| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.938589004712726 |
| beta | 0.185994942007099 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 8.22 | 8.23 | -0.00999999999999979 |
| 4 | 8.21 | 8.19886838187787 | 0.0111316181221284 |
| 5 | 8.12 | 8.18951394600456 | -0.0695139460045624 |
| 6 | 8.16 | 8.09233122564866 | 0.0676687743513398 |
| 7 | 8.15 | 8.13571982617399 | 0.0142801738260108 |
| 8 | 8.1 | 8.13149140330564 | -0.0314914033056404 |
| 9 | 8.09 | 8.07880473872598 | 0.01119526127402 |
| 10 | 8.02 | 8.06813769635995 | -0.0481376963599534 |
| 11 | 8.03 | 7.99337785954145 | 0.0366221404585492 |
| 12 | 7.98 | 8.00456590347855 | -0.0245659034785479 |
| 13 | 7.95 | 7.95403498341738 | -0.00403498341738295 |
| 14 | 7.92 | 7.92206976079888 | -0.00206976079887511 |
| 15 | 7.96 | 7.8915877505684 | 0.0684122494316028 |
| 16 | 7.96 | 7.93920229862097 | 0.0207977013790348 |
| 17 | 7.94 | 7.94575706852631 | -0.00575706852631175 |
| 18 | 7.83 | 7.92638279576022 | -0.0963827957602161 |
| 19 | 7.77 | 7.80512239661772 | -0.0351223966177194 |
| 20 | 7.8 | 7.735228919151 | 0.0647710808490034 |
| 21 | 7.78 | 7.77040163070568 | 0.00959836929431912 |
| 22 | 7.78 | 7.75546545611008 | 0.0245345438899154 |
| 23 | 7.8 | 7.75883127496998 | 0.0411687250300208 |
| 24 | 7.81 | 7.78499669326006 | 0.0250033067399347 |
| 25 | 7.95 | 7.80035432514087 | 0.149645674859132 |
| 26 | 8.02 | 7.9588239788501 | 0.0611760211498957 |
| 27 | 7.99 | 8.04493665810093 | -0.0549366581009263 |
| 28 | 8.01 | 8.01247680665984 | -0.0024768066598444 |
| 29 | 8.03 | 8.02882281187798 | 0.0011771881220195 |
| 30 | 8.05 | 8.04880392145707 | 0.00119607854293236 |
| 31 | 8.05 | 8.06901156416675 | -0.0190115641667479 |
| 32 | 8.06 | 8.06693363348641 | -0.00693363348640474 |
| 33 | 8.07 | 8.07498149187841 | -0.00498149187841435 |
| 34 | 7.99 | 8.08399197589657 | -0.0939919758965733 |
| 35 | 8 | 7.99304975519639 | 0.00695024480361006 |
| 36 | 8.01 | 7.99806411670486 | 0.0119358832951377 |
| 37 | 8 | 8.00984162433978 | -0.00984162433977964 |
| 38 | 8.09 | 7.99946092276716 | 0.0905390772328394 |
| 39 | 8.1 | 8.09910210487695 | 0.000897895123047832 |
| 40 | 8.12 | 8.11476380716151 | 0.00523619283848831 |
| 41 | 8.29 | 8.13541148486538 | 0.154588515134618 |
| 42 | 8.32 | 8.32322656119902 | -0.00322656119902298 |
| 43 | 8.36 | 8.36235487226093 | -0.00235487226092701 |
| 44 | 8.38 | 8.40189024431376 | -0.0218902443137612 |
| 45 | 8.48 | 8.41926848954812 | 0.0607315104518804 |
| 46 | 8.45 | 8.52479667563888 | -0.0747966756388845 |
| 47 | 8.41 | 8.49006213077824 | -0.0800621307782432 |
| 48 | 8.38 | 8.4364088166746 | -0.0564088166745993 |
| 49 | 8.38 | 8.39510879761901 | -0.0151087976190123 |
| 50 | 8.34 | 8.38993493712513 | -0.0499349371251263 |
| 51 | 8.41 | 8.34335636284794 | 0.0666436371520636 |
| 52 | 8.34 | 8.41783132341205 | -0.0778313234120542 |
| 53 | 8.22 | 8.3431164418949 | -0.123116441894897 |
| 54 | 8.27 | 8.20440466318163 | 0.0655953368183742 |
| 55 | 8.18 | 8.25426684713571 | -0.0742668471357053 |
| 56 | 8.19 | 8.15989095104672 | 0.03010904895328 |
| 57 | 8.19 | 8.16873734459083 | 0.0212626554091742 |
| 58 | 8.13 | 8.17299249187276 | -0.0429924918727558 |
| 59 | 8.06 | 8.10943314441202 | -0.0494331444120206 |
| 60 | 7.99 | 8.0311989884912 | -0.0411989884911961 |
| 61 | 8 | 7.95350109769368 | 0.0464989023063227 |
| 62 | 7.98 | 7.96623292685649 | 0.0137670731435087 |
| 63 | 7.92 | 7.95064637767267 | -0.0306463776726744 |
| 64 | 7.93 | 7.88802382770141 | 0.041976172298587 |
| 65 | 7.9 | 7.90089190287365 | -0.000891902873647155 |
| 66 | 7.86 | 7.87336877204735 | -0.0133687720473539 |
| 67 | 7.88 | 7.83180116493225 | 0.0481988350677529 |
| 68 | 7.88 | 7.85643444285786 | 0.0235655571421391 |
| 69 | 7.93 | 7.86206110244307 | 0.0679388975569326 |
| 70 | 7.91 | 7.92119637552894 | -0.0111963755289439 |
| 71 | 7.89 | 7.90410156870157 | -0.0141015687015669 |
| 72 | 7.93 | 7.88181822906741 | 0.0481817709325885 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 7.92640457421269 | 7.82380717534348 | 8.0290019730819 |
| 74 | 7.92576803893305 | 7.77224416201135 | 8.07929191585476 |
| 75 | 7.92513150365341 | 7.72258569283637 | 8.12767731447045 |
| 76 | 7.92449496837378 | 7.67243646756352 | 8.17655346918403 |
| 77 | 7.92385843309414 | 7.62097691280739 | 8.22673995338089 |
| 78 | 7.9232218978145 | 7.56786633577328 | 8.27857745985573 |
| 79 | 7.92258536253486 | 7.51295607189444 | 8.33221465317528 |
| 80 | 7.92194882725522 | 7.4561865019705 | 8.38771115253995 |
| 81 | 7.92131229197559 | 7.39754294705512 | 8.44508163689606 |
| 82 | 7.92067575669595 | 7.33703452073457 | 8.50431699265732 |
| 83 | 7.92003922141631 | 7.274683173908 | 8.56539526892462 |
| 84 | 7.91940268613667 | 7.21051770153473 | 8.62828767073861 |
