Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 15 Aug 2016 22:10:18 +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/Aug/15/t1471295475j02v8oo250k5gqy.htm/, Retrieved Sat, 27 Apr 2024 17:23:51 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 27 Apr 2024 17:23:51 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
3441
3431
3420
3400
3606
3596
3441
3338
3348
3348
3358
3379
3441
3472
3524
3565
3751
3730
3575
3348
3389
3431
3420
3472
3431
3503
3534
3544
3772
3730
3575
3348
3389
3358
3410
3524
3513
3493
3544
3575
3751
3761
3575
3307
3286
3348
3296
3462
3462
3400
3482
3534
3710
3761
3544
3286
3286
3203
3141
3276
3224
3100
3183
3255
3472
3555
3327
3162
3162
3100
3059
3141
3038
3017
3069
3141
3358
3400
3131
2935
2842
2749
2697
2800
2738
2749
2800
2842
3048
3079
2749
2594
2439
2335
2263
2366
2315
2397
2428
2459
2594
2676
2263
2160
1901
1736
1684
1829
1746
1850
1850
1860
1984
2067
1664
1519
1281
1126
1044
1250




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13441NANA-83.0027NA
23431NANA-58.2434NA
33420NANA7.85841NA
43400NANA67.826NA
53606NANA273.826NA
63596NANA329.84NA
734413506.263425.580.7566-65.2566
833383334.023427.21-93.18793.97955
933483306.213433.25-127.04441.7944
1033483283.593444.46-160.86864.4101
1133583280.033457.37-177.34177.9657
1233793408.583469-60.4194-29.5806
1334413397.163480.17-83.002743.836
1434723427.923486.17-58.243444.0768
1535243496.153488.297.8584127.8499
1635653561.283493.4667.8263.71566
1737513773.333499.5273.826-22.326
1837303835.83505.96329.84-105.798
1935753590.173509.4280.7566-15.1732
2033483417.13510.29-93.1879-69.1038
2133893384.963512-127.0444.04437
2234313350.673511.54-160.86880.3268
2334203334.23511.54-177.34185.799
24347234523512.42-60.419420.0027
2534313429.413512.42-83.00271.58603
2635033454.173512.42-58.243448.8268
2735343520.283512.427.8584113.7249
2835443577.23509.3867.826-33.201
2937723779.743505.92273.826-7.74267
3037303837.513507.67329.84-107.507
3135753594.013513.2580.7566-19.0066
3233483423.063516.25-93.1879-75.0621
3333893389.213516.25-127.044-0.205633
3433583357.093517.96-160.8680.910108
3534103341.033518.37-177.34168.9657
3635243458.373518.79-60.419465.6277
3735133437.083520.08-83.002775.9194
3834933460.133518.37-58.243432.8684
3935443520.233512.377.8584123.7666
4035753575.493507.6767.826-0.49267
4137513776.333502.5273.826-25.326
4237613825.013495.17329.84-64.0066
4335753571.213490.4680.75663.78511
4433073391.273484.46-93.1879-84.2704
4532863350.963478-127.044-64.9556
4633483312.843473.71-160.86835.1601
4732963292.953470.29-177.3413.049
4834623408.163468.58-60.419453.836
4934623384.293467.29-83.002777.711
5034003406.883465.12-58.2434-6.88156
5134823472.113464.257.858419.89159
5235343526.033458.2167.8267.96566
5337103719.533445.71273.826-9.53434
5437613761.343431.5329.84-0.339892
5535443494.593413.8380.756649.4101
5632863298.233391.42-93.1879-12.2288
5732863239.413366.46-127.04446.586
5832033181.513342.37-160.86821.4934
5931413143.493320.83-177.341-2.49267
6032763241.913302.33-60.419434.086
6132243201.713284.71-83.002722.2944
6231003212.263270.5-58.2434-112.257
6331833268.033260.177.85841-85.0251
6432553318.533250.7167.826-63.5343
6534723516.833243273.826-44.826
6635553563.83233.96329.84-8.79823
6733273301.343220.5880.756625.6601
6831623116.193209.38-93.187945.8129
6931623074.123201.17-127.04487.8777
7031003030.83191.67-160.86869.2018
7130593004.833182.17-177.34154.174
7231413110.543170.96-60.419430.461
7330383073.333156.33-83.0027-35.3306
7430173080.463138.71-58.2434-63.4649
7530693123.783115.927.85841-54.7751
7631413155.783087.9667.826-14.7843
7733583332.083058.25273.82625.924
7834003358.83028.96329.8441.2018
7931313083.013002.2580.756647.9934
8029352885.42978.58-93.187949.6046
8128422829.162956.21-127.04412.836
8227492771.672932.54-160.868-22.6732
8326972729.832907.17-177.341-32.826
8428002820.462880.87-60.4194-20.4556
8527382768.582851.58-83.0027-30.5806
8627492763.212821.46-58.2434-14.2149
8728002798.322790.467.858411.68326
8828422824.242756.4267.82617.7573
8930482994.912721.08273.82653.0907
9030793014.762684.92329.8464.2434
9127492729.962649.2180.756619.0351
9225942523.732616.92-93.187970.2712
9324392459.712586.75-127.044-20.7056
9423352394.422555.29-160.868-59.4232
9522632343.082520.42-177.341-80.076
9623662424.292484.71-60.4194-58.289
9723152364.662447.67-83.0027-49.664
9823972351.092409.33-58.243445.9101
9924282376.692368.837.8584151.3083
10024592389.282321.4667.82669.7157
10125942546.22272.38273.82647.799
10226762555.712225.88329.84120.285
10322632260.552179.7980.75662.45177
10421602040.12133.29-93.1879119.896
10519011959.372086.42-127.044-58.3723
10617361876.512037.37-160.868-140.507
10716841809.661987-177.341-125.659
10818291875.791936.21-60.4194-46.789
10917461802.871885.88-83.0027-56.8723
11018501775.961834.21-58.243474.0351
11118501789.531781.677.8584160.4749
11218601798.241730.4267.82661.7573
11319841952.161678.33273.82631.8407
11420671957.381627.54329.84109.618
1151664NANA80.7566NA
1161519NANA-93.1879NA
1171281NANA-127.044NA
1181126NANA-160.868NA
1191044NANA-177.341NA
1201250NANA-60.4194NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3441 & NA & NA & -83.0027 & NA \tabularnewline
2 & 3431 & NA & NA & -58.2434 & NA \tabularnewline
3 & 3420 & NA & NA & 7.85841 & NA \tabularnewline
4 & 3400 & NA & NA & 67.826 & NA \tabularnewline
5 & 3606 & NA & NA & 273.826 & NA \tabularnewline
6 & 3596 & NA & NA & 329.84 & NA \tabularnewline
7 & 3441 & 3506.26 & 3425.5 & 80.7566 & -65.2566 \tabularnewline
8 & 3338 & 3334.02 & 3427.21 & -93.1879 & 3.97955 \tabularnewline
9 & 3348 & 3306.21 & 3433.25 & -127.044 & 41.7944 \tabularnewline
10 & 3348 & 3283.59 & 3444.46 & -160.868 & 64.4101 \tabularnewline
11 & 3358 & 3280.03 & 3457.37 & -177.341 & 77.9657 \tabularnewline
12 & 3379 & 3408.58 & 3469 & -60.4194 & -29.5806 \tabularnewline
13 & 3441 & 3397.16 & 3480.17 & -83.0027 & 43.836 \tabularnewline
14 & 3472 & 3427.92 & 3486.17 & -58.2434 & 44.0768 \tabularnewline
15 & 3524 & 3496.15 & 3488.29 & 7.85841 & 27.8499 \tabularnewline
16 & 3565 & 3561.28 & 3493.46 & 67.826 & 3.71566 \tabularnewline
17 & 3751 & 3773.33 & 3499.5 & 273.826 & -22.326 \tabularnewline
18 & 3730 & 3835.8 & 3505.96 & 329.84 & -105.798 \tabularnewline
19 & 3575 & 3590.17 & 3509.42 & 80.7566 & -15.1732 \tabularnewline
20 & 3348 & 3417.1 & 3510.29 & -93.1879 & -69.1038 \tabularnewline
21 & 3389 & 3384.96 & 3512 & -127.044 & 4.04437 \tabularnewline
22 & 3431 & 3350.67 & 3511.54 & -160.868 & 80.3268 \tabularnewline
23 & 3420 & 3334.2 & 3511.54 & -177.341 & 85.799 \tabularnewline
24 & 3472 & 3452 & 3512.42 & -60.4194 & 20.0027 \tabularnewline
25 & 3431 & 3429.41 & 3512.42 & -83.0027 & 1.58603 \tabularnewline
26 & 3503 & 3454.17 & 3512.42 & -58.2434 & 48.8268 \tabularnewline
27 & 3534 & 3520.28 & 3512.42 & 7.85841 & 13.7249 \tabularnewline
28 & 3544 & 3577.2 & 3509.38 & 67.826 & -33.201 \tabularnewline
29 & 3772 & 3779.74 & 3505.92 & 273.826 & -7.74267 \tabularnewline
30 & 3730 & 3837.51 & 3507.67 & 329.84 & -107.507 \tabularnewline
31 & 3575 & 3594.01 & 3513.25 & 80.7566 & -19.0066 \tabularnewline
32 & 3348 & 3423.06 & 3516.25 & -93.1879 & -75.0621 \tabularnewline
33 & 3389 & 3389.21 & 3516.25 & -127.044 & -0.205633 \tabularnewline
34 & 3358 & 3357.09 & 3517.96 & -160.868 & 0.910108 \tabularnewline
35 & 3410 & 3341.03 & 3518.37 & -177.341 & 68.9657 \tabularnewline
36 & 3524 & 3458.37 & 3518.79 & -60.4194 & 65.6277 \tabularnewline
37 & 3513 & 3437.08 & 3520.08 & -83.0027 & 75.9194 \tabularnewline
38 & 3493 & 3460.13 & 3518.37 & -58.2434 & 32.8684 \tabularnewline
39 & 3544 & 3520.23 & 3512.37 & 7.85841 & 23.7666 \tabularnewline
40 & 3575 & 3575.49 & 3507.67 & 67.826 & -0.49267 \tabularnewline
41 & 3751 & 3776.33 & 3502.5 & 273.826 & -25.326 \tabularnewline
42 & 3761 & 3825.01 & 3495.17 & 329.84 & -64.0066 \tabularnewline
43 & 3575 & 3571.21 & 3490.46 & 80.7566 & 3.78511 \tabularnewline
44 & 3307 & 3391.27 & 3484.46 & -93.1879 & -84.2704 \tabularnewline
45 & 3286 & 3350.96 & 3478 & -127.044 & -64.9556 \tabularnewline
46 & 3348 & 3312.84 & 3473.71 & -160.868 & 35.1601 \tabularnewline
47 & 3296 & 3292.95 & 3470.29 & -177.341 & 3.049 \tabularnewline
48 & 3462 & 3408.16 & 3468.58 & -60.4194 & 53.836 \tabularnewline
49 & 3462 & 3384.29 & 3467.29 & -83.0027 & 77.711 \tabularnewline
50 & 3400 & 3406.88 & 3465.12 & -58.2434 & -6.88156 \tabularnewline
51 & 3482 & 3472.11 & 3464.25 & 7.85841 & 9.89159 \tabularnewline
52 & 3534 & 3526.03 & 3458.21 & 67.826 & 7.96566 \tabularnewline
53 & 3710 & 3719.53 & 3445.71 & 273.826 & -9.53434 \tabularnewline
54 & 3761 & 3761.34 & 3431.5 & 329.84 & -0.339892 \tabularnewline
55 & 3544 & 3494.59 & 3413.83 & 80.7566 & 49.4101 \tabularnewline
56 & 3286 & 3298.23 & 3391.42 & -93.1879 & -12.2288 \tabularnewline
57 & 3286 & 3239.41 & 3366.46 & -127.044 & 46.586 \tabularnewline
58 & 3203 & 3181.51 & 3342.37 & -160.868 & 21.4934 \tabularnewline
59 & 3141 & 3143.49 & 3320.83 & -177.341 & -2.49267 \tabularnewline
60 & 3276 & 3241.91 & 3302.33 & -60.4194 & 34.086 \tabularnewline
61 & 3224 & 3201.71 & 3284.71 & -83.0027 & 22.2944 \tabularnewline
62 & 3100 & 3212.26 & 3270.5 & -58.2434 & -112.257 \tabularnewline
63 & 3183 & 3268.03 & 3260.17 & 7.85841 & -85.0251 \tabularnewline
64 & 3255 & 3318.53 & 3250.71 & 67.826 & -63.5343 \tabularnewline
65 & 3472 & 3516.83 & 3243 & 273.826 & -44.826 \tabularnewline
66 & 3555 & 3563.8 & 3233.96 & 329.84 & -8.79823 \tabularnewline
67 & 3327 & 3301.34 & 3220.58 & 80.7566 & 25.6601 \tabularnewline
68 & 3162 & 3116.19 & 3209.38 & -93.1879 & 45.8129 \tabularnewline
69 & 3162 & 3074.12 & 3201.17 & -127.044 & 87.8777 \tabularnewline
70 & 3100 & 3030.8 & 3191.67 & -160.868 & 69.2018 \tabularnewline
71 & 3059 & 3004.83 & 3182.17 & -177.341 & 54.174 \tabularnewline
72 & 3141 & 3110.54 & 3170.96 & -60.4194 & 30.461 \tabularnewline
73 & 3038 & 3073.33 & 3156.33 & -83.0027 & -35.3306 \tabularnewline
74 & 3017 & 3080.46 & 3138.71 & -58.2434 & -63.4649 \tabularnewline
75 & 3069 & 3123.78 & 3115.92 & 7.85841 & -54.7751 \tabularnewline
76 & 3141 & 3155.78 & 3087.96 & 67.826 & -14.7843 \tabularnewline
77 & 3358 & 3332.08 & 3058.25 & 273.826 & 25.924 \tabularnewline
78 & 3400 & 3358.8 & 3028.96 & 329.84 & 41.2018 \tabularnewline
79 & 3131 & 3083.01 & 3002.25 & 80.7566 & 47.9934 \tabularnewline
80 & 2935 & 2885.4 & 2978.58 & -93.1879 & 49.6046 \tabularnewline
81 & 2842 & 2829.16 & 2956.21 & -127.044 & 12.836 \tabularnewline
82 & 2749 & 2771.67 & 2932.54 & -160.868 & -22.6732 \tabularnewline
83 & 2697 & 2729.83 & 2907.17 & -177.341 & -32.826 \tabularnewline
84 & 2800 & 2820.46 & 2880.87 & -60.4194 & -20.4556 \tabularnewline
85 & 2738 & 2768.58 & 2851.58 & -83.0027 & -30.5806 \tabularnewline
86 & 2749 & 2763.21 & 2821.46 & -58.2434 & -14.2149 \tabularnewline
87 & 2800 & 2798.32 & 2790.46 & 7.85841 & 1.68326 \tabularnewline
88 & 2842 & 2824.24 & 2756.42 & 67.826 & 17.7573 \tabularnewline
89 & 3048 & 2994.91 & 2721.08 & 273.826 & 53.0907 \tabularnewline
90 & 3079 & 3014.76 & 2684.92 & 329.84 & 64.2434 \tabularnewline
91 & 2749 & 2729.96 & 2649.21 & 80.7566 & 19.0351 \tabularnewline
92 & 2594 & 2523.73 & 2616.92 & -93.1879 & 70.2712 \tabularnewline
93 & 2439 & 2459.71 & 2586.75 & -127.044 & -20.7056 \tabularnewline
94 & 2335 & 2394.42 & 2555.29 & -160.868 & -59.4232 \tabularnewline
95 & 2263 & 2343.08 & 2520.42 & -177.341 & -80.076 \tabularnewline
96 & 2366 & 2424.29 & 2484.71 & -60.4194 & -58.289 \tabularnewline
97 & 2315 & 2364.66 & 2447.67 & -83.0027 & -49.664 \tabularnewline
98 & 2397 & 2351.09 & 2409.33 & -58.2434 & 45.9101 \tabularnewline
99 & 2428 & 2376.69 & 2368.83 & 7.85841 & 51.3083 \tabularnewline
100 & 2459 & 2389.28 & 2321.46 & 67.826 & 69.7157 \tabularnewline
101 & 2594 & 2546.2 & 2272.38 & 273.826 & 47.799 \tabularnewline
102 & 2676 & 2555.71 & 2225.88 & 329.84 & 120.285 \tabularnewline
103 & 2263 & 2260.55 & 2179.79 & 80.7566 & 2.45177 \tabularnewline
104 & 2160 & 2040.1 & 2133.29 & -93.1879 & 119.896 \tabularnewline
105 & 1901 & 1959.37 & 2086.42 & -127.044 & -58.3723 \tabularnewline
106 & 1736 & 1876.51 & 2037.37 & -160.868 & -140.507 \tabularnewline
107 & 1684 & 1809.66 & 1987 & -177.341 & -125.659 \tabularnewline
108 & 1829 & 1875.79 & 1936.21 & -60.4194 & -46.789 \tabularnewline
109 & 1746 & 1802.87 & 1885.88 & -83.0027 & -56.8723 \tabularnewline
110 & 1850 & 1775.96 & 1834.21 & -58.2434 & 74.0351 \tabularnewline
111 & 1850 & 1789.53 & 1781.67 & 7.85841 & 60.4749 \tabularnewline
112 & 1860 & 1798.24 & 1730.42 & 67.826 & 61.7573 \tabularnewline
113 & 1984 & 1952.16 & 1678.33 & 273.826 & 31.8407 \tabularnewline
114 & 2067 & 1957.38 & 1627.54 & 329.84 & 109.618 \tabularnewline
115 & 1664 & NA & NA & 80.7566 & NA \tabularnewline
116 & 1519 & NA & NA & -93.1879 & NA \tabularnewline
117 & 1281 & NA & NA & -127.044 & NA \tabularnewline
118 & 1126 & NA & NA & -160.868 & NA \tabularnewline
119 & 1044 & NA & NA & -177.341 & NA \tabularnewline
120 & 1250 & NA & NA & -60.4194 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]3441[/C][C]NA[/C][C]NA[/C][C]-83.0027[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]3431[/C][C]NA[/C][C]NA[/C][C]-58.2434[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3420[/C][C]NA[/C][C]NA[/C][C]7.85841[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3400[/C][C]NA[/C][C]NA[/C][C]67.826[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]3606[/C][C]NA[/C][C]NA[/C][C]273.826[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]3596[/C][C]NA[/C][C]NA[/C][C]329.84[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3441[/C][C]3506.26[/C][C]3425.5[/C][C]80.7566[/C][C]-65.2566[/C][/ROW]
[ROW][C]8[/C][C]3338[/C][C]3334.02[/C][C]3427.21[/C][C]-93.1879[/C][C]3.97955[/C][/ROW]
[ROW][C]9[/C][C]3348[/C][C]3306.21[/C][C]3433.25[/C][C]-127.044[/C][C]41.7944[/C][/ROW]
[ROW][C]10[/C][C]3348[/C][C]3283.59[/C][C]3444.46[/C][C]-160.868[/C][C]64.4101[/C][/ROW]
[ROW][C]11[/C][C]3358[/C][C]3280.03[/C][C]3457.37[/C][C]-177.341[/C][C]77.9657[/C][/ROW]
[ROW][C]12[/C][C]3379[/C][C]3408.58[/C][C]3469[/C][C]-60.4194[/C][C]-29.5806[/C][/ROW]
[ROW][C]13[/C][C]3441[/C][C]3397.16[/C][C]3480.17[/C][C]-83.0027[/C][C]43.836[/C][/ROW]
[ROW][C]14[/C][C]3472[/C][C]3427.92[/C][C]3486.17[/C][C]-58.2434[/C][C]44.0768[/C][/ROW]
[ROW][C]15[/C][C]3524[/C][C]3496.15[/C][C]3488.29[/C][C]7.85841[/C][C]27.8499[/C][/ROW]
[ROW][C]16[/C][C]3565[/C][C]3561.28[/C][C]3493.46[/C][C]67.826[/C][C]3.71566[/C][/ROW]
[ROW][C]17[/C][C]3751[/C][C]3773.33[/C][C]3499.5[/C][C]273.826[/C][C]-22.326[/C][/ROW]
[ROW][C]18[/C][C]3730[/C][C]3835.8[/C][C]3505.96[/C][C]329.84[/C][C]-105.798[/C][/ROW]
[ROW][C]19[/C][C]3575[/C][C]3590.17[/C][C]3509.42[/C][C]80.7566[/C][C]-15.1732[/C][/ROW]
[ROW][C]20[/C][C]3348[/C][C]3417.1[/C][C]3510.29[/C][C]-93.1879[/C][C]-69.1038[/C][/ROW]
[ROW][C]21[/C][C]3389[/C][C]3384.96[/C][C]3512[/C][C]-127.044[/C][C]4.04437[/C][/ROW]
[ROW][C]22[/C][C]3431[/C][C]3350.67[/C][C]3511.54[/C][C]-160.868[/C][C]80.3268[/C][/ROW]
[ROW][C]23[/C][C]3420[/C][C]3334.2[/C][C]3511.54[/C][C]-177.341[/C][C]85.799[/C][/ROW]
[ROW][C]24[/C][C]3472[/C][C]3452[/C][C]3512.42[/C][C]-60.4194[/C][C]20.0027[/C][/ROW]
[ROW][C]25[/C][C]3431[/C][C]3429.41[/C][C]3512.42[/C][C]-83.0027[/C][C]1.58603[/C][/ROW]
[ROW][C]26[/C][C]3503[/C][C]3454.17[/C][C]3512.42[/C][C]-58.2434[/C][C]48.8268[/C][/ROW]
[ROW][C]27[/C][C]3534[/C][C]3520.28[/C][C]3512.42[/C][C]7.85841[/C][C]13.7249[/C][/ROW]
[ROW][C]28[/C][C]3544[/C][C]3577.2[/C][C]3509.38[/C][C]67.826[/C][C]-33.201[/C][/ROW]
[ROW][C]29[/C][C]3772[/C][C]3779.74[/C][C]3505.92[/C][C]273.826[/C][C]-7.74267[/C][/ROW]
[ROW][C]30[/C][C]3730[/C][C]3837.51[/C][C]3507.67[/C][C]329.84[/C][C]-107.507[/C][/ROW]
[ROW][C]31[/C][C]3575[/C][C]3594.01[/C][C]3513.25[/C][C]80.7566[/C][C]-19.0066[/C][/ROW]
[ROW][C]32[/C][C]3348[/C][C]3423.06[/C][C]3516.25[/C][C]-93.1879[/C][C]-75.0621[/C][/ROW]
[ROW][C]33[/C][C]3389[/C][C]3389.21[/C][C]3516.25[/C][C]-127.044[/C][C]-0.205633[/C][/ROW]
[ROW][C]34[/C][C]3358[/C][C]3357.09[/C][C]3517.96[/C][C]-160.868[/C][C]0.910108[/C][/ROW]
[ROW][C]35[/C][C]3410[/C][C]3341.03[/C][C]3518.37[/C][C]-177.341[/C][C]68.9657[/C][/ROW]
[ROW][C]36[/C][C]3524[/C][C]3458.37[/C][C]3518.79[/C][C]-60.4194[/C][C]65.6277[/C][/ROW]
[ROW][C]37[/C][C]3513[/C][C]3437.08[/C][C]3520.08[/C][C]-83.0027[/C][C]75.9194[/C][/ROW]
[ROW][C]38[/C][C]3493[/C][C]3460.13[/C][C]3518.37[/C][C]-58.2434[/C][C]32.8684[/C][/ROW]
[ROW][C]39[/C][C]3544[/C][C]3520.23[/C][C]3512.37[/C][C]7.85841[/C][C]23.7666[/C][/ROW]
[ROW][C]40[/C][C]3575[/C][C]3575.49[/C][C]3507.67[/C][C]67.826[/C][C]-0.49267[/C][/ROW]
[ROW][C]41[/C][C]3751[/C][C]3776.33[/C][C]3502.5[/C][C]273.826[/C][C]-25.326[/C][/ROW]
[ROW][C]42[/C][C]3761[/C][C]3825.01[/C][C]3495.17[/C][C]329.84[/C][C]-64.0066[/C][/ROW]
[ROW][C]43[/C][C]3575[/C][C]3571.21[/C][C]3490.46[/C][C]80.7566[/C][C]3.78511[/C][/ROW]
[ROW][C]44[/C][C]3307[/C][C]3391.27[/C][C]3484.46[/C][C]-93.1879[/C][C]-84.2704[/C][/ROW]
[ROW][C]45[/C][C]3286[/C][C]3350.96[/C][C]3478[/C][C]-127.044[/C][C]-64.9556[/C][/ROW]
[ROW][C]46[/C][C]3348[/C][C]3312.84[/C][C]3473.71[/C][C]-160.868[/C][C]35.1601[/C][/ROW]
[ROW][C]47[/C][C]3296[/C][C]3292.95[/C][C]3470.29[/C][C]-177.341[/C][C]3.049[/C][/ROW]
[ROW][C]48[/C][C]3462[/C][C]3408.16[/C][C]3468.58[/C][C]-60.4194[/C][C]53.836[/C][/ROW]
[ROW][C]49[/C][C]3462[/C][C]3384.29[/C][C]3467.29[/C][C]-83.0027[/C][C]77.711[/C][/ROW]
[ROW][C]50[/C][C]3400[/C][C]3406.88[/C][C]3465.12[/C][C]-58.2434[/C][C]-6.88156[/C][/ROW]
[ROW][C]51[/C][C]3482[/C][C]3472.11[/C][C]3464.25[/C][C]7.85841[/C][C]9.89159[/C][/ROW]
[ROW][C]52[/C][C]3534[/C][C]3526.03[/C][C]3458.21[/C][C]67.826[/C][C]7.96566[/C][/ROW]
[ROW][C]53[/C][C]3710[/C][C]3719.53[/C][C]3445.71[/C][C]273.826[/C][C]-9.53434[/C][/ROW]
[ROW][C]54[/C][C]3761[/C][C]3761.34[/C][C]3431.5[/C][C]329.84[/C][C]-0.339892[/C][/ROW]
[ROW][C]55[/C][C]3544[/C][C]3494.59[/C][C]3413.83[/C][C]80.7566[/C][C]49.4101[/C][/ROW]
[ROW][C]56[/C][C]3286[/C][C]3298.23[/C][C]3391.42[/C][C]-93.1879[/C][C]-12.2288[/C][/ROW]
[ROW][C]57[/C][C]3286[/C][C]3239.41[/C][C]3366.46[/C][C]-127.044[/C][C]46.586[/C][/ROW]
[ROW][C]58[/C][C]3203[/C][C]3181.51[/C][C]3342.37[/C][C]-160.868[/C][C]21.4934[/C][/ROW]
[ROW][C]59[/C][C]3141[/C][C]3143.49[/C][C]3320.83[/C][C]-177.341[/C][C]-2.49267[/C][/ROW]
[ROW][C]60[/C][C]3276[/C][C]3241.91[/C][C]3302.33[/C][C]-60.4194[/C][C]34.086[/C][/ROW]
[ROW][C]61[/C][C]3224[/C][C]3201.71[/C][C]3284.71[/C][C]-83.0027[/C][C]22.2944[/C][/ROW]
[ROW][C]62[/C][C]3100[/C][C]3212.26[/C][C]3270.5[/C][C]-58.2434[/C][C]-112.257[/C][/ROW]
[ROW][C]63[/C][C]3183[/C][C]3268.03[/C][C]3260.17[/C][C]7.85841[/C][C]-85.0251[/C][/ROW]
[ROW][C]64[/C][C]3255[/C][C]3318.53[/C][C]3250.71[/C][C]67.826[/C][C]-63.5343[/C][/ROW]
[ROW][C]65[/C][C]3472[/C][C]3516.83[/C][C]3243[/C][C]273.826[/C][C]-44.826[/C][/ROW]
[ROW][C]66[/C][C]3555[/C][C]3563.8[/C][C]3233.96[/C][C]329.84[/C][C]-8.79823[/C][/ROW]
[ROW][C]67[/C][C]3327[/C][C]3301.34[/C][C]3220.58[/C][C]80.7566[/C][C]25.6601[/C][/ROW]
[ROW][C]68[/C][C]3162[/C][C]3116.19[/C][C]3209.38[/C][C]-93.1879[/C][C]45.8129[/C][/ROW]
[ROW][C]69[/C][C]3162[/C][C]3074.12[/C][C]3201.17[/C][C]-127.044[/C][C]87.8777[/C][/ROW]
[ROW][C]70[/C][C]3100[/C][C]3030.8[/C][C]3191.67[/C][C]-160.868[/C][C]69.2018[/C][/ROW]
[ROW][C]71[/C][C]3059[/C][C]3004.83[/C][C]3182.17[/C][C]-177.341[/C][C]54.174[/C][/ROW]
[ROW][C]72[/C][C]3141[/C][C]3110.54[/C][C]3170.96[/C][C]-60.4194[/C][C]30.461[/C][/ROW]
[ROW][C]73[/C][C]3038[/C][C]3073.33[/C][C]3156.33[/C][C]-83.0027[/C][C]-35.3306[/C][/ROW]
[ROW][C]74[/C][C]3017[/C][C]3080.46[/C][C]3138.71[/C][C]-58.2434[/C][C]-63.4649[/C][/ROW]
[ROW][C]75[/C][C]3069[/C][C]3123.78[/C][C]3115.92[/C][C]7.85841[/C][C]-54.7751[/C][/ROW]
[ROW][C]76[/C][C]3141[/C][C]3155.78[/C][C]3087.96[/C][C]67.826[/C][C]-14.7843[/C][/ROW]
[ROW][C]77[/C][C]3358[/C][C]3332.08[/C][C]3058.25[/C][C]273.826[/C][C]25.924[/C][/ROW]
[ROW][C]78[/C][C]3400[/C][C]3358.8[/C][C]3028.96[/C][C]329.84[/C][C]41.2018[/C][/ROW]
[ROW][C]79[/C][C]3131[/C][C]3083.01[/C][C]3002.25[/C][C]80.7566[/C][C]47.9934[/C][/ROW]
[ROW][C]80[/C][C]2935[/C][C]2885.4[/C][C]2978.58[/C][C]-93.1879[/C][C]49.6046[/C][/ROW]
[ROW][C]81[/C][C]2842[/C][C]2829.16[/C][C]2956.21[/C][C]-127.044[/C][C]12.836[/C][/ROW]
[ROW][C]82[/C][C]2749[/C][C]2771.67[/C][C]2932.54[/C][C]-160.868[/C][C]-22.6732[/C][/ROW]
[ROW][C]83[/C][C]2697[/C][C]2729.83[/C][C]2907.17[/C][C]-177.341[/C][C]-32.826[/C][/ROW]
[ROW][C]84[/C][C]2800[/C][C]2820.46[/C][C]2880.87[/C][C]-60.4194[/C][C]-20.4556[/C][/ROW]
[ROW][C]85[/C][C]2738[/C][C]2768.58[/C][C]2851.58[/C][C]-83.0027[/C][C]-30.5806[/C][/ROW]
[ROW][C]86[/C][C]2749[/C][C]2763.21[/C][C]2821.46[/C][C]-58.2434[/C][C]-14.2149[/C][/ROW]
[ROW][C]87[/C][C]2800[/C][C]2798.32[/C][C]2790.46[/C][C]7.85841[/C][C]1.68326[/C][/ROW]
[ROW][C]88[/C][C]2842[/C][C]2824.24[/C][C]2756.42[/C][C]67.826[/C][C]17.7573[/C][/ROW]
[ROW][C]89[/C][C]3048[/C][C]2994.91[/C][C]2721.08[/C][C]273.826[/C][C]53.0907[/C][/ROW]
[ROW][C]90[/C][C]3079[/C][C]3014.76[/C][C]2684.92[/C][C]329.84[/C][C]64.2434[/C][/ROW]
[ROW][C]91[/C][C]2749[/C][C]2729.96[/C][C]2649.21[/C][C]80.7566[/C][C]19.0351[/C][/ROW]
[ROW][C]92[/C][C]2594[/C][C]2523.73[/C][C]2616.92[/C][C]-93.1879[/C][C]70.2712[/C][/ROW]
[ROW][C]93[/C][C]2439[/C][C]2459.71[/C][C]2586.75[/C][C]-127.044[/C][C]-20.7056[/C][/ROW]
[ROW][C]94[/C][C]2335[/C][C]2394.42[/C][C]2555.29[/C][C]-160.868[/C][C]-59.4232[/C][/ROW]
[ROW][C]95[/C][C]2263[/C][C]2343.08[/C][C]2520.42[/C][C]-177.341[/C][C]-80.076[/C][/ROW]
[ROW][C]96[/C][C]2366[/C][C]2424.29[/C][C]2484.71[/C][C]-60.4194[/C][C]-58.289[/C][/ROW]
[ROW][C]97[/C][C]2315[/C][C]2364.66[/C][C]2447.67[/C][C]-83.0027[/C][C]-49.664[/C][/ROW]
[ROW][C]98[/C][C]2397[/C][C]2351.09[/C][C]2409.33[/C][C]-58.2434[/C][C]45.9101[/C][/ROW]
[ROW][C]99[/C][C]2428[/C][C]2376.69[/C][C]2368.83[/C][C]7.85841[/C][C]51.3083[/C][/ROW]
[ROW][C]100[/C][C]2459[/C][C]2389.28[/C][C]2321.46[/C][C]67.826[/C][C]69.7157[/C][/ROW]
[ROW][C]101[/C][C]2594[/C][C]2546.2[/C][C]2272.38[/C][C]273.826[/C][C]47.799[/C][/ROW]
[ROW][C]102[/C][C]2676[/C][C]2555.71[/C][C]2225.88[/C][C]329.84[/C][C]120.285[/C][/ROW]
[ROW][C]103[/C][C]2263[/C][C]2260.55[/C][C]2179.79[/C][C]80.7566[/C][C]2.45177[/C][/ROW]
[ROW][C]104[/C][C]2160[/C][C]2040.1[/C][C]2133.29[/C][C]-93.1879[/C][C]119.896[/C][/ROW]
[ROW][C]105[/C][C]1901[/C][C]1959.37[/C][C]2086.42[/C][C]-127.044[/C][C]-58.3723[/C][/ROW]
[ROW][C]106[/C][C]1736[/C][C]1876.51[/C][C]2037.37[/C][C]-160.868[/C][C]-140.507[/C][/ROW]
[ROW][C]107[/C][C]1684[/C][C]1809.66[/C][C]1987[/C][C]-177.341[/C][C]-125.659[/C][/ROW]
[ROW][C]108[/C][C]1829[/C][C]1875.79[/C][C]1936.21[/C][C]-60.4194[/C][C]-46.789[/C][/ROW]
[ROW][C]109[/C][C]1746[/C][C]1802.87[/C][C]1885.88[/C][C]-83.0027[/C][C]-56.8723[/C][/ROW]
[ROW][C]110[/C][C]1850[/C][C]1775.96[/C][C]1834.21[/C][C]-58.2434[/C][C]74.0351[/C][/ROW]
[ROW][C]111[/C][C]1850[/C][C]1789.53[/C][C]1781.67[/C][C]7.85841[/C][C]60.4749[/C][/ROW]
[ROW][C]112[/C][C]1860[/C][C]1798.24[/C][C]1730.42[/C][C]67.826[/C][C]61.7573[/C][/ROW]
[ROW][C]113[/C][C]1984[/C][C]1952.16[/C][C]1678.33[/C][C]273.826[/C][C]31.8407[/C][/ROW]
[ROW][C]114[/C][C]2067[/C][C]1957.38[/C][C]1627.54[/C][C]329.84[/C][C]109.618[/C][/ROW]
[ROW][C]115[/C][C]1664[/C][C]NA[/C][C]NA[/C][C]80.7566[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]1519[/C][C]NA[/C][C]NA[/C][C]-93.1879[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]1281[/C][C]NA[/C][C]NA[/C][C]-127.044[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]1126[/C][C]NA[/C][C]NA[/C][C]-160.868[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]1044[/C][C]NA[/C][C]NA[/C][C]-177.341[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]1250[/C][C]NA[/C][C]NA[/C][C]-60.4194[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

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

As an alternative you can also use a QR Code:  

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

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13441NANA-83.0027NA
23431NANA-58.2434NA
33420NANA7.85841NA
43400NANA67.826NA
53606NANA273.826NA
63596NANA329.84NA
734413506.263425.580.7566-65.2566
833383334.023427.21-93.18793.97955
933483306.213433.25-127.04441.7944
1033483283.593444.46-160.86864.4101
1133583280.033457.37-177.34177.9657
1233793408.583469-60.4194-29.5806
1334413397.163480.17-83.002743.836
1434723427.923486.17-58.243444.0768
1535243496.153488.297.8584127.8499
1635653561.283493.4667.8263.71566
1737513773.333499.5273.826-22.326
1837303835.83505.96329.84-105.798
1935753590.173509.4280.7566-15.1732
2033483417.13510.29-93.1879-69.1038
2133893384.963512-127.0444.04437
2234313350.673511.54-160.86880.3268
2334203334.23511.54-177.34185.799
24347234523512.42-60.419420.0027
2534313429.413512.42-83.00271.58603
2635033454.173512.42-58.243448.8268
2735343520.283512.427.8584113.7249
2835443577.23509.3867.826-33.201
2937723779.743505.92273.826-7.74267
3037303837.513507.67329.84-107.507
3135753594.013513.2580.7566-19.0066
3233483423.063516.25-93.1879-75.0621
3333893389.213516.25-127.044-0.205633
3433583357.093517.96-160.8680.910108
3534103341.033518.37-177.34168.9657
3635243458.373518.79-60.419465.6277
3735133437.083520.08-83.002775.9194
3834933460.133518.37-58.243432.8684
3935443520.233512.377.8584123.7666
4035753575.493507.6767.826-0.49267
4137513776.333502.5273.826-25.326
4237613825.013495.17329.84-64.0066
4335753571.213490.4680.75663.78511
4433073391.273484.46-93.1879-84.2704
4532863350.963478-127.044-64.9556
4633483312.843473.71-160.86835.1601
4732963292.953470.29-177.3413.049
4834623408.163468.58-60.419453.836
4934623384.293467.29-83.002777.711
5034003406.883465.12-58.2434-6.88156
5134823472.113464.257.858419.89159
5235343526.033458.2167.8267.96566
5337103719.533445.71273.826-9.53434
5437613761.343431.5329.84-0.339892
5535443494.593413.8380.756649.4101
5632863298.233391.42-93.1879-12.2288
5732863239.413366.46-127.04446.586
5832033181.513342.37-160.86821.4934
5931413143.493320.83-177.341-2.49267
6032763241.913302.33-60.419434.086
6132243201.713284.71-83.002722.2944
6231003212.263270.5-58.2434-112.257
6331833268.033260.177.85841-85.0251
6432553318.533250.7167.826-63.5343
6534723516.833243273.826-44.826
6635553563.83233.96329.84-8.79823
6733273301.343220.5880.756625.6601
6831623116.193209.38-93.187945.8129
6931623074.123201.17-127.04487.8777
7031003030.83191.67-160.86869.2018
7130593004.833182.17-177.34154.174
7231413110.543170.96-60.419430.461
7330383073.333156.33-83.0027-35.3306
7430173080.463138.71-58.2434-63.4649
7530693123.783115.927.85841-54.7751
7631413155.783087.9667.826-14.7843
7733583332.083058.25273.82625.924
7834003358.83028.96329.8441.2018
7931313083.013002.2580.756647.9934
8029352885.42978.58-93.187949.6046
8128422829.162956.21-127.04412.836
8227492771.672932.54-160.868-22.6732
8326972729.832907.17-177.341-32.826
8428002820.462880.87-60.4194-20.4556
8527382768.582851.58-83.0027-30.5806
8627492763.212821.46-58.2434-14.2149
8728002798.322790.467.858411.68326
8828422824.242756.4267.82617.7573
8930482994.912721.08273.82653.0907
9030793014.762684.92329.8464.2434
9127492729.962649.2180.756619.0351
9225942523.732616.92-93.187970.2712
9324392459.712586.75-127.044-20.7056
9423352394.422555.29-160.868-59.4232
9522632343.082520.42-177.341-80.076
9623662424.292484.71-60.4194-58.289
9723152364.662447.67-83.0027-49.664
9823972351.092409.33-58.243445.9101
9924282376.692368.837.8584151.3083
10024592389.282321.4667.82669.7157
10125942546.22272.38273.82647.799
10226762555.712225.88329.84120.285
10322632260.552179.7980.75662.45177
10421602040.12133.29-93.1879119.896
10519011959.372086.42-127.044-58.3723
10617361876.512037.37-160.868-140.507
10716841809.661987-177.341-125.659
10818291875.791936.21-60.4194-46.789
10917461802.871885.88-83.0027-56.8723
11018501775.961834.21-58.243474.0351
11118501789.531781.677.8584160.4749
11218601798.241730.4267.82661.7573
11319841952.161678.33273.82631.8407
11420671957.381627.54329.84109.618
1151664NANA80.7566NA
1161519NANA-93.1879NA
1171281NANA-127.044NA
1181126NANA-160.868NA
1191044NANA-177.341NA
1201250NANA-60.4194NA



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')