Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0538182498493872 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 164.58 | 164.63 | -0.0499999999999829 |
4 | 165.97 | 164.927309087508 | 1.04269091249245 |
5 | 166.3 | 166.373424887552 | -0.0734248875517096 |
6 | 166.27 | 166.699473288608 | -0.429473288608307 |
7 | 166.27 | 166.646359787858 | -0.376359787858348 |
8 | 166.44 | 166.626104762762 | -0.186104762762142 |
9 | 166.26 | 166.786088930142 | -0.52608893014164 |
10 | 166.64 | 166.577775744656 | 0.0622242553437218 |
11 | 166.07 | 166.961124545177 | -0.891124545177036 |
12 | 166.19 | 166.343165781758 | -0.153165781757792 |
13 | 166.19 | 166.454922667447 | -0.264922667446768 |
14 | 166.19 | 166.440664993139 | -0.250664993139367 |
15 | 166.35 | 166.42717464191 | -0.0771746419100907 |
16 | 166.52 | 166.58302123775 | -0.063021237749723 |
17 | 167.17 | 166.749629545031 | 0.420370454969287 |
18 | 167.16 | 167.422253147206 | -0.262253147205541 |
19 | 167.16 | 167.398139141805 | -0.238139141805448 |
20 | 167.16 | 167.385322909973 | -0.225322909972846 |
21 | 167.39 | 167.373196425307 | 0.0168035746928581 |
22 | 168.46 | 167.604100764288 | 0.855899235711718 |
23 | 168.55 | 168.720163763202 | -0.170163763201742 |
24 | 168.58 | 168.801005847278 | -0.221005847278434 |
25 | 168.58 | 168.819111699371 | -0.239111699371449 |
26 | 169.21 | 168.806243126193 | 0.403756873807254 |
27 | 169.29 | 169.457972614506 | -0.167972614505743 |
28 | 169.24 | 169.52893262237 | -0.288932622370368 |
29 | 169.53 | 169.46338277431 | 0.0666172256899529 |
30 | 169.57 | 169.756967996806 | -0.186967996806487 |
31 | 169.57 | 169.786905706441 | -0.216905706440514 |
32 | 169.67 | 169.775232220938 | -0.105232220937552 |
33 | 170.04 | 169.869568806979 | 0.170431193021102 |
34 | 170.39 | 170.248741115507 | 0.141258884492942 |
35 | 170.57 | 170.606343421446 | -0.0363434214461336 |
36 | 170.48 | 170.78438748211 | -0.304387482110371 |
37 | 170.48 | 170.678005880547 | -0.198005880547129 |
38 | 170.48 | 170.667349550596 | -0.187349550596196 |
39 | 170.49 | 170.657266725673 | -0.167266725673016 |
40 | 170.72 | 170.658264723239 | 0.0617352767607144 |
41 | 171.11 | 170.891587207789 | 0.218412792211495 |
42 | 171.07 | 171.29334180201 | -0.223341802010083 |
43 | 171.07 | 171.241321937108 | -0.171321937107649 |
44 | 171.07 | 171.232101690292 | -0.162101690291706 |
45 | 171.05 | 171.223377661023 | -0.173377661022585 |
46 | 172.28 | 171.194046778743 | 1.0859532212566 |
47 | 172.74 | 172.48249088053 | 0.257509119470285 |
48 | 172.86 | 172.95634957066 | -0.0963495706598678 |
49 | 172.86 | 173.071164205393 | -0.211164205393203 |
50 | 173.24 | 173.059799717428 | 0.180200282571889 |
51 | 173.2 | 173.449497781258 | -0.249497781258498 |
52 | 173.38 | 173.39607024733 | -0.01607024732985 |
53 | 172.89 | 173.575205374744 | -0.68520537474393 |
54 | 172.98 | 173.048328820688 | -0.0683288206878103 |
55 | 172.98 | 173.134651483144 | -0.154651483144107 |
56 | 172.69 | 173.126328410985 | -0.436328410984686 |
57 | 172.77 | 172.812845979546 | -0.0428459795459162 |
58 | 172.65 | 172.890540083914 | -0.240540083913686 |
59 | 172.3 | 172.757594637579 | -0.457594637578808 |
60 | 172.17 | 172.382967695044 | -0.212967695043886 |
61 | 172.17 | 172.241506146422 | -0.0715061464221378 |
62 | 173.07 | 172.237657810768 | 0.832342189231781 |
63 | 173.27 | 173.182453010668 | 0.0875469893315142 |
64 | 173.05 | 173.387164636414 | -0.337164636413888 |
65 | 173.41 | 173.149019025771 | 0.260980974229 |
66 | 173.37 | 173.523064565048 | -0.15306456504797 |
67 | 173.37 | 173.474826898043 | -0.104826898043143 |
68 | 173.08 | 173.469185297853 | -0.389185297853317 |
69 | 173.97 | 173.158240026256 | 0.811759973744245 |
70 | 175.23 | 174.09192752734 | 1.13807247265953 |
71 | 174.9 | 175.413176596021 | -0.513176596020742 |
72 | 174.83 | 175.055558329759 | -0.225558329759252 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 174.973419175213 | 174.217972590104 | 175.728865760321 |
74 | 175.116838350425 | 174.019350234984 | 176.214326465867 |
75 | 175.260257525638 | 173.880167740643 | 176.640347310633 |
76 | 175.403676700851 | 173.768284255843 | 177.039069145858 |
77 | 175.547095876063 | 173.671631128314 | 177.422560623812 |
78 | 175.690515051276 | 173.584207267467 | 177.796822835084 |
79 | 175.833934226489 | 173.502559571412 | 178.165308881565 |
80 | 175.977353401701 | 173.424511871259 | 178.530194932143 |
81 | 176.120772576914 | 173.348604702366 | 178.892940451462 |
82 | 176.264191752127 | 173.273814138745 | 179.254569365508 |
83 | 176.407610927339 | 173.199397020777 | 179.615824833901 |
84 | 176.551030102552 | 173.124799626284 | 179.97726057882 |