Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0451179389646938 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 434.07 | 434.37 | -0.300000000000011 |
4 | 434.52 | 433.996464618311 | 0.523535381689385 |
5 | 433.52 | 434.470085455707 | -0.950085455707494 |
6 | 433.52 | 433.427219558106 | 0.0927804418943197 |
7 | 433.52 | 433.43140562042 | 0.0885943795798312 |
8 | 433.26 | 433.435402816231 | -0.175402816230644 |
9 | 433.63 | 433.167489002674 | 0.462510997326262 |
10 | 434.67 | 433.558356545622 | 1.11164345437845 |
11 | 432.87 | 434.648511607147 | -1.77851160714675 |
12 | 432.49 | 432.768268829008 | -0.278268829007516 |
13 | 432.5 | 432.375713912965 | 0.124286087035443 |
14 | 430.88 | 432.391321445054 | -1.51132144505357 |
15 | 431.64 | 430.70313373634 | 0.936866263660363 |
16 | 433.7 | 431.505403211242 | 2.19459678875847 |
17 | 434.47 | 433.664418895209 | 0.805581104791202 |
18 | 434.38 | 434.470765054326 | -0.0907650543259706 |
19 | 434.9 | 434.376669922145 | 0.523330077855235 |
20 | 435.3 | 434.920281496656 | 0.379718503344236 |
21 | 435.37 | 435.337413612913 | 0.0325863870865533 |
22 | 436.61 | 435.408883843537 | 1.20111615646294 |
23 | 436.08 | 436.703075728974 | -0.623075728973902 |
24 | 436.08 | 436.144963836264 | -0.0649638362636438 |
25 | 436.08 | 436.142032801864 | -0.062032801864234 |
26 | 435.99 | 436.139234009696 | -0.149234009695874 |
27 | 437.72 | 436.042500878755 | 1.67749912124503 |
28 | 438.73 | 437.848186181721 | 0.88181381827934 |
29 | 437.7 | 438.897971803752 | -1.19797180375201 |
30 | 438.13 | 437.813921785029 | 0.316078214971128 |
31 | 438.13 | 438.25818258264 | -0.128182582640022 |
32 | 438.31 | 438.2523992487 | 0.0576007512999013 |
33 | 439.67 | 438.434998075882 | 1.23500192411842 |
34 | 442 | 439.850718817315 | 2.14928118268472 |
35 | 442.61 | 442.277689954534 | 0.332310045466443 |
36 | 442.27 | 442.902683098882 | -0.632683098882353 |
37 | 442.27 | 442.534137741443 | -0.264137741442937 |
38 | 443.72 | 442.522220390946 | 1.19777960905384 |
39 | 443.83 | 444.026261738241 | -0.196261738240707 |
40 | 444.01 | 444.127406813114 | -0.117406813113632 |
41 | 445.01 | 444.302109659686 | 0.707890340314464 |
42 | 444.9 | 445.334048212854 | -0.434048212853554 |
43 | 444.86 | 445.204464852078 | -0.344464852078261 |
44 | 445.36 | 445.148923307907 | 0.211076692093286 |
45 | 447.99 | 445.658446653217 | 2.33155334678253 |
46 | 449.08 | 448.393641534811 | 0.686358465189471 |
47 | 448.66 | 449.514608614151 | -0.854608614150777 |
48 | 447.65 | 449.056050434859 | -1.40605043485891 |
49 | 447.69 | 447.982612337158 | -0.292612337157607 |
50 | 448.17 | 448.009410271589 | 0.160589728410571 |
51 | 450.62 | 448.496655749154 | 2.12334425084578 |
52 | 450.38 | 451.042456665465 | -0.662456665464902 |
53 | 449.18 | 450.772567986066 | -1.59256798606572 |
54 | 448.73 | 449.500714600873 | -0.770714600873248 |
55 | 448.73 | 449.015941546552 | -0.285941546551896 |
56 | 449.55 | 449.003040453307 | 0.546959546692904 |
57 | 449.71 | 449.847718140751 | -0.137718140750962 |
58 | 449.93 | 450.001504582082 | -0.0715045820821842 |
59 | 452.23 | 450.218278442712 | 2.0117215572879 |
60 | 452.98 | 452.609043173148 | 0.370956826852193 |
61 | 452.88 | 453.37577998062 | -0.495779980620284 |
62 | 452.37 | 453.253411409715 | -0.883411409714711 |
63 | 452.76 | 452.70355370765 | 0.0564462923495057 |
64 | 452.96 | 453.096100448023 | -0.136100448023512 |
65 | 455.21 | 453.289959876316 | 1.92004012368352 |
66 | 453.6 | 455.626588129427 | -2.02658812942656 |
67 | 453.6 | 453.925152649897 | -0.325152649896552 |
68 | 453.86 | 453.910482432484 | -0.0504824324843298 |
69 | 454.21 | 454.168204769177 | 0.0417952308232543 |
70 | 454.62 | 454.52009048385 | 0.099909516150035 |
71 | 456.28 | 454.934598195302 | 1.34540180469833 |
72 | 456.17 | 456.655299951809 | -0.485299951808997 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 456.523404218204 | 454.660316265103 | 458.386492171305 |
74 | 456.876808436407 | 454.181910151667 | 459.571706721148 |
75 | 457.230212654611 | 453.855561286164 | 460.604864023059 |
76 | 457.583616872815 | 453.6008271812 | 461.56640656443 |
77 | 457.937021091019 | 453.387336036144 | 462.486706145894 |
78 | 458.290425309222 | 453.199898352457 | 463.380952265988 |
79 | 458.643829527426 | 453.029718978916 | 464.257940075937 |
80 | 458.99723374563 | 452.871216810883 | 465.123250680377 |
81 | 459.350637963834 | 452.720620231916 | 465.980655695751 |
82 | 459.704042182037 | 452.575260806562 | 466.832823557513 |
83 | 460.057446400241 | 452.433183712451 | 467.681709088031 |
84 | 460.410850618445 | 452.292917399265 | 468.528783837625 |