| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.812685219892519 |
| beta | 0.060457480341854 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 1.15 | 1.16 | -0.01 |
| 4 | 1.14 | 1.16138181879402 | -0.0213818187940171 |
| 5 | 1.14 | 1.15246325089893 | -0.0124632508989266 |
| 6 | 1.14 | 1.15018031564590 | -0.0101803156458962 |
| 7 | 1.15 | 1.14925249969319 | 0.000747500306808258 |
| 8 | 1.14 | 1.15724228510931 | -0.0172422851093077 |
| 9 | 1.14 | 1.14976487432649 | -0.0097648743264922 |
| 10 | 1.15 | 1.14788446816925 | 0.00211553183075197 |
| 11 | 1.15 | 1.15576303471770 | -0.00576303471769624 |
| 12 | 1.14 | 1.15695565206573 | -0.0169556520657328 |
| 13 | 1.15 | 1.14821911435376 | 0.00178088564623979 |
| 14 | 1.17 | 1.15479698398989 | 0.0152030160101084 |
| 15 | 1.17 | 1.17302978886826 | -0.00302978886826222 |
| 16 | 1.17 | 1.17629620038917 | -0.00629620038917333 |
| 17 | 1.17 | 1.17659869695641 | -0.00659869695640825 |
| 18 | 1.17 | 1.17633114591204 | -0.00633114591203654 |
| 19 | 1.17 | 1.17596996208354 | -0.00596996208354295 |
| 20 | 1.17 | 1.17560898545986 | -0.00560898545986221 |
| 21 | 1.17 | 1.17526578347731 | -0.00526578347731399 |
| 22 | 1.17 | 1.17494277345669 | -0.00494277345669181 |
| 23 | 1.17 | 1.17463941610825 | -0.0046394161082477 |
| 24 | 1.17 | 1.17435464482225 | -0.00435464482225068 |
| 25 | 1.17 | 1.17408734661977 | -0.00408734661977261 |
| 26 | 1.18 | 1.17383645452013 | 0.00616354547986719 |
| 27 | 1.19 | 1.18221914378864 | 0.00778085621135882 |
| 28 | 1.19 | 1.19229849362024 | -0.00229849362024481 |
| 29 | 1.19 | 1.19407357315876 | -0.00407357315876156 |
| 30 | 1.19 | 1.19420592532667 | -0.00420592532666531 |
| 31 | 1.18 | 1.19402406753244 | -0.0140240675324419 |
| 32 | 1.19 | 1.18517410756322 | 0.00482589243678144 |
| 33 | 1.19 | 1.19188034155046 | -0.00188034155046157 |
| 34 | 1.2 | 1.19304413166044 | 0.0069558683395603 |
| 35 | 1.21 | 1.20173074093636 | 0.0082692590636435 |
| 36 | 1.21 | 1.21189101612616 | -0.00189101612616405 |
| 37 | 1.2 | 1.21370127473161 | -0.0137012747316145 |
| 38 | 1.21 | 1.20524032735438 | 0.00475967264562382 |
| 39 | 1.21 | 1.21201617557932 | -0.00201617557932243 |
| 40 | 1.21 | 1.21318633154508 | -0.00318633154507553 |
| 41 | 1.21 | 1.21324896534107 | -0.00324896534107211 |
| 42 | 1.21 | 1.21310106648530 | -0.00310106648529729 |
| 43 | 1.21 | 1.21292099845195 | -0.0029209984519456 |
| 44 | 1.2 | 1.21274375192097 | -0.0127437519209728 |
| 45 | 1.21 | 1.20395756132932 | 0.00604243867067855 |
| 46 | 1.22 | 1.21073551270882 | 0.00926448729118379 |
| 47 | 1.22 | 1.22058716651414 | -0.000587166514138149 |
| 48 | 1.23 | 1.22240367768634 | 0.0075963223136597 |
| 49 | 1.22 | 1.23124401862602 | -0.0112440186260154 |
| 50 | 1.23 | 1.22422064169559 | 0.00577935830440524 |
| 51 | 1.23 | 1.2313158682269 | -0.00131586822689966 |
| 52 | 1.23 | 1.23258025660149 | -0.00258025660148942 |
| 53 | 1.23 | 1.23269031974045 | -0.00269031974044998 |
| 54 | 1.23 | 1.23257875298045 | -0.00257875298044796 |
| 55 | 1.22 | 1.23243115326320 | -0.0124311532631978 |
| 56 | 1.22 | 1.22366587483675 | -0.00366587483675307 |
| 57 | 1.23 | 1.22184389357137 | 0.0081561064286313 |
| 58 | 1.24 | 1.23003019491751 | 0.00996980508248768 |
| 59 | 1.24 | 1.24018030779616 | -0.000180307796157742 |
| 60 | 1.25 | 1.24207271491304 | 0.00792728508695784 |
| 61 | 1.25 | 1.25094353344598 | -0.000943533445983968 |
| 62 | 1.25 | 1.25255881033374 | -0.00255881033374128 |
| 63 | 1.26 | 1.25273565379473 | 0.00726434620526839 |
| 64 | 1.26 | 1.26125254978846 | -0.00125254978846168 |
| 65 | 1.26 | 1.26278634888434 | -0.00278634888433982 |
| 66 | 1.26 | 1.26293675072165 | -0.00293675072164734 |
| 67 | 1.27 | 1.26282063212713 | 0.00717936787287399 |
| 68 | 1.27 | 1.27127847676588 | -0.00127847676588044 |
| 69 | 1.29 | 1.27279994080258 | 0.0172000591974206 |
| 70 | 1.31 | 1.29018372670259 | 0.0198162732974145 |
| 71 | 1.32 | 1.31066730212201 | 0.00933269787798885 |
| 72 | 1.32 | 1.32308957326460 | -0.00308957326459747 |
| 73 | 1.33 | 1.32526464855567 | 0.00473535144432624 |
| 74 | 1.33 | 1.33403158605679 | -0.004031586056785 |
| 75 | 1.32 | 1.33547567950961 | -0.0154756795096069 |
| 76 | 1.32 | 1.32685896233355 | -0.00685896233355199 |
| 77 | 1.31 | 1.32490792313519 | -0.0149079231351921 |
| 78 | 1.3 | 1.31568314295071 | -0.0156831429507140 |
| 79 | 1.31 | 1.30505779477464 | 0.00494220522535782 |
| 80 | 1.29 | 1.31143718709501 | -0.0214371870950059 |
| 81 | 1.3 | 1.29532516598191 | 0.00467483401808622 |
| 82 | 1.3 | 1.30066368664458 | -0.000663686644579942 |
| 83 | 1.32 | 1.30163106161860 | 0.0183689383814016 |
| 84 | 1.31 | 1.31896848887255 | -0.0089684888725523 |
| 85 | 1.35 | 1.31364854517407 | 0.0363514548259252 |
| 86 | 1.35 | 1.34694550230618 | 0.00305449769381649 |
| 87 | 1.36 | 1.35333259084153 | 0.00666740915847086 |
| 88 | 1.37 | 1.36298342827713 | 0.00701657172287273 |
| 89 | 1.37 | 1.37326276948991 | -0.00326276948990945 |
| 90 | 1.37 | 1.37502793269946 | -0.00502793269945823 |
| 91 | 1.32 | 1.37511153693983 | -0.0551115369398307 |
| 92 | 1.32 | 1.3317851465829 | -0.0117851465828993 |
| 93 | 1.31 | 1.32309043486348 | -0.0130904348634793 |
| 94 | 1.31 | 1.31269176361439 | -0.00269176361439039 |
| 95 | 1.34 | 1.31061168464157 | 0.0293883153584322 |
| 96 | 1.31 | 1.33604654488336 | -0.0260465448833587 |
| 97 | 1.26 | 1.31515057123636 | -0.0551505712363562 |
| 98 | 1.27 | 1.26789247799249 | 0.00210752200751174 |
| 99 | 1.24 | 1.26727073951667 | -0.0272707395166698 |
| 100 | 1.25 | 1.24143383157717 | 0.00856616842283353 |
| 101 | 1.27 | 1.24514192974929 | 0.0248580702507060 |
| 102 | 1.25 | 1.26331156483824 | -0.0133115648382387 |
| 103 | 1.26 | 1.24980726584827 | 0.0101927341517285 |
| 104 | 1.27 | 1.25590536184638 | 0.0140946381536176 |
| 105 | 1.26 | 1.26586698801315 | -0.00586698801315366 |
| 106 | 1.26 | 1.25931783348968 | 0.000682166510322268 |
| 107 | 1.28 | 1.25812459686964 | 0.0218754031303605 |
| 108 | 1.27 | 1.27522959242229 | -0.00522959242229382 |
| 109 | 1.28 | 1.27004981365884 | 0.00995018634116263 |
| 110 | 1.27 | 1.27769529825518 | -0.00769529825518456 |
| 111 | 1.26 | 1.27062246599717 | -0.0106224659971661 |
| 112 | 1.27 | 1.26064885521200 | 0.00935114478799615 |
| 113 | 1.27 | 1.26736695156818 | 0.00263304843181733 |
| 114 | 1.28 | 1.26875471961704 | 0.0112452803829648 |
| 115 | 1.27 | 1.27769403452734 | -0.00769403452733597 |
| 116 | 1.26 | 1.27086361790069 | -0.0108636179006871 |
| 117 | 1.3 | 1.26092356665368 | 0.0390764333463214 |
| 118 | 1.31 | 1.29348899545533 | 0.0165110045446704 |
| 119 | 1.28 | 1.30852706733619 | -0.0285270673361875 |
| 120 | 1.29 | 1.28556174630016 | 0.00443825369984041 |
| 121 | 1.31 | 1.28960491871746 | 0.0203950812825353 |
| 122 | 1.29 | 1.30761803857114 | -0.0176180385711400 |
| 123 | 1.29 | 1.29387283241798 | -0.00387283241798464 |
| 124 | 1.32 | 1.29110786865923 | 0.0288921313407686 |
| 125 | 1.3 | 1.31639006089787 | -0.0163900608978749 |
| 126 | 1.29 | 1.30406679354518 | -0.0140667935451844 |
| 127 | 1.31 | 1.29294046886138 | 0.0170595311386199 |
| 128 | 1.29 | 1.3079482324472 | -0.0179482324471998 |
| 129 | 1.33 | 1.29362385526266 | 0.0363761447373399 |
| 130 | 1.35 | 1.3252353620033 | 0.0247646379966995 |
| 131 | 1.32 | 1.34862712733485 | -0.0286271273348464 |
| 132 | 1.33 | 1.32722166031264 | 0.0027783396873593 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 133 | 1.33147546005119 | 1.30325428527781 | 1.35969663482457 |
| 134 | 1.33347134418998 | 1.29621586095356 | 1.3707268274264 |
| 135 | 1.33546722832877 | 1.29020269643896 | 1.38073176021859 |
| 136 | 1.33746311246756 | 1.28470896185157 | 1.39021726308356 |
| 137 | 1.33945899660635 | 1.27950748315788 | 1.39941051005483 |
| 138 | 1.34145488074514 | 1.27447522880968 | 1.40843453268061 |
| 139 | 1.34345076488393 | 1.26953787638222 | 1.41736365338565 |
| 140 | 1.34544664902273 | 1.26464718641235 | 1.42624611163311 |
| 141 | 1.34744253316152 | 1.25977022715031 | 1.43511483917272 |
| 142 | 1.34943841730031 | 1.25488366813451 | 1.44399316646611 |
| 143 | 1.3514343014391 | 1.24997051254310 | 1.45289809033510 |
| 144 | 1.35343018557789 | 1.24501811015802 | 1.46184226099776 |
