R help - Mar 2007 - generate random numbers for regression model

Hi,
   
  please help me coding:
   
  model : y = f(x) + e,   e ~ N(0, sigma^2)
  f(x) = 1/1+x^2
  generate {(x_i,y_i), i=1,2,...,n}
  x_i: are ordered
   
  H(x_j) = sum_i =1, i  neq j-1   y_i+1/x_i+1 - x_j   (x_i+1  -  x_i ) 
  j = 1, ...,n
   
  find {(x_i, H(x_i)), i = 1, ..., n}
   
  Then find (x_i, H(H(x_i)), i = 1, ..., n}
   
   
  I do appreciate your help
  thank you in advance
  fatemah
   

 
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