Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.915141113646461 |
beta | 0.439774545987717 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 75.79 | 75.33 | 0.459999999999994 |
4 | 74.88 | 73.8160945654509 | 1.06390543454907 |
5 | 74.5 | 73.2830227013068 | 1.21697729869317 |
6 | 74.59 | 73.379812726486 | 1.21018727351402 |
7 | 74.59 | 73.9574357687668 | 0.632564231233161 |
8 | 73.57 | 74.2610313402108 | -0.691031340210813 |
9 | 73.3 | 73.0752406378093 | 0.224759362190667 |
10 | 73.23 | 72.8179833603442 | 0.412016639655761 |
11 | 73 | 72.897911389363 | 0.102088610636955 |
12 | 72.31 | 72.7352976869297 | -0.425297686929653 |
13 | 72.31 | 71.9188875936958 | 0.391112406304202 |
14 | 71.24 | 72.0070133861392 | -0.767013386139169 |
15 | 70.82 | 70.7266016899358 | 0.0933983100642024 |
16 | 70.66 | 70.2711768001756 | 0.388823199824401 |
17 | 69.94 | 70.242591512441 | -0.302591512440998 |
18 | 69.87 | 69.4594844954726 | 0.41051550452741 |
19 | 69.87 | 69.4941853607172 | 0.375814639282765 |
20 | 68.88 | 69.6483788066886 | -0.768378806688631 |
21 | 68.09 | 68.4462353057038 | -0.356235305703791 |
22 | 68.38 | 67.4778923137291 | 0.902107686270909 |
23 | 66.78 | 68.0241691702674 | -1.24416917026741 |
24 | 67.2 | 66.1055767754657 | 1.09442322453432 |
25 | 67.2 | 66.7675833683017 | 0.432416631698331 |
26 | 66.67 | 66.9977890780345 | -0.327789078034471 |
27 | 65.86 | 66.4003786828955 | -0.540378682895494 |
28 | 66.05 | 65.3909402823039 | 0.659059717696138 |
29 | 66.31 | 65.7443996600707 | 0.56560033992929 |
30 | 66.39 | 66.2399596378437 | 0.15004036215629 |
31 | 66.39 | 66.4156082039185 | -0.0256082039185088 |
32 | 65.72 | 66.420207376256 | -0.700207376256017 |
33 | 65.52 | 65.5256506135473 | -0.00565061354727447 |
34 | 64.93 | 65.264437178141 | -0.334437178140945 |
35 | 65.27 | 64.5677414685613 | 0.702258531438673 |
36 | 65.04 | 65.1023966216011 | -0.062396621601053 |
37 | 65.02 | 64.9121725260799 | 0.107827473920082 |
38 | 64.72 | 64.9211232877065 | -0.201123287706494 |
39 | 64.68 | 64.5663972781062 | 0.113602721893855 |
40 | 64.41 | 64.5454100500854 | -0.135410050085369 |
41 | 64.79 | 64.2420444409326 | 0.547955559067375 |
42 | 64.71 | 64.7845826715951 | -0.0745826715951523 |
43 | 64.71 | 64.7273943462026 | -0.0173943462026074 |
44 | 64.83 | 64.7155409536416 | 0.114459046358434 |
45 | 64.77 | 64.8704167249671 | -0.100416724967147 |
46 | 64.19 | 64.7882375534827 | -0.598237553482733 |
47 | 64.27 | 64.0097179206993 | 0.260282079300723 |
48 | 64.23 | 64.12161692481 | 0.108383075190019 |
49 | 64.23 | 64.1381262988758 | 0.0918737011242428 |
50 | 63.03 | 64.1765023668971 | -1.14650236689708 |
51 | 62.85 | 62.6201730905982 | 0.229826909401808 |
52 | 62.15 | 62.4158744862329 | -0.265874486232882 |
53 | 61.69 | 61.6509364341434 | 0.0390635658565941 |
54 | 62.1 | 61.1807810880249 | 0.919218911975136 |
55 | 62.1 | 61.8860370385015 | 0.213962961498517 |
56 | 61.81 | 62.031994900997 | -0.221994900997046 |
57 | 61.28 | 61.689646671384 | -0.409646671384017 |
58 | 61.05 | 61.0107059259956 | 0.0392940740043599 |
59 | 61.08 | 60.7584234410254 | 0.32157655897457 |
60 | 60.98 | 60.8938896046522 | 0.0861103953477595 |
61 | 60.98 | 60.8485266263441 | 0.131473373655915 |
62 | 61.11 | 60.897589392059 | 0.212410607941017 |
63 | 60.58 | 61.1062070227941 | -0.526207022794111 |
64 | 60.37 | 60.4271102410156 | -0.0571102410155646 |
65 | 59.44 | 60.1543188646264 | -0.714318864626442 |
66 | 59.29 | 58.9926071094332 | 0.297392890566805 |
67 | 59.29 | 58.8764418606787 | 0.41355813932131 |
68 | 59.33 | 59.0330230655139 | 0.296976934486096 |
69 | 59.06 | 59.2024360969041 | -0.14243609690412 |
70 | 58.75 | 58.9123999686596 | -0.162399968659628 |
71 | 58.92 | 58.5387352765116 | 0.3812647234884 |
72 | 58.73 | 58.8160426832008 | -0.0860426832007803 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 58.6310694951887 | 57.624985728875 | 59.6371532615024 |
74 | 58.5248375041022 | 56.8606698660057 | 60.1890051421987 |
75 | 58.4186055130156 | 56.0177425057735 | 60.8194685202578 |
76 | 58.3123735219291 | 55.0992493185364 | 61.5254977253218 |
77 | 58.2061415308426 | 54.1101165462557 | 62.3021665154294 |
78 | 58.099909539756 | 53.0549319769357 | 63.1448871025763 |
79 | 57.9936775486695 | 51.9376726116299 | 64.049682485709 |
80 | 57.8874455575829 | 50.7617521117039 | 65.013139003462 |
81 | 57.7812135664964 | 49.5301150143661 | 66.0323121186267 |
82 | 57.6749815754098 | 48.2453235041732 | 67.1046396466465 |
83 | 57.5687495843233 | 46.9096279506671 | 68.2278712179795 |
84 | 57.4625175932367 | 45.5250224562784 | 69.4000127301951 |