Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.458869668373879 |
beta | 0.0711214003331139 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 47 | 23 | 24 |
4 | 35 | 27.7961229222165 | 7.20387707778349 |
5 | 30 | 25.1201162837129 | 4.87988371628709 |
6 | 43 | 21.5369567996642 | 21.4630432003358 |
7 | 82 | 26.2637623545199 | 55.7362376454801 |
8 | 40 | 48.5364746640747 | -8.53647466407467 |
9 | 47 | 41.0377970696815 | 5.96220293031854 |
10 | 19 | 40.3867020506924 | -21.3867020506924 |
11 | 52 | 26.4880593548409 | 25.5119406451591 |
12 | 136 | 34.9423750297094 | 101.057624970291 |
13 | 80 | 81.3603752268598 | -1.36037522685979 |
14 | 42 | 80.7374651757254 | -38.7374651757254 |
15 | 54 | 61.6991275159735 | -7.69912751597347 |
16 | 66 | 56.6520770478746 | 9.34792295212543 |
17 | 81 | 59.732474678577 | 21.267525321423 |
18 | 63 | 68.9764916268721 | -5.97649162687212 |
19 | 137 | 65.5240100390352 | 71.4759899609648 |
20 | 72 | 99.944774330671 | -27.944774330671 |
21 | 107 | 87.8323751022993 | 19.1676248977007 |
22 | 58 | 97.9639710130011 | -39.9639710130011 |
23 | 36 | 79.657628804661 | -43.657628804661 |
24 | 52 | 58.231592560615 | -6.231592560615 |
25 | 79 | 53.775858307896 | 25.224141692104 |
26 | 77 | 64.5774077005519 | 12.4225922994481 |
27 | 54 | 69.9101313006393 | -15.9101313006393 |
28 | 84 | 61.7225930698122 | 22.2774069301878 |
29 | 48 | 71.7851911183916 | -23.7851911183916 |
30 | 96 | 59.9348195799791 | 36.0651804200209 |
31 | 83 | 76.7249716958758 | 6.27502830412423 |
32 | 66 | 80.0501149832532 | -14.0501149832532 |
33 | 61 | 73.5901346381083 | -12.5901346381083 |
34 | 53 | 67.3892102376778 | -14.3892102376778 |
35 | 30 | 59.8931462135325 | -29.8931462135325 |
36 | 74 | 44.30721984987 | 29.69278015013 |
37 | 69 | 57.0325050989165 | 11.9674949010835 |
38 | 59 | 62.0147592058819 | -3.01475920588188 |
39 | 42 | 60.0237233057599 | -18.0237233057599 |
40 | 65 | 50.5573166447196 | 14.4426833552804 |
41 | 70 | 56.4601027609199 | 13.5398972390801 |
42 | 100 | 62.3905083965525 | 37.6094916034475 |
43 | 63 | 80.5931236261194 | -17.5931236261194 |
44 | 105 | 72.8907735459248 | 32.1092264540752 |
45 | 82 | 89.0432235276064 | -7.04322352760644 |
46 | 81 | 86.9999429770526 | -5.99994297705263 |
47 | 75 | 85.2395813674112 | -10.2395813674112 |
48 | 102 | 81.1996049151613 | 20.8003950848387 |
49 | 121 | 92.0817624880721 | 28.9182375119279 |
50 | 98 | 107.632711515714 | -9.63271151571374 |
51 | 76 | 105.1794314399 | -29.1794314398995 |
52 | 77 | 92.8044705001153 | -15.8044705001153 |
53 | 63 | 86.0510873910001 | -23.0510873910001 |
54 | 37 | 75.2201689043062 | -38.2201689043062 |
55 | 35 | 56.1812864734165 | -21.1812864734165 |
56 | 23 | 44.2697694857101 | -21.2697694857101 |
57 | 40 | 31.6235017569322 | 8.37649824306778 |
58 | 29 | 32.8543778873243 | -3.85437788732425 |
59 | 37 | 28.3470865739708 | 8.65291342602919 |
60 | 51 | 29.8614036305922 | 21.1385963694078 |
61 | 20 | 37.7948895553043 | -17.7948895553043 |
62 | 28 | 27.2822354165287 | 0.717764583471265 |
63 | 13 | 25.2879013157388 | -12.2879013157388 |
64 | 22 | 16.9246403862059 | 5.07535961379408 |
65 | 25 | 16.6944899033857 | 8.3055100966143 |
66 | 13 | 18.2176115890128 | -5.21761158901281 |
67 | 16 | 13.3651037915816 | 2.63489620841841 |
68 | 13 | 12.2018646754455 | 0.79813532455454 |
69 | 16 | 10.2218392098281 | 5.77816079017186 |
70 | 17 | 10.7155692752316 | 6.28443072476838 |
71 | 9 | 11.6467065036014 | -2.6467065036014 |
72 | 17 | 8.3932392870651 | 8.6067607129349 |
73 | 25 | 10.5845323782812 | 14.4154676217188 |
74 | 14 | 15.9117202040056 | -1.91172020400564 |
75 | 8 | 13.6844669110586 | -5.68446691105861 |
76 | 7 | 9.54049943289231 | -2.54049943289231 |
77 | 10 | 6.7562929179933 | 3.2437070820067 |
78 | 7 | 6.73214317966192 | 0.267856820338082 |
79 | 10 | 5.35120764740237 | 4.64879235259763 |
80 | 3 | 6.13226599611851 | -3.13226599611851 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 3.24060975985528 | -43.5153135754196 | 49.9965330951302 |
82 | 1.78625538248973 | -50.3120403951058 | 53.8845511600853 |
83 | 0.331901005124177 | -57.2424823469809 | 57.9062843572292 |
84 | -1.12245337224137 | -64.3087232376746 | 62.0638164931919 |
85 | -2.57680774960693 | -71.5113739161083 | 66.3577584168945 |
86 | -4.03116212697248 | -78.8501136284581 | 70.7877893745131 |
87 | -5.48551650433803 | -86.3240266303809 | 75.3529936217048 |
88 | -6.93987088170358 | -93.9318176678924 | 80.0520759044852 |
89 | -8.39422525906913 | -101.671953087191 | 84.8835025690531 |
90 | -9.84857963643468 | -109.542754867559 | 89.8455955946895 |
91 | -11.3029340138002 | -117.542464088998 | 94.9365960613978 |
92 | -12.7572883911658 | -125.669284130188 | 100.154707347857 |