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0001 NIST/ITL StRD 0002 Dataset Name: Wampler4 (Wampler4.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 215232.624678170 0032 B1 1.00000000000000 236355.173469681 0033 B2 1.00000000000000 77934.3524331583 0034 B3 1.00000000000000 10147.5507550350 0035 B4 1.00000000000000 564.566512170752 0036 B5 1.00000000000000 11.2324854679312 0037 0038 Residual 0039 Standard Deviation 236014.502379268 0040 0041 R-Squared 0.957478440825662 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 67.5524458240122 0050 Residual 15 835542680000.000 55702845333.3333 0051 0052 0053 0054 0055 0056 0057 0058 0059 0060 Data: y x 0061 75901 0 0062 -204794 1 0063 204863 2 0064 -204436 3 0065 253665 4 0066 -200894 5 0067 214131 6 0068 -185192 7 0069 221249 8 0070 -138370 9 0071 315911 10 0072 -27644 11 0073 455253 12 0074 197434 13 0075 783995 14 0076 608816 15 0077 1370781 16 0078 1303798 17 0079 2205519 18 0080 2408860 19 0081 3444321 20