[Retracted] Measurement of Coordination Degree between Economy and Logistics in Hebei Province, China, Based on Fractional Grey Model (1, 1)

Table 9

Fitting values and errors of economic and logistic indices.

Year	X1				X2
	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)
2011	9840.5	9840.5	9840.5	9840.5	7.1	7.10	7.10	7.10
2012	10844.84	11459.98	11466.12	10844.84	7.6	8.11	8.12	7.60
2013	12003.78	11777.87	11782.93	11718.3	8.9	8.54	8.55	8.44
2014	12968.8	12104.58	12108.5	12325.11	9.5	9.00	9.01	9.14
2015	12024.94	12440.35	12443.06	12772.18	9.1	9.48	9.49	9.74
2016	12339.25	12785.44	12786.87	13113.33	9.5	9.99	9.99	10.27
2017	13383.62	13140.1	13140.17	13378.83	10.9	10.52	10.52	10.75
2018	13876.71	13504.59	13503.24	13587.44	11.6	11.08	11.08	11.19
2019	14179.5	13879.21	13876.34	13751.65	11.6	11.68	11.68	11.60
2020	13735.5	14264.21	14259.75	13880.23	12.0	12.30	12.30	11.99
Order		1		0.7936		1		0.7441
MAPE (%)		3.529	3.530	2.891		4.04	4.04	3.23
Year	X3				X4
	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)
2011	537.56	537.56	537.56	537.56	156965	156965	156965	156965
2012	572.69	185.13	208.71	480.00	163045	168900.78	168921.17	163150.10
2013	728.74	271.36	306.45	579.63	174492	173007.19	173025.40	172426.11
2014	825.54	397.77	449.97	768.62	179200	177213.43	177229.35	179200.00
2015	998.00	583.05	660.68	1066.16	184553	181521.94	181535.44	184528.38
2016	1545.20	854.63	970.08	1515.88	188431	185935.20	185946.15	188926.58
2017	1364.50	1252.72	1424.37	2186.49	191693	190455.76	190464.03	192675.54
2018	3165.40	1836.24	2091.39	3181.09	193252	195086.22	195091.68	195944.65
2019	5300.20	2691.57	3070.78	4652.59	197000	199829.27	199831.76	198843.94
2020	6827.10	3945.32	4508.82	6827.10	205000	204687.63	204687.02	201449.02
Order		1		0.3858		1		0.8746
MAPE (%)		45.57	39.15	13.91		1.3	1.298	0.678
Year	X5				X6
	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)
2011	832.5	832.50	832.50	832.50	2046.2	2046.2	2046.2	2046.2
2012	957.6	916.87	917.82	916.64	2241.1	2253.142	2254.419	2241.107
2013	1035.6	996.87	997.87	1005.14	2377.6	2319.768	2320.828	2318.881
2014	997.0	1083.84	1084.90	1098.16	2490.1	2388.364	2389.193	2392.468
2015	1137.1	1178.41	1179.52	1195.90	2479.9	2458.989	2459.571	2464.998
2016	1291.7	1281.23	1282.40	1298.62	2403	2531.702	2532.023	2537.667
2017	1413.8	1393.01	1394.24	1406.55	2494.9	2606.565	2606.609	2611.081
2018	1552.5	1514.55	1515.84	1519.96	2560.7	2683.642	2683.392	2685.598
2019	1666.7	1646.70	1648.05	1639.12	2916	2762.998	2762.437	2761.462
2020	1763.1	1790.37	1791.78	1764.34	2890.6	2844.7	2843.811	2838.848
Order		1		0.00022		1		0.9842
MAPE (%)		3.09	3.062	3.045		3.263	3.264	3.247
Year	X7				Y1
	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)
2011	1399.1	1399.10	1399.10	1399.10	8224.4	8224.40	8224.40	8224.40
2012	1513	1671.96	1676.14	1515.20	9387.3	9279.95	9289.27	9279.88
2013	2094.3	1790.79	1794.58	1651.09	10038.9	10171.93	10182.30	10171.92
2014	2025.9	1918.07	1921.39	1801.28	10953.5	11149.64	11161.19	11149.66
2015	2035.7	2054.40	2057.16	1965.17	11978.7	12221.33	12234.19	12221.36
2016	2081.3	2200.42	2202.53	2143.20	13276.6	13396.03	13410.34	13396.07
2017	2116.3	2356.81	2358.17	2336.16	15039.6	14683.65	14699.55	14683.67
2018	2581.89	2524.32	2524.81	2545.06	16632.2	16095.02	16112.71	16095.03
2019	2646.43	2703.73	2703.22	2771.06	17988.8	17642.06	17661.73	17642.05
2020	3048.69	2895.90	2894.24	3015.47	18729.6	19337.79	19359.66	19337.75
Order		1		0.0211		1		0.9999
MAPE (%)		6.415	6.443	6.272		1.995	2.008	1.995
Year	Y2				Y3
	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)
2011	24228.2	24228.20	24228.20	24228.20	1737.4	1737.40	1737.40	1737.40
2012	26575	27244.98	27261.88	26305.15	2084.2	2115.77	2117.53	2084.20
2013	28301.4	28355.73	28370.47	28146.22	2293.5	2289.19	2291.05	2284.63
2014	29421.2	29511.76	29524.13	29777.98	2446.6	2476.81	2478.79	2485.43
2015	29806.1	30714.92	30724.71	31224.21	2648.5	2679.82	2681.92	2694.31
2016	31827.9	31967.14	31974.11	32505.97	2850.8	2899.46	2901.70	2914.76
2017	35964	33270.41	33274.31	33641.96	3233.3	3137.11	3139.48	3149.04
2018	36010.3	34626.81	34627.39	34648.75	3513.7	3394.23	3396.75	3399.00
2019	35104.5	36038.50	36035.49	35541.05	3742.7	3672.43	3675.10	3666.31
2020	36206.9	37507.76	37500.85	36331.86	3826.4	3973.43	3976.26	3952.62
Order		1		0.00001		1		0.9588
MAPE (%)		2.677	2.696	2.388		1.991	2.002	1.906
Year	Y4				Y5
	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)
2011	16404.3	16404.3	16404.3	16404.3	18292.23	18292.23	18292.23	18292.23
2012	19661.3	22432.75	22462.54	19728.65	20543.44	20792.23	20803.64	20543.36
2013	23194.2	24144.8	24173.61	23322.31	22226.75	22419.99	22432.85	22379.42
2014	26671.9	25987.5	26015.01	26483.37	24141.34	24175.18	24189.65	24239.57
2015	29448.3	27970.83	27996.68	29231.83	26152.16	26067.78	26084.03	26180.36
2016	31750	30105.54	30129.3	31626.63	28249.39	28108.55	28126.76	28229.51
2017	33406.8	32403.15	32424.37	33719.99	30547.76	30309.08	30329.47	30405.88
2018	35310.99	34876.13	34894.27	35554.4	32977.18	32681.89	32704.68	32725.06
2019	37464.96	37537.83	37552.31	37164.25	35738	35240.45	35265.91	35201.43
2020	38551.44	40402.67	40412.82	38577.75	37286	37999.31	38027.71	37849.09
Order		1		0.3222		1		0.9655
MAPE(%)		4.466	4.461	0.581		0.892	0.882	0.613
Year	Y6				Y7
	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)	Origin	GM (1, 1)	DGM (1, 1)	FGM (1, 1)
2011	3461.9	3461.90	3461.90	3461.90	8035.5	8035.50	8035.50	8035.50
2012	3190.96	3096.03	3103.43	3313.71	9154	10742.42	10812.76	9604.11
2013	3398.83	3198.97	3204.98	3263.15	10516.7	11356.51	11416.04	11001.34
2014	3678.3	3305.33	3309.85	3254.71	11690.1	12005.71	12052.98	12096.56
2015	3206.38	3415.22	3418.15	3281.05	12934.7	12692.03	12725.45	12934.70
2016	3074.7	3528.77	3530.00	3346.93	14364.7	13417.57	13435.45	13566.45
2017	3375.8	3646.09	3645.50	3465.00	15907.6	14184.60	14185.06	14034.43
2018	3551.6	3767.32	3764.79	3656.62	16537.1	14995.47	14976.49	14372.89
2019	4001.6	3892.57	3887.98	3954.94	17934.2	15852.69	15812.08	14609.10
2020	4410.4	4021.99	4015.19	4410.07	12705	16758.92	16694.28	14764.73
Order		1		0.0488		1		0.1707
MAPE (%)		7.321	7.296	4.146		11.131	11.262	8.686