Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 17 Dec 2016 15:23:03 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/17/t1481984650lvp86om05uxma2s.htm/, Retrieved Thu, 02 May 2024 11:27:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300807, Retrieved Thu, 02 May 2024 11:27:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact97
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [Exponential Smoot...] [2016-12-17 14:23:03] [549e222e79c75c10edc4b0c7b20158c3] [Current]
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Dataseries X:
38.93
34.83
42.62
55.26
62.28
70.75
76.41
73.40
63.30
52.59
44.08
36.57
31.35
32.41
47.66
50.54
62.33
69.87
74.70
74.64
66.43
56.68
44.01
33.22
30.27
34.70
41.86
50.40
59.36
69.60
74.08
72.28
65.21
53.98
43.92
31.87
31.05
36.77
42.87
50.92
61.65
68.54
72.63
71.89
66.38
50.50
45.84
29.64
30.67
31.80
43.57
53.24
59.88
70.48
74.71
74.05
66.49
56.14
42.31
32.47
29.71
33.04
43.07
51.96
59.13
69.82
76.14
75.00
66.09
55.09
43.75
35.40
36.12
37.51
50.41
54.68
63.45
70.54
76.77
73.80
66.31
53.89
44.01
35.92
32.25
34.77
40.91
49.68
60.85
70.39
74.21
72.99
66.96
53.44
41.61
31.06
30.56
32.13
40.51
51.69
61.27
69.58
73.29
72.25
66.20
56.93
39.25
36.81
33.08
32.97
45.39
53.24
60.84
71.37
73.92
72.95
68.54
57.25
44.60
38.66
32.22
39.49
47.50
53.22
60.31
71.78
75.22
73.54
67.14
57.72
48.02




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300807&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300807&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300807&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.217251055903624
beta0
gamma0.434389163619429

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.217251055903624 \tabularnewline
beta & 0 \tabularnewline
gamma & 0.434389163619429 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300807&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]0.217251055903624[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]0.434389163619429[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300807&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300807&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.217251055903624
beta0
gamma0.434389163619429







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1331.3531.8267788461539-0.476778846153866
1432.4132.8086701663665-0.398670166366458
1547.6647.7958640130714-0.135864013071441
1650.5450.35140277407770.188597225922273
1762.3362.02076441518850.309235584811475
1869.8769.77633486715050.0936651328495088
1974.776.1996557441354-1.49965574413541
2074.6473.28640931153541.35359068846456
2166.4363.37720034583773.0527996541623
2256.6853.32297965547213.35702034452795
2344.0145.7427678979827-1.73276789798272
2433.2237.8967942704821-4.67679427048211
2530.2731.6124479110797-1.34244791107973
2634.732.43283004333472.26716995666533
2741.8648.0885392046922-6.22853920469215
2850.449.43076039800860.969239601991418
2959.3661.3107365919967-1.95073659199673
3069.668.50202794177631.0979720582237
3174.0874.6017783238828-0.521778323882813
3272.2872.8711309663678-0.591130966367786
3365.2163.11719022264232.09280977735764
3453.9852.95785112488721.02214887511278
3543.9243.13976819148050.780231808519545
3631.8734.8387254480498-2.9687254480498
3731.0530.05919548779630.990804512203727
3836.7732.6138129905164.15618700948403
3942.8745.7912219593542-2.92122195935416
4050.9250.29933321735670.620666782643333
4161.6561.11073812802850.539261871971483
4268.5469.8795990519819-1.33959905198192
4372.6374.8990408032249-2.26904080322493
4471.8972.7652177039784-0.875217703978436
4566.3863.86214606551772.51785393448226
4650.553.4311046459788-2.93110464597884
4745.8442.67191713616873.16808286383127
4829.6433.614925885213-3.97492588521295
4930.6729.96310792595480.706892074045193
5031.833.5323310987401-1.73233109874007
5143.5743.02400926042730.545990739572723
5253.2449.48968085733793.75031914266211
5359.8860.9533269406651-1.07332694066513
5470.4868.73300534910381.74699465089621
5574.7174.10698623286860.603013767131401
5674.0573.07104448911990.978955510880141
5766.4965.72449821525310.765501784746874
5856.1453.06001429953553.07998570046455
5942.3145.6805739744249-3.3705739744249
6032.4732.7743035070284-0.304303507028408
6129.7131.5118329183278-1.80183291832778
6233.0433.7066539841933-0.666653984193289
6343.0744.2045212825216-1.13452128252158
6451.9651.39462811093980.56537188906016
6559.1360.5262161906036-1.39621619060364
6669.8269.19470571416620.625294285833832
6776.1473.93602230700362.20397769299639
687573.37571849829891.62428150170112
6966.0966.0967919410434-0.00679194104336034
7055.0954.05149180109271.03850819890729
7143.7544.035234132302-0.285234132301952
7235.432.84184311007322.55815688992682
7336.1231.69205862015514.42794137984492
7437.5135.62628561424071.88371438575932
7550.4146.5191399903143.89086000968604
7654.6855.379009907789-0.699009907788962
7763.4563.5689351199581-0.118935119958095
7870.5473.2022645649496-2.66226456494958
7976.7777.7661357627514-0.996135762751422
8073.876.3134969847917-2.51349698479167
8166.3167.5810399083466-1.27103990834657
8253.8955.6165010692705-1.72650106927049
8344.0144.5494464486093-0.539446448609255
8435.9234.26763069166541.65236930833459
8532.2533.556822638599-1.30682263859896
8634.7735.3800839874443-0.610083987444249
8740.9146.4136229903491-5.50362299034907
8849.6851.6718947312549-1.99189473125487
8960.8559.77817502185451.07182497814554
9070.3968.80542143115351.58457856884645
9174.2174.8584369991954-0.648436999195454
9272.9972.96540653395150.0245934660485005
9366.9665.20680963465761.75319036534243
9453.4453.744423178065-0.304423178065022
9541.6143.3899360142458-1.77993601424581
9631.0633.5838786522942-2.52387865229416
9730.5630.9595988012938-0.399598801293841
9832.1333.2168589319396-1.08685893193957
9940.5142.4829283979974-1.97292839799739
10051.6949.7022968893931.98770311060702
10161.2759.71486781709091.55513218290906
10269.5869.02145850258160.558541497418375
10373.2974.0923017071684-0.802301707168354
10472.2572.3946862149799-0.144686214979899
10566.265.18706659755141.01293340244858
10656.9352.86423359366544.0657664063346
10739.2542.957474310952-3.70747431095204
10836.8132.47970358441524.3302964155848
10933.0832.06679316657661.01320683342345
11032.9734.3973062323019-1.42730623230191
11145.3943.28813389718322.10186610281681
11253.2452.73944045078240.500559549217591
11360.8462.281846115236-1.44184611523604
11471.3770.59848166892320.771518331076805
11573.9275.2528835946115-1.33288359461146
11672.9573.6635995074074-0.713599507407352
11768.5466.72599398898561.81400601101444
11857.2555.61521198692321.63478801307681
11944.642.53728096869432.06271903130573
12038.6636.04607482575262.61392517424743
12132.2234.1324119084934-1.91241190849335
12239.4934.99751367363294.49248632636711
12347.546.37440343873951.12559656126051
12453.2255.0691418976527-1.84914189765268
12560.3163.4406202145682-3.13062021456821
12671.7872.1429508098739-0.362950809873922
12775.2275.8353543001173-0.615354300117261
12873.5474.6125217354638-1.07252173546378
12967.1468.4563704956379-1.31637049563791
13057.7256.60457360799311.11542639200689
13148.0243.55931483228684.46068516771319

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 31.35 & 31.8267788461539 & -0.476778846153866 \tabularnewline
14 & 32.41 & 32.8086701663665 & -0.398670166366458 \tabularnewline
15 & 47.66 & 47.7958640130714 & -0.135864013071441 \tabularnewline
16 & 50.54 & 50.3514027740777 & 0.188597225922273 \tabularnewline
17 & 62.33 & 62.0207644151885 & 0.309235584811475 \tabularnewline
18 & 69.87 & 69.7763348671505 & 0.0936651328495088 \tabularnewline
19 & 74.7 & 76.1996557441354 & -1.49965574413541 \tabularnewline
20 & 74.64 & 73.2864093115354 & 1.35359068846456 \tabularnewline
21 & 66.43 & 63.3772003458377 & 3.0527996541623 \tabularnewline
22 & 56.68 & 53.3229796554721 & 3.35702034452795 \tabularnewline
23 & 44.01 & 45.7427678979827 & -1.73276789798272 \tabularnewline
24 & 33.22 & 37.8967942704821 & -4.67679427048211 \tabularnewline
25 & 30.27 & 31.6124479110797 & -1.34244791107973 \tabularnewline
26 & 34.7 & 32.4328300433347 & 2.26716995666533 \tabularnewline
27 & 41.86 & 48.0885392046922 & -6.22853920469215 \tabularnewline
28 & 50.4 & 49.4307603980086 & 0.969239601991418 \tabularnewline
29 & 59.36 & 61.3107365919967 & -1.95073659199673 \tabularnewline
30 & 69.6 & 68.5020279417763 & 1.0979720582237 \tabularnewline
31 & 74.08 & 74.6017783238828 & -0.521778323882813 \tabularnewline
32 & 72.28 & 72.8711309663678 & -0.591130966367786 \tabularnewline
33 & 65.21 & 63.1171902226423 & 2.09280977735764 \tabularnewline
34 & 53.98 & 52.9578511248872 & 1.02214887511278 \tabularnewline
35 & 43.92 & 43.1397681914805 & 0.780231808519545 \tabularnewline
36 & 31.87 & 34.8387254480498 & -2.9687254480498 \tabularnewline
37 & 31.05 & 30.0591954877963 & 0.990804512203727 \tabularnewline
38 & 36.77 & 32.613812990516 & 4.15618700948403 \tabularnewline
39 & 42.87 & 45.7912219593542 & -2.92122195935416 \tabularnewline
40 & 50.92 & 50.2993332173567 & 0.620666782643333 \tabularnewline
41 & 61.65 & 61.1107381280285 & 0.539261871971483 \tabularnewline
42 & 68.54 & 69.8795990519819 & -1.33959905198192 \tabularnewline
43 & 72.63 & 74.8990408032249 & -2.26904080322493 \tabularnewline
44 & 71.89 & 72.7652177039784 & -0.875217703978436 \tabularnewline
45 & 66.38 & 63.8621460655177 & 2.51785393448226 \tabularnewline
46 & 50.5 & 53.4311046459788 & -2.93110464597884 \tabularnewline
47 & 45.84 & 42.6719171361687 & 3.16808286383127 \tabularnewline
48 & 29.64 & 33.614925885213 & -3.97492588521295 \tabularnewline
49 & 30.67 & 29.9631079259548 & 0.706892074045193 \tabularnewline
50 & 31.8 & 33.5323310987401 & -1.73233109874007 \tabularnewline
51 & 43.57 & 43.0240092604273 & 0.545990739572723 \tabularnewline
52 & 53.24 & 49.4896808573379 & 3.75031914266211 \tabularnewline
53 & 59.88 & 60.9533269406651 & -1.07332694066513 \tabularnewline
54 & 70.48 & 68.7330053491038 & 1.74699465089621 \tabularnewline
55 & 74.71 & 74.1069862328686 & 0.603013767131401 \tabularnewline
56 & 74.05 & 73.0710444891199 & 0.978955510880141 \tabularnewline
57 & 66.49 & 65.7244982152531 & 0.765501784746874 \tabularnewline
58 & 56.14 & 53.0600142995355 & 3.07998570046455 \tabularnewline
59 & 42.31 & 45.6805739744249 & -3.3705739744249 \tabularnewline
60 & 32.47 & 32.7743035070284 & -0.304303507028408 \tabularnewline
61 & 29.71 & 31.5118329183278 & -1.80183291832778 \tabularnewline
62 & 33.04 & 33.7066539841933 & -0.666653984193289 \tabularnewline
63 & 43.07 & 44.2045212825216 & -1.13452128252158 \tabularnewline
64 & 51.96 & 51.3946281109398 & 0.56537188906016 \tabularnewline
65 & 59.13 & 60.5262161906036 & -1.39621619060364 \tabularnewline
66 & 69.82 & 69.1947057141662 & 0.625294285833832 \tabularnewline
67 & 76.14 & 73.9360223070036 & 2.20397769299639 \tabularnewline
68 & 75 & 73.3757184982989 & 1.62428150170112 \tabularnewline
69 & 66.09 & 66.0967919410434 & -0.00679194104336034 \tabularnewline
70 & 55.09 & 54.0514918010927 & 1.03850819890729 \tabularnewline
71 & 43.75 & 44.035234132302 & -0.285234132301952 \tabularnewline
72 & 35.4 & 32.8418431100732 & 2.55815688992682 \tabularnewline
73 & 36.12 & 31.6920586201551 & 4.42794137984492 \tabularnewline
74 & 37.51 & 35.6262856142407 & 1.88371438575932 \tabularnewline
75 & 50.41 & 46.519139990314 & 3.89086000968604 \tabularnewline
76 & 54.68 & 55.379009907789 & -0.699009907788962 \tabularnewline
77 & 63.45 & 63.5689351199581 & -0.118935119958095 \tabularnewline
78 & 70.54 & 73.2022645649496 & -2.66226456494958 \tabularnewline
79 & 76.77 & 77.7661357627514 & -0.996135762751422 \tabularnewline
80 & 73.8 & 76.3134969847917 & -2.51349698479167 \tabularnewline
81 & 66.31 & 67.5810399083466 & -1.27103990834657 \tabularnewline
82 & 53.89 & 55.6165010692705 & -1.72650106927049 \tabularnewline
83 & 44.01 & 44.5494464486093 & -0.539446448609255 \tabularnewline
84 & 35.92 & 34.2676306916654 & 1.65236930833459 \tabularnewline
85 & 32.25 & 33.556822638599 & -1.30682263859896 \tabularnewline
86 & 34.77 & 35.3800839874443 & -0.610083987444249 \tabularnewline
87 & 40.91 & 46.4136229903491 & -5.50362299034907 \tabularnewline
88 & 49.68 & 51.6718947312549 & -1.99189473125487 \tabularnewline
89 & 60.85 & 59.7781750218545 & 1.07182497814554 \tabularnewline
90 & 70.39 & 68.8054214311535 & 1.58457856884645 \tabularnewline
91 & 74.21 & 74.8584369991954 & -0.648436999195454 \tabularnewline
92 & 72.99 & 72.9654065339515 & 0.0245934660485005 \tabularnewline
93 & 66.96 & 65.2068096346576 & 1.75319036534243 \tabularnewline
94 & 53.44 & 53.744423178065 & -0.304423178065022 \tabularnewline
95 & 41.61 & 43.3899360142458 & -1.77993601424581 \tabularnewline
96 & 31.06 & 33.5838786522942 & -2.52387865229416 \tabularnewline
97 & 30.56 & 30.9595988012938 & -0.399598801293841 \tabularnewline
98 & 32.13 & 33.2168589319396 & -1.08685893193957 \tabularnewline
99 & 40.51 & 42.4829283979974 & -1.97292839799739 \tabularnewline
100 & 51.69 & 49.702296889393 & 1.98770311060702 \tabularnewline
101 & 61.27 & 59.7148678170909 & 1.55513218290906 \tabularnewline
102 & 69.58 & 69.0214585025816 & 0.558541497418375 \tabularnewline
103 & 73.29 & 74.0923017071684 & -0.802301707168354 \tabularnewline
104 & 72.25 & 72.3946862149799 & -0.144686214979899 \tabularnewline
105 & 66.2 & 65.1870665975514 & 1.01293340244858 \tabularnewline
106 & 56.93 & 52.8642335936654 & 4.0657664063346 \tabularnewline
107 & 39.25 & 42.957474310952 & -3.70747431095204 \tabularnewline
108 & 36.81 & 32.4797035844152 & 4.3302964155848 \tabularnewline
109 & 33.08 & 32.0667931665766 & 1.01320683342345 \tabularnewline
110 & 32.97 & 34.3973062323019 & -1.42730623230191 \tabularnewline
111 & 45.39 & 43.2881338971832 & 2.10186610281681 \tabularnewline
112 & 53.24 & 52.7394404507824 & 0.500559549217591 \tabularnewline
113 & 60.84 & 62.281846115236 & -1.44184611523604 \tabularnewline
114 & 71.37 & 70.5984816689232 & 0.771518331076805 \tabularnewline
115 & 73.92 & 75.2528835946115 & -1.33288359461146 \tabularnewline
116 & 72.95 & 73.6635995074074 & -0.713599507407352 \tabularnewline
117 & 68.54 & 66.7259939889856 & 1.81400601101444 \tabularnewline
118 & 57.25 & 55.6152119869232 & 1.63478801307681 \tabularnewline
119 & 44.6 & 42.5372809686943 & 2.06271903130573 \tabularnewline
120 & 38.66 & 36.0460748257526 & 2.61392517424743 \tabularnewline
121 & 32.22 & 34.1324119084934 & -1.91241190849335 \tabularnewline
122 & 39.49 & 34.9975136736329 & 4.49248632636711 \tabularnewline
123 & 47.5 & 46.3744034387395 & 1.12559656126051 \tabularnewline
124 & 53.22 & 55.0691418976527 & -1.84914189765268 \tabularnewline
125 & 60.31 & 63.4406202145682 & -3.13062021456821 \tabularnewline
126 & 71.78 & 72.1429508098739 & -0.362950809873922 \tabularnewline
127 & 75.22 & 75.8353543001173 & -0.615354300117261 \tabularnewline
128 & 73.54 & 74.6125217354638 & -1.07252173546378 \tabularnewline
129 & 67.14 & 68.4563704956379 & -1.31637049563791 \tabularnewline
130 & 57.72 & 56.6045736079931 & 1.11542639200689 \tabularnewline
131 & 48.02 & 43.5593148322868 & 4.46068516771319 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300807&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]31.35[/C][C]31.8267788461539[/C][C]-0.476778846153866[/C][/ROW]
[ROW][C]14[/C][C]32.41[/C][C]32.8086701663665[/C][C]-0.398670166366458[/C][/ROW]
[ROW][C]15[/C][C]47.66[/C][C]47.7958640130714[/C][C]-0.135864013071441[/C][/ROW]
[ROW][C]16[/C][C]50.54[/C][C]50.3514027740777[/C][C]0.188597225922273[/C][/ROW]
[ROW][C]17[/C][C]62.33[/C][C]62.0207644151885[/C][C]0.309235584811475[/C][/ROW]
[ROW][C]18[/C][C]69.87[/C][C]69.7763348671505[/C][C]0.0936651328495088[/C][/ROW]
[ROW][C]19[/C][C]74.7[/C][C]76.1996557441354[/C][C]-1.49965574413541[/C][/ROW]
[ROW][C]20[/C][C]74.64[/C][C]73.2864093115354[/C][C]1.35359068846456[/C][/ROW]
[ROW][C]21[/C][C]66.43[/C][C]63.3772003458377[/C][C]3.0527996541623[/C][/ROW]
[ROW][C]22[/C][C]56.68[/C][C]53.3229796554721[/C][C]3.35702034452795[/C][/ROW]
[ROW][C]23[/C][C]44.01[/C][C]45.7427678979827[/C][C]-1.73276789798272[/C][/ROW]
[ROW][C]24[/C][C]33.22[/C][C]37.8967942704821[/C][C]-4.67679427048211[/C][/ROW]
[ROW][C]25[/C][C]30.27[/C][C]31.6124479110797[/C][C]-1.34244791107973[/C][/ROW]
[ROW][C]26[/C][C]34.7[/C][C]32.4328300433347[/C][C]2.26716995666533[/C][/ROW]
[ROW][C]27[/C][C]41.86[/C][C]48.0885392046922[/C][C]-6.22853920469215[/C][/ROW]
[ROW][C]28[/C][C]50.4[/C][C]49.4307603980086[/C][C]0.969239601991418[/C][/ROW]
[ROW][C]29[/C][C]59.36[/C][C]61.3107365919967[/C][C]-1.95073659199673[/C][/ROW]
[ROW][C]30[/C][C]69.6[/C][C]68.5020279417763[/C][C]1.0979720582237[/C][/ROW]
[ROW][C]31[/C][C]74.08[/C][C]74.6017783238828[/C][C]-0.521778323882813[/C][/ROW]
[ROW][C]32[/C][C]72.28[/C][C]72.8711309663678[/C][C]-0.591130966367786[/C][/ROW]
[ROW][C]33[/C][C]65.21[/C][C]63.1171902226423[/C][C]2.09280977735764[/C][/ROW]
[ROW][C]34[/C][C]53.98[/C][C]52.9578511248872[/C][C]1.02214887511278[/C][/ROW]
[ROW][C]35[/C][C]43.92[/C][C]43.1397681914805[/C][C]0.780231808519545[/C][/ROW]
[ROW][C]36[/C][C]31.87[/C][C]34.8387254480498[/C][C]-2.9687254480498[/C][/ROW]
[ROW][C]37[/C][C]31.05[/C][C]30.0591954877963[/C][C]0.990804512203727[/C][/ROW]
[ROW][C]38[/C][C]36.77[/C][C]32.613812990516[/C][C]4.15618700948403[/C][/ROW]
[ROW][C]39[/C][C]42.87[/C][C]45.7912219593542[/C][C]-2.92122195935416[/C][/ROW]
[ROW][C]40[/C][C]50.92[/C][C]50.2993332173567[/C][C]0.620666782643333[/C][/ROW]
[ROW][C]41[/C][C]61.65[/C][C]61.1107381280285[/C][C]0.539261871971483[/C][/ROW]
[ROW][C]42[/C][C]68.54[/C][C]69.8795990519819[/C][C]-1.33959905198192[/C][/ROW]
[ROW][C]43[/C][C]72.63[/C][C]74.8990408032249[/C][C]-2.26904080322493[/C][/ROW]
[ROW][C]44[/C][C]71.89[/C][C]72.7652177039784[/C][C]-0.875217703978436[/C][/ROW]
[ROW][C]45[/C][C]66.38[/C][C]63.8621460655177[/C][C]2.51785393448226[/C][/ROW]
[ROW][C]46[/C][C]50.5[/C][C]53.4311046459788[/C][C]-2.93110464597884[/C][/ROW]
[ROW][C]47[/C][C]45.84[/C][C]42.6719171361687[/C][C]3.16808286383127[/C][/ROW]
[ROW][C]48[/C][C]29.64[/C][C]33.614925885213[/C][C]-3.97492588521295[/C][/ROW]
[ROW][C]49[/C][C]30.67[/C][C]29.9631079259548[/C][C]0.706892074045193[/C][/ROW]
[ROW][C]50[/C][C]31.8[/C][C]33.5323310987401[/C][C]-1.73233109874007[/C][/ROW]
[ROW][C]51[/C][C]43.57[/C][C]43.0240092604273[/C][C]0.545990739572723[/C][/ROW]
[ROW][C]52[/C][C]53.24[/C][C]49.4896808573379[/C][C]3.75031914266211[/C][/ROW]
[ROW][C]53[/C][C]59.88[/C][C]60.9533269406651[/C][C]-1.07332694066513[/C][/ROW]
[ROW][C]54[/C][C]70.48[/C][C]68.7330053491038[/C][C]1.74699465089621[/C][/ROW]
[ROW][C]55[/C][C]74.71[/C][C]74.1069862328686[/C][C]0.603013767131401[/C][/ROW]
[ROW][C]56[/C][C]74.05[/C][C]73.0710444891199[/C][C]0.978955510880141[/C][/ROW]
[ROW][C]57[/C][C]66.49[/C][C]65.7244982152531[/C][C]0.765501784746874[/C][/ROW]
[ROW][C]58[/C][C]56.14[/C][C]53.0600142995355[/C][C]3.07998570046455[/C][/ROW]
[ROW][C]59[/C][C]42.31[/C][C]45.6805739744249[/C][C]-3.3705739744249[/C][/ROW]
[ROW][C]60[/C][C]32.47[/C][C]32.7743035070284[/C][C]-0.304303507028408[/C][/ROW]
[ROW][C]61[/C][C]29.71[/C][C]31.5118329183278[/C][C]-1.80183291832778[/C][/ROW]
[ROW][C]62[/C][C]33.04[/C][C]33.7066539841933[/C][C]-0.666653984193289[/C][/ROW]
[ROW][C]63[/C][C]43.07[/C][C]44.2045212825216[/C][C]-1.13452128252158[/C][/ROW]
[ROW][C]64[/C][C]51.96[/C][C]51.3946281109398[/C][C]0.56537188906016[/C][/ROW]
[ROW][C]65[/C][C]59.13[/C][C]60.5262161906036[/C][C]-1.39621619060364[/C][/ROW]
[ROW][C]66[/C][C]69.82[/C][C]69.1947057141662[/C][C]0.625294285833832[/C][/ROW]
[ROW][C]67[/C][C]76.14[/C][C]73.9360223070036[/C][C]2.20397769299639[/C][/ROW]
[ROW][C]68[/C][C]75[/C][C]73.3757184982989[/C][C]1.62428150170112[/C][/ROW]
[ROW][C]69[/C][C]66.09[/C][C]66.0967919410434[/C][C]-0.00679194104336034[/C][/ROW]
[ROW][C]70[/C][C]55.09[/C][C]54.0514918010927[/C][C]1.03850819890729[/C][/ROW]
[ROW][C]71[/C][C]43.75[/C][C]44.035234132302[/C][C]-0.285234132301952[/C][/ROW]
[ROW][C]72[/C][C]35.4[/C][C]32.8418431100732[/C][C]2.55815688992682[/C][/ROW]
[ROW][C]73[/C][C]36.12[/C][C]31.6920586201551[/C][C]4.42794137984492[/C][/ROW]
[ROW][C]74[/C][C]37.51[/C][C]35.6262856142407[/C][C]1.88371438575932[/C][/ROW]
[ROW][C]75[/C][C]50.41[/C][C]46.519139990314[/C][C]3.89086000968604[/C][/ROW]
[ROW][C]76[/C][C]54.68[/C][C]55.379009907789[/C][C]-0.699009907788962[/C][/ROW]
[ROW][C]77[/C][C]63.45[/C][C]63.5689351199581[/C][C]-0.118935119958095[/C][/ROW]
[ROW][C]78[/C][C]70.54[/C][C]73.2022645649496[/C][C]-2.66226456494958[/C][/ROW]
[ROW][C]79[/C][C]76.77[/C][C]77.7661357627514[/C][C]-0.996135762751422[/C][/ROW]
[ROW][C]80[/C][C]73.8[/C][C]76.3134969847917[/C][C]-2.51349698479167[/C][/ROW]
[ROW][C]81[/C][C]66.31[/C][C]67.5810399083466[/C][C]-1.27103990834657[/C][/ROW]
[ROW][C]82[/C][C]53.89[/C][C]55.6165010692705[/C][C]-1.72650106927049[/C][/ROW]
[ROW][C]83[/C][C]44.01[/C][C]44.5494464486093[/C][C]-0.539446448609255[/C][/ROW]
[ROW][C]84[/C][C]35.92[/C][C]34.2676306916654[/C][C]1.65236930833459[/C][/ROW]
[ROW][C]85[/C][C]32.25[/C][C]33.556822638599[/C][C]-1.30682263859896[/C][/ROW]
[ROW][C]86[/C][C]34.77[/C][C]35.3800839874443[/C][C]-0.610083987444249[/C][/ROW]
[ROW][C]87[/C][C]40.91[/C][C]46.4136229903491[/C][C]-5.50362299034907[/C][/ROW]
[ROW][C]88[/C][C]49.68[/C][C]51.6718947312549[/C][C]-1.99189473125487[/C][/ROW]
[ROW][C]89[/C][C]60.85[/C][C]59.7781750218545[/C][C]1.07182497814554[/C][/ROW]
[ROW][C]90[/C][C]70.39[/C][C]68.8054214311535[/C][C]1.58457856884645[/C][/ROW]
[ROW][C]91[/C][C]74.21[/C][C]74.8584369991954[/C][C]-0.648436999195454[/C][/ROW]
[ROW][C]92[/C][C]72.99[/C][C]72.9654065339515[/C][C]0.0245934660485005[/C][/ROW]
[ROW][C]93[/C][C]66.96[/C][C]65.2068096346576[/C][C]1.75319036534243[/C][/ROW]
[ROW][C]94[/C][C]53.44[/C][C]53.744423178065[/C][C]-0.304423178065022[/C][/ROW]
[ROW][C]95[/C][C]41.61[/C][C]43.3899360142458[/C][C]-1.77993601424581[/C][/ROW]
[ROW][C]96[/C][C]31.06[/C][C]33.5838786522942[/C][C]-2.52387865229416[/C][/ROW]
[ROW][C]97[/C][C]30.56[/C][C]30.9595988012938[/C][C]-0.399598801293841[/C][/ROW]
[ROW][C]98[/C][C]32.13[/C][C]33.2168589319396[/C][C]-1.08685893193957[/C][/ROW]
[ROW][C]99[/C][C]40.51[/C][C]42.4829283979974[/C][C]-1.97292839799739[/C][/ROW]
[ROW][C]100[/C][C]51.69[/C][C]49.702296889393[/C][C]1.98770311060702[/C][/ROW]
[ROW][C]101[/C][C]61.27[/C][C]59.7148678170909[/C][C]1.55513218290906[/C][/ROW]
[ROW][C]102[/C][C]69.58[/C][C]69.0214585025816[/C][C]0.558541497418375[/C][/ROW]
[ROW][C]103[/C][C]73.29[/C][C]74.0923017071684[/C][C]-0.802301707168354[/C][/ROW]
[ROW][C]104[/C][C]72.25[/C][C]72.3946862149799[/C][C]-0.144686214979899[/C][/ROW]
[ROW][C]105[/C][C]66.2[/C][C]65.1870665975514[/C][C]1.01293340244858[/C][/ROW]
[ROW][C]106[/C][C]56.93[/C][C]52.8642335936654[/C][C]4.0657664063346[/C][/ROW]
[ROW][C]107[/C][C]39.25[/C][C]42.957474310952[/C][C]-3.70747431095204[/C][/ROW]
[ROW][C]108[/C][C]36.81[/C][C]32.4797035844152[/C][C]4.3302964155848[/C][/ROW]
[ROW][C]109[/C][C]33.08[/C][C]32.0667931665766[/C][C]1.01320683342345[/C][/ROW]
[ROW][C]110[/C][C]32.97[/C][C]34.3973062323019[/C][C]-1.42730623230191[/C][/ROW]
[ROW][C]111[/C][C]45.39[/C][C]43.2881338971832[/C][C]2.10186610281681[/C][/ROW]
[ROW][C]112[/C][C]53.24[/C][C]52.7394404507824[/C][C]0.500559549217591[/C][/ROW]
[ROW][C]113[/C][C]60.84[/C][C]62.281846115236[/C][C]-1.44184611523604[/C][/ROW]
[ROW][C]114[/C][C]71.37[/C][C]70.5984816689232[/C][C]0.771518331076805[/C][/ROW]
[ROW][C]115[/C][C]73.92[/C][C]75.2528835946115[/C][C]-1.33288359461146[/C][/ROW]
[ROW][C]116[/C][C]72.95[/C][C]73.6635995074074[/C][C]-0.713599507407352[/C][/ROW]
[ROW][C]117[/C][C]68.54[/C][C]66.7259939889856[/C][C]1.81400601101444[/C][/ROW]
[ROW][C]118[/C][C]57.25[/C][C]55.6152119869232[/C][C]1.63478801307681[/C][/ROW]
[ROW][C]119[/C][C]44.6[/C][C]42.5372809686943[/C][C]2.06271903130573[/C][/ROW]
[ROW][C]120[/C][C]38.66[/C][C]36.0460748257526[/C][C]2.61392517424743[/C][/ROW]
[ROW][C]121[/C][C]32.22[/C][C]34.1324119084934[/C][C]-1.91241190849335[/C][/ROW]
[ROW][C]122[/C][C]39.49[/C][C]34.9975136736329[/C][C]4.49248632636711[/C][/ROW]
[ROW][C]123[/C][C]47.5[/C][C]46.3744034387395[/C][C]1.12559656126051[/C][/ROW]
[ROW][C]124[/C][C]53.22[/C][C]55.0691418976527[/C][C]-1.84914189765268[/C][/ROW]
[ROW][C]125[/C][C]60.31[/C][C]63.4406202145682[/C][C]-3.13062021456821[/C][/ROW]
[ROW][C]126[/C][C]71.78[/C][C]72.1429508098739[/C][C]-0.362950809873922[/C][/ROW]
[ROW][C]127[/C][C]75.22[/C][C]75.8353543001173[/C][C]-0.615354300117261[/C][/ROW]
[ROW][C]128[/C][C]73.54[/C][C]74.6125217354638[/C][C]-1.07252173546378[/C][/ROW]
[ROW][C]129[/C][C]67.14[/C][C]68.4563704956379[/C][C]-1.31637049563791[/C][/ROW]
[ROW][C]130[/C][C]57.72[/C][C]56.6045736079931[/C][C]1.11542639200689[/C][/ROW]
[ROW][C]131[/C][C]48.02[/C][C]43.5593148322868[/C][C]4.46068516771319[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300807&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300807&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1331.3531.8267788461539-0.476778846153866
1432.4132.8086701663665-0.398670166366458
1547.6647.7958640130714-0.135864013071441
1650.5450.35140277407770.188597225922273
1762.3362.02076441518850.309235584811475
1869.8769.77633486715050.0936651328495088
1974.776.1996557441354-1.49965574413541
2074.6473.28640931153541.35359068846456
2166.4363.37720034583773.0527996541623
2256.6853.32297965547213.35702034452795
2344.0145.7427678979827-1.73276789798272
2433.2237.8967942704821-4.67679427048211
2530.2731.6124479110797-1.34244791107973
2634.732.43283004333472.26716995666533
2741.8648.0885392046922-6.22853920469215
2850.449.43076039800860.969239601991418
2959.3661.3107365919967-1.95073659199673
3069.668.50202794177631.0979720582237
3174.0874.6017783238828-0.521778323882813
3272.2872.8711309663678-0.591130966367786
3365.2163.11719022264232.09280977735764
3453.9852.95785112488721.02214887511278
3543.9243.13976819148050.780231808519545
3631.8734.8387254480498-2.9687254480498
3731.0530.05919548779630.990804512203727
3836.7732.6138129905164.15618700948403
3942.8745.7912219593542-2.92122195935416
4050.9250.29933321735670.620666782643333
4161.6561.11073812802850.539261871971483
4268.5469.8795990519819-1.33959905198192
4372.6374.8990408032249-2.26904080322493
4471.8972.7652177039784-0.875217703978436
4566.3863.86214606551772.51785393448226
4650.553.4311046459788-2.93110464597884
4745.8442.67191713616873.16808286383127
4829.6433.614925885213-3.97492588521295
4930.6729.96310792595480.706892074045193
5031.833.5323310987401-1.73233109874007
5143.5743.02400926042730.545990739572723
5253.2449.48968085733793.75031914266211
5359.8860.9533269406651-1.07332694066513
5470.4868.73300534910381.74699465089621
5574.7174.10698623286860.603013767131401
5674.0573.07104448911990.978955510880141
5766.4965.72449821525310.765501784746874
5856.1453.06001429953553.07998570046455
5942.3145.6805739744249-3.3705739744249
6032.4732.7743035070284-0.304303507028408
6129.7131.5118329183278-1.80183291832778
6233.0433.7066539841933-0.666653984193289
6343.0744.2045212825216-1.13452128252158
6451.9651.39462811093980.56537188906016
6559.1360.5262161906036-1.39621619060364
6669.8269.19470571416620.625294285833832
6776.1473.93602230700362.20397769299639
687573.37571849829891.62428150170112
6966.0966.0967919410434-0.00679194104336034
7055.0954.05149180109271.03850819890729
7143.7544.035234132302-0.285234132301952
7235.432.84184311007322.55815688992682
7336.1231.69205862015514.42794137984492
7437.5135.62628561424071.88371438575932
7550.4146.5191399903143.89086000968604
7654.6855.379009907789-0.699009907788962
7763.4563.5689351199581-0.118935119958095
7870.5473.2022645649496-2.66226456494958
7976.7777.7661357627514-0.996135762751422
8073.876.3134969847917-2.51349698479167
8166.3167.5810399083466-1.27103990834657
8253.8955.6165010692705-1.72650106927049
8344.0144.5494464486093-0.539446448609255
8435.9234.26763069166541.65236930833459
8532.2533.556822638599-1.30682263859896
8634.7735.3800839874443-0.610083987444249
8740.9146.4136229903491-5.50362299034907
8849.6851.6718947312549-1.99189473125487
8960.8559.77817502185451.07182497814554
9070.3968.80542143115351.58457856884645
9174.2174.8584369991954-0.648436999195454
9272.9972.96540653395150.0245934660485005
9366.9665.20680963465761.75319036534243
9453.4453.744423178065-0.304423178065022
9541.6143.3899360142458-1.77993601424581
9631.0633.5838786522942-2.52387865229416
9730.5630.9595988012938-0.399598801293841
9832.1333.2168589319396-1.08685893193957
9940.5142.4829283979974-1.97292839799739
10051.6949.7022968893931.98770311060702
10161.2759.71486781709091.55513218290906
10269.5869.02145850258160.558541497418375
10373.2974.0923017071684-0.802301707168354
10472.2572.3946862149799-0.144686214979899
10566.265.18706659755141.01293340244858
10656.9352.86423359366544.0657664063346
10739.2542.957474310952-3.70747431095204
10836.8132.47970358441524.3302964155848
10933.0832.06679316657661.01320683342345
11032.9734.3973062323019-1.42730623230191
11145.3943.28813389718322.10186610281681
11253.2452.73944045078240.500559549217591
11360.8462.281846115236-1.44184611523604
11471.3770.59848166892320.771518331076805
11573.9275.2528835946115-1.33288359461146
11672.9573.6635995074074-0.713599507407352
11768.5466.72599398898561.81400601101444
11857.2555.61521198692321.63478801307681
11944.642.53728096869432.06271903130573
12038.6636.04607482575262.61392517424743
12132.2234.1324119084934-1.91241190849335
12239.4934.99751367363294.49248632636711
12347.546.37440343873951.12559656126051
12453.2255.0691418976527-1.84914189765268
12560.3163.4406202145682-3.13062021456821
12671.7872.1429508098739-0.362950809873922
12775.2275.8353543001173-0.615354300117261
12873.5474.6125217354638-1.07252173546378
12967.1468.4563704956379-1.31637049563791
13057.7256.60457360799311.11542639200689
13148.0243.55931483228684.46068516771319







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
13237.776489186932933.623352598734741.9296257751311
13333.755913726117929.505897179733538.0059302725024
13437.214267502611632.869530713247741.5590042919755
13546.470357893134742.032922271836950.9077935144325
13653.909095703209449.380858516679358.4373328897394
13762.246576792336557.629323372630766.8638302120422
13872.570094407175667.865508743581577.2746800707697
13976.255527700191371.465201678884881.0458537214977
14075.01093650578770.136378011449679.8854950001243
14169.004878860849164.047518914362873.9622388073355
14258.265918738607353.227117813452863.3047196637618
14346.115779459621540.996833094631151.2347258246119

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
132 & 37.7764891869329 & 33.6233525987347 & 41.9296257751311 \tabularnewline
133 & 33.7559137261179 & 29.5058971797335 & 38.0059302725024 \tabularnewline
134 & 37.2142675026116 & 32.8695307132477 & 41.5590042919755 \tabularnewline
135 & 46.4703578931347 & 42.0329222718369 & 50.9077935144325 \tabularnewline
136 & 53.9090957032094 & 49.3808585166793 & 58.4373328897394 \tabularnewline
137 & 62.2465767923365 & 57.6293233726307 & 66.8638302120422 \tabularnewline
138 & 72.5700944071756 & 67.8655087435815 & 77.2746800707697 \tabularnewline
139 & 76.2555277001913 & 71.4652016788848 & 81.0458537214977 \tabularnewline
140 & 75.010936505787 & 70.1363780114496 & 79.8854950001243 \tabularnewline
141 & 69.0048788608491 & 64.0475189143628 & 73.9622388073355 \tabularnewline
142 & 58.2659187386073 & 53.2271178134528 & 63.3047196637618 \tabularnewline
143 & 46.1157794596215 & 40.9968330946311 & 51.2347258246119 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300807&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]132[/C][C]37.7764891869329[/C][C]33.6233525987347[/C][C]41.9296257751311[/C][/ROW]
[ROW][C]133[/C][C]33.7559137261179[/C][C]29.5058971797335[/C][C]38.0059302725024[/C][/ROW]
[ROW][C]134[/C][C]37.2142675026116[/C][C]32.8695307132477[/C][C]41.5590042919755[/C][/ROW]
[ROW][C]135[/C][C]46.4703578931347[/C][C]42.0329222718369[/C][C]50.9077935144325[/C][/ROW]
[ROW][C]136[/C][C]53.9090957032094[/C][C]49.3808585166793[/C][C]58.4373328897394[/C][/ROW]
[ROW][C]137[/C][C]62.2465767923365[/C][C]57.6293233726307[/C][C]66.8638302120422[/C][/ROW]
[ROW][C]138[/C][C]72.5700944071756[/C][C]67.8655087435815[/C][C]77.2746800707697[/C][/ROW]
[ROW][C]139[/C][C]76.2555277001913[/C][C]71.4652016788848[/C][C]81.0458537214977[/C][/ROW]
[ROW][C]140[/C][C]75.010936505787[/C][C]70.1363780114496[/C][C]79.8854950001243[/C][/ROW]
[ROW][C]141[/C][C]69.0048788608491[/C][C]64.0475189143628[/C][C]73.9622388073355[/C][/ROW]
[ROW][C]142[/C][C]58.2659187386073[/C][C]53.2271178134528[/C][C]63.3047196637618[/C][/ROW]
[ROW][C]143[/C][C]46.1157794596215[/C][C]40.9968330946311[/C][C]51.2347258246119[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300807&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300807&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
13237.776489186932933.623352598734741.9296257751311
13333.755913726117929.505897179733538.0059302725024
13437.214267502611632.869530713247741.5590042919755
13546.470357893134742.032922271836950.9077935144325
13653.909095703209449.380858516679358.4373328897394
13762.246576792336557.629323372630766.8638302120422
13872.570094407175667.865508743581577.2746800707697
13976.255527700191371.465201678884881.0458537214977
14075.01093650578770.136378011449679.8854950001243
14169.004878860849164.047518914362873.9622388073355
14258.265918738607353.227117813452863.3047196637618
14346.115779459621540.996833094631151.2347258246119



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par4 <- as.numeric(par4)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par4, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')