Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1351 | 1325.67314843956 | 25.3268515604386 |
14 | 2211 | 2175.17007602979 | 35.8299239702087 |
15 | 2453 | 2417.38047870524 | 35.619521294755 |
16 | 3042 | 2993.08120691172 | 48.9187930882804 |
17 | 4765 | 4690.8914041574 | 74.1085958426038 |
18 | 4992 | 4915.3982232269 | 76.6017767730964 |
19 | 4601 | 4548.80447484791 | 52.1955251520876 |
20 | 6266 | 6501.21656954778 | -235.216569547776 |
21 | 4812 | 4681.78202297392 | 130.217977026077 |
22 | 3159 | 3052.28190202208 | 106.718097977923 |
23 | 1916 | 1901.18721872033 | 14.8127812796731 |
24 | 2237 | 2083.46592721638 | 153.534072783622 |
25 | 1595 | 1390.04234789620 | 204.957652103798 |
26 | 2453 | 2274.74185435041 | 178.258145649585 |
27 | 2226 | 2523.54908394488 | -297.549083944876 |
28 | 3597 | 3129.2797341701 | 467.720265829899 |
29 | 4706 | 4901.38919535208 | -195.389195352082 |
30 | 4974 | 5134.54663409665 | -160.546634096650 |
31 | 5756 | 4732.06973178163 | 1023.93026821837 |
32 | 5493 | 6444.07821864397 | -951.078218643966 |
33 | 5004 | 4948.43277147129 | 55.5672285287146 |
34 | 3225 | 3248.35478283920 | -23.3547828391957 |
35 | 2006 | 1970.06811023505 | 35.9318897649521 |
36 | 2291 | 2299.97839372023 | -8.97839372023054 |
37 | 1588 | 1639.79902715819 | -51.7990271581941 |
38 | 2105 | 2521.73692872997 | -416.736928729972 |
39 | 2191 | 2288.23071382301 | -97.2307138230103 |
40 | 3591 | 3697.32506853949 | -106.325068539491 |
41 | 4668 | 4836.95217044497 | -168.952170444973 |
42 | 4885 | 5112.08949621537 | -227.089496215372 |
43 | 5822 | 5915.43073937987 | -93.4307393798745 |
44 | 5599 | 5644.79574515114 | -45.795745151142 |
45 | 5340 | 5141.96481026847 | 198.035189731531 |
46 | 3082 | 3313.71234637878 | -231.712346378783 |
47 | 2010 | 2061.05425348902 | -51.054253489016 |
48 | 2301 | 2353.73254583912 | -52.7325458391233 |
49 | 1514 | 1631.38388665256 | -117.383886652562 |
50 | 1979 | 2162.37760879342 | -183.377608793421 |
51 | 2480 | 2250.58642769829 | 229.413572301713 |
52 | 3499 | 3688.43999092501 | -189.439990925013 |
53 | 4676 | 4794.37808067904 | -118.378080679036 |
54 | 5585 | 5016.95527768273 | 568.044722317265 |
55 | 5610 | 5978.91262488975 | -368.912624889754 |
56 | 5796 | 5749.56423925193 | 46.4357607480651 |
57 | 6199 | 5483.27832142343 | 715.721678576568 |
58 | 3030 | 3164.5091085043 | -134.509108504300 |
59 | 1930 | 2063.69050781928 | -133.690507819285 |
60 | 2552 | 2362.32709862512 | 189.672901374883 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1554.26226134105 | 974.562714429145 | 2133.96180825295 |
62 | 2031.51177562162 | 1451.81222870972 | 2611.21132253352 |
63 | 2545.66037139168 | 1965.96082447978 | 3125.35991830359 |
64 | 3591.43542773787 | 3011.73588082597 | 4171.13497464977 |
65 | 4799.25767707737 | 4219.55813016547 | 5378.95722398928 |
66 | 5731.89591297263 | 5152.19636606073 | 6311.59545988453 |
67 | 5757.2307559684 | 5177.5312090565 | 6336.9303028803 |
68 | 5947.78025575339 | 5368.08070884149 | 6527.47980266529 |
69 | 6360.98016267635 | 5781.28061576445 | 6940.67970958825 |
70 | 3109.00201585648 | 2529.30246894458 | 3688.70156276838 |
71 | 1980.21231609032 | 1400.51276917842 | 2559.91186300222 |
72 | 2618.25109443243 | 2570.32721290493 | 2666.17497595992 |