Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.696623499130001 |
beta | 1 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 105.5 | 105.8 | -0.300000000000011 |
4 | 106.6 | 106.482025900522 | 0.117974099477991 |
5 | 107.2 | 107.537405910753 | -0.337405910753148 |
6 | 107.5 | 108.040512618647 | -0.540512618647227 |
7 | 108.3 | 108.025596629265 | 0.274403370734589 |
8 | 108.7 | 108.769526104198 | -0.0695261041979336 |
9 | 108.8 | 109.225432706862 | -0.42543270686177 |
10 | 109.8 | 109.137039985716 | 0.66296001428394 |
11 | 109.5 | 110.268680735336 | -0.768680735336247 |
12 | 109.2 | 109.867525832895 | -0.667525832895151 |
13 | 110.6 | 109.071823631076 | 1.52817636892435 |
14 | 110.1 | 110.870262749543 | -0.770262749542965 |
15 | 109.9 | 110.53097203493 | -0.630972034930153 |
16 | 109.7 | 109.849164558501 | -0.149164558501042 |
17 | 109.4 | 109.39908395552 | 0.000916044480220535 |
18 | 109.4 | 109.05419116545 | 0.345808834549956 |
19 | 109.4 | 109.190457357978 | 0.209542642022356 |
20 | 109.5 | 109.377769647156 | 0.122230352843872 |
21 | 109.5 | 109.589406680028 | -0.08940668002802 |
22 | 109.9 | 109.591329588228 | 0.308670411771516 |
23 | 110 | 110.085589415368 | -0.0855894153680197 |
24 | 110.8 | 110.245574984137 | 0.554425015862932 |
25 | 112.4 | 111.23763514004 | 1.16236485996045 |
26 | 112.8 | 113.462931153409 | -0.662931153409204 |
27 | 113.7 | 113.954869651227 | -0.254869651227025 |
28 | 114.5 | 114.553525192295 | -0.053525192295453 |
29 | 114.8 | 115.255155108127 | -0.45515510812676 |
30 | 115.6 | 115.359928442566 | 0.240071557433794 |
31 | 115.8 | 116.116252497838 | -0.316252497838036 |
32 | 115.8 | 116.264719221424 | -0.464719221423692 |
33 | 116.3 | 115.98602620638 | 0.31397379362042 |
34 | 116.3 | 116.468510566971 | -0.168510566970568 |
35 | 116.8 | 116.497496563208 | 0.302503436792264 |
36 | 116.7 | 117.065332985522 | -0.365332985522471 |
37 | 116.8 | 116.913439319756 | -0.113439319755599 |
38 | 117 | 116.857996204977 | 0.142003795023157 |
39 | 117.2 | 117.079423947223 | 0.120576052777309 |
40 | 117.1 | 117.369920732484 | -0.269920732483826 |
41 | 117.3 | 117.200355155647 | 0.0996448443532927 |
42 | 117.4 | 117.357652584248 | 0.0423474157524879 |
43 | 117.7 | 117.504535482586 | 0.195464517414123 |
44 | 117.9 | 117.894248528137 | 0.00575147186279423 |
45 | 118.8 | 118.15580961852 | 0.644190381479817 |
46 | 119.9 | 119.310880413754 | 0.589119586246341 |
47 | 122.4 | 120.837982146489 | 1.56201785351134 |
48 | 123.5 | 124.13096601728 | -0.630966017279945 |
49 | 125.6 | 125.456720035675 | 0.143279964324734 |
50 | 127.4 | 127.421644189066 | -0.0216441890664925 |
51 | 128.9 | 129.256600450908 | -0.356600450907933 |
52 | 129.5 | 130.609802055667 | -1.1098020556671 |
53 | 130.8 | 130.665191531608 | 0.134808468391924 |
54 | 132.7 | 131.681516692837 | 1.01848330716336 |
55 | 134 | 134.022929917585 | -0.0229299175849178 |
56 | 132.9 | 135.622896698246 | -2.72289669824602 |
57 | 133.1 | 133.445169346927 | -0.345169346926582 |
58 | 131.7 | 132.683369664812 | -0.983369664811988 |
59 | 128.8 | 130.791946227267 | -1.99194622726651 |
60 | 125.1 | 126.810288104726 | -1.71028810472632 |
61 | 123.9 | 121.833412765034 | 2.06658723496645 |
62 | 121.8 | 120.927230771135 | 0.872769228864883 |
63 | 119.2 | 119.797398654647 | -0.597398654646639 |
64 | 118.9 | 117.227251101662 | 1.67274889833769 |
65 | 119.6 | 117.403817871305 | 2.19618212869477 |
66 | 120.2 | 119.474932608659 | 0.725067391341497 |
67 | 119.6 | 121.026333233316 | -1.42633323331643 |
68 | 121 | 120.085400378876 | 0.914599621123628 |
69 | 120.4 | 121.412347949095 | -1.01234794909483 |
70 | 120.4 | 120.691713189672 | -0.291713189672151 |
71 | 121.4 | 120.269875275021 | 1.1301247249786 |
72 | 121.7 | 121.625794504038 | 0.0742054959616922 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 122.29782887719 | 120.639835353955 | 123.955822400425 |
74 | 122.918169958091 | 120.074753507716 | 125.761586408466 |
75 | 123.538511038991 | 119.056191892455 | 128.020830185528 |
76 | 124.158852119892 | 117.721812172827 | 130.595892066956 |
77 | 124.779193200792 | 116.131306207431 | 133.427080194153 |
78 | 125.399534281693 | 114.317538940848 | 136.481529622538 |
79 | 126.019875362593 | 112.302093675039 | 139.737657050148 |
80 | 126.640216443494 | 110.100726493009 | 143.179706393979 |
81 | 127.260557524394 | 107.725710757335 | 146.795404291453 |
82 | 127.880898605295 | 105.187020512473 | 150.574776698116 |
83 | 128.501239686195 | 102.493003314733 | 154.509476057657 |
84 | 129.121580767096 | 99.650797874676 | 158.592363659515 |