Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 52.3 | 49.6799527596335 | 2.62004724036645 |
14 | 54.8 | 54.7249694272626 | 0.0750305727374254 |
15 | 54.7 | 54.3224966481088 | 0.377503351891185 |
16 | 54.9 | 53.9580686538553 | 0.941931346144727 |
17 | 54.9 | 53.1200550882241 | 1.77994491177586 |
18 | 64.2 | 61.8728723183387 | 2.32712768166127 |
19 | 66.4 | 69.7635402376585 | -3.36354023765854 |
20 | 69.1 | 64.7349500247983 | 4.36504997520166 |
21 | 68.3 | 64.8348836626388 | 3.46511633736121 |
22 | 77.3 | 65.4602576624381 | 11.8397423375619 |
23 | 89.6 | 78.5529468593848 | 11.0470531406152 |
24 | 93 | 103.05785050721 | -10.0578505072102 |
25 | 96.1 | 92.0993786865811 | 4.00062131341885 |
26 | 131.3 | 99.5776128566256 | 31.7223871433744 |
27 | 125.3 | 128.573275431166 | -3.27327543116628 |
28 | 126 | 122.186386130292 | 3.81361386970782 |
29 | 138.3 | 120.568830612273 | 17.7311693877273 |
30 | 163 | 154.119154946128 | 8.88084505387184 |
31 | 182.5 | 175.236837422309 | 7.26316257769133 |
32 | 164.6 | 175.86955814642 | -11.2695581464201 |
33 | 148.8 | 152.94235392785 | -4.14235392785014 |
34 | 109.3 | 141.408085788388 | -32.1080857883883 |
35 | 93.5 | 110.647085464427 | -17.1470854644272 |
36 | 80.2 | 107.492865210349 | -27.2928652103492 |
37 | 84 | 79.5803255300888 | 4.41967446991121 |
38 | 75.5 | 87.1868141010253 | -11.6868141010253 |
39 | 62.4 | 74.4138838482303 | -12.0138838482303 |
40 | 64.2 | 61.3994007298973 | 2.80059927010275 |
41 | 64.7 | 61.9424687643655 | 2.75753123563449 |
42 | 71 | 72.7123635623716 | -1.71236356237156 |
43 | 73.7 | 77.0228359953065 | -3.32283599530653 |
44 | 72.6 | 71.7227419221958 | 0.877258077804242 |
45 | 68.1 | 68.0639532535104 | 0.0360467464895891 |
46 | 72.3 | 65.2715674062246 | 7.02843259377542 |
47 | 78.5 | 73.5382377023469 | 4.9617622976531 |
48 | 81.9 | 90.4351163521221 | -8.53511635212205 |
49 | 97.8 | 81.2430122774354 | 16.5569877225646 |
50 | 93.1 | 101.31846888014 | -8.2184688801397 |
51 | 94.2 | 91.4964159604108 | 2.70358403958922 |
52 | 101.1 | 92.1311357971875 | 8.96886420281247 |
53 | 101 | 96.9475294793781 | 4.05247052062194 |
54 | 99.7 | 112.862723986697 | -13.1627239866972 |
55 | 97.1 | 107.661334266556 | -10.5613342665561 |
56 | 91.7 | 94.1219652645381 | -2.42196526453812 |
57 | 95 | 85.6854473065527 | 9.31455269344731 |
58 | 98.9 | 90.6504068669458 | 8.24959313305419 |
59 | 109 | 100.216490417788 | 8.78350958221156 |
60 | 121.9 | 125.119205697184 | -3.21920569718398 |
61 | 131.5 | 120.365053391474 | 11.134946608526 |
62 | 128.5 | 135.828379463919 | -7.32837946391902 |
63 | 128.4 | 125.855599867865 | 2.54440013213519 |
64 | 126.4 | 125.182247095971 | 1.21775290402859 |
65 | 123.1 | 120.94828926501 | 2.15171073499003 |
66 | 123 | 137.306882812526 | -14.3068828125262 |
67 | 123.3 | 132.535097671438 | -9.23509767143817 |
68 | 123.6 | 119.201437553827 | 4.39856244617255 |
69 | 124.9 | 115.116110149068 | 9.78388985093169 |
70 | 120.4 | 118.85960017087 | 1.54039982912984 |
71 | 114.9 | 121.779739793051 | -6.87973979305131 |
72 | 113.4 | 131.828586914753 | -18.4285869147533 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 112.051619654741 | 91.3722683951888 | 132.730970914293 |
74 | 115.912597068838 | 86.3140696596721 | 145.511124478004 |
75 | 113.638286528062 | 78.2412547484588 | 149.035318307665 |
76 | 110.916427361417 | 70.9437103483872 | 150.889144374446 |
77 | 106.259850232519 | 63.0677131409036 | 149.451987324134 |
78 | 118.680489347954 | 66.623331666994 | 170.737647028913 |
79 | 127.923832178568 | 68.6277529069972 | 187.219911450139 |
80 | 123.627516599351 | 63.2177204777596 | 184.037312720943 |
81 | 115.141496724557 | 55.6951805796439 | 174.58781286947 |
82 | 109.65292775435 | 49.8772680527437 | 169.428587455956 |
83 | 111.001051472729 | 47.5832379374112 | 174.418865008048 |
84 | 127.394767928798 | 52.7488380697567 | 202.040697787838 |