Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0293236060805783 |
beta | 1 |
gamma | 0.305240513880531 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 107.7 | 109.000462287793 | -1.30046228779317 |
14 | 127.3 | 128.040935508667 | -0.74093550866688 |
15 | 117.2 | 117.545829304800 | -0.345829304800148 |
16 | 119.8 | 119.924079425371 | -0.124079425370951 |
17 | 116.2 | 115.851102524165 | 0.348897475835187 |
18 | 111 | 110.407302739617 | 0.592697260382536 |
19 | 112.4 | 106.085403826194 | 6.31459617380602 |
20 | 130.6 | 121.049305423344 | 9.55069457665634 |
21 | 109.1 | 113.445066947439 | -4.34506694743868 |
22 | 118.8 | 113.142499562598 | 5.65750043740182 |
23 | 123.9 | 124.196068395081 | -0.296068395080965 |
24 | 101.6 | 101.682542715042 | -0.0825427150418108 |
25 | 112.8 | 112.075376208134 | 0.724623791866364 |
26 | 128 | 132.53585326085 | -4.53585326085005 |
27 | 129.6 | 122.096265728768 | 7.50373427123212 |
28 | 125.8 | 125.538927739499 | 0.261072260500995 |
29 | 119.5 | 122.087070511082 | -2.58707051108176 |
30 | 115.7 | 116.890654805018 | -1.19065480501759 |
31 | 113.6 | 114.535241138508 | -0.935241138508147 |
32 | 129.7 | 131.449881827212 | -1.74988182721250 |
33 | 112 | 118.633291926168 | -6.63329192616793 |
34 | 116.8 | 121.258301258138 | -4.45830125813841 |
35 | 127 | 130.274150488050 | -3.27415048804951 |
36 | 112.1 | 106.190005289299 | 5.90999471070063 |
37 | 114.2 | 117.193078542629 | -2.99307854262878 |
38 | 121.1 | 136.319538941663 | -15.2195389416634 |
39 | 131.6 | 128.148154075951 | 3.45184592404902 |
40 | 125 | 128.495473334345 | -3.49547333434472 |
41 | 120.4 | 123.065198909847 | -2.66519890984704 |
42 | 117.7 | 117.327457479859 | 0.372542520140584 |
43 | 117.5 | 114.262520923978 | 3.23747907602250 |
44 | 120.6 | 130.289944674282 | -9.68994467428217 |
45 | 127.5 | 114.98394300478 | 12.51605699522 |
46 | 112.3 | 118.42720039909 | -6.12720039909006 |
47 | 124.5 | 127.185239111114 | -2.68523911111416 |
48 | 115.2 | 105.832093407342 | 9.36790659265831 |
49 | 104.7 | 113.879099312683 | -9.17909931268328 |
50 | 130.9 | 128.327786557001 | 2.57221344299941 |
51 | 129.2 | 126.246913408497 | 2.95308659150284 |
52 | 113.5 | 124.536763862736 | -11.0367638627363 |
53 | 125.6 | 119.016299567763 | 6.5837004322372 |
54 | 107.6 | 114.593978691425 | -6.99397869142524 |
55 | 107 | 112.033842372140 | -5.03384237214023 |
56 | 121.6 | 123.150062922684 | -1.55006292268445 |
57 | 110.7 | 114.684985896835 | -3.98498589683486 |
58 | 106.3 | 111.507173290213 | -5.20717329021346 |
59 | 118.6 | 120.130039457263 | -1.5300394572631 |
60 | 104.6 | 102.627675731307 | 1.97232426869348 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 103.979136153675 | 100.487834879532 | 107.470437427819 |
62 | 120.342186971249 | 116.774592556106 | 123.909781386392 |
63 | 117.674048896664 | 113.965704533188 | 121.382393260140 |
64 | 111.362319327877 | 107.457820384689 | 115.266818271066 |
65 | 110.861494135351 | 106.639913774821 | 115.083074495881 |
66 | 102.300489185400 | 97.8030932889347 | 106.797885081866 |
67 | 100.217040956392 | 95.291027793013 | 105.143054119772 |
68 | 111.005284488298 | 105.156228910919 | 116.854340065677 |
69 | 102.419021713785 | 96.1855485756125 | 108.652494851957 |
70 | 99.1216579607233 | 92.2968068678402 | 105.946509053606 |
71 | 107.951438520377 | 99.7743151695281 | 116.128561871225 |
72 | 93.1042989867176 | 85.0506999635212 | 101.157898009914 |