| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0719407104710672 |
| gamma | 0 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 4.73 | 4.73 | 0 |
| 4 | 4.73 | 4.73 | 0 |
| 5 | 4.74 | 4.73 | 0.00999999999999979 |
| 6 | 4.74 | 4.74071940710471 | -0.000719407104710967 |
| 7 | 4.74 | 4.74066765244648 | -0.000667652446479927 |
| 8 | 4.74 | 4.74061962105513 | -0.000619621055132136 |
| 9 | 4.74 | 4.7405750450762 | -0.000575045076203651 |
| 10 | 4.76 | 4.74053367592487 | 0.0194663240751316 |
| 11 | 4.76 | 4.76193409710909 | -0.00193409710909354 |
| 12 | 4.76 | 4.76179495678895 | -0.00179495678894526 |
| 13 | 4.76 | 4.76166582632228 | -0.00166582632228351 |
| 14 | 4.76 | 4.76154598559314 | -0.00154598559313701 |
| 15 | 4.76 | 4.76143476629119 | -0.00143476629118844 |
| 16 | 4.77 | 4.76133154818484 | 0.00866845181515874 |
| 17 | 4.77 | 4.77195516276711 | -0.00195516276710705 |
| 18 | 4.78 | 4.77181450696856 | 0.00818549303144511 |
| 19 | 4.78 | 4.78240337715279 | -0.00240337715279360 |
| 20 | 4.79 | 4.78223047649289 | 0.00776952350710847 |
| 21 | 4.83 | 4.79278942153401 | 0.0372105784659853 |
| 22 | 4.84 | 4.8354663769859 | 0.00453362301410287 |
| 23 | 4.85 | 4.84579252904654 | 0.0042074709534603 |
| 24 | 4.85 | 4.85609521749622 | -0.00609521749621766 |
| 25 | 4.86 | 4.85565672321906 | 0.00434327678093638 |
| 26 | 4.87 | 4.86596918163646 | 0.00403081836354247 |
| 27 | 4.87 | 4.87625916157331 | -0.0062591615733103 |
| 28 | 4.9 | 4.87580887304277 | 0.0241911269572270 |
| 29 | 4.9 | 4.90754919990317 | -0.00754919990317227 |
| 30 | 4.92 | 4.90700610509865 | 0.0129938949013502 |
| 31 | 4.92 | 4.92794089512964 | -0.00794089512963936 |
| 32 | 4.95 | 4.92736962149224 | 0.0226303785077633 |
| 33 | 4.96 | 4.95899766700031 | 0.00100233299968533 |
| 34 | 4.95 | 4.96906977554844 | -0.0190697755484397 |
| 35 | 4.95 | 4.95769788234696 | -0.007697882346962 |
| 36 | 4.95 | 4.9571440912218 | -0.00714409122179838 |
| 37 | 4.96 | 4.95663014022363 | 0.00336985977636761 |
| 38 | 4.96 | 4.96687257033013 | -0.006872570330132 |
| 39 | 4.96 | 4.96637815273782 | -0.0063781527378195 |
| 40 | 4.96 | 4.96591930389837 | -0.00591930389836826 |
| 41 | 4.97 | 4.96549346497043 | 0.00450653502957454 |
| 42 | 4.97 | 4.97581766830222 | -0.00581766830221575 |
| 43 | 4.97 | 4.97539914111127 | -0.00539914111126905 |
| 44 | 5.03 | 4.97501072306379 | 0.054989276936209 |
| 45 | 5.08 | 5.03896669071487 | 0.0410333092851278 |
| 46 | 5.1 | 5.09191865613782 | 0.00808134386217585 |
| 47 | 5.11 | 5.11250003375683 | -0.00250003375682883 |
| 48 | 5.13 | 5.12232017955216 | 0.0076798204478381 |
| 49 | 5.13 | 5.14287267129147 | -0.0128726712914693 |
| 50 | 5.13 | 5.1419466021731 | -0.0119466021731007 |
| 51 | 5.15 | 5.14108715512505 | 0.00891284487494826 |
| 52 | 5.15 | 5.16172835151767 | -0.0117283515176743 |
| 53 | 5.15 | 5.16088460557684 | -0.0108846055768383 |
| 54 | 5.17 | 5.16010155931844 | 0.00989844068155588 |
| 55 | 5.17 | 5.18081366017363 | -0.0108136601736302 |
| 56 | 5.18 | 5.18003571777795 | -3.57177779468643e-05 |
| 57 | 5.2 | 5.19003314821562 | 0.00996685178437584 |
| 58 | 5.22 | 5.21075017061415 | 0.00924982938584673 |
| 59 | 5.23 | 5.23141560991191 | -0.00141560991190559 |
| 60 | 5.23 | 5.24131376992909 | -0.0113137699290942 |
| 61 | 5.26 | 5.24049984928229 | 0.0195001507177102 |
| 62 | 5.27 | 5.27190270397921 | -0.00190270397921388 |
| 63 | 5.28 | 5.28176582210313 | -0.00176582210313203 |
| 64 | 5.31 | 5.29163878760647 | 0.0183612123935308 |
| 65 | 5.31 | 5.32295970627117 | -0.0129597062711690 |
| 66 | 5.32 | 5.32202737579452 | -0.00202737579452439 |
| 67 | 5.33 | 5.33188152493948 | -0.00188152493947502 |
| 68 | 5.34 | 5.34174616669856 | -0.00174616669856054 |
| 69 | 5.38 | 5.35162054622566 | 0.0283794537743356 |
| 70 | 5.39 | 5.39366218429297 | -0.00366218429297138 |
| 71 | 5.41 | 5.40339872415306 | 0.00660127584694159 |
| 72 | 5.44 | 5.4238736246275 | 0.0161263753724974 |
| 73 | 5.44 | 5.45503376752912 | -0.0150337675291237 |
| 74 | 5.44 | 5.45395222761202 | -0.0139522276120214 |
| 75 | 5.46 | 5.45294849444496 | 0.00705150555504108 |
| 76 | 5.47 | 5.47345578476448 | -0.00345578476447983 |
| 77 | 5.47 | 5.48320717315329 | -0.0132071731532877 |
| 78 | 5.49 | 5.48225703973333 | 0.00774296026667454 |
| 79 | 5.49 | 5.50281407379606 | -0.0128140737960596 |
| 80 | 5.5 | 5.50189222022314 | -0.00189222022314262 |
| 81 | 5.52 | 5.51175609255592 | 0.00824390744407832 |
| 82 | 5.59 | 5.53234916511451 | 0.0576508348854938 |
| 83 | 5.6 | 5.60649660713542 | -0.00649660713541955 |
| 84 | 5.6 | 5.61602923660245 | -0.0160292366024457 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 5.61487608193296 | 5.58697821091768 | 5.64277395294823 |
| 86 | 5.62975216386591 | 5.58885482802714 | 5.67064949970468 |
| 87 | 5.64462824579887 | 5.59275379492313 | 5.69650269667461 |
| 88 | 5.65950432773183 | 5.5975249200941 | 5.72148373536955 |
| 89 | 5.67438040966478 | 5.60274164173718 | 5.74601917759238 |
| 90 | 5.68925649159774 | 5.60819470658204 | 5.77031827661344 |
| 91 | 5.7041325735307 | 5.61376552882163 | 5.79449961823976 |
| 92 | 5.71900865546365 | 5.61938065514332 | 5.81863665578398 |
| 93 | 5.73388473739661 | 5.6249917804887 | 5.84277769430452 |
| 94 | 5.74876081932957 | 5.63056576166005 | 5.86695587699908 |
| 95 | 5.76363690126252 | 5.6360791446698 | 5.89119465785525 |
| 96 | 5.77851298319548 | 5.64151495061237 | 5.91551101577859 |
