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0001 NIST/ITL StRD 0002 Dataset Name: Longley (Longley.dat) 0003 0004 File Format: ASCII 0005 Certified Values (lines 31 to 51) 0006 Data (lines 61 to 76) 0007 0008 Procedure: Linear Least Squares Regression 0009 0010 Reference: Longley, J. W. (1967). 0011 An Appraisal of Least Squares Programs for the 0012 Electronic Computer from the Viewpoint of the User. 0013 Journal of the American Statistical Association, 62, pp. 819-841. 0014 0015 Data: 1 Response Variable (y) 0016 6 Predictor Variable (x) 0017 16 Observations 0018 Higher Level of Difficulty 0019 Observed Data 0020 0021 Model: Polynomial Class 0022 7 Parameters (B0,B1,...,B7) 0023 0024 y = B0 + B1*x1 + B2*x2 + B3*x3 + B4*x4 + B5*x5 + B6*x6 + e 0025 0026 Certified Regression Statistics 0027 0028 Standard Deviation 0029 Parameter Estimate of Estimate 0030 0031 B0 -3482258.63459582 890420.383607373 0032 B1 15.0618722713733 84.9149257747669 0033 B2 -0.358191792925910E-01 0.334910077722432E-01 0034 B3 -2.02022980381683 0.488399681651699 0035 B4 -1.03322686717359 0.214274163161675 0036 B5 -0.511041056535807E-01 0.226073200069370 0037 B6 1829.15146461355 455.478499142212 0038 0039 Residual 0040 Standard Deviation 304.854073561965 0041 0042 R-Squared 0.995479004577296 0043 0044 0045 Certified Analysis of Variance Table 0046 0047 Source of Degrees of Sums of Mean 0048 Variation Freedom Squares Squares F Statistic 0049 0050 Regression 6 184172401.944494 30695400.3240823 330.285339234588 0051 Residual 9 836424.055505915 92936.0061673238 0052 0053 0054 0055 0056 0057 0058 0059 0060 Data: y x1 x2 x3 x4 x5 x6 0061 60323 83.0 234289 2356 1590 107608 1947 0062 61122 88.5 259426 2325 1456 108632 1948 0063 60171 88.2 258054 3682 1616 109773 1949 0064 61187 89.5 284599 3351 1650 110929 1950 0065 63221 96.2 328975 2099 3099 112075 1951 0066 63639 98.1 346999 1932 3594 113270 1952 0067 64989 99.0 365385 1870 3547 115094 1953 0068 63761 100.0 363112 3578 3350 116219 1954 0069 66019 101.2 397469 2904 3048 117388 1955 0070 67857 104.6 419180 2822 2857 118734 1956 0071 68169 108.4 442769 2936 2798 120445 1957 0072 66513 110.8 444546 4681 2637 121950 1958 0073 68655 112.6 482704 3813 2552 123366 1959 0074 69564 114.2 502601 3931 2514 125368 1960 0075 69331 115.7 518173 4806 2572 127852 1961 0076 70551 116.9 554894 4007 2827 130081 1962