Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 83.7 | 73.0270833333334 | 10.6729166666667 |
14 | 86.4 | 86.6303030303031 | -0.230303030303062 |
15 | 85.9 | 85.4011363636364 | 0.498863636363652 |
16 | 80.4 | 79.817803030303 | 0.582196969696966 |
17 | 81.8 | 81.767803030303 | 0.0321969696969688 |
18 | 87.5 | 87.205303030303 | 0.294696969696957 |
19 | 83.7 | 90.930303030303 | -7.23030303030301 |
20 | 87 | 79.1344696969697 | 7.8655303030303 |
21 | 99.7 | 89.4136363636364 | 10.2863636363636 |
22 | 101.4 | 109.463636363636 | -8.06363636363638 |
23 | 101.9 | 107.58446969697 | -5.68446969696971 |
24 | 115.7 | 104.49696969697 | 11.2030303030303 |
25 | 123.2 | 116.467803030303 | 6.73219696969699 |
26 | 136.9 | 126.130303030303 | 10.7696969696969 |
27 | 146.8 | 135.901136363636 | 10.8988636363637 |
28 | 149.6 | 140.717803030303 | 8.88219696969693 |
29 | 146.5 | 150.967803030303 | -4.467803030303 |
30 | 157 | 151.905303030303 | 5.09469696969694 |
31 | 147.9 | 160.430303030303 | -12.530303030303 |
32 | 133.6 | 143.33446969697 | -9.73446969696971 |
33 | 128.7 | 136.013636363636 | -7.31363636363636 |
34 | 100.8 | 138.463636363636 | -37.6636363636364 |
35 | 91.8 | 106.98446969697 | -15.1844696969697 |
36 | 89.3 | 94.3969696969697 | -5.09696969696969 |
37 | 96.7 | 90.067803030303 | 6.63219696969699 |
38 | 91.6 | 99.6303030303031 | -8.03030303030307 |
39 | 93.3 | 90.6011363636363 | 2.69886363636365 |
40 | 93.3 | 87.217803030303 | 6.08219696969697 |
41 | 101 | 94.667803030303 | 6.33219696969698 |
42 | 100.4 | 106.405303030303 | -6.00530303030304 |
43 | 86.9 | 103.830303030303 | -16.930303030303 |
44 | 83.9 | 82.3344696969697 | 1.5655303030303 |
45 | 80.3 | 86.3136363636364 | -6.01363636363638 |
46 | 87.7 | 90.0636363636364 | -2.36363636363637 |
47 | 92.7 | 93.8844696969697 | -1.18446969696971 |
48 | 95.5 | 95.2969696969697 | 0.203030303030303 |
49 | 92 | 96.267803030303 | -4.26780303030301 |
50 | 87.4 | 94.9303030303031 | -7.53030303030306 |
51 | 86.8 | 86.4011363636364 | 0.398863636363643 |
52 | 83.7 | 80.717803030303 | 2.98219696969697 |
53 | 85 | 85.067803030303 | -0.0678030303030255 |
54 | 81.7 | 90.405303030303 | -8.70530303030304 |
55 | 90.9 | 85.130303030303 | 5.76969696969699 |
56 | 101.5 | 86.3344696969697 | 15.1655303030303 |
57 | 113.8 | 103.913636363636 | 9.88636363636363 |
58 | 120.1 | 123.563636363636 | -3.46363636363638 |
59 | 122.1 | 126.28446969697 | -4.18446969696971 |
60 | 132.5 | 124.69696969697 | 7.80303030303031 |
61 | 140 | 133.267803030303 | 6.73219696969699 |
62 | 149.4 | 142.930303030303 | 6.46969696969694 |
63 | 144.3 | 148.401136363636 | -4.10113636363633 |
64 | 154.4 | 138.217803030303 | 16.1821969696969 |
65 | 151.4 | 155.767803030303 | -4.36780303030301 |
66 | 145.5 | 156.805303030303 | -11.3053030303031 |
67 | 136.8 | 148.930303030303 | -12.130303030303 |
68 | 146.6 | 132.23446969697 | 14.3655303030303 |
69 | 145.1 | 149.013636363636 | -3.91363636363636 |
70 | 133.6 | 154.863636363636 | -21.2636363636364 |
71 | 131.4 | 139.78446969697 | -8.38446969696972 |
72 | 127.5 | 133.99696969697 | -6.4969696969697 |
73 | 130.1 | 128.267803030303 | 1.83219696969698 |
74 | 131.1 | 133.030303030303 | -1.93030303030307 |
75 | 132.3 | 130.101136363636 | 2.19886363636368 |
76 | 128.6 | 126.217803030303 | 2.38219696969693 |
77 | 125.1 | 129.967803030303 | -4.86780303030301 |
78 | 128.7 | 130.505303030303 | -1.80530303030307 |
79 | 156.1 | 132.130303030303 | 23.969696969697 |
80 | 163.2 | 151.53446969697 | 11.6655303030303 |
81 | 159.8 | 165.613636363636 | -5.81363636363633 |
82 | 157.4 | 169.563636363636 | -12.1636363636364 |
83 | 156.2 | 163.58446969697 | -7.38446969696975 |
84 | 152.5 | 158.79696969697 | -6.29696969696968 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 153.267803030303 | 134.45124145681 | 172.084364603796 |
86 | 156.198106060606 | 129.587469486144 | 182.808742635068 |
87 | 155.199242424242 | 122.608001755205 | 187.79048309328 |
88 | 149.117045454545 | 111.48392230756 | 186.750168601531 |
89 | 150.484848484848 | 108.409737703708 | 192.559959265988 |
90 | 155.890151515152 | 109.799176946433 | 201.98112608387 |
91 | 159.320454545454 | 109.536512092659 | 209.10439699825 |
92 | 154.754924242424 | 101.533651093501 | 207.976197391348 |
93 | 157.168560606061 | 100.718875885583 | 213.618245326539 |
94 | 166.932196969697 | 107.429004664658 | 226.435389274736 |
95 | 173.116666666667 | 110.709192082772 | 235.524141250561 |
96 | 175.713636363636 | 110.531155025561 | 240.896117701711 |