Page 225 - Contributed Paper Session (CPS) - Volume 3
P. 225

CPS1999 Pranesh K. et al.

                                                          ∑  2
            squared  errors  are  calculated  as   = √     and  given  in  Table  4.
                                                          −1
            Calculated RMSE for FLR and OLS fitted models are 0.366195 and 0.379641,
            respectively.

                  Table 4: Prediction Error for the Fuzzy and Ordinary Least Squares
                                            Regressions.
                                              FLR                      OLS
                 Obs.       Year                       
                                                                  
                                         
                   1        1979     0.3473       0.8717      0.4209      1.067654
                   2        1980     0.0453       0.1137      0.0954      0.241991
                   3        1981     -0.0463     -0.11621     0.0149      0.037795
                   4        1982     0.3058      0.767538     0.3949      1.001702
                   5        1983     -0.0925     -0.23217     0.0019      0.00482
                   6        1984     -0.2737     -0.68697     -0.2058     -0.52203
                   …         …          …           …            …           …
                  35        2013     0.7237      1.816439     0.6417      1.627734
                  36        2014     0.9177      2.303366     0.8281      2.100556
                  37        2015     0.4692      1.177661     0.3583      0.908863
                                          0.366195                 0.379641
                         2

            We have plotted the prediction standardized errors due to fitted fuzzy and
            least squares regressions in Figure 2.  In the Figure, the blue line denotes the
            standard errors of FLR and the red line is the standard errors of OLS.






























                               Figure 2: Standardized Prediction Errors


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