Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.00409143795748759 |
beta | 0 |
gamma | 0.312432034412726 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1580 | 1596.64202958955 | -16.6420295895489 |
14 | 2111 | 2129.60340771504 | -18.6034077150352 |
15 | 2192 | 2200.19945235032 | -8.19945235031901 |
16 | 3601 | 3607.37333716792 | -6.37333716792227 |
17 | 4665 | 4681.55356708701 | -16.5535670870149 |
18 | 4876 | 4892.2510712559 | -16.2510712559024 |
19 | 5813 | 5768.80574812291 | 44.1942518770938 |
20 | 5589 | 5503.17301537926 | 85.8269846207377 |
21 | 5331 | 5044.61664446486 | 286.383355535139 |
22 | 3075 | 3259.29488140586 | -184.29488140586 |
23 | 2002 | 2012.69275419659 | -10.6927541965881 |
24 | 2306 | 2313.67725935304 | -7.6772593530377 |
25 | 1507 | 1593.50731045476 | -86.5073104547555 |
26 | 1992 | 2126.16012263667 | -134.160122636669 |
27 | 2487 | 2199.5855103319 | 287.414489668096 |
28 | 3490 | 3610.55232651715 | -120.552326517148 |
29 | 4647 | 4682.49173411111 | -35.4917341111068 |
30 | 5594 | 4893.47615793152 | 700.523842068485 |
31 | 5611 | 5793.45786647775 | -182.457866477747 |
32 | 5788 | 5539.41308951627 | 248.586910483727 |
33 | 6204 | 5143.17334987534 | 1060.82665012466 |
34 | 3013 | 3209.80359445223 | -196.803594452227 |
35 | 1931 | 2014.26202670377 | -83.2620267037669 |
36 | 2549 | 2316.57849190663 | 232.421508093367 |
37 | 1504 | 1570.83524330887 | -66.8352433088735 |
38 | 2090 | 2090.16079628078 | -0.160796280777959 |
39 | 2702 | 2295.87979867975 | 406.120201320255 |
40 | 2939 | 3584.50249058499 | -645.50249058499 |
41 | 4500 | 4683.62383939229 | -183.623839392291 |
42 | 6208 | 5123.97695887451 | 1084.02304112549 |
43 | 6415 | 5752.49132712536 | 662.508672874643 |
44 | 5657 | 5635.60827134571 | 21.391728654291 |
45 | 5964 | 5490.42830242939 | 473.571697570614 |
46 | 3163 | 3157.04216404387 | 5.95783595613466 |
47 | 1997 | 1994.2269693593 | 2.77303064070179 |
48 | 2422 | 2396.34606526106 | 25.6539347389416 |
49 | 1376 | 1554.31761099591 | -178.317610995905 |
50 | 2202 | 2095.2651508234 | 106.734849176597 |
51 | 2683 | 2428.63357339648 | 254.366426603521 |
52 | 3303 | 3391.55315921191 | -88.5531592119146 |
53 | 5202 | 4640.40775910439 | 561.59224089561 |
54 | 5231 | 5481.01285110977 | -250.012851109766 |
55 | 4880 | 5974.10206659195 | -1094.10206659195 |
56 | 7998 | 5650.1017592069 | 2347.8982407931 |
57 | 4977 | 5655.06989136647 | -678.069891366475 |
58 | 3531 | 3165.93924434904 | 365.06075565096 |
59 | 2025 | 2000.46548476609 | 24.534515233913 |
60 | 2205 | 2410.91290747272 | -205.912907472718 |
61 | 1442 | 1502.32085543747 | -60.3208554374728 |
62 | 2238 | 2134.1093259122 | 103.890674087801 |
63 | 2179 | 2514.36793184533 | -335.367931845331 |
64 | 3218 | 3369.59330263644 | -151.59330263644 |
65 | 5139 | 4822.70026477856 | 316.299735221443 |
66 | 4990 | 5410.54856095396 | -420.548560953957 |
67 | 4914 | 5640.3262536018 | -726.326253601804 |
68 | 6084 | 6388.66882451101 | -304.668824511006 |
69 | 5672 | 5441.56056818169 | 230.439431818307 |
70 | 3548 | 3280.19389655637 | 267.806103443633 |
71 | 1793 | 2008.26233271593 | -215.262332715928 |
72 | 2086 | 2345.86379833904 | -259.863798339044 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 1482.79040661819 | 1187.52700560595 | 1778.05380763043 |
74 | 2165.67736383751 | 1870.36093221878 | 2460.99379545625 |
75 | 2408.64439976421 | 2113.28467259211 | 2704.00412693631 |
76 | 3322.41523138564 | 3026.9213506794 | 3617.90911209188 |
77 | 4921.99675263301 | 4626.17340000406 | 5217.82010526196 |
78 | 5279.20609564212 | 4983.27021507519 | 5575.14197620905 |
79 | 5415.47312589959 | 5119.47618257188 | 5711.4700692273 |
80 | 6298.64019243037 | 6002.35162112633 | 6594.92876373441 |
81 | 5518.52118933008 | 5222.45166243757 | 5814.5907162226 |
82 | 3366.12709165848 | 3070.5543310839 | 3661.69985223305 |
83 | 1942.12357951127 | 1646.74891152795 | 2237.4982474946 |
84 | 2266.97895549237 | 1808.49942541994 | 2725.45848556479 |