| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.795617759934405 |
| beta | 0.115622092346912 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 5.9 | 5.91141206844105 | -0.0114120684410484 |
| 14 | 6.1 | 6.09959501506799 | 0.000404984932013797 |
| 15 | 6 | 6.00157408438233 | -0.00157408438233375 |
| 16 | 5.8 | 5.81031371087173 | -0.0103137108717304 |
| 17 | 5.8 | 5.82842033663677 | -0.028420336636767 |
| 18 | 5.7 | 5.74202426512985 | -0.0420242651298519 |
| 19 | 5.5 | 5.45947408374793 | 0.0405259162520668 |
| 20 | 5.3 | 5.27415719418642 | 0.0258428058135802 |
| 21 | 5.2 | 5.28338773530909 | -0.0833877353090866 |
| 22 | 5.2 | 5.29816326227001 | -0.0981632622700124 |
| 23 | 5 | 5.28991767617873 | -0.289917676178727 |
| 24 | 5.1 | 5.09300016320327 | 0.00699983679672567 |
| 25 | 5.1 | 5.22129803504218 | -0.121298035042178 |
| 26 | 5.2 | 5.23686392003097 | -0.0368639200309691 |
| 27 | 4.9 | 5.05919557120876 | -0.159195571208759 |
| 28 | 4.8 | 4.69830756726449 | 0.101692432735510 |
| 29 | 4.5 | 4.73103257316789 | -0.231032573167893 |
| 30 | 4.5 | 4.40926848263627 | 0.0907315173637349 |
| 31 | 4.4 | 4.22730752354078 | 0.172692476459217 |
| 32 | 4.4 | 4.13339342179269 | 0.266606578207315 |
| 33 | 4.2 | 4.28455429904767 | -0.0845542990476673 |
| 34 | 4.1 | 4.24486578898424 | -0.14486578898424 |
| 35 | 3.9 | 4.10933651747807 | -0.209336517478072 |
| 36 | 3.8 | 3.97489505508343 | -0.174895055083426 |
| 37 | 3.9 | 3.84515059473186 | 0.0548494052681359 |
| 38 | 4.2 | 3.93673989363645 | 0.263260106363548 |
| 39 | 4.1 | 3.98650169833447 | 0.113498301665525 |
| 40 | 3.8 | 3.93018633909184 | -0.130186339091839 |
| 41 | 3.6 | 3.71434602817831 | -0.114346028178310 |
| 42 | 3.7 | 3.55385174913284 | 0.146148250867164 |
| 43 | 3.5 | 3.47219720812245 | 0.0278027918775474 |
| 44 | 3.4 | 3.30884476441603 | 0.0911552355839738 |
| 45 | 3.1 | 3.25237280793271 | -0.152372807932715 |
| 46 | 3.1 | 3.10534363273615 | -0.00534363273615002 |
| 47 | 3.1 | 3.04774695106348 | 0.0522530489365201 |
| 48 | 3.2 | 3.11468517381809 | 0.0853148261819148 |
| 49 | 3.3 | 3.25102718156222 | 0.0489728184377793 |
| 50 | 3.5 | 3.38743863026519 | 0.112561369734810 |
| 51 | 3.6 | 3.33044526200662 | 0.269554737993377 |
| 52 | 3.5 | 3.4035720801344 | 0.0964279198655986 |
| 53 | 3.3 | 3.43178898730854 | -0.131788987308539 |
| 54 | 3.2 | 3.36210769613620 | -0.162107696136195 |
| 55 | 3.1 | 3.05799001604015 | 0.0420099839598529 |
| 56 | 3.2 | 2.95932910718225 | 0.240670892817750 |
| 57 | 3 | 3.02065973935298 | -0.0206597393529750 |
| 58 | 3 | 3.06029592031758 | -0.060295920317579 |
| 59 | 3.1 | 3.01938236342738 | 0.0806176365726174 |
| 60 | 3.4 | 3.1688183551414 | 0.231181644858601 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 3.49002179107176 | 3.22406804667539 | 3.75597553546813 |
| 62 | 3.67924954757116 | 3.31512459120152 | 4.04337450394081 |
| 63 | 3.61599089835826 | 3.17194885142785 | 4.06003294528867 |
| 64 | 3.46938596262686 | 2.95739418129983 | 3.9813777439539 |
| 65 | 3.39585861786705 | 2.81026355476833 | 3.98145368096577 |
| 66 | 3.45969461501472 | 2.77920701553256 | 4.14018221449687 |
| 67 | 3.36690773552337 | 2.61838644778714 | 4.11542902325959 |
| 68 | 3.31106711822 | 2.48810996930822 | 4.13402426713179 |
| 69 | 3.14138399121592 | 2.27297395993347 | 4.00979402249837 |
| 70 | 3.21440228855856 | 2.23757635421557 | 4.19122822290154 |
| 71 | 3.28245842628467 | 2.19353601591677 | 4.37138083665256 |
| 72 | 3.42532446035466 | -123.777322913226 | 130.627971833935 |
