Ch. Eick
        The Art of Interpolation --- Making Sense of Data:
               The "Hard Life of a Data Analyst"    
                  Individual Project COSC 6366

   Find a function f (the function could also be a CLIPS program
   or a C-function) that computes the output variable X based on
   inputs A, B, C, D, and E (based on the given empirical observations
   given below). f is a function: [0,1]^5 --> [0,1]. Any method to find f 
   is welcome. Submit the following by Thursday, Nov. 21, 9a:
   a) A 2-4 page report that discusses how you came up with 
      your function f. The report should include the average 
      absoulute error for the training-set (|x-f(a,b,c,d,e)|)
      given below, and give the results for the test set, listed below.
   b) An implementation of function f, so that I can execute it interactively
      by typing in the values of A, B , C , D , E.   

                  input                     output(rounded to 3 digits)
    A       B      C       D       E            X 
   0.00    0.00   0.00    0.00    1.00         0.0
   1.00    1.00   0.31    0.41    0.00         0.990
   1.00    0.00   0.81    0.8     0.88         0.108
   0.2     0.2    0.2     0.2     0.2          0.031
   0.38    0.38   0.38    0.38    0.38         0.146
   0.4     0.4    0.4     0.4     0.4          0.164
   0.6     0.6    0.6     0.6     0.6          0.341
   0.8     0.8    0.8     0.8     0.8          0.560
   0.9     0.9    0.9     0.9     0.9          0.668
   0.63    0.93   0.73    0.53    0.83         0.588
   0.43    0.57   0.43    0.57    0.43         0.240
   0.57    0.43   0.57    0.43    0.57         0.254
   0.45    0.55   0.55    0.55    0.45         0.244
   0.55    0.45   0.45    0.45    0.55         0.257
   0.9     0.1    0.1     0.9     0.1          0.163
   0.1     0.9    0.9     0.1     0.1          0.086
   0.7     0.6    0.5     0.4     0.3          0.422
   0.11    0.21   0.31    0.41    0.51         0.024
   0.11    0.31   0.31    0.41    0.51         0.257
   0.7     0.7    0.9     0.9     0.9          0.398
   0.8     0.8    0.9     0.9     0.9          0.534
   0.2     0.4    0.2     0.4     0.2          0.084
   1.0     0.48   0.53    0.51    0.64         0.459
   0.0     0.6    0.71    0.6     0.71         0.0
   0.5     0.7    0.4     0.5     0.01         0.357
   0.01    0.99   0.99    0.99    0.99         0.008
   1.0     1.0    1.0     1.0     1.0          0.831
   1.0     1.0    1.0     0.0     0.0          0.868
   1.0     0.0    0.51    0.99    1.0          0.166
   0.9     0.8    0.7     0.5     0.1          0.710

Use your function to compute the X-value for the following 
set:
   1.00    0.98   0.35    0.45    0.19           ?
   0.88    0.82   0.69    0.51    0.03           ?
   0.02    0.02   0.88    0.29    0.49           ?
   0.66    0.88   0.39    1.00    0.01           ?
   0.98    0.99   0.35    0.99    0.23           ?
   0.80    0.80   1.00    0.02    0.01           ?
   0.91    0.69   0.98    0.84    0.77           ?
   1.00    0.55   0.01    0.75    0.89           ?