Tourism Hospitality Research

TABLE 3

FROM:

Forecasting and evaluating the tourist hotel industry performance in Taiwan based on Grey theory

Wann-Yih Wu, Shih-Wen Hsiao and Cheng-Hung Tsai

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Table 3. The forecasting results and accuracy for three GM(1,1) models

  Actual output value (NT$) GM model 1 GM model 2 Regression model 3
   Total 4-point Time series
Year   Forecasted output value Residual error % Forecasted output value Residual error % Forecasted output value Residual error %
199221,465,831,998      
199322,234,633,52327,140,759,13222.0722,303,251,7450.4225,678,402,79815.49
199425,750,153,63227,881,043,0388.2825,522,235,7771.3826,698,452,0313.68
199529,184,689,73228,641,518,7241.8629,205,809,3810.4227,718,501,2635.02
199631,053,639,91629,422,736,9375.2533,421,025,8481.7828,738,550,4967.46
199733,641,675,51730,225,263,44410.1634,305,310,5310.3029,758,599,72811.54
199833,642,930,22131,049,679,4437.7136,022,076,7270.2930,778,648,9608.51
199934,108,824,58531,896,581,9886.4935,414,710,4240.0031,798,698,1936.77
200034,137,942,56732,766,584,4144.0234,268,598,7420.3332,818,747,4253.86
200134,167,060,54933,660,316,7881.4834,460,034,4481.5433,838,796,6580.96
200233,689,914,91134,578,426,3612.6434,196,217,8594.6034,858,845,8903.47
200330,994,491,15435,521,578,03914.6133,553,714,0090.3735,878,895,12215.76
200435,051,785,07536,490,454,8644.1029,931,108,22536,898,944,3555.27
200538,917,856,69337,485,758,5073.6834,677,915,62637,918,993,5872.57
2006(Forecast)38,508,209,780 43,621,068,618 38,939,042,820 
        
The grades of forecasting accuracy
   GM model 1 GM model 2 Time series model 3
Average residual errorUseful7.10% Useful1.04% Residual error6.95%
Accuracy rate 92.90%  98.96% Accuracy rate93.05%
        
C Just the mark0.52Good0.29 R 2 0.72
P  0.85 0.97 R macr ital 2 0.70
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