序号 | 年份 | 原始数据 | GM(1,1)模型 | 灰色–回归模型 | ||
拟合数据 | 相对误差 | 拟合数据 | 相对误差 | |||
1 | 2005 | 374,970 | 374,970 | 0.00% | 387462.6 | 3.33% |
2 | 2006 | 411,985 | 489452.365 | 18.80% | 472,933 | 14.79% |
3 | 2007 | 458,611 | 528960.749 | 15.34% | 517320.4 | 12.80% |
4 | 2008 | 577,493 | 569397.982 | 1.40% | 562096.9 | 2.67% |
5 | 2009 | 585,868 | 610785.902 | 4.25% | 607265.5 | 3.65% |
6 | 2010 | 668,250 | 653146.859 | 2.26% | 652829.7 | 2.31% |
7 | 2011 | 760,045 | 696503.729 | 8.36% | 698793.3 | 8.06% |
8 | 2012 | 829,197 | 740879.927 | 10.65% | 745159.2 | 10.14% |
9 | 2013 | 830,209 | 786299.417 | 5.29% | 791931.6 | 4.61% |
10 | 2014 | 928,182 | 832786.726 | 10.28% | 839113.8 | 9.60% |
11 | 2015 | 849,354 | 880366.961 | 3.65% | 886709.2 | 4.40% |
12 | 2016 | 883,907 | 929065.815 | 5.11% | 934721.7 | 5.75% |
13 | 2017 | 976,763 | 978909.588 | 0.22% | 983154.7 | 0.65% |
14 | 2018 | 1,029,933 | 1029925.196 | 0.00% | 1032012 | 0.20% |
15 | 2019 | 1,047,297 | 1082140.191 | 3.33% | 1081297.6 | 3.25% |
16 | 2020 | 1,101,976 | 1135582.768 | 3.05% | 1131014.7 | 2.64% |
17 | 2021 | 1,191,028 | 1190281.79 | 0.06% | 1181167.3 | 0.83% |
对未来五年进行预测 | 预测数据 | 相对误差 | 预测数据 | 相对误差 | ||
18 | 2022 |
| 1246266.796 |
| 1231759.496 |
|
19 | 2023 |
| 1303568.018 |
| 1282794.66 |
|
20 | 2024 |
| 1362216.403 |
| 1334277.152 |
|
21 | 2025 |
| 1422243.621 |
| 1386210.599 |
|
22 | 2026 |
| 1483682.089 |
| 1438599.114 |
|
平均相对误差 |
| 5.42% |
| 5.27% |