File: Wampler3.dat

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NIST/ITL StRD
Dataset Name:  Wampler3 (Wampler3.dat)

File Format:   ASCII
               Certified Values  (lines 31 to 50)
               Data              (lines 61 to 81)

Procedure:     Linear Least Squares Regression

Reference:     Wampler, R. H. (1970). 
               A Report of the Accuracy of Some Widely-Used Least 
               Squares Computer Programs. 
               Journal of the American Statistical Association, 65, pp. 549-565.
           
Data:          1 Response Variable (y)
               1 Predictor Variable (x)
               21 Observations
               Higher Level of Difficulty
               Generated Data

Model:         Polynomial Class
               6 Parameters (B0,B1,...,B5)

               y = B0 + B1*x + B2*(x**2) + B3*(x**3)+ B4*(x**4) + B5*(x**5)

               Certified Regression Statistics

                                          Standard Deviation
     Parameter          Estimate             of Estimate

        B0        1.00000000000000         2152.32624678170    
        B1        1.00000000000000         2363.55173469681    
        B2        1.00000000000000         779.343524331583    
        B3        1.00000000000000         101.475507550350    
        B4        1.00000000000000         5.64566512170752    
        B5        1.00000000000000         0.112324854679312    

     Residual
     Standard Deviation   2360.14502379268

     R-Squared            0.999995559025820


               Certified Analysis of Variance Table

Source of Degrees of     Sums of              Mean  
Variation  Freedom       Squares             Squares           F Statistic
              
Regression    5      18814317208116.7    3762863441623.33   675524.458240122   
Residual     15      83554268.0000000    5570284.53333333









Data:           y      x
              760.     0
            -2042.     1
             2111.     2
            -1684.     3
             3888.     4
             1858.     5
            11379.     6
            17560.     7
            39287.     8
            64382.     9
           113159.    10
           175108.    11
           273291.    12
           400186.    13
           581243.    14
           811568.    15
          1121004.    16
          1506550.    17
          2002767.    18
          2611612.    19
          3369180.    20