| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.698110842696967 |
| beta | -1.86211723124385e-17 |
| gamma | 0.685634935123121 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 8 | 7.91096688034188 | 0.0890331196581196 |
| 14 | 7.9 | 7.8793602115227 | 0.020639788477304 |
| 15 | 7.99 | 7.98917408330469 | 0.000825916695314177 |
| 16 | 8.02 | 8.02598900969319 | -0.00598900969319516 |
| 17 | 8.08 | 8.08637969541104 | -0.00637969541103622 |
| 18 | 8.02 | 8.01899763919316 | 0.0010023608068348 |
| 19 | 8.07 | 8.15468574312905 | -0.0846857431290537 |
| 20 | 8.11 | 8.12472071928382 | -0.0147207192838241 |
| 21 | 8.19 | 8.16901570386116 | 0.0209842961388347 |
| 22 | 8.16 | 8.18823674684373 | -0.0282367468437297 |
| 23 | 8.08 | 7.99892937936464 | 0.081070620635356 |
| 24 | 8.22 | 8.09218067030937 | 0.127819329690629 |
| 25 | 8.15 | 8.19482966255595 | -0.0448296625559514 |
| 26 | 8.19 | 8.05561548889983 | 0.134384511100174 |
| 27 | 8.31 | 8.24073459567808 | 0.0692654043219196 |
| 28 | 8.3 | 8.32391727777867 | -0.0239172777786685 |
| 29 | 8.34 | 8.37171117877786 | -0.0317111787778561 |
| 30 | 8.31 | 8.28817291982334 | 0.0218270801766565 |
| 31 | 8.38 | 8.42066276944981 | -0.0406627694498098 |
| 32 | 8.34 | 8.43591242398683 | -0.0959124239868281 |
| 33 | 8.44 | 8.4309170286693 | 0.00908297133070235 |
| 34 | 8.64 | 8.43164157312639 | 0.208358426873607 |
| 35 | 8.6 | 8.43012892949141 | 0.169871070508586 |
| 36 | 8.61 | 8.5950490940644 | 0.0149509059356028 |
| 37 | 8.54 | 8.58316753426229 | -0.0431675342622935 |
| 38 | 8.69 | 8.48220849103331 | 0.20779150896669 |
| 39 | 8.73 | 8.70509509161504 | 0.0249049083849648 |
| 40 | 8.91 | 8.7380217429138 | 0.171978257086199 |
| 41 | 9.01 | 8.92095921437265 | 0.0890407856273505 |
| 42 | 9.08 | 8.9328008678787 | 0.147199132121303 |
| 43 | 8.94 | 9.13987979777273 | -0.199879797772731 |
| 44 | 9.03 | 9.03254242716024 | -0.002542427160245 |
| 45 | 9.02 | 9.11446218994836 | -0.0944621899483593 |
| 46 | 8.96 | 9.08414791478423 | -0.124147914784226 |
| 47 | 9.03 | 8.84254265434261 | 0.187457345657386 |
| 48 | 8.94 | 8.9876737213944 | -0.0476737213944016 |
| 49 | 8.95 | 8.9200435411385 | 0.0299564588615038 |
| 50 | 8.95 | 8.9220780968507 | 0.0279219031493039 |
| 51 | 8.99 | 8.98154085464455 | 0.00845914535544523 |
| 52 | 8.93 | 9.03342862825106 | -0.103428628251059 |
| 53 | 8.98 | 9.00693469193883 | -0.026934691938834 |
| 54 | 8.95 | 8.94985055619857 | 0.000149443801429783 |
| 55 | 9.02 | 8.98243211068246 | 0.0375678893175433 |
| 56 | 8.92 | 9.08170556920922 | -0.161705569209223 |
| 57 | 9.1 | 9.033485735479 | 0.0665142645209968 |
| 58 | 9.06 | 9.10940634649682 | -0.0494063464968164 |
| 59 | 8.97 | 8.98447683468011 | -0.0144768346801083 |
| 60 | 8.89 | 8.93996668001106 | -0.0499666800110568 |
| 61 | 8.99 | 8.88680410178187 | 0.103195898218134 |
| 62 | 8.79 | 8.93954678017631 | -0.14954678017631 |
| 63 | 8.83 | 8.87108821232823 | -0.0410882123282317 |
| 64 | 8.61 | 8.86522726326175 | -0.25522726326175 |
| 65 | 8.71 | 8.7485942089328 | -0.0385942089327944 |
| 66 | 8.91 | 8.68897646818308 | 0.221023531816918 |
| 67 | 8.91 | 8.88349770349446 | 0.0265022965055373 |
| 68 | 8.89 | 8.93379938487569 | -0.0437993848756939 |
| 69 | 8.98 | 9.01512939093413 | -0.0351293909341344 |
| 70 | 9 | 8.99609754905291 | 0.00390245094708597 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 71 | 8.91561339804061 | 8.72177900057892 | 9.10944779550231 |
| 72 | 8.87386378627774 | 8.63746855319062 | 9.11025901936486 |
| 73 | 8.88728596069061 | 8.6149008678289 | 9.15967105355233 |
| 74 | 8.81567233006955 | 8.51152668831176 | 9.11981797182734 |
| 75 | 8.87406336926465 | 8.54117374192966 | 9.20695299659964 |
| 76 | 8.85256281407408 | 8.49322114299459 | 9.21190448515357 |
| 77 | 8.95894663540773 | 8.57497089507877 | 9.3429223757367 |
| 78 | 8.98000910388392 | 8.57288712984156 | 9.38713107792628 |
| 79 | 8.97996829081975 | 8.55094703920729 | 9.40898954243221 |
| 80 | 8.99721698521157 | 8.54736126731739 | 9.44707270310576 |
| 81 | 9.1109183819778 | 8.64115131256034 | 9.58068545139526 |
| 82 | 9.12448978397928 | 8.63562167078715 | 9.61335789717142 |
