| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.380859354911948 |
| beta | 0.0316088853012761 |
| gamma | 0.733581043314601 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 80 | 65.9535256410256 | 14.0464743589744 |
| 14 | 42 | 32.4467148172593 | 9.55328518274065 |
| 15 | 54 | 47.1353051316087 | 6.86469486839134 |
| 16 | 66 | 60.5908949080092 | 5.4091050919908 |
| 17 | 81 | 79.723894094024 | 1.27610590597605 |
| 18 | 63 | 69.4231643277678 | -6.42316432776776 |
| 19 | 137 | 111.487769948458 | 25.5122300515416 |
| 20 | 72 | 80.1890659314046 | -8.1890659314046 |
| 21 | 107 | 86.4563236715521 | 20.5436763284479 |
| 22 | 58 | 68.1223642893233 | -10.1223642893233 |
| 23 | 36 | 97.1537646423693 | -61.1537646423693 |
| 24 | 52 | 157.471510088703 | -105.471510088703 |
| 25 | 79 | 65.8538039157969 | 13.1461960842031 |
| 26 | 77 | 28.6504949782515 | 48.3495050217485 |
| 27 | 54 | 56.0480501431288 | -2.0480501431288 |
| 28 | 84 | 64.4949190767424 | 19.5050809232576 |
| 29 | 48 | 86.335926809279 | -38.335926809279 |
| 30 | 96 | 56.1913729959164 | 39.8086270040836 |
| 31 | 83 | 129.664803267207 | -46.6648032672074 |
| 32 | 66 | 53.9973913310642 | 12.0026086689358 |
| 33 | 61 | 79.6754118037333 | -18.6754118037333 |
| 34 | 53 | 30.6746061226909 | 22.3253938773091 |
| 35 | 30 | 47.4750331631132 | -17.4750331631132 |
| 36 | 74 | 103.414328539607 | -29.4143285396072 |
| 37 | 69 | 94.6690520639605 | -25.6690520639605 |
| 38 | 59 | 58.2346826816536 | 0.765317318346362 |
| 39 | 42 | 43.6095578051345 | -1.60955780513446 |
| 40 | 65 | 61.0081831412298 | 3.99181685877025 |
| 41 | 70 | 49.4788033499446 | 20.5211966500554 |
| 42 | 100 | 76.7603341377986 | 23.2396658622014 |
| 43 | 63 | 103.96583707419 | -40.9658370741898 |
| 44 | 105 | 56.5015494288369 | 48.4984505711631 |
| 45 | 82 | 81.9715413639347 | 0.0284586360653378 |
| 46 | 81 | 58.7674302672487 | 22.2325697327513 |
| 47 | 75 | 57.5054384585619 | 17.4945615414381 |
| 48 | 102 | 121.811391006708 | -19.8113910067084 |
| 49 | 121 | 119.011021546426 | 1.98897845357396 |
| 50 | 98 | 106.036128029629 | -8.03612802962945 |
| 51 | 76 | 87.7937238475062 | -11.7937238475062 |
| 52 | 77 | 104.548576897228 | -27.5485768972279 |
| 53 | 63 | 88.8253943324135 | -25.8253943324135 |
| 54 | 37 | 99.4433230769987 | -62.4433230769987 |
| 55 | 35 | 63.5759025308874 | -28.5759025308874 |
| 56 | 23 | 60.3350961492407 | -37.3350961492407 |
| 57 | 40 | 28.9375786540599 | 11.0624213459401 |
| 58 | 29 | 17.9911476535457 | 11.0088523464543 |
| 59 | 37 | 8.13783623184506 | 28.8621637681549 |
| 60 | 51 | 57.8014044627004 | -6.80140446270038 |
| 61 | 20 | 67.9862803143687 | -47.9862803143687 |
| 62 | 28 | 28.9516752372211 | -0.951675237221107 |
| 63 | 13 | 9.31321056571075 | 3.68678943428925 |
| 64 | 22 | 22.6070517338621 | -0.607051733862111 |
| 65 | 25 | 16.0505737046141 | 8.9494262953859 |
| 66 | 13 | 21.8230856739758 | -8.82308567397584 |
| 67 | 16 | 20.946940527163 | -4.94694052716303 |
| 68 | 13 | 22.1988348561934 | -9.1988348561934 |
| 69 | 16 | 23.3093821664525 | -7.30938216645249 |
| 70 | 17 | 4.9308234847124 | 12.0691765152876 |
| 71 | 9 | 3.19217990983005 | 5.80782009016995 |
| 72 | 17 | 27.2017554894769 | -10.2017554894769 |
| 73 | 25 | 16.6693885648103 | 8.33061143518972 |
| 74 | 14 | 20.4077763690547 | -6.40777636905471 |
| 75 | 8 | 0.693902625599055 | 7.30609737440095 |
| 76 | 7 | 13.3553977851456 | -6.35539778514564 |
| 77 | 10 | 8.82028766465224 | 1.17971233534776 |
| 78 | 7 | 3.33822505002995 | 3.66177494997005 |
| 79 | 10 | 8.90454913922631 | 1.09545086077369 |
| 80 | 3 | 10.5263066432433 | -7.52630664324327 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 81 | 13.1518860780303 | -37.4465989189033 | 63.7503710749639 |
| 82 | 6.46657662735477 | -47.8972220237366 | 60.8303752784461 |
| 83 | -2.75000728511713 | -60.8467257368979 | 55.3467111666637 |
| 84 | 11.6688643515536 | -50.1402534266428 | 73.47798212975 |
| 85 | 13.4546037022295 | -52.0555460762864 | 78.9647534807455 |
| 86 | 7.24134529397909 | -61.9656545585373 | 76.4483451464955 |
| 87 | -3.81105338955775 | -76.7164471374386 | 69.0943403583232 |
| 88 | -0.232709452866828 | -76.842660726265 | 76.3772418205314 |
| 89 | 1.05592991449233 | -79.2685090912652 | 81.38036892025 |
| 90 | -3.78144524583688 | -87.8334001501222 | 80.2705096584484 |
| 91 | -0.852758842779123 | -88.6478246625976 | 86.9423069770393 |
| 92 | -3.65473445255552 | -95.2106461244907 | 87.9011772193796 |
