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0001 NIST/ITL StRD 0002 Dataset Name: Wampler3 (Wampler3.dat) 0003 0004 File Format: ASCII 0005 Certified Values (lines 31 to 50) 0006 Data (lines 61 to 81) 0007 0008 Procedure: Linear Least Squares Regression 0009 0010 Reference: Wampler, R. H. (1970). 0011 A Report of the Accuracy of Some Widely-Used Least 0012 Squares Computer Programs. 0013 Journal of the American Statistical Association, 65, pp. 549-565. 0014 0015 Data: 1 Response Variable (y) 0016 1 Predictor Variable (x) 0017 21 Observations 0018 Higher Level of Difficulty 0019 Generated Data 0020 0021 Model: Polynomial Class 0022 6 Parameters (B0,B1,...,B5) 0023 0024 y = B0 + B1*x + B2*(x**2) + B3*(x**3)+ B4*(x**4) + B5*(x**5) 0025 0026 Certified Regression Statistics 0027 0028 Standard Deviation 0029 Parameter Estimate of Estimate 0030 0031 B0 1.00000000000000 2152.32624678170 0032 B1 1.00000000000000 2363.55173469681 0033 B2 1.00000000000000 779.343524331583 0034 B3 1.00000000000000 101.475507550350 0035 B4 1.00000000000000 5.64566512170752 0036 B5 1.00000000000000 0.112324854679312 0037 0038 Residual 0039 Standard Deviation 2360.14502379268 0040 0041 R-Squared 0.999995559025820 0042 0043 0044 Certified Analysis of Variance Table 0045 0046 Source of Degrees of Sums of Mean 0047 Variation Freedom Squares Squares F Statistic 0048 0049 Regression 5 18814317208116.7 3762863441623.33 675524.458240122 0050 Residual 15 83554268.0000000 5570284.53333333 0051 0052 0053 0054 0055 0056 0057 0058 0059 0060 Data: y x 0061 760. 0 0062 -2042. 1 0063 2111. 2 0064 -1684. 3 0065 3888. 4 0066 1858. 5 0067 11379. 6 0068 17560. 7 0069 39287. 8 0070 64382. 9 0071 113159. 10 0072 175108. 11 0073 273291. 12 0074 400186. 13 0075 581243. 14 0076 811568. 15 0077 1121004. 16 0078 1506550. 17 0079 2002767. 18 0080 2611612. 19 0081 3369180. 20