Std. Error|Beta|  t  |Significance#
     #========#==========#=====#==========#====#=====#============#
     #        |(Constant)#-5.38|      2.84| .00|-1.90|         .31#
     #        |    DPI   #  .08|       .00| .98|22.58|         .00#
     #        |          #     |          |    |     |            #
     #========#==========#=====#==========#====#=====#============#
     
     2.10(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.93#     .87|              .87|                      1.87#
     #========#===#========#=================#==========================#
     
     2.11 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#        527.25| 1|     527.25|150.10|         .00#
     #        |Residual  #         80.79|23|       3.51|      |            #
     #        |Total     #        608.04|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.12 REGRESSION.  Coefficients
     #===================#====#==========#====#=====#============#
     #                   #  B |Std. Error|Beta|  t  |Significance#
     #========#==========#====#==========#====#=====#============#
     #        |(Constant)#3.38|      1.55| .00| 2.19|         .27#
     #        |    DPI   # .02|       .00| .93|12.25|         .00#
     #        |          #    |          |    |     |            #
     #========#==========#====#==========#====#=====#============#
     
     2.13(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.68#     .47|              .47|                       .43#
     #========#===#========#=================#==========================#
     
     2.14 REGRESSION.  ANOVA
     #===================#==============#==#===========#=====#============#
     #                   #Sum of Squares|df|Mean Square|  F  |Significance#
     #========#==========#==============#==#===========#=====#============#
     #        |Regression#          3.76| 1|       3.76|20.16|         .00#
     #        |Residual  #          4.29|23|        .19|     |            #
     #        |Total     #          8.05|24|           |     |            #
     #========#==========#==============#==#===========#=====#============#
     
     2.15 REGRESSION.  Coefficients
     #===================#====#==========#====#=====#============#
     #                   #  B |Std. Error|Beta|  t  |Significance#
     #========#==========#====#==========#====#=====#============#
     #        |(Constant)#6.28|       .36| .00|17.64|         .04#
     #        |    DPI   # .00|       .00|-.68|-4.49|         .00#
     #        |          #    |          |    |     |            #
     #========#==========#====#==========#====#=====#============#
     
     2.16(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.94#     .89|              .89|                       .35#
     #========#===#========#=================#==========================#
     
     2.17 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#         22.94| 1|      22.94|186.28|         .00#
     #        |Residual  #          2.83|23|        .12|      |            #
     #        |Total     #         25.77|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.18 REGRESSION.  Coefficients
     #===================#====#==========#====#=====#============#
     #                   #  B |Std. Error|Beta|  t  |Significance#
     #========#==========#====#==========#====#=====#============#
     #        |(Constant)#8.47|       .29| .00|29.29|         .02#
     #        |    DPI   # .00|       .00| .94|13.65|         .00#
     #        |          #    |          |    |     |            #
     #========#==========#====#==========#====#=====#============#
     
     2.19(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.95#     .90|              .90|                       .55#
     #========#===#========#=================#==========================#
     
     2.20 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#         60.61| 1|      60.61|197.33|         .00#
     #        |Residual  #          7.06|23|        .31|      |            #
     #        |Total     #         67.68|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.21 REGRESSION.  Coefficients
     #===================#===#==========#====#=====#============#
     #                   # B |Std. Error|Beta|  t  |Significance#
     #========#==========#===#==========#====#=====#============#
     #        |(Constant)#.34|       .46| .00|  .74|         .60#
     #        |    DPI   #.01|       .00| .95|14.05|         .00#
     #        |          #   |          |    |     |            #
     #========#==========#===#==========#====#=====#============#
     
     2.22(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.97#     .95|              .95|                       .58#
     #========#===#========#=================#==========================#
     
     2.23 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#        146.79| 1|     146.79|435.33|         .00#
     #        |Residual  #          7.76|23|        .34|      |            #
     #        |Total     #        154.55|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.24 REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#============#
     #                   #  B  |Std. Error|Beta|  t  |Significance#
     #========#==========#=====#==========#====#=====#============#
     #        |(Constant)#-1.98|       .48| .00|-4.13|         .15#
     #        |    DPI   #  .01|       .00| .97|20.86|         .00#
     #        |          #     |          |    |     |            #
     #========#==========#=====#==========#====#=====#============#
     
     2.25(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.99#     .99|              .99|                      4.09#
     #========#===#========#=================#==========================#
     
     2.26 REGRESSION.  ANOVA
     #===================#==============#==#===========#=======#============#
     #                   #Sum of Squares|df|Mean Square|   F   |Significance#
     #========#==========#==============#==#===========#=======#============#
     #        |Regression#      30391.02| 1|   30391.02|1814.69|         .00#
     #        |Residual  #        385.19|23|      16.75|       |            #
     #        |Total     #      30776.20|24|           |       |            #
     #========#==========#==============#==#===========#=======#============#
     
     2.27 REGRESSION.  Coefficients
     #===================#======#==========#====#=====#============#
     #                   #   B  |Std. Error|Beta|  t  |Significance#
     #========#==========#======#==========#====#=====#============#
     #        |(Constant)#-27.57|      3.37| .00|-8.17|         .08#
     #        |    DPI   #   .18|       .00| .99|42.60|         .00#
     #        |          #      |          |    |     |            #
     #========#==========#======#==========#====#=====#============#
     
     2.28(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.85#     .73|              .73|                       .47#
     #========#===#========#=================#==========================#
     
     2.29 REGRESSION.  ANOVA
     #===================#==============#==#===========#=====#============#
     #                   #Sum of Squares|df|Mean Square|  F  |Significance#
     #========#==========#==============#==#===========#=====#============#
     #        |Regression#         13.49| 1|      13.49|60.92|         .00#
     #        |Residual  #          5.09|23|        .22|     |            #
     #        |Total     #         18.58|24|           |     |            #
     #========#==========#==============#==#===========#=====#============#
     
     2.30 REGRESSION.  Coefficients
     #===================#====#==========#====#====#============#
     #                   #  B |Std. Error|Beta|  t |Significance#
     #========#==========#====#==========#====#====#============#
     #        |(Constant)#2.91|       .39| .00|7.49|         .08#
     #        |    DPI   # .00|       .00| .85|7.80|         .00#
     #        |          #    |          |    |    |            #
     #========#==========#====#==========#====#====#============#
     
     2.31(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.99#     .98|              .98|                       .14#
     #========#===#========#=================#==========================#
     
     2.32 REGRESSION.  ANOVA
     #===================#==============#==#===========#=======#============#
     #                   #Sum of Squares|df|Mean Square|   F   |Significance#
     #========#==========#==============#==#===========#=======#============#
     #        |Regression#         23.69| 1|      23.69|1279.70|         .00#
     #        |Residual  #           .43|23|        .02|       |            #
     #        |Total     #         24.12|24|           |       |            #
     #========#==========#==============#==#===========#=======#============#
     
     2.33 REGRESSION.  Coefficients
     #===================#====#==========#====#=====#============#
     #                   #  B |Std. Error|Beta|  t  |Significance#
     #========#==========#====#==========#====#=====#============#
     #        |(Constant)#-.21|       .11| .00|-1.90|         .31#
     #        |    DPI   # .00|       .00| .99|35.77|         .00#
     #        |          #    |          |    |     |            #
     #========#==========#====#==========#====#=====#============#
     
     2.34(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.98#     .97|              .97|                      1.18#
     #========#===#========#=================#==========================#
     
     2.35 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#       1026.67| 1|    1026.67|731.27|         .00#
     #        |Residual  #         32.29|23|       1.40|      |            #
     #        |Total     #       1058.97|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.36 REGRESSION.  Coefficients
     #===================#======#==========#====#======#============#
     #                   #   B  |Std. Error|Beta|   t  |Significance#
     #========#==========#======#==========#====#======#============#
     #        |(Constant)#-12.50|       .98| .00|-12.80|         .05#
     #        |    DPI   #   .03|       .00| .98| 27.04|         .00#
     #        |          #      |          |    |      |            #
     #========#==========#======#==========#====#======#============#
     
     2.37(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.32#     .10|              .10|                       .20#
     #========#===#========#=================#==========================#
     
     2.38 REGRESSION.  ANOVA
     #===================#==============#==#===========#====#============#
     #                   #Sum of Squares|df|Mean Square|  F |Significance#
     #========#==========#==============#==#===========#====#============#
     #        |Regression#           .11| 1|        .11|2.57|         .12#
     #        |Residual  #           .96|23|        .04|    |            #
     #        |Total     #          1.07|24|           |    |            #
     #========#==========#==============#==#===========#====#============#
     
     2.39 REGRESSION.  Coefficients
     #===================#====#==========#====#=====#============#
     #                   #  B |Std. Error|Beta|  t  |Significance#
     #========#==========#====#==========#====#=====#============#
     #        |(Constant)#3.73|       .17| .00|22.14|         .03#
     #        |    DPI   # .00|       .00|-.32|-1.60|         .12#
     #        |          #    |          |    |     |            #
     #========#==========#====#==========#====#=====#============#
     
     2.40(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.95#     .91|              .91|                       .41#
     #========#===#========#=================#==========================#
     
     2.41 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#         38.57| 1|      38.57|232.31|         .00#
     #        |Residual  #          3.82|23|        .17|      |            #
     #        |Total     #         42.39|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.42 REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#============#
     #                   #  B  |Std. Error|Beta|  t  |Significance#
     #========#==========#=====#==========#====#=====#============#
     #        |(Constant)#-2.14|       .34| .00|-6.37|         .10#
     #        |    DPI   #  .01|       .00| .95|15.24|         .00#
     #        |          #     |          |    |     |            #
     #========#==========#=====#==========#====#=====#============#
     
     2.43(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.99#     .98|              .98|                       .59#
     #========#===#========#=================#==========================#
     
     2.44 REGRESSION.  ANOVA
     #===================#==============#==#===========#=======#============#
     #                   #Sum of Squares|df|Mean Square|   F   |Significance#
     #========#==========#==============#==#===========#=======#============#
     #        |Regression#        485.52| 1|     485.52|1416.37|         .00#
     #        |Residual  #          7.88|23|        .34|       |            #
     #        |Total     #        493.40|24|           |       |            #
     #========#==========#==============#==#===========#=======#============#
     
     2.45 REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#============#
     #                   #  B  |Std. Error|Beta|  t  |Significance#
     #========#==========#=====#==========#====#=====#============#
     #        |(Constant)#-2.27|       .48| .00|-4.70|         .13#
     #        |    DPI   #  .02|       .00| .99|37.63|         .00#
     #        |          #     |          |    |     |            #
     #========#==========#=====#==========#====#=====#============#
     
     2.46(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.99#     .97|              .97|                       .32#
     #========#===#========#=================#==========================#
     
     2.47 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#         85.40| 1|      85.40|812.97|         .00#
     #        |Residual  #          2.42|23|        .11|      |            #
     #        |Total     #         87.82|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.48 REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#============#
     #                   #  B  |Std. Error|Beta|  t  |Significance#
     #========#==========#=====#==========#====#=====#============#
     #        |(Constant)#-1.78|       .27| .00|-6.67|         .09#
     #        |    DPI   #  .01|       .00| .99|28.51|         .00#
     #        |          #     |          |    |     |            #
     #========#==========#=====#==========#====#=====#============#
     
     2.49(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.96#     .92|              .92|                      1.68#
     #========#===#========#=================#==========================#
     
     2.50 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#        745.91| 1|     745.91|265.23|         .00#
     #        |Residual  #         64.68|23|       2.81|      |            #
     #        |Total     #        810.59|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.51 REGRESSION.  Coefficients
     #===================#=====#==========#====#=====#============#
     #                   #  B  |Std. Error|Beta|  t  |Significance#
     #========#==========#=====#==========#====#=====#============#
     #        |(Constant)#-5.18|      1.38| .00|-3.74|         .17#
     #        |    DPI   #  .03|       .00| .96|16.29|         .00#
     #        |          #     |          |    |     |            #
     #========#==========#=====#==========#====#=====#============#
     
     2.52(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.98#     .96|              .96|                       .57#
     #========#===#========#=================#==========================#
     
     2.53 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#        165.02| 1|     165.02|516.65|         .00#
     #        |Residual  #          7.35|23|        .32|      |            #
     #        |Total     #        172.37|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.54 REGRESSION.  Coefficients
     #===================#===#==========#====#=====#============#
     #                   # B |Std. Error|Beta|  t  |Significance#
     #========#==========#===#==========#====#=====#============#
     #        |(Constant)#.11|       .47| .00|  .24|         .85#
     #        |    DPI   #.01|       .00| .98|22.73|         .00#
     #        |          #   |          |    |     |            #
     #========#==========#===#==========#====#=====#============#
     
     2.55(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.99#     .99|              .99|                       .35#
     #========#===#========#=================#==========================#
     
     2.56 REGRESSION.  ANOVA
     #===================#==============#==#===========#=======#============#
     #                   #Sum of Squares|df|Mean Square|   F   |Significance#
     #========#==========#==============#==#===========#=======#============#
     #        |Regression#        210.33| 1|     210.33|1672.95|         .00#
     #        |Residual  #          2.89|23|        .13|       |            #
     #        |Total     #        213.23|24|           |       |            #
     #========#==========#==============#==#===========#=======#============#
     
     2.57 REGRESSION.  Coefficients
     #===================#=====#==========#====#======#============#
     #                   #  B  |Std. Error|Beta|   t  |Significance#
     #========#==========#=====#==========#====#======#============#
     #        |(Constant)#-3.49|       .29| .00|-11.93|         .05#
     #        |    DPI   #  .01|       .00| .99| 40.90|         .00#
     #        |          #     |          |    |      |            #
     #========#==========#=====#==========#====#======#============#
     
     2.58(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.95#     .90|              .90|                       .23#
     #========#===#========#=================#==========================#
     
     2.59 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#         10.72| 1|      10.72|196.28|         .00#
     #        |Residual  #          1.26|23|        .05|      |            #
     #        |Total     #         11.98|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.60 REGRESSION.  Coefficients
     #===================#====#==========#====#=====#============#
     #                   #  B |Std. Error|Beta|  t  |Significance#
     #========#==========#====#==========#====#=====#============#
     #        |(Constant)#1.04|       .19| .00| 5.40|         .12#
     #        |    DPI   # .00|       .00| .95|14.01|         .00#
     #        |          #    |          |    |     |            #
     #========#==========#====#==========#====#=====#============#
     
     2.61(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.99#     .98|              .98|                       .25#
     #========#===#========#=================#==========================#
     
     2.62 REGRESSION.  ANOVA
     #===================#==============#==#===========#=======#============#
     #                   #Sum of Squares|df|Mean Square|   F   |Significance#
     #========#==========#==============#==#===========#=======#============#
     #        |Regression#         68.04| 1|      68.04|1125.70|         .00#
     #        |Residual  #          1.39|23|        .06|       |            #
     #        |Total     #         69.43|24|           |       |            #
     #========#==========#==============#==#===========#=======#============#
     
     2.63 REGRESSION.  Coefficients
     #===================#=====#==========#====#======#============#
     #                   #  B  |Std. Error|Beta|   t  |Significance#
     #========#==========#=====#==========#====#======#============#
     #        |(Constant)#-2.03|       .20| .00|-10.01|         .06#
     #        |    DPI   #  .01|       .00| .99| 33.55|         .00#
     #        |          #     |          |    |      |            #
     #========#==========#=====#==========#====#======#============#
     
     2.64(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.93#     .86|              .86|                     17.43#
     #========#===#========#=================#==========================#
     
     2.65 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#      42909.95| 1|   42909.95|141.17|         .00#
     #        |Residual  #       6991.22|23|     303.97|      |            #
     #        |Total     #      49901.17|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.66 REGRESSION.  Coefficients
     #===================#======#==========#====#=====#============#
     #                   #   B  |Std. Error|Beta|  t  |Significance#
     #========#==========#======#==========#====#=====#============#
     #        |(Constant)#-51.18|     14.37| .00|-3.56|         .17#
     #        |    DPI   #   .21|       .02| .93|11.88|         .00#
     #        |          #      |          |    |     |            #
     #========#==========#======#==========#====#=====#============#
     
     2.67(2) REGRESSION.  Model Summary
     #============#========#=================#==========================#
     #          R #R Square|Adjusted R Square|Std. Error of the Estimate#
     #========#===#========#=================#==========================#
     #        |.94#     .88|              .88|                     19.06#
     #========#===#========#=================#==========================#
     
     2.68 REGRESSION.  ANOVA
     #===================#==============#==#===========#======#============#
     #                   #Sum of Squares|df|Mean Square|   F  |Significance#
     #========#==========#==============#==#===========#======#============#
     #        |Regression#      59635.38| 1|   59635.38|164.16|         .00#
     #        |Residual  #       8355.32|23|     363.27|      |            #
     #        |Total     #      67990.70|24|           |      |            #
     #========#==========#==============#==#===========#======#============#
     
     2.69 REGRESSION.  Coefficients
     #===================#======#==========#====#=====#============#
     #                   #   B  |Std. Error|Beta|  t  |Significance#
     #========#==========#======#==========#====#=====#============#
     #        |(Constant)#-75.16|     15.71| .00|-4.78|         .13#
     #        |    DPI   #   .25|       .02| .94|12.81|         .00#
     #        |          #      |          |    |     |            #
     #========#==========#======#==========#====#=====#============#
     
     

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