| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.559630632692926 |
| beta | 0.0234545572772744 |
| gamma | 0.256002529557058 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 5.101 | 5.07301556347594 | 0.0279844365240587 |
| 14 | 4.763 | 4.7449179365452 | 0.0180820634547976 |
| 15 | 5.505 | 5.49487822431458 | 0.0101217756854188 |
| 16 | 5.385 | 5.38496272894387 | 3.72710561293843e-05 |
| 17 | 5.794 | 5.79975376250684 | -0.00575376250684023 |
| 18 | 5.695 | 5.70034313780302 | -0.00534313780302309 |
| 19 | 5.798 | 5.66111500842549 | 0.136884991574514 |
| 20 | 5.705 | 5.73661660126565 | -0.0316166012656511 |
| 21 | 5.422 | 5.49249451976837 | -0.0704945197683662 |
| 22 | 5.311 | 5.40815241789843 | -0.09715241789843 |
| 23 | 4.968 | 4.97144204584224 | -0.00344204584224439 |
| 24 | 5.053 | 5.0294332835595 | 0.023566716440504 |
| 25 | 5.236 | 5.16448019332548 | 0.0715198066745204 |
| 26 | 4.782 | 4.85242116638604 | -0.0704211663860352 |
| 27 | 5.531 | 5.55986841956288 | -0.0288684195628779 |
| 28 | 5.566 | 5.42487731395309 | 0.141122686046906 |
| 29 | 5.961 | 5.92766553986306 | 0.0333344601369365 |
| 30 | 5.868 | 5.8486985667757 | 0.0193014332242951 |
| 31 | 5.872 | 5.83982362081296 | 0.0321763791870442 |
| 32 | 5.908 | 5.83733994039559 | 0.0706600596044149 |
| 33 | 5.594 | 5.64068079502438 | -0.0466807950243826 |
| 34 | 5.526 | 5.56654521918851 | -0.0405452191885098 |
| 35 | 5.111 | 5.1601603579849 | -0.0491603579848992 |
| 36 | 5.177 | 5.19919322455277 | -0.0221932245527690 |
| 37 | 5.835 | 5.31850287374055 | 0.516497126259449 |
| 38 | 5.348 | 5.2174563480268 | 0.130543651973195 |
| 39 | 6.038 | 6.12779419212348 | -0.0897941921234828 |
| 40 | 6.039 | 5.97687436385332 | 0.0621256361466758 |
| 41 | 6.408 | 6.4682974133028 | -0.0602974133028047 |
| 42 | 6.214 | 6.3342657063743 | -0.120265706374304 |
| 43 | 6.138 | 6.2527012340951 | -0.114701234095095 |
| 44 | 6.529 | 6.17479685606507 | 0.35420314393493 |
| 45 | 6.058 | 6.10934525352416 | -0.0513452535241612 |
| 46 | 6.026 | 6.03568235453588 | -0.00968235453587596 |
| 47 | 5.678 | 5.6177837491262 | 0.0602162508737987 |
| 48 | 5.733 | 5.73597020508194 | -0.00297020508193935 |
| 49 | 6.488 | 5.95219468945357 | 0.535805310546427 |
| 50 | 5.936 | 5.78055611866845 | 0.155443881331553 |
| 51 | 6.84 | 6.77441599678465 | 0.0655840032153456 |
| 52 | 6.694 | 6.72742122244282 | -0.033421222442823 |
| 53 | 7.193 | 7.21184406668911 | -0.0188440666891099 |
| 54 | 6.991 | 7.09108209706072 | -0.100082097060715 |
| 55 | 7.209 | 7.02979482794505 | 0.179205172054952 |
| 56 | 7.104 | 7.18774743122067 | -0.083747431220667 |
| 57 | 6.83 | 6.8040776983585 | 0.0259223016415033 |
| 58 | 6.848 | 6.78202583694572 | 0.0659741630542792 |
| 59 | 6.396 | 6.370108388231 | 0.0258916117689951 |
| 60 | 6.414 | 6.48027661401617 | -0.0662766140161706 |
| 61 | 7.151 | 6.76099735421847 | 0.390002645781527 |
| 62 | 6.882 | 6.4153440515842 | 0.466655948415798 |
| 63 | 7.698 | 7.70325146888048 | -0.00525146888047789 |
| 64 | 7.626 | 7.60158611419885 | 0.0244138858011462 |
| 65 | 7.936 | 8.1982358398763 | -0.262235839876304 |
| 66 | 8.054 | 7.92476783349304 | 0.129232166506958 |
| 67 | 8.128 | 8.03610715161735 | 0.0918928483826491 |
| 68 | 8.062 | 8.12739902701665 | -0.0653990270166513 |
| 69 | 7.708 | 7.73081600475976 | -0.0228160047597576 |
| 70 | 7.574 | 7.6891884823673 | -0.115188482367305 |
| 71 | 7.039 | 7.12332248022609 | -0.0843224802260876 |
| 72 | 7.146 | 7.17434038702171 | -0.0283403870217143 |
| 73 | 7.07 | 7.57214065910529 | -0.50214065910529 |
| 74 | 6.607 | 6.70755739519404 | -0.100557395194036 |
| 75 | 7.699 | 7.60113660142225 | 0.097863398577747 |
| 76 | 7.663 | 7.5499338821622 | 0.113066117837794 |
| 77 | 7.988 | 8.1521536287938 | -0.164153628793799 |
| 78 | 7.723 | 7.96754458481684 | -0.244544584816841 |
| 79 | 8.087 | 7.85122221626515 | 0.235777783734851 |
| 80 | 8.028 | 7.99312241174013 | 0.0348775882598753 |
| 81 | 7.362 | 7.65033431707146 | -0.288334317071460 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 82 | 7.43795866059125 | 7.2179360611372 | 7.6579812600453 |
| 83 | 6.94058579783755 | 6.65987695290096 | 7.22129464277413 |
| 84 | 7.03329310479988 | 6.69169928176905 | 7.37488692783072 |
| 85 | 7.37521787293669 | 6.96926868872621 | 7.78116705714716 |
| 86 | 6.82208278308186 | 6.39582706579329 | 7.24833850037044 |
| 87 | 7.81732520119703 | 7.29206027657601 | 8.34259012581805 |
| 88 | 7.70633658614493 | 7.14801863770682 | 8.26465453458304 |
| 89 | 8.21298434690198 | 7.58195204961806 | 8.8440166441859 |
| 90 | 8.10425593207339 | 7.44438343241672 | 8.76412843173005 |
| 91 | 8.17990193173653 | 7.47815680219502 | 8.88164706127805 |
| 92 | 8.16277586767828 | 7.42721510163502 | 8.89833663372153 |
| 93 | 7.75176068555115 | -1.23059058928206 | 16.7341119603844 |
