Statistical Methods in Medical Research 4ed

380 Further regression models
Table 12.1 Trend in population of England and Wales between 1801 and 1971 fitted by polynomials
up to the sixth degree.
Year
Population,
England and Wales
(millions)
Values predicted by polynomial of degree:
1 2 3 4 5 6
1801 8 89 6 88 7 42 9 11 9 20 8 61 8 78
11 10 16 9 36 9 71 10 19 10 18 10 63 10 38
21 12 00 11 84 12 02 11 68 11 62 12 20 12 05
31 13 90 14 32 14 36 13 52 13 45 13 73 13 80
41 15 91 16 80 16 72 15 66 15 61 15 50 15 69
51 17 93 19 28 19 10 18 05 18 04 17 64 17 82
61 20 07 21 76 21 51 20 64 20 66 20 18 20 24
71 22 71 24 24 23 94 23 39 23 43 23 06 22 97
81 25 97 26 71 26 40 26 23 26 29 26 16 25 98
91 29 00 29 19 28 88 29 13 29 18 29 34 29 17
1901 32 53 31 67 31 38 32 03 32 06 32 45 32 37
11 36 07 34 15 33 91 34 87 34 88 35 34 35 40
21 37 89 36 63 36 46 37 61 37 58 37 92 38 10
31 39 95 39 11 39 04 40 20 40 14 40 16 40 36
41 Ð
51 43 76 44 07 44 26 44 72 44 64 43 95 43 83
61 46 10 46 55 46 91 46 55 46 52 46 00 45 76
71 48 75 49 03 49 58 48 02 48 10 48 73 48 89
(81 49 15) (51 51 52 28 49 09 49 36 52 82 54 64)
Multiple correlation coefficient 0 9964 0 9966 0 9991 0 9991 0 9997 0 9998
Residual MSq 1 354 1 346 0 365 0 392 0 139 0 109
DF 15 14 13 12 11 10
t for highest-degree term 45 23 1 05 6 21 0 34 4 78 2 02
P