| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0 |
| beta | 0 |
| gamma | 0.808068340483991 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 1180 | 1177.9432229574 | 2.05677704259938 |
| 14 | 1210 | 1207.3835997229 | 2.61640027710132 |
| 15 | 950 | 946.865180943665 | 3.13481905633546 |
| 16 | 1070 | 1064.87327780389 | 5.12672219610704 |
| 17 | 1120 | 1114.17015714205 | 5.82984285794873 |
| 18 | 1220 | 1213.58137986493 | 6.41862013506534 |
| 19 | 1170 | 1169.23297715604 | 0.76702284395833 |
| 20 | 1120 | 1089.61318210414 | 30.3868178958644 |
| 21 | 1180 | 1167.08402536397 | 12.9159746360315 |
| 22 | 1250 | 1223.06992178031 | 26.9300782196899 |
| 23 | 1240 | 1262.03983885714 | -22.0398388571373 |
| 24 | 1230 | 1209.28274682256 | 20.7172531774384 |
| 25 | 1120 | 1189.00614812419 | -69.0061481241944 |
| 26 | 1330 | 1219.13057146909 | 110.869428530908 |
| 27 | 990 | 956.954558406525 | 33.0454415934752 |
| 28 | 1110 | 1077.51864297528 | 32.4813570247156 |
| 29 | 1090 | 1127.77440848547 | -37.7744084854667 |
| 30 | 1210 | 1228.44893525817 | -18.4489352581718 |
| 31 | 1220 | 1179.13896693107 | 40.8610330689262 |
| 32 | 1220 | 1123.00612185752 | 96.9938781424785 |
| 33 | 1100 | 1186.85571849515 | -86.8557184951489 |
| 34 | 1200 | 1254.69305004281 | -54.6930500428118 |
| 35 | 1320 | 1254.08066215211 | 65.9193378478897 |
| 36 | 1180 | 1235.72368335276 | -55.7236833527556 |
| 37 | 1110 | 1142.20449204607 | -32.2044920460696 |
| 38 | 1300 | 1319.06126801614 | -19.0612680161412 |
| 39 | 1060 | 991.424612921085 | 68.5753870789146 |
| 40 | 1130 | 1112.47553696779 | 17.5244630322125 |
| 41 | 1160 | 1105.90273797412 | 54.0972620258758 |
| 42 | 1260 | 1223.10432296609 | 36.8956770339075 |
| 43 | 1210 | 1221.70369073598 | -11.7036907359811 |
| 44 | 1190 | 1210.83896847887 | -20.8389684788651 |
| 45 | 1130 | 1125.45305241178 | 4.54694758822438 |
| 46 | 1170 | 1220.01173774724 | -50.0117377472418 |
| 47 | 1370 | 1317.61691419859 | 52.3830858014121 |
| 48 | 1170 | 1200.04166150887 | -30.0416615088684 |
| 49 | 1040 | 1124.93694822211 | -84.9369482221055 |
| 50 | 1340 | 1313.87833378052 | 26.1216662194845 |
| 51 | 1050 | 1055.03941613131 | -5.03941613130974 |
| 52 | 1130 | 1135.4571067608 | -5.45710676080171 |
| 53 | 1150 | 1158.61167833242 | -8.61167833241893 |
| 54 | 1220 | 1262.7150555642 | -42.7150555642017 |
| 55 | 1210 | 1221.71862678787 | -11.7186267878685 |
| 56 | 1150 | 1203.32332795204 | -53.3233279520377 |
| 57 | 1130 | 1137.93865970182 | -7.93865970182469 |
| 58 | 1150 | 1188.79808077982 | -38.7980807798174 |
| 59 | 1440 | 1370.54484386062 | 69.4551561393816 |
| 60 | 1160 | 1184.9233970663 | -24.9233970662958 |
| 61 | 1130 | 1064.52376029074 | 65.4762397092602 |
| 62 | 1350 | 1345.37048543763 | 4.62951456236601 |
| 63 | 1050 | 1059.13677284636 | -9.13677284636015 |
| 64 | 1150 | 1139.8337414645 | 10.1662585354982 |
| 65 | 1120 | 1160.59348584528 | -40.5934858452836 |
| 66 | 1170 | 1237.72708529264 | -67.7270852926424 |
| 67 | 1100 | 1221.64807424831 | -121.648074248307 |
| 68 | 1120 | 1169.22424073549 | -49.2242407354879 |
| 69 | 1210 | 1140.2853701293 | 69.7146298706973 |
| 70 | 1170 | 1166.40321849417 | 3.59678150582954 |
| 71 | 1370 | 1437.70220002702 | -67.7022000270213 |
| 72 | 1170 | 1173.78539346934 | -3.78539346933758 |
| 73 | 1110 | 1126.06334344716 | -16.0633434471608 |
| 74 | 1320 | 1359.52438389773 | -39.5243838977283 |
| 75 | 1060 | 1059.86623620614 | 0.13376379385636 |
| 76 | 1150 | 1156.898448186 | -6.89844818599977 |
| 77 | 1160 | 1136.47911462872 | 23.5208853712825 |
| 78 | 1230 | 1192.10635810924 | 37.8936418907574 |
| 79 | 1140 | 1131.99073279256 | 8.00926720743837 |
| 80 | 1100 | 1138.13166644898 | -38.1316664489837 |
| 81 | 1270 | 1205.81410429181 | 64.1858957081911 |
| 82 | 1160 | 1178.28862038569 | -18.2886203856863 |
| 83 | 1380 | 1393.60721295378 | -13.6072129537843 |
| 84 | 1150 | 1179.70488287319 | -29.7048828731927 |
| 85 | 1180 | 1121.61388828464 | 58.3861117153556 |
| 86 | 1370 | 1337.75429075417 | 32.2457092458262 |
| 87 | 1080 | 1068.08775408641 | 11.9122459135929 |
| 88 | 1160 | 1160.1310642535 | -0.131064253496334 |
| 89 | 1230 | 1164.31883410951 | 65.6811658904903 |
| 90 | 1210 | 1232.06833057662 | -22.0683305766199 |
| 91 | 1130 | 1147.15479730607 | -17.1547973060735 |
| 92 | 1110 | 1115.76754626956 | -5.76754626955926 |
| 93 | 1250 | 1267.27073547116 | -17.2707354711602 |
| 94 | 1210 | 1172.37650507827 | 37.6234949217317 |
| 95 | 1370 | 1393.14093562867 | -23.140935628669 |
| 96 | 1080 | 1164.49697016729 | -84.4969701672921 |
| 97 | 1220 | 1177.68352444706 | 42.3164755529367 |
| 98 | 1360 | 1374.17739570478 | -14.177395704781 |
| 99 | 1120 | 1085.90021096971 | 34.099789030287 |
| 100 | 1150 | 1168.83138502678 | -18.8313850267837 |
| 101 | 1180 | 1226.62960002026 | -46.629600020259 |
| 102 | 1250 | 1223.44172699487 | 26.5582730051306 |
| 103 | 1040 | 1141.87954325937 | -101.879543259369 |
| 104 | 1180 | 1119.52055595584 | 60.479444044156 |
| 105 | 1250 | 1262.79923067139 | -12.7992306713888 |
| 106 | 1120 | 1211.87512409925 | -91.8751240992542 |
| 107 | 1430 | 1384.82942939763 | 45.1705706023652 |
| 108 | 1150 | 1104.49757992859 | 45.5024200714122 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 109 | 1221.02591213708 | 1150.13438048439 | 1291.91744378976 |
| 110 | 1373.00103646796 | 1302.10950481527 | 1443.89256812064 |
| 111 | 1121.84945448171 | 1050.95792282903 | 1192.7409861344 |
| 112 | 1162.30592009463 | 1091.41438844194 | 1233.19745174732 |
| 113 | 1197.90188125002 | 1127.01034959733 | 1268.7934129027 |
| 114 | 1254.27023057256 | 1183.37869891987 | 1325.16176222525 |
| 115 | 1067.52181123563 | 996.630279582938 | 1138.41334288831 |
| 116 | 1177.1729474438 | 1106.28141579111 | 1248.06447909649 |
| 117 | 1261.86332739607 | 1190.97179574338 | 1332.75485904876 |
| 118 | 1146.17275749692 | 1075.28122584423 | 1217.06428914961 |
| 119 | 1431.99209106483 | 1361.10055941214 | 1502.88362271752 |
| 120 | 1149.8222228544 | 1063.09520030125 | 1236.54924540756 |
