Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.874592242584807 |
beta | 0.0335201586784274 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 25.35 | 24.8214845254352 | 0.528515474564795 |
14 | 25.36 | 25.3202154871096 | 0.0397845128904137 |
15 | 25.35 | 25.3828895904979 | -0.0328895904978879 |
16 | 25.34 | 25.3800982759491 | -0.0400982759491306 |
17 | 25.39 | 25.4331617440996 | -0.0431617440996419 |
18 | 25.58 | 25.6292095794622 | -0.0492095794621612 |
19 | 25.71 | 25.7187633832763 | -0.00876338327631032 |
20 | 25.66 | 25.9341999146569 | -0.274199914656915 |
21 | 25.74 | 25.7011806728354 | 0.0388193271645711 |
22 | 25.73 | 25.7478570394352 | -0.0178570394352207 |
23 | 25.72 | 25.7658478322993 | -0.0458478322993408 |
24 | 25.55 | 25.6499903247036 | -0.0999903247036293 |
25 | 25.71 | 25.862470486768 | -0.152470486767964 |
26 | 25.92 | 25.6825924472671 | 0.237407552732872 |
27 | 25.93 | 25.8933177979058 | 0.0366822020941839 |
28 | 26 | 25.9369073595759 | 0.0630926404240704 |
29 | 26.02 | 26.0707526889101 | -0.0507526889100554 |
30 | 26.08 | 26.2536990701944 | -0.173699070194395 |
31 | 26.17 | 26.227466589048 | -0.0574665890479835 |
32 | 26.18 | 26.354051274782 | -0.174051274782038 |
33 | 26.21 | 26.2356140795416 | -0.0256140795416009 |
34 | 26.28 | 26.2040418710712 | 0.0759581289287716 |
35 | 26.34 | 26.2888878520142 | 0.0511121479858119 |
36 | 26.17 | 26.2394362877906 | -0.0694362877906443 |
37 | 26.38 | 26.4704183814213 | -0.0904183814212907 |
38 | 26.36 | 26.3865816382685 | -0.0265816382685458 |
39 | 26.27 | 26.3267464372922 | -0.0567464372922188 |
40 | 26.26 | 26.2755557892662 | -0.0155557892662479 |
41 | 26.49 | 26.3083467906512 | 0.181653209348802 |
42 | 26.99 | 26.6702471143305 | 0.319752885669494 |
43 | 27.14 | 27.0958348082081 | 0.0441651917918975 |
44 | 27.1 | 27.3063498390033 | -0.206349839003344 |
45 | 27.01 | 27.1832695384262 | -0.173269538426162 |
46 | 26.93 | 27.0344866366711 | -0.104486636671112 |
47 | 26.97 | 26.9529299384186 | 0.0170700615814248 |
48 | 26.35 | 26.8492187360235 | -0.499218736023487 |
49 | 26.93 | 26.6858158134109 | 0.244184186589099 |
50 | 26.92 | 26.8933763158026 | 0.0266236841974283 |
51 | 27.05 | 26.8676322401307 | 0.182367759869326 |
52 | 27.01 | 27.0296339225862 | -0.019633922586241 |
53 | 26.9 | 27.0841864026099 | -0.184186402609889 |
54 | 26.93 | 27.1351651078699 | -0.205165107869924 |
55 | 26.95 | 27.0412061851579 | -0.0912061851578692 |
56 | 26.89 | 27.0714306312138 | -0.181430631213793 |
57 | 26.7 | 26.9450793027355 | -0.245079302735522 |
58 | 26.55 | 26.7114255247806 | -0.161425524780604 |
59 | 26.48 | 26.5629732784842 | -0.0829732784841859 |
60 | 25.71 | 26.27491968591 | -0.564919685910013 |
61 | 26.17 | 26.1023040610867 | 0.0676959389133316 |
62 | 26.31 | 26.0878292205854 | 0.222170779414569 |
63 | 26.58 | 26.2174661105226 | 0.362533889477358 |
64 | 26.49 | 26.4816181358887 | 0.00838186411131048 |
65 | 26.57 | 26.5092266693281 | 0.0607733306718821 |
66 | 26.6 | 26.7459046932843 | -0.145904693284344 |
67 | 26.69 | 26.6953336733872 | -0.00533367338718094 |
68 | 26.59 | 26.7690792776431 | -0.17907927764308 |
69 | 26.75 | 26.6171752286403 | 0.132824771359694 |
70 | 26.79 | 26.7158999167561 | 0.0741000832438594 |
71 | 26.8 | 26.7814607609865 | 0.0185392390134744 |
72 | 26.62 | 26.5181551978267 | 0.101844802173275 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 27.0428834944487 | 26.6919968982432 | 27.3937700906543 |
74 | 27.0053607469854 | 26.5329061414905 | 27.4778153524803 |
75 | 26.9686549062462 | 26.3947382681114 | 27.5425715443809 |
76 | 26.8714649457008 | 26.2078893427048 | 27.5350405486967 |
77 | 26.9000053335861 | 26.1509338263973 | 27.6490768407748 |
78 | 27.0590522089987 | 26.225612675344 | 27.8924917426534 |
79 | 27.1591327564277 | 26.245811253787 | 28.0724542590684 |
80 | 27.2205522844701 | 26.2306499321615 | 28.2104546367787 |
81 | 27.2745057203873 | 26.2098590147131 | 28.3391524260615 |
82 | 27.254447474262 | 26.1190197307391 | 28.3898752177849 |
83 | 27.2512238463186 | 26.0453849016907 | 28.4570627909465 |
84 | 26.9801095989484 | 15.4658145012151 | 38.4944046966817 |