1NIST/ITL StRD
2Dataset Name:  Wampler3 (Wampler3.dat)
3
4File Format:   ASCII
5               Certified Values  (lines 31 to 50)
6               Data              (lines 61 to 81)
7
8Procedure:     Linear Least Squares Regression
9
10Reference:     Wampler, R. H. (1970).
11               A Report of the Accuracy of Some Widely-Used Least
12               Squares Computer Programs.
13               Journal of the American Statistical Association, 65, pp. 549-565.
14
15Data:          1 Response Variable (y)
16               1 Predictor Variable (x)
17               21 Observations
18               Higher Level of Difficulty
19               Generated Data
20
21Model:         Polynomial Class
22               6 Parameters (B0,B1,...,B5)
23
24               y = B0 + B1*x + B2*(x**2) + B3*(x**3)+ B4*(x**4) + B5*(x**5)
25
26               Certified Regression Statistics
27
28                                          Standard Deviation
29     Parameter          Estimate             of Estimate
30
31        B0        1.00000000000000         2152.32624678170
32        B1        1.00000000000000         2363.55173469681
33        B2        1.00000000000000         779.343524331583
34        B3        1.00000000000000         101.475507550350
35        B4        1.00000000000000         5.64566512170752
36        B5        1.00000000000000         0.112324854679312
37
38     Residual
39     Standard Deviation   2360.14502379268
40
41     R-Squared            0.999995559025820
42
43
44               Certified Analysis of Variance Table
45
46Source of Degrees of     Sums of              Mean
47Variation  Freedom       Squares             Squares           F Statistic
48
49Regression    5      18814317208116.7    3762863441623.33   675524.458240122
50Residual     15      83554268.0000000    5570284.53333333
51
52
53
54
55
56
57
58
59
60Data:           y      x
61              760.     0
62            -2042.     1
63             2111.     2
64            -1684.     3
65             3888.     4
66             1858.     5
67            11379.     6
68            17560.     7
69            39287.     8
70            64382.     9
71           113159.    10
72           175108.    11
73           273291.    12
74           400186.    13
75           581243.    14
76           811568.    15
77          1121004.    16
78          1506550.    17
79          2002767.    18
80          2611612.    19
81          3369180.    20
82