Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.842236341974113 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 1 | 2 | -1 |
3 | -8 | 1.15776365802589 | -9.15776365802589 |
4 | -1 | -6.5552377059733 | 5.5552377059733 |
5 | 1 | -1.87641462169769 | 2.87641462169769 |
6 | -1 | 0.546206307281824 | -1.54620630728182 |
7 | 2 | -0.75606483690052 | 2.75606483690052 |
8 | 2 | 1.56519312957405 | 0.434806870425947 |
9 | 1 | 1.93140327758681 | -0.931403277586815 |
10 | -1 | 1.14694158816940 | -2.14694158816940 |
11 | -2 | -0.661290641482488 | -1.33870935851751 |
12 | -2 | -1.78880031456679 | -0.211199685433212 |
13 | -1 | -1.96668036505214 | 0.96668036505214 |
14 | -8 | -1.15250703053243 | -6.84749296946757 |
15 | -4 | -6.91971446083025 | 2.91971446083025 |
16 | -6 | -4.46062483373166 | -1.53937516626834 |
17 | -3 | -5.7571425426953 | 2.7571425426953 |
18 | -3 | -3.43497689323441 | 0.434976893234406 |
19 | -7 | -3.06862354583340 | -3.9313764541666 |
20 | -9 | -6.37977166951383 | -2.62022833048617 |
21 | -11 | -8.58662319371944 | -2.41337680628056 |
22 | -13 | -10.6192568468463 | -2.38074315315366 |
23 | -11 | -12.6244052513384 | 1.62440525133839 |
24 | -9 | -11.2562721145676 | 2.25627211456760 |
25 | -17 | -9.35595774229599 | -7.64404225770401 |
26 | -22 | -15.7940479313202 | -6.20595206867985 |
27 | -25 | -21.0209263001117 | -3.97907369988826 |
28 | -20 | -24.372246777551 | 4.37224677755103 |
29 | -24 | -20.6897816454183 | -3.31021835458165 |
30 | -24 | -23.4777678435168 | -0.522232156483238 |
31 | -22 | -23.9176107446545 | 1.91761074465446 |
32 | -19 | -22.3025292857464 | 3.30252928574643 |
33 | -18 | -19.5210191008570 | 1.52101910085698 |
34 | -17 | -18.2399615372784 | 1.23996153727844 |
35 | -11 | -17.1956208679325 | 6.19562086793245 |
36 | -11 | -11.9774438118665 | 0.977443811866546 |
37 | -12 | -11.1542051112748 | -0.845794888725166 |
38 | -10 | -11.8665643044151 | 1.86656430441512 |
39 | -15 | -10.2944760126051 | -4.70552398739493 |
40 | -15 | -14.2576393228200 | -0.742360677179983 |
41 | -15 | -14.8828824639935 | -0.117117536006489 |
42 | -13 | -14.9815231091006 | 1.98152310910064 |
43 | -8 | -13.3126123341545 | 5.31261233415455 |
44 | -13 | -8.83813715550967 | -4.16186284449033 |
45 | -9 | -12.3434092934512 | 3.34340929345118 |
46 | -7 | -9.5274684804126 | 2.52746848041261 |
47 | -4 | -7.39874267301502 | 3.39874267301502 |
48 | -4 | -4.53619807678353 | 0.536198076783532 |
49 | -2 | -4.08459257001982 | 2.08459257001982 |
50 | 0 | -2.32887294933991 | 2.32887294933991 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
51 | -0.367411515565401 | -7.09673005461784 | 6.36190702348704 |
52 | -0.367411515565401 | -9.1654957607746 | 8.43067272964379 |
53 | -0.367411515565401 | -10.8330144495373 | 10.0981914184065 |
54 | -0.367411515565401 | -12.2691510168873 | 11.5343279857565 |
55 | -0.367411515565401 | -13.5497467238314 | 12.8149236927006 |
56 | -0.367411515565401 | -14.7165062580518 | 13.9816832269210 |
57 | -0.367411515565401 | -15.7952784554445 | 15.0604554243137 |
58 | -0.367411515565401 | -16.8033975431933 | 16.0685745120625 |
59 | -0.367411515565401 | -17.7531584102531 | 17.0183353791223 |
60 | -0.367411515565401 | -18.6536564409705 | 17.9188334098397 |
61 | -0.367411515565401 | -19.5118444363303 | 18.7770214051995 |
62 | -0.367411515565401 | -20.3331789749803 | 19.5983559438495 |