Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.915448264006933 |
beta | 0.0348360292320682 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 29 | 29 | 0 |
4 | 27 | 28 | -1 |
5 | 25 | 26.0526611535077 | -1.05266115350767 |
6 | 24 | 24.0235437681110 | -0.0235437681110433 |
7 | 25 | 22.9357792821562 | 2.06422071784385 |
8 | 27 | 23.8250843715944 | 3.17491562840556 |
9 | 28 | 25.8324230974796 | 2.16757690252039 |
10 | 28 | 26.9867206254895 | 1.01327937451050 |
11 | 29 | 27.1166325548088 | 1.88336744519118 |
12 | 31 | 28.1031267828271 | 2.89687321717292 |
13 | 31 | 30.109816084649 | 0.890183915350995 |
14 | 27 | 30.3078736322964 | -3.30787363229643 |
15 | 25 | 26.5573366688268 | -1.55733666882682 |
16 | 16 | 24.3596613561507 | -8.35966135615068 |
17 | 20 | 15.6682152472242 | 4.33178475277585 |
18 | 21 | 18.7332745854193 | 2.26672541458069 |
19 | 25 | 19.9801661311978 | 5.01983386880217 |
20 | 24 | 23.9074714580722 | 0.0925285419277877 |
21 | 28 | 23.3270344663259 | 4.67296553367407 |
22 | 27 | 27.0887741598699 | -0.088774159869942 |
23 | 23 | 26.4885564576383 | -3.48855645763829 |
24 | 36 | 22.6647618554458 | 13.3352381445542 |
25 | 37 | 34.6675493278509 | 2.33245067214909 |
26 | 30 | 36.6722373199588 | -6.67223731995882 |
27 | 27 | 30.2208177871532 | -3.22081778715321 |
28 | 22 | 26.8262805187025 | -4.82628051870249 |
29 | 22 | 21.8081122827478 | 0.191887717252165 |
30 | 25 | 21.3899368579676 | 3.61006314203244 |
31 | 33 | 24.216051208282 | 8.783948791718 |
32 | 35 | 32.0587154382612 | 2.94128456173879 |
33 | 35 | 34.6465221196597 | 0.353477880340307 |
34 | 29 | 34.8765982824861 | -5.87659828248615 |
35 | 25 | 29.215953895161 | -4.21595389516102 |
36 | 34 | 24.9410943038973 | 9.05890569610271 |
37 | 31 | 33.1075756597207 | -2.10757565972067 |
38 | 29 | 30.9845092278692 | -1.98450922786923 |
39 | 21 | 28.9108165921893 | -7.91081659218934 |
40 | 19 | 21.1596156188111 | -2.15961561881108 |
41 | 18 | 18.6044701924385 | -0.604470192438495 |
42 | 25 | 17.4537030403851 | 7.5462969596149 |
43 | 23 | 24.0051973336536 | -1.00519733365357 |
44 | 22 | 22.6961846930013 | -0.696184693001253 |
45 | 20 | 21.6478554024131 | -1.64785540241308 |
46 | 15 | 19.6757697443529 | -4.67576974435294 |
47 | 17 | 14.7826721376873 | 2.21732786231272 |
48 | 25 | 16.2705606457643 | 8.72943935423572 |
49 | 26 | 23.9983372199193 | 2.00166278008074 |
50 | 26 | 25.6310166006337 | 0.368983399366336 |
51 | 23 | 25.7808295721264 | -2.78082957212639 |
52 | 24 | 22.9584694520719 | 1.04153054792814 |
53 | 24 | 23.6684972841803 | 0.331502715819653 |
54 | 42 | 23.7391031846915 | 18.2608968153085 |
55 | 40 | 40.8054924244217 | -0.805492424421665 |
56 | 45 | 40.391901111158 | 4.60809888884199 |
57 | 47 | 45.0811275253800 | 1.91887247461996 |
58 | 40 | 47.3697002481117 | -7.36970024811174 |
59 | 39 | 40.9200411630615 | -1.92004116306153 |
60 | 49 | 39.3980317957642 | 9.6019682042358 |
61 | 55 | 48.7300382606701 | 6.2699617393299 |
62 | 54 | 55.2117179236464 | -1.21171792364638 |
63 | 48 | 54.805664536902 | -6.80566453690197 |
64 | 44 | 49.0616058278233 | -5.0616058278233 |
65 | 48 | 44.7527250781361 | 3.24727492186387 |
66 | 62 | 48.1537522753391 | 13.8462477246609 |
67 | 57 | 61.6991556302958 | -4.69915563029581 |
68 | 60 | 58.1173428684094 | 1.88265713159058 |
69 | 56 | 60.6208782059573 | -4.6208782059573 |
70 | 57 | 57.0234009112572 | -0.0234009112572053 |
71 | 54 | 57.6339299561109 | -3.63392995611092 |
72 | 62 | 54.8233183116952 | 7.1766816883048 |
73 | 65 | 62.1381308893653 | 2.86186911063474 |
74 | 68 | 65.594222456227 | 2.40577754377293 |
75 | 69 | 68.7095074371782 | 0.290492562821754 |
76 | 67 | 69.8976224314738 | -2.89762243147378 |
77 | 72 | 68.0747762216246 | 3.92522377837544 |
78 | 82 | 72.623070402846 | 9.376929597154 |
79 | 72 | 82.4611549585225 | -10.4611549585225 |
80 | 77 | 73.804887121385 | 3.19511287861501 |
81 | 79 | 77.7521199793743 | 1.24788002062567 |
82 | 78 | 79.9565575186297 | -1.95655751862971 |
83 | 76 | 79.1651025165198 | -3.16510251651981 |
84 | 79 | 77.1663501312394 | 1.83364986876062 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 79.8021731016535 | 69.8142732611922 | 89.7900729421147 |
86 | 80.7593844829141 | 67.00125315447 | 94.5175158113582 |
87 | 81.7165958641747 | 64.8363325073105 | 98.596859221039 |
88 | 82.6738072454354 | 63.0032100717013 | 102.344404419169 |
89 | 83.631018626696 | 61.3721688342546 | 105.889868419137 |
90 | 84.5882300079567 | 59.875516606963 | 109.300943408950 |
91 | 85.5454413892173 | 58.4729326072083 | 112.617950171226 |
92 | 86.502652770478 | 57.1382714841564 | 115.867034056799 |
93 | 87.4598641517386 | 55.8535422638901 | 119.066186039587 |
94 | 88.4170755329992 | 54.605809266997 | 122.228341799001 |
95 | 89.3742869142599 | 53.3854521465961 | 125.363121681924 |
96 | 90.3314982955205 | 52.1851223541746 | 128.477874236866 |