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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 09 Aug 2015 18:24:10 +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/2015/Aug/09/t1439141130ui2m4fcuhxt5h4g.htm/, Retrieved Wed, 15 May 2024 12:54:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279959, Retrieved Wed, 15 May 2024 12:54:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsClassic Decomposition Reeks A Sebastiaan Lunders Reeks A Sebastiaan Lunders MAR204A Omzet Mercedes A-klasse euro Ottevaere
Estimated Impact137

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Cijferreeks A 2de...] [2015-08-05 23:58:24] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RMP   [(Partial) Autocorrelation Function] [Autocorrelation R...] [2015-08-09 16:24:48] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RMP     [Standard Deviation Plot] [Standard Deviatio...] [2015-08-09 16:43:04] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RM        [Standard Deviation-Mean Plot] [Standard Deviatio...] [2015-08-09 17:04:17] [039d3b62ab99f9eeb4c9cc4c099c66fc]
- RMP           [Classical Decomposition] [Classic Decomposi...] [2015-08-09 17:24:10] [2cf7618d5ff65529ef2e27cea5366de0] [Current]
- RMP             [Exponential Smoothing] [Exponential Smoot...] [2015-08-09 17:45:12] [039d3b62ab99f9eeb4c9cc4c099c66fc]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3221816.00
3209817.00
3197649.00
3172468.00
3421574.00
3408392.00
3221816.00
3097770.00
3109769.00
3109769.00
3123120.00
3147118.00
3184467.00
3184467.00
3160469.00
3097770.00
3421574.00
3470922.00
3396393.00
3221816.00
3296514.00
3184467.00
3234998.00
3259165.00
3284346.00
3221816.00
3234998.00
3147118.00
3421574.00
3508271.00
3433742.00
3296514.00
3445741.00
3284346.00
3433742.00
3421574.00
3458923.00
3321695.00
3470922.00
3458923.00
3682848.00
3632317.00
3433742.00
3333694.00
3470922.00
3284346.00
3421574.00
3445741.00
3496272.00
3384394.00
3445741.00
3483090.00
3620318.00
3508271.00
3359044.00
3197649.00
3347045.00
2936375.00
3135119.00
3246997.00
3359044.00
3197649.00
3197649.00
3197649.00
3284346.00
3160469.00
2997891.00
2861846.00
2960542.00
2575222.00
2811315.00
2948543.00
2973724.00
2836496.00
2848495.00
2811315.00
2936375.00
2848495.00
2675270.00
2550041.00
2761798.00
2301949.00
2600572.00
2736617.00
2736617.00
2575222.00
2425995.00
2413996.00
2550041.00
2425995.00
2190071.00
2027493.00
2202070.00
1791569.00
2164721.00
2363296.00
2425995.00
2288767.00
2115373.00
2239419.00
2288767.00
2251418.00
1878097.00
1704872.00
1828749.00
1455597.00
1840917.00
1978145.00
2090023.00
1903447.00
1728870.00
1828749.00
1878097.00
1779401.00
1406249.00
1243671.00
1392898.00
982397.00
1430247.00
1704872.00

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279959&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279959&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279959&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13221816NANA111798NA
23209817NANA7069.77NA
33197649NANA-8113.63NA
43172468NANA15185.7NA
53421574NANA189084NA
63408392NANA148223NA
7322181631854703201870-16397.836346.8
8309777030503303199250-14892947444.5
9310976931862903196650-10363.8-76516.2
10310976929169203191990-275066192848
11312312031318903188880-56984.4-8770.72
1231471183235970319148044493.9-88856.4
13318446733131603201360111798-128691
143184467322087032138007069.77-36405.4
15316046932186403226750-8113.63-58169.6
1630977703252830323765015185.7-155061
17342157434345003245420189084-12930
1834709223402970325475014822367949
19339639332471803263580-16397.8149211
20322181631203703269300-148929101447
21329651432636003273960-10363.832918.3
22318446730040503279120-275066180412
23323499832241903281180-56984.410805.1
2432591653327230328273044493.9-68062.3
25328434633976403285850111798-113298
263221816329758032905107069.77-75768.3
27323499832917303299840-8113.63-56733.1
2831471183325410331022015185.7-178292
29342157435117503322670189084-90177.1
3035082713485940333771014822322333.1
31343374233353603351760-16397.898383.9
32329651432142603363190-14892982251.4
33344574133668203377180-10363.878921.5
34328434631249403400010-275066159407
35343374233669003423880-56984.466842.7
3634215743484430343994044493.9-62858.5
37345892335569103445110111798-97982.4
383321695345373034466607069.77-132031
39347092234411403449250-8113.6329780.8
4034589233465490345030015185.7-6566.68
4136828483638880344980018908443966.7
4236323173598520345030014822333796.9
43343374234364603452860-16397.8-2720.37
44333369433081003457030-14892925594.2
45347092234482303458590-10363.822693.8
46328434631834803458550-275066100863
47342157433999703456950-56984.421607
4834457413493670344918044493.9-47930.2
49349627235526903440900111798-56422.5
503384394343919034321207069.77-54791.1
51344574134131703421290-8113.6332569.3
5234830903416810340162015185.766279.4
5336203183564270337519018908456043.1
543508271350320033549701482235073.98
55335904433245803340980-16397.834466.7
56319764931785503327480-14892919101.8
57334704532989903309360-10363.848050.8
58293637530120603287130-275066-75686.1
59313511932042503261240-56984.4-69131.9
6032469973277240323274044493.9-30241.5
6133590443315000320320011179844041
623197649318123031741707069.7716414.2
63319764931359603144070-8113.6361693.7
6431976493128100311292015185.769546.7
6532843463273460308438018908410884.9
66316046932066703058450148223-46203.4
67299789130135603029960-16397.8-15670
68286184628499302998860-14892911919.3
69296054229589002969260-10363.81646.25
70257522226635502938610-275066-88325.9
71281131528510302908020-56984.4-39718.8
7229485432925010288052044493.923528.6
732973724296588028540801117987846.83
742836496283471028276407069.771781.61
75284849527982602806370-8113.6350236.9
7628113152801890278670015185.79424.94
77293637529556202766540189084-19246.4
78284849528971502748930148223-48653.9
79267527027138202730220-16397.8-38548.4
80255004125605202709450-148929-10480.3
81276179826706002680960-10363.891202.2
82230194923717302646800-275066-69785.2
83260057225571602614150-56984.443408
8427366172624940258045044493.9111676
8527366172654420254263011179882192.7
862575222250771025006407069.7767515.6
87242599524474302455540-8113.63-21433.2
8824139962426140241095015185.7-12143.7
89255004125606102371530189084-10571
90242599524860402337810148223-60040.3
91219007122929202309310-16397.8-102846
92202749321355102284440-148929-108014
93220207022491902259560-10363.8-47124.3
94179156919642802239340-275066-172706
95216472121642002221180-56984.4524.278
9623632962247510220302044493.9115781
97242599522945502182750111798131449
982288767216338021563107069.77125391
99211537321191902127310-8113.63-3821.99
10022394192112940209775015185.7126479
10122887672259350207026018908429418.6
10222514182188950204072014822362470.6
103187809719942802010680-16397.8-116183
104170487218316901980620-148929-126823
105182874919381001948460-10363.8-109352
106145559716401801915250-275066-184585
107184091718240401881030-56984.416875
10819781451888740184425044493.989403.4
109209002319167201804920111798173305
1101903447177311017660407069.77130334
111172887017205501728670-8113.638317.84
11218287491705970169079015185.7122775
11318780971843050165396018908435051.9
1141779401177369016254601482235714.77
1151406249NANA-16397.8NA
1161243671NANA-148929NA
1171392898NANA-10363.8NA
118982397NANA-275066NA
1191430247NANA-56984.4NA
1201704872NANA44493.9NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3221816 & NA & NA & 111798 & NA \tabularnewline
2 & 3209817 & NA & NA & 7069.77 & NA \tabularnewline
3 & 3197649 & NA & NA & -8113.63 & NA \tabularnewline
4 & 3172468 & NA & NA & 15185.7 & NA \tabularnewline
5 & 3421574 & NA & NA & 189084 & NA \tabularnewline
6 & 3408392 & NA & NA & 148223 & NA \tabularnewline
7 & 3221816 & 3185470 & 3201870 & -16397.8 & 36346.8 \tabularnewline
8 & 3097770 & 3050330 & 3199250 & -148929 & 47444.5 \tabularnewline
9 & 3109769 & 3186290 & 3196650 & -10363.8 & -76516.2 \tabularnewline
10 & 3109769 & 2916920 & 3191990 & -275066 & 192848 \tabularnewline
11 & 3123120 & 3131890 & 3188880 & -56984.4 & -8770.72 \tabularnewline
12 & 3147118 & 3235970 & 3191480 & 44493.9 & -88856.4 \tabularnewline
13 & 3184467 & 3313160 & 3201360 & 111798 & -128691 \tabularnewline
14 & 3184467 & 3220870 & 3213800 & 7069.77 & -36405.4 \tabularnewline
15 & 3160469 & 3218640 & 3226750 & -8113.63 & -58169.6 \tabularnewline
16 & 3097770 & 3252830 & 3237650 & 15185.7 & -155061 \tabularnewline
17 & 3421574 & 3434500 & 3245420 & 189084 & -12930 \tabularnewline
18 & 3470922 & 3402970 & 3254750 & 148223 & 67949 \tabularnewline
19 & 3396393 & 3247180 & 3263580 & -16397.8 & 149211 \tabularnewline
20 & 3221816 & 3120370 & 3269300 & -148929 & 101447 \tabularnewline
21 & 3296514 & 3263600 & 3273960 & -10363.8 & 32918.3 \tabularnewline
22 & 3184467 & 3004050 & 3279120 & -275066 & 180412 \tabularnewline
23 & 3234998 & 3224190 & 3281180 & -56984.4 & 10805.1 \tabularnewline
24 & 3259165 & 3327230 & 3282730 & 44493.9 & -68062.3 \tabularnewline
25 & 3284346 & 3397640 & 3285850 & 111798 & -113298 \tabularnewline
26 & 3221816 & 3297580 & 3290510 & 7069.77 & -75768.3 \tabularnewline
27 & 3234998 & 3291730 & 3299840 & -8113.63 & -56733.1 \tabularnewline
28 & 3147118 & 3325410 & 3310220 & 15185.7 & -178292 \tabularnewline
29 & 3421574 & 3511750 & 3322670 & 189084 & -90177.1 \tabularnewline
30 & 3508271 & 3485940 & 3337710 & 148223 & 22333.1 \tabularnewline
31 & 3433742 & 3335360 & 3351760 & -16397.8 & 98383.9 \tabularnewline
32 & 3296514 & 3214260 & 3363190 & -148929 & 82251.4 \tabularnewline
33 & 3445741 & 3366820 & 3377180 & -10363.8 & 78921.5 \tabularnewline
34 & 3284346 & 3124940 & 3400010 & -275066 & 159407 \tabularnewline
35 & 3433742 & 3366900 & 3423880 & -56984.4 & 66842.7 \tabularnewline
36 & 3421574 & 3484430 & 3439940 & 44493.9 & -62858.5 \tabularnewline
37 & 3458923 & 3556910 & 3445110 & 111798 & -97982.4 \tabularnewline
38 & 3321695 & 3453730 & 3446660 & 7069.77 & -132031 \tabularnewline
39 & 3470922 & 3441140 & 3449250 & -8113.63 & 29780.8 \tabularnewline
40 & 3458923 & 3465490 & 3450300 & 15185.7 & -6566.68 \tabularnewline
41 & 3682848 & 3638880 & 3449800 & 189084 & 43966.7 \tabularnewline
42 & 3632317 & 3598520 & 3450300 & 148223 & 33796.9 \tabularnewline
43 & 3433742 & 3436460 & 3452860 & -16397.8 & -2720.37 \tabularnewline
44 & 3333694 & 3308100 & 3457030 & -148929 & 25594.2 \tabularnewline
45 & 3470922 & 3448230 & 3458590 & -10363.8 & 22693.8 \tabularnewline
46 & 3284346 & 3183480 & 3458550 & -275066 & 100863 \tabularnewline
47 & 3421574 & 3399970 & 3456950 & -56984.4 & 21607 \tabularnewline
48 & 3445741 & 3493670 & 3449180 & 44493.9 & -47930.2 \tabularnewline
49 & 3496272 & 3552690 & 3440900 & 111798 & -56422.5 \tabularnewline
50 & 3384394 & 3439190 & 3432120 & 7069.77 & -54791.1 \tabularnewline
51 & 3445741 & 3413170 & 3421290 & -8113.63 & 32569.3 \tabularnewline
52 & 3483090 & 3416810 & 3401620 & 15185.7 & 66279.4 \tabularnewline
53 & 3620318 & 3564270 & 3375190 & 189084 & 56043.1 \tabularnewline
54 & 3508271 & 3503200 & 3354970 & 148223 & 5073.98 \tabularnewline
55 & 3359044 & 3324580 & 3340980 & -16397.8 & 34466.7 \tabularnewline
56 & 3197649 & 3178550 & 3327480 & -148929 & 19101.8 \tabularnewline
57 & 3347045 & 3298990 & 3309360 & -10363.8 & 48050.8 \tabularnewline
58 & 2936375 & 3012060 & 3287130 & -275066 & -75686.1 \tabularnewline
59 & 3135119 & 3204250 & 3261240 & -56984.4 & -69131.9 \tabularnewline
60 & 3246997 & 3277240 & 3232740 & 44493.9 & -30241.5 \tabularnewline
61 & 3359044 & 3315000 & 3203200 & 111798 & 44041 \tabularnewline
62 & 3197649 & 3181230 & 3174170 & 7069.77 & 16414.2 \tabularnewline
63 & 3197649 & 3135960 & 3144070 & -8113.63 & 61693.7 \tabularnewline
64 & 3197649 & 3128100 & 3112920 & 15185.7 & 69546.7 \tabularnewline
65 & 3284346 & 3273460 & 3084380 & 189084 & 10884.9 \tabularnewline
66 & 3160469 & 3206670 & 3058450 & 148223 & -46203.4 \tabularnewline
67 & 2997891 & 3013560 & 3029960 & -16397.8 & -15670 \tabularnewline
68 & 2861846 & 2849930 & 2998860 & -148929 & 11919.3 \tabularnewline
69 & 2960542 & 2958900 & 2969260 & -10363.8 & 1646.25 \tabularnewline
70 & 2575222 & 2663550 & 2938610 & -275066 & -88325.9 \tabularnewline
71 & 2811315 & 2851030 & 2908020 & -56984.4 & -39718.8 \tabularnewline
72 & 2948543 & 2925010 & 2880520 & 44493.9 & 23528.6 \tabularnewline
73 & 2973724 & 2965880 & 2854080 & 111798 & 7846.83 \tabularnewline
74 & 2836496 & 2834710 & 2827640 & 7069.77 & 1781.61 \tabularnewline
75 & 2848495 & 2798260 & 2806370 & -8113.63 & 50236.9 \tabularnewline
76 & 2811315 & 2801890 & 2786700 & 15185.7 & 9424.94 \tabularnewline
77 & 2936375 & 2955620 & 2766540 & 189084 & -19246.4 \tabularnewline
78 & 2848495 & 2897150 & 2748930 & 148223 & -48653.9 \tabularnewline
79 & 2675270 & 2713820 & 2730220 & -16397.8 & -38548.4 \tabularnewline
80 & 2550041 & 2560520 & 2709450 & -148929 & -10480.3 \tabularnewline
81 & 2761798 & 2670600 & 2680960 & -10363.8 & 91202.2 \tabularnewline
82 & 2301949 & 2371730 & 2646800 & -275066 & -69785.2 \tabularnewline
83 & 2600572 & 2557160 & 2614150 & -56984.4 & 43408 \tabularnewline
84 & 2736617 & 2624940 & 2580450 & 44493.9 & 111676 \tabularnewline
85 & 2736617 & 2654420 & 2542630 & 111798 & 82192.7 \tabularnewline
86 & 2575222 & 2507710 & 2500640 & 7069.77 & 67515.6 \tabularnewline
87 & 2425995 & 2447430 & 2455540 & -8113.63 & -21433.2 \tabularnewline
88 & 2413996 & 2426140 & 2410950 & 15185.7 & -12143.7 \tabularnewline
89 & 2550041 & 2560610 & 2371530 & 189084 & -10571 \tabularnewline
90 & 2425995 & 2486040 & 2337810 & 148223 & -60040.3 \tabularnewline
91 & 2190071 & 2292920 & 2309310 & -16397.8 & -102846 \tabularnewline
92 & 2027493 & 2135510 & 2284440 & -148929 & -108014 \tabularnewline
93 & 2202070 & 2249190 & 2259560 & -10363.8 & -47124.3 \tabularnewline
94 & 1791569 & 1964280 & 2239340 & -275066 & -172706 \tabularnewline
95 & 2164721 & 2164200 & 2221180 & -56984.4 & 524.278 \tabularnewline
96 & 2363296 & 2247510 & 2203020 & 44493.9 & 115781 \tabularnewline
97 & 2425995 & 2294550 & 2182750 & 111798 & 131449 \tabularnewline
98 & 2288767 & 2163380 & 2156310 & 7069.77 & 125391 \tabularnewline
99 & 2115373 & 2119190 & 2127310 & -8113.63 & -3821.99 \tabularnewline
100 & 2239419 & 2112940 & 2097750 & 15185.7 & 126479 \tabularnewline
101 & 2288767 & 2259350 & 2070260 & 189084 & 29418.6 \tabularnewline
102 & 2251418 & 2188950 & 2040720 & 148223 & 62470.6 \tabularnewline
103 & 1878097 & 1994280 & 2010680 & -16397.8 & -116183 \tabularnewline
104 & 1704872 & 1831690 & 1980620 & -148929 & -126823 \tabularnewline
105 & 1828749 & 1938100 & 1948460 & -10363.8 & -109352 \tabularnewline
106 & 1455597 & 1640180 & 1915250 & -275066 & -184585 \tabularnewline
107 & 1840917 & 1824040 & 1881030 & -56984.4 & 16875 \tabularnewline
108 & 1978145 & 1888740 & 1844250 & 44493.9 & 89403.4 \tabularnewline
109 & 2090023 & 1916720 & 1804920 & 111798 & 173305 \tabularnewline
110 & 1903447 & 1773110 & 1766040 & 7069.77 & 130334 \tabularnewline
111 & 1728870 & 1720550 & 1728670 & -8113.63 & 8317.84 \tabularnewline
112 & 1828749 & 1705970 & 1690790 & 15185.7 & 122775 \tabularnewline
113 & 1878097 & 1843050 & 1653960 & 189084 & 35051.9 \tabularnewline
114 & 1779401 & 1773690 & 1625460 & 148223 & 5714.77 \tabularnewline
115 & 1406249 & NA & NA & -16397.8 & NA \tabularnewline
116 & 1243671 & NA & NA & -148929 & NA \tabularnewline
117 & 1392898 & NA & NA & -10363.8 & NA \tabularnewline
118 & 982397 & NA & NA & -275066 & NA \tabularnewline
119 & 1430247 & NA & NA & -56984.4 & NA \tabularnewline
120 & 1704872 & NA & NA & 44493.9 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279959&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]3221816[/C][C]NA[/C][C]NA[/C][C]111798[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3209817[/C][C]NA[/C][C]NA[/C][C]7069.77[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3197649[/C][C]NA[/C][C]NA[/C][C]-8113.63[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3172468[/C][C]NA[/C][C]NA[/C][C]15185.7[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3421574[/C][C]NA[/C][C]NA[/C][C]189084[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]3408392[/C][C]NA[/C][C]NA[/C][C]148223[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3221816[/C][C]3185470[/C][C]3201870[/C][C]-16397.8[/C][C]36346.8[/C][/ROW]
[ROW][C]8[/C][C]3097770[/C][C]3050330[/C][C]3199250[/C][C]-148929[/C][C]47444.5[/C][/ROW]
[ROW][C]9[/C][C]3109769[/C][C]3186290[/C][C]3196650[/C][C]-10363.8[/C][C]-76516.2[/C][/ROW]
[ROW][C]10[/C][C]3109769[/C][C]2916920[/C][C]3191990[/C][C]-275066[/C][C]192848[/C][/ROW]
[ROW][C]11[/C][C]3123120[/C][C]3131890[/C][C]3188880[/C][C]-56984.4[/C][C]-8770.72[/C][/ROW]
[ROW][C]12[/C][C]3147118[/C][C]3235970[/C][C]3191480[/C][C]44493.9[/C][C]-88856.4[/C][/ROW]
[ROW][C]13[/C][C]3184467[/C][C]3313160[/C][C]3201360[/C][C]111798[/C][C]-128691[/C][/ROW]
[ROW][C]14[/C][C]3184467[/C][C]3220870[/C][C]3213800[/C][C]7069.77[/C][C]-36405.4[/C][/ROW]
[ROW][C]15[/C][C]3160469[/C][C]3218640[/C][C]3226750[/C][C]-8113.63[/C][C]-58169.6[/C][/ROW]
[ROW][C]16[/C][C]3097770[/C][C]3252830[/C][C]3237650[/C][C]15185.7[/C][C]-155061[/C][/ROW]
[ROW][C]17[/C][C]3421574[/C][C]3434500[/C][C]3245420[/C][C]189084[/C][C]-12930[/C][/ROW]
[ROW][C]18[/C][C]3470922[/C][C]3402970[/C][C]3254750[/C][C]148223[/C][C]67949[/C][/ROW]
[ROW][C]19[/C][C]3396393[/C][C]3247180[/C][C]3263580[/C][C]-16397.8[/C][C]149211[/C][/ROW]
[ROW][C]20[/C][C]3221816[/C][C]3120370[/C][C]3269300[/C][C]-148929[/C][C]101447[/C][/ROW]
[ROW][C]21[/C][C]3296514[/C][C]3263600[/C][C]3273960[/C][C]-10363.8[/C][C]32918.3[/C][/ROW]
[ROW][C]22[/C][C]3184467[/C][C]3004050[/C][C]3279120[/C][C]-275066[/C][C]180412[/C][/ROW]
[ROW][C]23[/C][C]3234998[/C][C]3224190[/C][C]3281180[/C][C]-56984.4[/C][C]10805.1[/C][/ROW]
[ROW][C]24[/C][C]3259165[/C][C]3327230[/C][C]3282730[/C][C]44493.9[/C][C]-68062.3[/C][/ROW]
[ROW][C]25[/C][C]3284346[/C][C]3397640[/C][C]3285850[/C][C]111798[/C][C]-113298[/C][/ROW]
[ROW][C]26[/C][C]3221816[/C][C]3297580[/C][C]3290510[/C][C]7069.77[/C][C]-75768.3[/C][/ROW]
[ROW][C]27[/C][C]3234998[/C][C]3291730[/C][C]3299840[/C][C]-8113.63[/C][C]-56733.1[/C][/ROW]
[ROW][C]28[/C][C]3147118[/C][C]3325410[/C][C]3310220[/C][C]15185.7[/C][C]-178292[/C][/ROW]
[ROW][C]29[/C][C]3421574[/C][C]3511750[/C][C]3322670[/C][C]189084[/C][C]-90177.1[/C][/ROW]
[ROW][C]30[/C][C]3508271[/C][C]3485940[/C][C]3337710[/C][C]148223[/C][C]22333.1[/C][/ROW]
[ROW][C]31[/C][C]3433742[/C][C]3335360[/C][C]3351760[/C][C]-16397.8[/C][C]98383.9[/C][/ROW]
[ROW][C]32[/C][C]3296514[/C][C]3214260[/C][C]3363190[/C][C]-148929[/C][C]82251.4[/C][/ROW]
[ROW][C]33[/C][C]3445741[/C][C]3366820[/C][C]3377180[/C][C]-10363.8[/C][C]78921.5[/C][/ROW]
[ROW][C]34[/C][C]3284346[/C][C]3124940[/C][C]3400010[/C][C]-275066[/C][C]159407[/C][/ROW]
[ROW][C]35[/C][C]3433742[/C][C]3366900[/C][C]3423880[/C][C]-56984.4[/C][C]66842.7[/C][/ROW]
[ROW][C]36[/C][C]3421574[/C][C]3484430[/C][C]3439940[/C][C]44493.9[/C][C]-62858.5[/C][/ROW]
[ROW][C]37[/C][C]3458923[/C][C]3556910[/C][C]3445110[/C][C]111798[/C][C]-97982.4[/C][/ROW]
[ROW][C]38[/C][C]3321695[/C][C]3453730[/C][C]3446660[/C][C]7069.77[/C][C]-132031[/C][/ROW]
[ROW][C]39[/C][C]3470922[/C][C]3441140[/C][C]3449250[/C][C]-8113.63[/C][C]29780.8[/C][/ROW]
[ROW][C]40[/C][C]3458923[/C][C]3465490[/C][C]3450300[/C][C]15185.7[/C][C]-6566.68[/C][/ROW]
[ROW][C]41[/C][C]3682848[/C][C]3638880[/C][C]3449800[/C][C]189084[/C][C]43966.7[/C][/ROW]
[ROW][C]42[/C][C]3632317[/C][C]3598520[/C][C]3450300[/C][C]148223[/C][C]33796.9[/C][/ROW]
[ROW][C]43[/C][C]3433742[/C][C]3436460[/C][C]3452860[/C][C]-16397.8[/C][C]-2720.37[/C][/ROW]
[ROW][C]44[/C][C]3333694[/C][C]3308100[/C][C]3457030[/C][C]-148929[/C][C]25594.2[/C][/ROW]
[ROW][C]45[/C][C]3470922[/C][C]3448230[/C][C]3458590[/C][C]-10363.8[/C][C]22693.8[/C][/ROW]
[ROW][C]46[/C][C]3284346[/C][C]3183480[/C][C]3458550[/C][C]-275066[/C][C]100863[/C][/ROW]
[ROW][C]47[/C][C]3421574[/C][C]3399970[/C][C]3456950[/C][C]-56984.4[/C][C]21607[/C][/ROW]
[ROW][C]48[/C][C]3445741[/C][C]3493670[/C][C]3449180[/C][C]44493.9[/C][C]-47930.2[/C][/ROW]
[ROW][C]49[/C][C]3496272[/C][C]3552690[/C][C]3440900[/C][C]111798[/C][C]-56422.5[/C][/ROW]
[ROW][C]50[/C][C]3384394[/C][C]3439190[/C][C]3432120[/C][C]7069.77[/C][C]-54791.1[/C][/ROW]
[ROW][C]51[/C][C]3445741[/C][C]3413170[/C][C]3421290[/C][C]-8113.63[/C][C]32569.3[/C][/ROW]
[ROW][C]52[/C][C]3483090[/C][C]3416810[/C][C]3401620[/C][C]15185.7[/C][C]66279.4[/C][/ROW]
[ROW][C]53[/C][C]3620318[/C][C]3564270[/C][C]3375190[/C][C]189084[/C][C]56043.1[/C][/ROW]
[ROW][C]54[/C][C]3508271[/C][C]3503200[/C][C]3354970[/C][C]148223[/C][C]5073.98[/C][/ROW]
[ROW][C]55[/C][C]3359044[/C][C]3324580[/C][C]3340980[/C][C]-16397.8[/C][C]34466.7[/C][/ROW]
[ROW][C]56[/C][C]3197649[/C][C]3178550[/C][C]3327480[/C][C]-148929[/C][C]19101.8[/C][/ROW]
[ROW][C]57[/C][C]3347045[/C][C]3298990[/C][C]3309360[/C][C]-10363.8[/C][C]48050.8[/C][/ROW]
[ROW][C]58[/C][C]2936375[/C][C]3012060[/C][C]3287130[/C][C]-275066[/C][C]-75686.1[/C][/ROW]
[ROW][C]59[/C][C]3135119[/C][C]3204250[/C][C]3261240[/C][C]-56984.4[/C][C]-69131.9[/C][/ROW]
[ROW][C]60[/C][C]3246997[/C][C]3277240[/C][C]3232740[/C][C]44493.9[/C][C]-30241.5[/C][/ROW]
[ROW][C]61[/C][C]3359044[/C][C]3315000[/C][C]3203200[/C][C]111798[/C][C]44041[/C][/ROW]
[ROW][C]62[/C][C]3197649[/C][C]3181230[/C][C]3174170[/C][C]7069.77[/C][C]16414.2[/C][/ROW]
[ROW][C]63[/C][C]3197649[/C][C]3135960[/C][C]3144070[/C][C]-8113.63[/C][C]61693.7[/C][/ROW]
[ROW][C]64[/C][C]3197649[/C][C]3128100[/C][C]3112920[/C][C]15185.7[/C][C]69546.7[/C][/ROW]
[ROW][C]65[/C][C]3284346[/C][C]3273460[/C][C]3084380[/C][C]189084[/C][C]10884.9[/C][/ROW]
[ROW][C]66[/C][C]3160469[/C][C]3206670[/C][C]3058450[/C][C]148223[/C][C]-46203.4[/C][/ROW]
[ROW][C]67[/C][C]2997891[/C][C]3013560[/C][C]3029960[/C][C]-16397.8[/C][C]-15670[/C][/ROW]
[ROW][C]68[/C][C]2861846[/C][C]2849930[/C][C]2998860[/C][C]-148929[/C][C]11919.3[/C][/ROW]
[ROW][C]69[/C][C]2960542[/C][C]2958900[/C][C]2969260[/C][C]-10363.8[/C][C]1646.25[/C][/ROW]
[ROW][C]70[/C][C]2575222[/C][C]2663550[/C][C]2938610[/C][C]-275066[/C][C]-88325.9[/C][/ROW]
[ROW][C]71[/C][C]2811315[/C][C]2851030[/C][C]2908020[/C][C]-56984.4[/C][C]-39718.8[/C][/ROW]
[ROW][C]72[/C][C]2948543[/C][C]2925010[/C][C]2880520[/C][C]44493.9[/C][C]23528.6[/C][/ROW]
[ROW][C]73[/C][C]2973724[/C][C]2965880[/C][C]2854080[/C][C]111798[/C][C]7846.83[/C][/ROW]
[ROW][C]74[/C][C]2836496[/C][C]2834710[/C][C]2827640[/C][C]7069.77[/C][C]1781.61[/C][/ROW]
[ROW][C]75[/C][C]2848495[/C][C]2798260[/C][C]2806370[/C][C]-8113.63[/C][C]50236.9[/C][/ROW]
[ROW][C]76[/C][C]2811315[/C][C]2801890[/C][C]2786700[/C][C]15185.7[/C][C]9424.94[/C][/ROW]
[ROW][C]77[/C][C]2936375[/C][C]2955620[/C][C]2766540[/C][C]189084[/C][C]-19246.4[/C][/ROW]
[ROW][C]78[/C][C]2848495[/C][C]2897150[/C][C]2748930[/C][C]148223[/C][C]-48653.9[/C][/ROW]
[ROW][C]79[/C][C]2675270[/C][C]2713820[/C][C]2730220[/C][C]-16397.8[/C][C]-38548.4[/C][/ROW]
[ROW][C]80[/C][C]2550041[/C][C]2560520[/C][C]2709450[/C][C]-148929[/C][C]-10480.3[/C][/ROW]
[ROW][C]81[/C][C]2761798[/C][C]2670600[/C][C]2680960[/C][C]-10363.8[/C][C]91202.2[/C][/ROW]
[ROW][C]82[/C][C]2301949[/C][C]2371730[/C][C]2646800[/C][C]-275066[/C][C]-69785.2[/C][/ROW]
[ROW][C]83[/C][C]2600572[/C][C]2557160[/C][C]2614150[/C][C]-56984.4[/C][C]43408[/C][/ROW]
[ROW][C]84[/C][C]2736617[/C][C]2624940[/C][C]2580450[/C][C]44493.9[/C][C]111676[/C][/ROW]
[ROW][C]85[/C][C]2736617[/C][C]2654420[/C][C]2542630[/C][C]111798[/C][C]82192.7[/C][/ROW]
[ROW][C]86[/C][C]2575222[/C][C]2507710[/C][C]2500640[/C][C]7069.77[/C][C]67515.6[/C][/ROW]
[ROW][C]87[/C][C]2425995[/C][C]2447430[/C][C]2455540[/C][C]-8113.63[/C][C]-21433.2[/C][/ROW]
[ROW][C]88[/C][C]2413996[/C][C]2426140[/C][C]2410950[/C][C]15185.7[/C][C]-12143.7[/C][/ROW]
[ROW][C]89[/C][C]2550041[/C][C]2560610[/C][C]2371530[/C][C]189084[/C][C]-10571[/C][/ROW]
[ROW][C]90[/C][C]2425995[/C][C]2486040[/C][C]2337810[/C][C]148223[/C][C]-60040.3[/C][/ROW]
[ROW][C]91[/C][C]2190071[/C][C]2292920[/C][C]2309310[/C][C]-16397.8[/C][C]-102846[/C][/ROW]
[ROW][C]92[/C][C]2027493[/C][C]2135510[/C][C]2284440[/C][C]-148929[/C][C]-108014[/C][/ROW]
[ROW][C]93[/C][C]2202070[/C][C]2249190[/C][C]2259560[/C][C]-10363.8[/C][C]-47124.3[/C][/ROW]
[ROW][C]94[/C][C]1791569[/C][C]1964280[/C][C]2239340[/C][C]-275066[/C][C]-172706[/C][/ROW]
[ROW][C]95[/C][C]2164721[/C][C]2164200[/C][C]2221180[/C][C]-56984.4[/C][C]524.278[/C][/ROW]
[ROW][C]96[/C][C]2363296[/C][C]2247510[/C][C]2203020[/C][C]44493.9[/C][C]115781[/C][/ROW]
[ROW][C]97[/C][C]2425995[/C][C]2294550[/C][C]2182750[/C][C]111798[/C][C]131449[/C][/ROW]
[ROW][C]98[/C][C]2288767[/C][C]2163380[/C][C]2156310[/C][C]7069.77[/C][C]125391[/C][/ROW]
[ROW][C]99[/C][C]2115373[/C][C]2119190[/C][C]2127310[/C][C]-8113.63[/C][C]-3821.99[/C][/ROW]
[ROW][C]100[/C][C]2239419[/C][C]2112940[/C][C]2097750[/C][C]15185.7[/C][C]126479[/C][/ROW]
[ROW][C]101[/C][C]2288767[/C][C]2259350[/C][C]2070260[/C][C]189084[/C][C]29418.6[/C][/ROW]
[ROW][C]102[/C][C]2251418[/C][C]2188950[/C][C]2040720[/C][C]148223[/C][C]62470.6[/C][/ROW]
[ROW][C]103[/C][C]1878097[/C][C]1994280[/C][C]2010680[/C][C]-16397.8[/C][C]-116183[/C][/ROW]
[ROW][C]104[/C][C]1704872[/C][C]1831690[/C][C]1980620[/C][C]-148929[/C][C]-126823[/C][/ROW]
[ROW][C]105[/C][C]1828749[/C][C]1938100[/C][C]1948460[/C][C]-10363.8[/C][C]-109352[/C][/ROW]
[ROW][C]106[/C][C]1455597[/C][C]1640180[/C][C]1915250[/C][C]-275066[/C][C]-184585[/C][/ROW]
[ROW][C]107[/C][C]1840917[/C][C]1824040[/C][C]1881030[/C][C]-56984.4[/C][C]16875[/C][/ROW]
[ROW][C]108[/C][C]1978145[/C][C]1888740[/C][C]1844250[/C][C]44493.9[/C][C]89403.4[/C][/ROW]
[ROW][C]109[/C][C]2090023[/C][C]1916720[/C][C]1804920[/C][C]111798[/C][C]173305[/C][/ROW]
[ROW][C]110[/C][C]1903447[/C][C]1773110[/C][C]1766040[/C][C]7069.77[/C][C]130334[/C][/ROW]
[ROW][C]111[/C][C]1728870[/C][C]1720550[/C][C]1728670[/C][C]-8113.63[/C][C]8317.84[/C][/ROW]
[ROW][C]112[/C][C]1828749[/C][C]1705970[/C][C]1690790[/C][C]15185.7[/C][C]122775[/C][/ROW]
[ROW][C]113[/C][C]1878097[/C][C]1843050[/C][C]1653960[/C][C]189084[/C][C]35051.9[/C][/ROW]
[ROW][C]114[/C][C]1779401[/C][C]1773690[/C][C]1625460[/C][C]148223[/C][C]5714.77[/C][/ROW]
[ROW][C]115[/C][C]1406249[/C][C]NA[/C][C]NA[/C][C]-16397.8[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]1243671[/C][C]NA[/C][C]NA[/C][C]-148929[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]1392898[/C][C]NA[/C][C]NA[/C][C]-10363.8[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]982397[/C][C]NA[/C][C]NA[/C][C]-275066[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]1430247[/C][C]NA[/C][C]NA[/C][C]-56984.4[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]1704872[/C][C]NA[/C][C]NA[/C][C]44493.9[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279959&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279959&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13221816NANA111798NA
23209817NANA7069.77NA
33197649NANA-8113.63NA
43172468NANA15185.7NA
53421574NANA189084NA
63408392NANA148223NA
7322181631854703201870-16397.836346.8
8309777030503303199250-14892947444.5
9310976931862903196650-10363.8-76516.2
10310976929169203191990-275066192848
11312312031318903188880-56984.4-8770.72
1231471183235970319148044493.9-88856.4
13318446733131603201360111798-128691
143184467322087032138007069.77-36405.4
15316046932186403226750-8113.63-58169.6
1630977703252830323765015185.7-155061
17342157434345003245420189084-12930
1834709223402970325475014822367949
19339639332471803263580-16397.8149211
20322181631203703269300-148929101447
21329651432636003273960-10363.832918.3
22318446730040503279120-275066180412
23323499832241903281180-56984.410805.1
2432591653327230328273044493.9-68062.3
25328434633976403285850111798-113298
263221816329758032905107069.77-75768.3
27323499832917303299840-8113.63-56733.1
2831471183325410331022015185.7-178292
29342157435117503322670189084-90177.1
3035082713485940333771014822322333.1
31343374233353603351760-16397.898383.9
32329651432142603363190-14892982251.4
33344574133668203377180-10363.878921.5
34328434631249403400010-275066159407
35343374233669003423880-56984.466842.7
3634215743484430343994044493.9-62858.5
37345892335569103445110111798-97982.4
383321695345373034466607069.77-132031
39347092234411403449250-8113.6329780.8
4034589233465490345030015185.7-6566.68
4136828483638880344980018908443966.7
4236323173598520345030014822333796.9
43343374234364603452860-16397.8-2720.37
44333369433081003457030-14892925594.2
45347092234482303458590-10363.822693.8
46328434631834803458550-275066100863
47342157433999703456950-56984.421607
4834457413493670344918044493.9-47930.2
49349627235526903440900111798-56422.5
503384394343919034321207069.77-54791.1
51344574134131703421290-8113.6332569.3
5234830903416810340162015185.766279.4
5336203183564270337519018908456043.1
543508271350320033549701482235073.98
55335904433245803340980-16397.834466.7
56319764931785503327480-14892919101.8
57334704532989903309360-10363.848050.8
58293637530120603287130-275066-75686.1
59313511932042503261240-56984.4-69131.9
6032469973277240323274044493.9-30241.5
6133590443315000320320011179844041
623197649318123031741707069.7716414.2
63319764931359603144070-8113.6361693.7
6431976493128100311292015185.769546.7
6532843463273460308438018908410884.9
66316046932066703058450148223-46203.4
67299789130135603029960-16397.8-15670
68286184628499302998860-14892911919.3
69296054229589002969260-10363.81646.25
70257522226635502938610-275066-88325.9
71281131528510302908020-56984.4-39718.8
7229485432925010288052044493.923528.6
732973724296588028540801117987846.83
742836496283471028276407069.771781.61
75284849527982602806370-8113.6350236.9
7628113152801890278670015185.79424.94
77293637529556202766540189084-19246.4
78284849528971502748930148223-48653.9
79267527027138202730220-16397.8-38548.4
80255004125605202709450-148929-10480.3
81276179826706002680960-10363.891202.2
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Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')