Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.52534352356398 |
beta | 0 |
gamma | 0.582031924980555 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 5.3 | 2.43320707070707 | 2.86679292929293 |
14 | 4.7 | 3.00592483617679 | 1.69407516382321 |
15 | 6.1 | 5.1333962519219 | 0.966603748078098 |
16 | 6.6 | 6.19952860416073 | 0.400471395839267 |
17 | 7 | 6.98908032500418 | 0.0109196749958151 |
18 | 7.5 | 7.73648357220933 | -0.236483572209326 |
19 | 6.6 | 5.18724845911988 | 1.41275154088012 |
20 | 7.8 | 6.69609499819295 | 1.10390500180705 |
21 | 4.7 | 8.18852434152217 | -3.48852434152217 |
22 | 5.4 | 7.63918400524153 | -2.23918400524153 |
23 | 4.3 | 6.80867652335317 | -2.50867652335317 |
24 | 4.5 | 4.77409289242592 | -0.274092892425916 |
25 | 5.8 | 3.07209515353663 | 2.72790484646337 |
26 | 4.6 | 3.24786782956801 | 1.35213217043199 |
27 | 5.2 | 4.9947266556395 | 0.205273344360502 |
28 | 3.6 | 5.50449633063275 | -1.90449633063275 |
29 | 4.8 | 4.97552859144418 | -0.175528591444176 |
30 | 6.7 | 5.55663353621333 | 1.14336646378667 |
31 | 6.3 | 4.18792000880073 | 2.11207999119927 |
32 | 4.8 | 5.97883066220063 | -1.17883066220063 |
33 | 8.7 | 5.00331109323701 | 3.69668890676299 |
34 | 6.8 | 8.57382528858044 | -1.77382528858044 |
35 | 7.4 | 7.9133395840961 | -0.513339584096101 |
36 | 9 | 7.54433103594088 | 1.45566896405912 |
37 | 7.9 | 7.58040005949676 | 0.319599940503242 |
38 | 9.1 | 6.1109072057075 | 2.98909279429250 |
39 | 8.7 | 8.40089548488099 | 0.299104515119012 |
40 | 9.8 | 8.37710276866554 | 1.42289723133446 |
41 | 6.4 | 10.0738133450862 | -3.67381334508625 |
42 | 6.1 | 9.18148188707782 | -3.08148188707782 |
43 | 4.7 | 5.86089349886677 | -1.16089349886677 |
44 | 4.8 | 5.02320456196742 | -0.223204561967418 |
45 | 4.2 | 5.8966534751326 | -1.69665347513261 |
46 | 2.8 | 5.12249735740854 | -2.32249735740854 |
47 | 6.1 | 4.52199869884496 | 1.57800130115504 |
48 | 5.8 | 5.79563112534486 | 0.00436887465514246 |
49 | 4.9 | 4.75541268440685 | 0.144587315593146 |
50 | 4.6 | 3.93146611928604 | 0.668533880713963 |
51 | 4.1 | 4.2592135911977 | -0.159213591197697 |
52 | 3.6 | 4.30511127109319 | -0.70511127109319 |
53 | 5.9 | 3.47584248032091 | 2.42415751967909 |
54 | 4.5 | 5.95068110514855 | -1.45068110514855 |
55 | 4.8 | 4.01741512470159 | 0.782584875298406 |
56 | 5.7 | 4.4597708078179 | 1.24022919218210 |
57 | 5 | 5.69496247378058 | -0.69496247378058 |
58 | 7 | 5.2741393367264 | 1.7258606632736 |
59 | 4.6 | 7.8779914758853 | -3.27799147588531 |
60 | 2.6 | 6.16581963376298 | -3.56581963376298 |
61 | 5 | 3.28876326083519 | 1.71123673916481 |
62 | 4.1 | 3.43259403857089 | 0.667405961429107 |
63 | 3.2 | 3.53107112573691 | -0.331071125736907 |
64 | 0 | 3.33587201878725 | -3.33587201878725 |
65 | 2.3 | 1.98905824649006 | 0.310941753509940 |
66 | 3.8 | 2.28324949911276 | 1.51675050088724 |
67 | 4.5 | 2.52587821791776 | 1.97412178208224 |
68 | 5.9 | 3.7206313072146 | 2.17936869278540 |
69 | 5 | 4.91456767100788 | 0.0854323289921188 |
70 | 4.2 | 5.5725091324515 | -1.3725091324515 |
71 | 4.5 | 5.16626244031471 | -0.666262440314706 |
72 | 6 | 4.74662862220244 | 1.25337137779756 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 5.85917019000151 | 2.32222230242531 | 9.3961180775777 |
74 | 4.8156396872761 | 0.820319545073796 | 8.8109598294784 |
75 | 4.28765488018601 | -0.118609492039648 | 8.69391925241167 |
76 | 3.43625985714 | -1.34576360549618 | 8.21828331977618 |
77 | 4.84941266424374 | -0.280921737767561 | 9.97974706625504 |
78 | 5.31337570256353 | -0.143080450996068 | 10.7698318561231 |
79 | 4.88554514771385 | -0.878611029470816 | 10.6497013248985 |
80 | 5.09990872755792 | -0.956334259165267 | 11.1561517142811 |
81 | 4.57044606730768 | -1.76443055291876 | 10.9053226875341 |
82 | 4.78072768550555 | -1.82103302454365 | 11.3824883955548 |
83 | 5.29063117680796 | -1.56763588944186 | 12.1488982430578 |
84 | 5.75134208094253 | -1.3541775926116 | 12.8568617544967 |