File: Longley.dat

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

File Format:   ASCII
               Certified Values  (lines 31 to 51)
               Data              (lines 61 to 76)

Procedure:     Linear Least Squares Regression

Reference:     Longley, J. W. (1967).  
               An Appraisal of Least Squares Programs for the 
               Electronic Computer from the Viewpoint of the User.
               Journal of the American Statistical Association, 62, pp. 819-841.

Data:          1 Response Variable (y)
               6 Predictor Variable (x)
               16 Observations
               Higher Level of Difficulty
               Observed Data

Model:         Polynomial Class
               7 Parameters (B0,B1,...,B7)

               y = B0 + B1*x1 + B2*x2 + B3*x3 + B4*x4 + B5*x5 + B6*x6 + e

               Certified Regression Statistics

                                          Standard Deviation
     Parameter         Estimate              of Estimate

        B0       -3482258.63459582         890420.383607373
        B1        15.0618722713733         84.9149257747669
        B2       -0.358191792925910E-01    0.334910077722432E-01
        B3       -2.02022980381683         0.488399681651699
        B4       -1.03322686717359         0.214274163161675
        B5       -0.511041056535807E-01    0.226073200069370
        B6        1829.15146461355         455.478499142212

     Residual
     Standard Deviation   304.854073561965

     R-Squared            0.995479004577296


               Certified Analysis of Variance Table

Source of Degrees of     Sums of             Mean  
Variation  Freedom       Squares            Squares          F Statistic
              
Regression    6      184172401.944494   30695400.3240823   330.285339234588
Residual      9      836424.055505915   92936.0061673238








Data:     y       x1      x2      x3       x4       x5     x6
        60323    83.0   234289   2356     1590    107608  1947
        61122    88.5   259426   2325     1456    108632  1948
        60171    88.2   258054   3682     1616    109773  1949
        61187    89.5   284599   3351     1650    110929  1950
        63221    96.2   328975   2099     3099    112075  1951
        63639    98.1   346999   1932     3594    113270  1952
        64989    99.0   365385   1870     3547    115094  1953
        63761   100.0   363112   3578     3350    116219  1954
        66019   101.2   397469   2904     3048    117388  1955
        67857   104.6   419180   2822     2857    118734  1956
        68169   108.4   442769   2936     2798    120445  1957
        66513   110.8   444546   4681     2637    121950  1958
        68655   112.6   482704   3813     2552    123366  1959
        69564   114.2   502601   3931     2514    125368  1960
        69331   115.7   518173   4806     2572    127852  1961
        70551   116.9   554894   4007     2827    130081  1962