Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.91594433817239 |
beta | 0.254681260792864 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 150.1 | 130.88058478487 | 19.2194152151301 |
14 | 154.9 | 157.905109673890 | -3.00510967389044 |
15 | 162.1 | 163.119940761206 | -1.01994076120627 |
16 | 176.7 | 176.837042114557 | -0.137042114557289 |
17 | 186.6 | 187.219177521515 | -0.619177521514899 |
18 | 194.8 | 194.736387791569 | 0.0636122084314081 |
19 | 196.3 | 222.232225112377 | -25.9322251123766 |
20 | 228.8 | 195.117517157823 | 33.6824828421766 |
21 | 267.2 | 224.202594102331 | 42.9974058976687 |
22 | 237.2 | 283.901442079443 | -46.7014420794433 |
23 | 254.7 | 244.789504495632 | 9.91049550436773 |
24 | 258.2 | 271.28539781617 | -13.0853978161700 |
25 | 257.9 | 263.814699897086 | -5.91469989708571 |
26 | 269.6 | 262.399814808797 | 7.20018519120333 |
27 | 266.9 | 276.905536256762 | -10.0055362567618 |
28 | 269.6 | 284.382714022403 | -14.7827140224032 |
29 | 253.9 | 276.767504829663 | -22.8675048296630 |
30 | 258.6 | 253.209197207961 | 5.39080279203932 |
31 | 274.2 | 278.157364936914 | -3.95736493691419 |
32 | 301.5 | 270.011846774133 | 31.4881532258671 |
33 | 304.5 | 288.32979416855 | 16.1702058314501 |
34 | 285.1 | 302.837171801158 | -17.7371718011576 |
35 | 287.7 | 290.070933366641 | -2.37093336664128 |
36 | 265.5 | 296.128872327679 | -30.6288723276792 |
37 | 264.1 | 261.449956109600 | 2.6500438904003 |
38 | 276.1 | 259.405421606030 | 16.6945783939705 |
39 | 258.9 | 273.855365360832 | -14.9553653608322 |
40 | 239.1 | 267.417240107409 | -28.3172401074092 |
41 | 250.1 | 234.472683992849 | 15.6273160071509 |
42 | 276.8 | 245.502094112041 | 31.2979058879588 |
43 | 297.6 | 297.851825910214 | -0.251825910213597 |
44 | 295.4 | 299.929471940812 | -4.52947194081179 |
45 | 283 | 280.144564306973 | 2.8554356930274 |
46 | 275.8 | 273.468688520899 | 2.33131147910086 |
47 | 279.7 | 278.113449979531 | 1.58655002046862 |
48 | 254.6 | 283.769198230010 | -29.1691982300104 |
49 | 234.6 | 252.186511999984 | -17.586511999984 |
50 | 176.9 | 227.075627290153 | -50.1756272901533 |
51 | 148.1 | 158.405168445699 | -10.3051684456992 |
52 | 122.7 | 131.101893376469 | -8.4018933764694 |
53 | 124.9 | 101.292938655341 | 23.6070613446595 |
54 | 121.6 | 104.767825624628 | 16.8321743753722 |
55 | 128.4 | 111.614796694672 | 16.7852033053279 |
56 | 144.5 | 114.106816448153 | 30.3931835518466 |
57 | 151.8 | 128.823794911813 | 22.9762050881868 |
58 | 167.1 | 143.993622153862 | 23.1063778461379 |
59 | 173.8 | 170.613931009588 | 3.18606899041225 |
60 | 203.7 | 178.801986795766 | 24.8980132042344 |
61 | 199.8 | 213.502594383305 | -13.7025943833049 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 205.237717295804 | 164.921283817349 | 245.554150774259 |
63 | 213.526101489112 | 152.16778895417 | 274.884414024055 |
64 | 228.756986518236 | 143.997795658477 | 313.516177377995 |
65 | 248.064929318224 | 136.535302367125 | 359.594556269323 |
66 | 258.946715255600 | 122.318556216615 | 395.574874294584 |
67 | 285.912727856994 | 113.677834705983 | 458.147621008005 |
68 | 297.236700587116 | 96.2403909860852 | 498.233010188147 |
69 | 288.655223364216 | 72.0672682197685 | 505.243178508664 |
70 | 285.761732983868 | 50.2384250387331 | 521.285040929004 |
71 | 291.659694904361 | 29.9406821266919 | 553.378707682029 |
72 | 301.529738208398 | 9.14505609709352 | 593.914420319703 |
73 | 305.301865648701 | -10.1412613150731 | 620.744992612474 |