Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.828031507927449 |
beta | 0.0238508238386854 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1683 | 1608.82688568856 | 74.173114311443 |
14 | 1381 | 1357.91369803671 | 23.0863019632907 |
15 | 1071 | 1066.28848584284 | 4.71151415715826 |
16 | 2772 | 2785.53972128617 | -13.5397212861740 |
17 | 4485 | 4545.20556285968 | -60.2055628596772 |
18 | 6181 | 6316.13672702229 | -135.136727022292 |
19 | 5479 | 4832.39132443641 | 646.60867556359 |
20 | 4782 | 5000.19699281017 | -218.196992810166 |
21 | 4067 | 4452.10689138544 | -385.106891385442 |
22 | 3489 | 3886.04616744914 | -397.046167449143 |
23 | 2903 | 3260.85490757784 | -357.854907577836 |
24 | 2330 | 2655.72885525292 | -325.728855252919 |
25 | 1736 | 1322.58623241317 | 413.41376758683 |
26 | 1483 | 1344.55721732629 | 138.442782673713 |
27 | 1242 | 1126.73212815318 | 115.267871846817 |
28 | 2334 | 3177.97827150418 | -843.97827150418 |
29 | 3423 | 4040.06744600806 | -617.067446008059 |
30 | 4523 | 4918.78016910112 | -395.780169101118 |
31 | 3986 | 3634.74365214425 | 351.256347855753 |
32 | 3462 | 3527.23052753161 | -65.2305275316098 |
33 | 2908 | 3158.16172619785 | -250.161726197848 |
34 | 2575 | 2744.05834623958 | -169.058346239581 |
35 | 2237 | 2365.38877749005 | -128.388777490051 |
36 | 1904 | 2004.33273938258 | -100.332739382581 |
37 | 1610 | 1130.67522592317 | 479.32477407683 |
38 | 1251 | 1198.90329836119 | 52.0967016388136 |
39 | 941 | 955.488148912645 | -14.4881489126451 |
40 | 2450 | 2261.01843060231 | 188.981569397691 |
41 | 3946 | 4061.70666127552 | -115.706661275522 |
42 | 5409 | 5632.51938345435 | -223.519383454351 |
43 | 4741 | 4463.70607781966 | 277.293922180342 |
44 | 4069 | 4153.60882164347 | -84.608821643471 |
45 | 3539 | 3683.19537392962 | -144.195373929622 |
46 | 3189 | 3339.77686084301 | -150.776860843009 |
47 | 2960 | 2938.66957330701 | 21.3304266929872 |
48 | 2704 | 2641.60669293092 | 62.3933070690814 |
49 | 1697 | 1699.11320866254 | -2.11320866254096 |
50 | 1598 | 1273.45633975121 | 324.543660248789 |
51 | 1456 | 1178.62199538218 | 277.378004617822 |
52 | 2316 | 3451.24944071099 | -1135.24944071099 |
53 | 3083 | 4139.73061534856 | -1056.73061534856 |
54 | 4158 | 4601.15720943110 | -443.157209431104 |
55 | 3469 | 3504.3834670024 | -35.3834670024021 |
56 | 2892 | 3008.05001865794 | -116.050018657943 |
57 | 2578 | 2593.80801454288 | -15.8080145428780 |
58 | 2233 | 2395.13960123425 | -162.139601234248 |
59 | 1947 | 2066.11658394733 | -119.116583947327 |
60 | 2049 | 1742.94071949305 | 306.059280506953 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1244.68194867836 | 561.971603604106 | 1927.39229375260 |
62 | 960.496174209674 | 143.389829012212 | 1777.60251940714 |
63 | 724.153742216713 | -158.87865004749 | 1607.18613448091 |
64 | 1560.72603964466 | -331.275912624212 | 3452.72799191354 |
65 | 2611.86068960467 | -649.329843687843 | 5873.05122289719 |
66 | 3815.91764761312 | -1095.80710359984 | 8727.64239882609 |
67 | 3207.60637079217 | -1076.64551685901 | 7491.85825844334 |
68 | 2760.52415725046 | -1072.73212523263 | 6593.78043973356 |
69 | 2473.99289193048 | -1101.44868362714 | 6049.4344674881 |
70 | 2271.16634397577 | -1147.36078808421 | 5689.69347603576 |
71 | 2084.18226056431 | -1186.62190441156 | 5354.98642554018 |
72 | 1922.31883787362 | -1151.61036806363 | 4996.24804381086 |