Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0710539545448988 |
beta | 1 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 95.7 | 94.9307408679596 | 0.769259132040403 |
14 | 113.2 | 112.025059303842 | 1.17494069615817 |
15 | 105.9 | 104.943690583731 | 0.95630941626851 |
16 | 108.8 | 107.979165423207 | 0.820834576792578 |
17 | 102.3 | 101.608929935168 | 0.691070064832232 |
18 | 99 | 98.7381909309036 | 0.261809069096373 |
19 | 100.7 | 98.7907127330063 | 1.90928726699369 |
20 | 115.5 | 108.874381400642 | 6.62561859935799 |
21 | 100.7 | 108.827552568900 | -8.12755256890016 |
22 | 109.9 | 103.904266171705 | 5.9957338282954 |
23 | 114.6 | 122.072013488954 | -7.47201348895449 |
24 | 85.4 | 86.63302976268 | -1.23302976267991 |
25 | 100.5 | 103.234098631968 | -2.73409863196801 |
26 | 114.8 | 121.704799347454 | -6.9047993474544 |
27 | 116.5 | 112.704800658295 | 3.7951993417046 |
28 | 112.9 | 115.575414354338 | -2.6754143543384 |
29 | 102 | 107.804475187270 | -5.80447518727048 |
30 | 106 | 102.856201277533 | 3.14379872246657 |
31 | 105.3 | 103.854371509038 | 1.44562849096170 |
32 | 118.8 | 117.717745018480 | 1.08225498151964 |
33 | 106.1 | 102.013924982102 | 4.08607501789824 |
34 | 109.3 | 110.769289825928 | -1.46928982592766 |
35 | 117.2 | 114.889686085588 | 2.31031391441218 |
36 | 92.5 | 85.571448738844 | 6.92855126115603 |
37 | 104.2 | 101.852371825963 | 2.34762817403677 |
38 | 112.5 | 117.848943691905 | -5.3489436919053 |
39 | 122.4 | 119.871484376355 | 2.52851562364518 |
40 | 113.3 | 117.349409047939 | -4.04940904793922 |
41 | 100 | 106.820060208653 | -6.82006020865268 |
42 | 110.7 | 110.868186541988 | -0.168186541988007 |
43 | 112.8 | 110.365035156504 | 2.43496484349618 |
44 | 109.8 | 125.096029511562 | -15.2960295115624 |
45 | 117.3 | 109.813446603974 | 7.48655339602567 |
46 | 109.1 | 113.362930794477 | -4.26293079447697 |
47 | 115.9 | 120.403668412532 | -4.50366841253233 |
48 | 96 | 93.3376189175815 | 2.66238108241853 |
49 | 99.8 | 103.802893517563 | -4.00289351756275 |
50 | 116.8 | 110.173887100328 | 6.6261128996722 |
51 | 115.7 | 119.001102352076 | -3.30110235207604 |
52 | 99.4 | 108.732376562866 | -9.3323765628663 |
53 | 94.3 | 94.1805915535665 | 0.119408446433539 |
54 | 91 | 102.959047167137 | -11.9590471671372 |
55 | 93.2 | 101.691910201205 | -8.49191020120477 |
56 | 103.1 | 96.3722431741136 | 6.72775682588636 |
57 | 94.1 | 101.298479898548 | -7.19847989854793 |
58 | 91.8 | 91.486938169151 | 0.313061830848923 |
59 | 102.7 | 95.074310706052 | 7.62568929394794 |
60 | 82.6 | 77.7006342195378 | 4.89936578046223 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 80.150439456161 | 69.537756073401 | 90.763122838921 |
62 | 92.2353310628805 | 81.4758782581014 | 102.994783867660 |
63 | 89.9801253631593 | 78.939930538606 | 101.020320187713 |
64 | 76.566323343031 | 65.2710987356703 | 87.8615479503915 |
65 | 71.9155140219512 | 60.1641694913526 | 83.6668585525498 |
66 | 69.2569079712413 | 56.849928060996 | 81.6638878814866 |
67 | 71.2023490591717 | 57.6458810273444 | 84.758817090999 |
68 | 78.6917249273386 | 62.9888196959605 | 94.3946301587168 |
69 | 72.1159488329979 | 55.4338739221895 | 88.7980237438063 |
70 | 70.6390240027075 | 52.229458915883 | 89.048589089532 |
71 | 78.9152347002952 | 56.4714948771408 | 101.358974523450 |
72 | 63.093825753476 | 43.8900541255342 | 82.2975973814179 |