workshop 3 deel 1

*The author of this computation has been verified*

R Software Module: rwasp_decompose.wasp (opens new window with default values)

Title produced by software: Classical Decomposition

Date of computation: Tue, 20 Oct 2009 01:53:32 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02.htm/, Retrieved Tue, 20 Oct 2009 09:55:10 +0200

BibTeX entries for LaTeX users:

@Manual{KEY, author = {{YOUR NAME}}, publisher = {Office for Research Development and Education}, title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02.htm/}, year = {2009}, } @Manual{R, title = {R: A Language and Environment for Statistical Computing}, author = {{R Development Core Team}}, organization = {R Foundation for Statistical Computing}, address = {Vienna, Austria}, year = {2009}, note = {{ISBN} 3-900051-07-0}, url = {http://www.R-project.org}, }

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

workshop 3 deel 1

Dataseries X:

» Textbox « » Textfile « » CSV «

87.28 87.28 87.09 86.92 87.59 90.72 90.69 90.3 89.55 88.94 88.41 87.82 87.07 86.82 86.4 86.02 85.66 85.32 85 84.67 83.94 82.83 81.95 81.19 80.48 78.86 69.47 68.77 70.06 73.95 75.8 77.79 81.57 83.07 84.34 85.1 85.25 84.26 83.63 86.44 85.3 84.1 83.36 82.48 81.58 80.47 79.34 82.13 81.69 80.7 79.88 79.16 78.38 77.42 76.47 75.46 74.48 78.27 80.7 79.91 78.75 77.78 81.14 81.08 80.03 78.91 78.01 76.9 75.97 81.93 80.27 78.67 77.42 76.16 74.7 76.39 76.04 74.65 73.29 71.79 74.39 74.91 74.54 73.08 72.75 71.32 70.38 70.35 70.01 69.36 67.77 69.26 69.8 68.38 67.62 68.39 66.95 65.21 66.64 63.45 60.66 62.34 60.32 58.64 60.46 58.59 61.87 61.85 67.44 77.06 91.74 93.15 94.15 93.11 91.51 89.96 88.16 86.98 88.03 86.24 84.65 83.23 81.7 80.25 78.8 77.51 76.2 75.04 74 75.49 77.14 76.15 76.27 78.19 76.49 77.31 76.65 74.99 73.51 72.07 70.59 71.96 76.29 74.86 74.93 71.9 71.01 77.47 75.78 76 etc...

Output produced by software:

Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 6 seconds R Server 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 Classical Decomposition by Moving Averages t Observations Fit Trend Seasonal Random 1 87.28 NA NA -0.301828304597699 NA 2 87.28 NA NA 0.149464798850575 NA 3 87.09 NA NA 2.34322916666667 NA 4 86.92 NA NA 2.23103089080460 NA 5 87.59 NA NA 2.10794181034483 NA 6 90.72 NA NA 0.599048132183907 NA 7 90.69 86.5930998563218 88.5404166666667 -1.94731681034483 4.09690014367816 8 90.3 86.7099389367816 88.5125 -1.80256106321839 3.59006106321839 9 89.55 86.9045797413793 88.4645833333333 -1.56000359195402 2.64542025862070 10 88.94 86.9673814655172 88.3983333333333 -1.43095186781609 1.97261853448275 11 88.41 88.0866774425288 88.2804166666667 -0.193739224137930 0.323322557471243 12 87.82 87.7806860632184 87.975 -0.194313936781611 0.039313936781582 13 87.07 87.211088362069 87.5129166666667 -0.301828304597699 -0.141088362068984 14 86.82 87.1907147988506 87.04125 0.149464798850575 -0.370714798850585 15 86.4 88.9161458333333 86.5729166666667 2.34322916666667 -2.51614583333334 16 86.02 88.315614224138 86.0845833333333 2.23103089080460 -2.29561422413792 17 85.66 87.6687751436782 85.5608333333333 2.10794181034483 -2.00877514367816 18 85.32 85.6144647988506 85.0154166666667 0.599048132183907 -0.294464798850584 19 85 82.5172665229885 84.4645833333333 -1.94731681034483 2.48273347701149 20 84.67 82.055772270115 83.8583333333333 -1.80256106321839 2.61422772988504 21 83.94 81.261246408046 82.82125 -1.56000359195402 2.67875359195403 22 82.83 79.9661314655173 81.3970833333333 -1.43095186781609 2.86386853448275 23 81.95 79.8345941091954 80.0283333333333 -0.193739224137930 2.11540589080461 24 81.19 78.7102693965517 78.9045833333333 -0.194313936781611 2.47973060344827 25 80.48 77.7456716954023 78.0475 -0.301828304597699 2.73432830459770 26 78.86 77.5269647988506 77.3775 0.149464798850575 1.33303520114941 27 69.47 79.3353125 76.9920833333333 2.34322916666667 -9.8653125 28 68.77 79.1343642241379 76.9033333333333 2.23103089080460 -10.3643642241379 29 70.06 79.1208584770115 77.0129166666667 2.10794181034483 -9.0608584770115 30 73.95 77.8744647988506 77.2754166666667 0.599048132183907 -3.92446479885058 31 75.8 75.6897665229885 77.6370833333334 -1.94731681034483 0.110233477011477 32 77.79 76.258272270115 78.0608333333333 -1.80256106321839 1.53172772988506 33 81.57 77.3158297413793 78.8758333333333 -1.56000359195402 4.25417025862069 34 83.07 78.7711314655172 80.2020833333333 -1.43095186781609 4.29886853448276 35 84.34 81.3795941091954 81.5733333333333 -0.193739224137930 2.96040589080461 36 85.1 82.4369360632184 82.63125 -0.194313936781611 2.66306393678161 37 85.25 83.067338362069 83.3691666666667 -0.301828304597699 2.18266163793103 38 84.26 84.0290481321839 83.8795833333333 0.149464798850575 0.230951867816103 39 83.63 86.4186458333333 84.0754166666667 2.34322916666667 -2.78864583333333 40 86.44 86.1985308908046 83.9675 2.23103089080460 0.241469109195407 41 85.3 85.7587751436782 83.6508333333333 2.10794181034483 -0.458775143678167 42 84.1 83.9177981321839 83.31875 0.599048132183907 0.18220186781609 43 83.36 81.0993498563218 83.0466666666667 -1.94731681034483 2.26065014367818 44 82.48 80.9474389367816 82.75 -1.80256106321839 1.53256106321840 45 81.58 80.8854130747126 82.4454166666667 -1.56000359195402 0.694586925287368 46 80.47 80.5548814655173 81.9858333333333 -1.43095186781609 -0.084881465517256 47 79.34 81.2004274425287 81.3941666666667 -0.193739224137930 -1.86042744252873 48 82.13 80.6331860632184 80.8275 -0.194313936781611 1.49681393678162 49 81.69 79.9602550287356 80.2620833333333 -0.301828304597699 1.72974497126438 50 80.7 79.8319647988506 79.6825 0.149464798850575 0.86803520114944 51 79.88 81.4373958333333 79.0941666666667 2.34322916666667 -1.55739583333335 52 79.16 80.9376975574713 78.7066666666667 2.23103089080460 -1.77769755747126 53 78.38 80.7796084770115 78.6716666666667 2.10794181034483 -2.39960847701150 54 77.42 79.2348814655172 78.6358333333333 0.599048132183907 -1.81488146551725 55 76.47 76.4735165229885 78.4208333333333 -1.94731681034483 -0.00351652298849103 56 75.46 76.3741056034483 78.1766666666667 -1.80256106321839 -0.914105603448292 57 74.48 76.547496408046 78.1075 -1.56000359195402 -2.06749640804597 58 78.27 76.8090481321839 78.24 -1.43095186781609 1.46095186781609 59 80.7 78.195010775862 78.38875 -0.193739224137930 2.50498922413793 60 79.91 78.3252693965517 78.5195833333333 -0.194313936781611 1.58473060344829 61 78.75 78.3440050287356 78.6458333333333 -0.301828304597699 0.405994971264377 62 77.78 78.9194647988506 78.77 0.149464798850575 -1.13946479885057 63 81.14 81.2353125 78.8920833333333 2.34322916666667 -0.0953124999999915 64 81.08 81.3376975574713 79.1066666666667 2.23103089080460 -0.257697557471261 65 80.03 81.3491918103448 79.24125 2.10794181034483 -1.31919181034482 66 78.91 79.7707147988506 79.1716666666667 0.599048132183907 -0.86071479885058 67 78.01 77.1172665229885 79.0645833333333 -1.94731681034483 0.892733477011504 68 76.9 77.1391056034483 78.9416666666667 -1.80256106321839 -0.239105603448266 69 75.97 77.0458297413793 78.6058333333333 -1.56000359195402 -1.07582974137929 70 81.93 76.7111314655172 78.1420833333333 -1.43095186781609 5.21886853448278 71 80.27 77.5866774425287 77.7804166666667 -0.193739224137930 2.68332255747127 72 78.67 77.242352729885 77.4366666666667 -0.194313936781611 1.42764727011496 73 77.42 76.7606716954023 77.0625 -0.301828304597699 0.659328304597707 74 76.16 76.8023814655172 76.6529166666667 0.149464798850575 -0.642381465517246 75 74.7 78.7173958333333 76.3741666666667 2.34322916666667 -4.01739583333334 76 76.39 78.246864224138 76.0158333333333 2.23103089080460 -1.85686422413794 77 76.04 77.5925251436782 75.4845833333333 2.10794181034483 -1.55252514367815 78 74.65 75.6119647988506 75.0129166666667 0.599048132183907 -0.961964798850573 79 73.29 72.6380998563218 74.5854166666667 -1.94731681034483 0.651900143678176 80 71.79 72.3866056034483 74.1891666666667 -1.80256106321839 -0.596605603448268 81 74.39 72.247496408046 73.8075 -1.56000359195402 2.14250359195402 82 74.91 71.9448814655173 73.3758333333333 -1.43095186781609 2.96511853448274 83 74.54 72.6791774425287 72.8729166666667 -0.193739224137930 1.86082255747127 84 73.08 72.2069360632184 72.40125 -0.194313936781611 0.873063936781605 85 72.75 71.6490050287356 71.9508333333333 -0.301828304597699 1.10099497126438 86 71.32 71.7648814655172 71.6154166666667 0.149464798850575 -0.444881465517241 87 70.38 73.6619791666667 71.31875 2.34322916666667 -3.28197916666667 88 70.35 73.0864475574713 70.8554166666667 2.23103089080460 -2.73644755747127 89 70.01 72.4029418103448 70.295 2.10794181034483 -2.39294181034482 90 69.36 70.4102981321839 69.81125 0.599048132183907 -1.05029813218393 91 67.77 67.4268498563218 69.3741666666667 -1.94731681034483 0.343150143678159 92 69.26 67.0753556034483 68.8779166666667 -1.80256106321839 2.18464439655173 93 69.8 66.907496408046 68.4675 -1.56000359195402 2.89250359195401 94 68.38 66.5932147988506 68.0241666666667 -1.43095186781609 1.78678520114943 95 67.62 67.1533441091954 67.3470833333333 -0.193739224137930 0.466655890804603 96 68.39 66.4706860632184 66.665 -0.194313936781611 1.91931393678162 97 66.95 65.7602550287356 66.0620833333333 -0.301828304597699 1.18974497126439 98 65.21 65.4586314655172 65.3091666666667 0.149464798850575 -0.248631465517249 99 66.64 66.8207291666667 64.4775 2.34322916666667 -0.180729166666666 100 63.45 65.9114475574713 63.6804166666667 2.23103089080460 -2.46144755747127 101 60.66 65.1408584770115 63.0329166666667 2.10794181034483 -4.4808584770115 102 62.34 63.1198814655172 62.5208333333333 0.599048132183907 -0.779881465517242 103 60.32 60.3214331896552 62.26875 -1.94731681034483 -0.00143318965518091 104 58.64 60.9803556034483 62.7829166666667 -1.80256106321839 -2.34035560344828 105 60.46 62.762496408046 64.3225 -1.56000359195402 -2.30249640804598 106 58.59 65.1748814655172 66.6058333333333 -1.43095186781609 -6.58488146551724 107 61.87 69.045010775862 69.23875 -0.193739224137930 -7.17501077586207 108 61.85 71.7219360632184 71.91625 -0.194313936781611 -9.8719360632184 109 67.44 74.196088362069 74.4979166666667 -0.301828304597699 -6.75608836206897 110 77.06 77.2519647988506 77.1025 0.149464798850575 -0.191964798850563 111 91.74 81.9048958333333 79.5616666666667 2.34322916666667 9.83510416666667 112 93.15 84.1297808908046 81.89875 2.23103089080460 9.02021910919541 113 94.15 86.2796084770115 84.1716666666667 2.10794181034483 7.87039152298851 114 93.11 86.8769647988506 86.2779166666667 0.599048132183907 6.23303520114943 115 91.51 86.0639331896552 88.01125 -1.94731681034483 5.44606681034485 116 89.96 87.1828556034483 88.9854166666667 -1.80256106321839 2.77714439655171 117 88.16 87.2641630747126 88.8241666666667 -1.56000359195402 0.895836925287355 118 86.98 86.4373814655172 87.8683333333333 -1.43095186781609 0.54261853448277 119 88.03 86.497510775862 86.69125 -0.193739224137930 1.53248922413792 120 86.24 85.207352729885 85.4016666666667 -0.194313936781611 1.03264727011494 121 84.65 83.8119216954023 84.11375 -0.301828304597699 0.838078304597715 122 83.23 83.0036314655172 82.8541666666667 0.149464798850575 0.226368534482759 123 81.7 83.9857291666667 81.6425 2.34322916666667 -2.28572916666667 124 80.25 82.8047808908046 80.57375 2.23103089080460 -2.55478089080458 125 78.8 81.7491918103448 79.64125 2.10794181034483 -2.94919181034483 126 77.51 79.3661314655173 78.7670833333333 0.599048132183907 -1.85613146551725 127 76.2 76.0501831896552 77.9975 -1.94731681034483 0.149816810344831 128 75.04 75.635772270115 77.4383333333333 -1.80256106321839 -0.595772270114935 129 74 75.451246408046 77.01125 -1.56000359195402 -1.45124640804598 130 75.49 75.2407147988506 76.6716666666667 -1.43095186781609 0.249285201149419 131 77.14 76.2658441091954 76.4595833333333 -0.193739224137930 0.874155890804616 132 76.15 76.0706860632184 76.265 -0.194313936781611 0.0793139367816167 133 76.27 75.746088362069 76.0479166666667 -0.301828304597699 0.523911637931036 134 78.19 75.9615481321839 75.8120833333333 0.149464798850575 2.22845186781609 135 76.49 77.8894791666667 75.54625 2.34322916666667 -1.39947916666667 136 77.31 77.4881142241379 75.2570833333333 2.23103089080460 -0.178114224137914 137 76.65 77.1825251436782 75.0745833333333 2.10794181034483 -0.532525143678157 138 74.99 75.5844647988506 74.9854166666667 0.599048132183907 -0.594464798850595 139 73.51 72.9285165229885 74.8758333333333 -1.94731681034483 0.581483477011503 140 72.07 72.7553556034483 74.5579166666667 -1.80256106321839 -0.685355603448286 141 70.59 72.507496408046 74.0675 -1.56000359195402 -1.91749640804596 142 71.96 72.4148814655172 73.8458333333333 -1.43095186781609 -0.454881465517246 143 76.29 73.622510775862 73.81625 -0.193739224137930 2.66748922413794 144 74.86 73.6527693965517 73.8470833333333 -0.194313936781611 1.20723060344827 145 74.93 73.7190050287356 74.0208333333333 -0.301828304597699 1.21099497126437 146 71.9 74.3811314655172 74.2316666666667 0.149464798850575 -2.48113146551722 147 71.01 76.7803125 74.4370833333333 2.34322916666667 -5.77031249999999 148 77.47 76.7981142241379 74.5670833333333 2.23103089080460 0.67188577586208 149 75.78 76.5733584770115 74.4654166666666 2.10794181034483 -0.793358477011466 150 76.6 74.7952981321839 74.19625 0.599048132183907 1.80470186781609 151 76.07 71.8955998563218 73.8429166666667 -1.94731681034483 4.17440014367816 152 74.57 71.6624389367816 73.465 -1.80256106321839 2.90756106321838 153 73.02 71.6979130747126 73.2579166666667 -1.56000359195402 1.32208692528737 154 72.65 71.5619647988506 72.9929166666667 -1.43095186781609 1.08803520114944 155 73.16 72.3566774425287 72.5504166666666 -0.193739224137930 0.803322557471276 156 71.53 71.812352729885 72.0066666666667 -0.194313936781611 -0.282352729885048 157 69.78 71.019838362069 71.3216666666667 -0.301828304597699 -1.23983836206895 158 67.98 70.7461314655172 70.5966666666667 0.149464798850575 -2.76613146551723 159 69.96 72.5415625 70.1983333333333 2.34322916666667 -2.58156250000002 160 72.16 72.3389475574713 70.1079166666667 2.23103089080460 -0.178947557471261 161 70.47 72.0266918103448 69.91875 2.10794181034483 -1.55669181034483 162 68.86 70.2544647988506 69.6554166666667 0.599048132183907 -1.39446479885058 163 67.37 67.4701831896552 69.4175 -1.94731681034483 -0.100183189655169 164 65.87 67.4236889367816 69.22625 -1.80256106321839 -1.55368893678160 165 72.16 67.471246408046 69.03125 -1.56000359195402 4.68875359195401 166 71.34 67.4352981321839 68.86625 -1.43095186781609 3.90470186781609 167 69.93 68.5904274425287 68.7841666666667 -0.193739224137930 1.33957255747126 168 68.44 68.548602729885 68.7429166666667 -0.194313936781611 -0.108602729885064 169 67.16 68.4344216954023 68.73625 -0.301828304597699 -1.27442169540230 170 66.01 68.9086314655172 68.7591666666667 0.149464798850575 -2.89863146551723 171 67.25 70.8144791666667 68.47125 2.34322916666667 -3.56447916666667 172 70.91 70.1976975574712 67.9666666666667 2.23103089080460 0.712302442528753 173 69.75 69.7112751436782 67.6033333333333 2.10794181034483 0.0387248563218492 174 68.59 67.8815481321839 67.2825 0.599048132183907 0.708451867816095 175 67.48 65.0768498563218 67.0241666666667 -1.94731681034483 2.40315014367818 176 66.31 64.9078556034483 66.7104166666667 -1.80256106321839 1.40214439655173 177 64.81 64.598746408046 66.15875 -1.56000359195402 0.211253591954033 178 66.58 63.8669647988506 65.2979166666667 -1.43095186781609 2.71303520114942 179 65.97 64.0845941091954 64.2783333333333 -0.193739224137930 1.88540589080459 180 64.7 63.1065193965517 63.3008333333333 -0.194313936781611 1.59348060344828 181 64.7 61.9302550287356 62.2320833333333 -0.301828304597699 2.76974497126438 182 60.94 61.1098814655172 60.9604166666667 0.149464798850575 -0.169881465517236 183 59.08 61.9803125 59.6370833333333 2.34322916666667 -2.9003125 184 58.42 60.4868642241379 58.2558333333333 2.23103089080460 -2.06686422413792 185 57.77 58.8883584770115 56.7804166666667 2.10794181034483 -1.11835847701148 186 57.11 55.9365481321839 55.3375 0.599048132183907 1.17345186781610 187 53.31 51.9560165229885 53.9033333333333 -1.94731681034483 1.35398347701150 188 49.96 50.7824389367816 52.585 -1.80256106321839 -0.822438936781602 189 49.4 49.901246408046 51.46125 -1.56000359195402 -0.501246408045979 190 48.84 49.1007147988506 50.5316666666667 -1.43095186781609 -0.260714798850572 191 48.3 49.5854274425287 49.7791666666667 -0.193739224137930 -1.28542744252874 192 47.74 48.8715193965517 49.0658333333333 -0.194313936781611 -1.13151939655172 193 47.24 48.1865050287356 48.4883333333333 -0.301828304597699 -0.94650502873563 194 46.76 48.6002981321839 48.4508333333333 0.149464798850575 -1.84029813218390 195 46.29 51.1594791666667 48.81625 2.34322916666667 -4.86947916666666 196 48.9 51.4135308908046 49.1825 2.23103089080460 -2.51353089080460 197 49.23 51.6679418103448 49.56 2.10794181034483 -2.43794181034483 198 48.53 50.5377981321839 49.93875 0.599048132183907 -2.00779813218392 199 48.03 48.3618498563219 50.3091666666667 -1.94731681034483 -0.331849856321853 200 54.34 49.1836889367816 50.98625 -1.80256106321839 5.15631106321839 201 53.79 51.2470797413793 52.8070833333333 -1.56000359195402 2.54292025862069 202 53.24 53.8777981321839 55.30875 -1.43095186781609 -0.63779813218391 203 52.96 57.4104274425287 57.6041666666667 -0.193739224137930 -4.45042744252874 204 52.17 59.7256860632184 59.92 -0.194313936781611 -7.55568606321839 205 51.7 61.9706716954023 62.2725 -0.301828304597699 -10.2706716954023 206 58.55 65.2957147988506 65.14625 0.149464798850575 -6.74571479885057 207 78.2 71.5315625 69.1883333333333 2.34322916666667 6.66843750000001 208 77.03 76.2076975574712 73.9766666666667 2.23103089080460 0.822302442528752 209 76.19 81.0050251436782 78.8970833333333 2.10794181034483 -4.81502514367816 210 77.15 84.2798814655172 83.6808333333333 0.599048132183907 -7.12988146551723 211 75.87 86.3176831896552 88.265 -1.94731681034483 -10.4476831896552 212 95.47 90.6611889367816 92.46375 -1.80256106321839 4.80881106321839 213 109.67 93.8741630747126 95.4341666666667 -1.56000359195402 15.7958369252874 214 112.28 96.0844647988506 97.5154166666667 -1.43095186781609 16.1955352011494 215 112.01 99.5804274425287 99.7741666666667 -0.193739224137930 12.4295725574713 216 107.93 101.819019396552 102.013333333333 -0.194313936781611 6.11098060344828 217 105.96 103.741505028736 104.043333333333 -0.301828304597699 2.21849497126438 218 105.06 105.225298132184 105.075833333333 0.149464798850575 -0.165298132183906 219 102.98 106.829479166667 104.48625 2.34322916666667 -3.84947916666665 220 102.2 105.230614224138 102.999583333333 2.23103089080460 -3.03061422413791 221 105.23 103.392941810345 101.285 2.10794181034483 1.83705818965518 222 101.85 100.351964798851 99.7529166666666 0.599048132183907 1.49803520114943 223 99.89 96.2589331896552 98.20625 -1.94731681034483 3.63106681034485 224 96.23 94.822022270115 96.6245833333333 -1.80256106321839 1.40797772988508 225 94.76 93.6966630747126 95.2566666666667 -1.56000359195402 1.06333692528736 226 91.51 92.4357147988506 93.8666666666666 -1.43095186781609 -0.92571479885055 227 91.63 92.0979274425287 92.2916666666667 -0.193739224137930 -0.467927442528747 228 91.54 90.519852729885 90.7141666666667 -0.194313936781611 1.02014727011495 229 85.23 89.1215050287356 89.4233333333333 -0.301828304597699 -3.89150502873561 230 87.83 89.2865481321839 89.1370833333333 0.149464798850575 -1.45654813218391 231 87.38 92.1461458333333 89.8029166666667 2.34322916666667 -4.76614583333335 232 84.44 93.0822808908046 90.85125 2.23103089080460 -8.6422808908046 233 85.19 94.2450251436782 92.1370833333333 2.10794181034483 -9.05502514367817 234 84.03 93.6990481321839 93.1 0.599048132183907 -9.6690481321839 235 86.73 91.8585165229885 93.8058333333333 -1.94731681034483 -5.12851652298848 236 102.52 93.454522270115 95.2570833333333 -1.80256106321839 9.06547772988506 237 104.45 97.678746408046 99.23875 -1.56000359195402 6.77125359195405 238 106.98 103.344881465517 104.775833333333 -1.43095186781609 3.63511853448277 239 107.02 110.817094109195 111.010833333333 -0.193739224137930 -3.7970941091954 240 99.26 118.092352729885 118.286666666667 -0.194313936781611 -18.8323527298851 241 94.45 123.564005028736 123.865833333333 -0.301828304597699 -29.1140050287356 242 113.44 126.910298132184 126.760833333333 0.149464798850575 -13.4702981321839 243 157.33 130.7803125 128.437083333333 2.34322916666667 26.5496875000000 244 147.38 131.718114224138 129.487083333333 2.23103089080460 15.6618857758621 245 171.89 132.092108477011 129.984166666667 2.10794181034483 39.7978915229885 246 171.95 131.501964798851 130.902916666667 0.599048132183907 40.4480352011494 247 132.71 130.696016522989 132.643333333333 -1.94731681034483 2.01398347701149 248 126.02 132.273688936782 134.07625 -1.80256106321839 -6.2536889367816 249 121.18 130.994163074713 132.554166666667 -1.56000359195402 -9.81416307471264 250 115.45 127.629464798851 129.060416666667 -1.43095186781609 -12.1794647988506 251 110.48 124.357510775862 124.55125 -0.193739224137930 -13.8775107758621 252 117.85 118.279852729885 118.474166666667 -0.194313936781611 -0.429852729885056 253 117.63 113.703588362069 114.005416666667 -0.301828304597699 3.92641163793105 254 124.65 111.589881465517 111.440416666667 0.149464798850575 13.0601185344828 255 109.59 111.296979166667 108.95375 2.34322916666667 -1.70697916666666 256 111.27 108.719364224138 106.488333333333 2.23103089080460 2.55063577586208 257 99.78 106.734608477012 104.626666666667 2.10794181034483 -6.9546084770115 258 98.21 103.535298132184 102.93625 0.599048132183907 -5.32529813218389 259 99.2 98.9947665229885 100.942083333333 -1.94731681034483 0.205233477011490 260 97.97 96.6899389367816 98.4925 -1.80256106321839 1.28006106321841 261 89.55 94.7454130747126 96.3054166666667 -1.56000359195402 -5.19541307471263 262 87.91 93.2319647988506 94.6629166666667 -1.43095186781609 -5.32196479885059 263 93.34 93.1058441091954 93.2995833333333 -0.193739224137930 0.234155890804601 264 94.42 92.2206860632184 92.415 -0.194313936781611 2.19931393678161 265 93.2 91.0065050287356 91.3083333333333 -0.301828304597699 2.19349497126437 266 90.29 90.0061314655172 89.8566666666667 0.149464798850575 0.283868534482764 267 91.46 90.8690625 88.5258333333333 2.34322916666667 0.590937499999981 268 89.98 89.6689475574713 87.4379166666667 2.23103089080460 0.311052442528748 269 88.35 88.6671084770115 86.5591666666667 2.10794181034483 -0.317108477011502 270 88.41 86.8861314655172 86.2870833333333 0.599048132183907 1.52386853448276 271 82.44 84.1976831896552 86.145 -1.94731681034483 -1.75768318965518 272 79.89 83.7749389367816 85.5775 -1.80256106321839 -3.88493893678161 273 75.69 83.3558297413793 84.9158333333333 -1.56000359195402 -7.6658297413793 274 75.66 82.7077981321839 84.13875 -1.43095186781609 -7.04779813218391 275 84.5 83.0758441091954 83.2695833333333 -0.193739224137930 1.42415589080458 276 96.73 81.9990193965517 82.1933333333333 -0.194313936781611 14.7309806034483 277 87.48 80.823588362069 81.1254166666667 -0.301828304597699 6.65641163793104 278 82.39 80.3823814655172 80.2329166666667 0.149464798850575 2.00761853448276 279 83.48 81.7636458333334 79.4204166666667 2.34322916666667 1.71635416666665 280 79.31 81.0276975574713 78.7966666666667 2.23103089080460 -1.71769755747127 281 78.16 80.0158584770115 77.9079166666667 2.10794181034483 -1.85585847701149 282 72.77 76.7315481321839 76.1325 0.599048132183907 -3.96154813218391 283 72.45 72.0868498563218 74.0341666666666 -1.94731681034483 0.363150143678183 284 68.46 70.3311889367816 72.13375 -1.80256106321839 -1.87118893678162 285 67.62 68.5845797413793 70.1445833333333 -1.56000359195402 -0.964579741379296 286 68.76 66.9948814655172 68.4258333333333 -1.43095186781609 1.76511853448278 287 70.07 67.031260775862 67.225 -0.193739224137930 3.03873922413793 288 68.55 65.821102729885 66.0154166666667 -0.194313936781611 2.72889727011494 289 65.3 64.2815050287356 64.5833333333333 -0.301828304597699 1.01849497126437 290 58.96 63.4898814655172 63.3404166666667 0.149464798850575 -4.52988146551723 291 59.17 64.7053125 62.3620833333333 2.34322916666667 -5.5353125 292 62.37 63.3956142241379 61.1645833333333 2.23103089080460 -1.02561422413793 293 66.28 61.8533584770115 59.7454166666667 2.10794181034483 4.42664152298851 294 55.62 59.0198814655172 58.4208333333333 0.599048132183907 -3.39988146551725 295 55.23 55.3976831896552 57.345 -1.94731681034483 -0.167683189655172 296 55.85 54.8936889367816 56.69625 -1.80256106321839 0.9563110632184 297 56.75 54.8970797413793 56.4570833333333 -1.56000359195402 1.85292025862069 298 50.89 54.9882147988506 56.4191666666667 -1.43095186781609 -4.09821479885058 299 53.88 55.7716774425287 55.9654166666667 -0.193739224137930 -1.89167744252874 300 52.95 55.2431860632184 55.4375 -0.194313936781611 -2.29318606321839 301 55.08 54.672338362069 54.9741666666667 -0.301828304597699 0.407661637931035 302 53.61 54.2861314655172 54.1366666666667 0.149464798850575 -0.676131465517244 303 58.78 55.7286458333333 53.3854166666667 2.34322916666667 3.05135416666666 304 61.85 55.2981142241379 53.0670833333333 2.23103089080460 6.55188577586207 305 55.91 55.1162751436782 53.0083333333333 2.10794181034483 0.793724856321845 306 53.32 53.3057147988506 52.7066666666667 0.599048132183907 0.014285201149427 307 46.41 50.2864331896552 52.23375 -1.94731681034483 -3.87643318965518 308 44.57 50.0491056034483 51.8516666666667 -1.80256106321839 -5.47910560344827 309 50 49.563746408046 51.12375 -1.56000359195402 0.436253591954035 310 50 48.5957147988506 50.0266666666667 -1.43095186781609 1.40428520114943 311 53.36 49.0266774425287 49.2204166666667 -0.193739224137930 4.33332255747127 312 46.23 48.4952693965517 48.6895833333333 -0.194313936781611 -2.26526939655171 313 50.45 48.2756716954023 48.5775 -0.301828304597699 2.17432830459772 314 49.07 49.0232147988506 48.87375 0.149464798850575 0.046785201149433 315 45.85 51.2611458333333 48.9179166666667 2.34322916666667 -5.41114583333333 316 48.45 50.9360308908046 48.705 2.23103089080460 -2.48603089080459 317 49.96 50.4441918103448 48.33625 2.10794181034483 -0.484191810344825 318 46.53 48.8202981321839 48.22125 0.599048132183907 -2.29029813218391 319 50.51 46.6080998563218 48.5554166666667 -1.94731681034483 3.90190014367816 320 47.58 47.2461889367816 49.04875 -1.80256106321839 0.333811063218391 321 48.05 48.2854130747126 49.8454166666667 -1.56000359195402 -0.235413074712646 322 46.84 49.2523814655172 50.6833333333333 -1.43095186781609 -2.41238146551724 323 47.67 51.1375107758621 51.33125 -0.193739224137930 -3.46751077586207 324 49.16 52.1565193965517 52.3508333333333 -0.194313936781611 -2.99651939655173 325 55.54 52.9202550287356 53.2220833333333 -0.301828304597699 2.61974497126436 326 55.82 53.8886314655172 53.7391666666667 0.149464798850575 1.93136853448276 327 58.22 57.0261458333333 54.6829166666667 2.34322916666667 1.19385416666668 328 56.19 58.1239475574712 55.8929166666667 2.23103089080460 -1.93394755747125 329 57.77 59.5208584770115 57.4129166666667 2.10794181034483 -1.75085847701148 330 63.19 60.1786314655172 59.5795833333333 0.599048132183907 3.01136853448277 331 54.76 59.9043498563218 61.8516666666667 -1.94731681034483 -5.14434985632183 332 55.74 62.6457722701149 64.4483333333333 -1.80256106321839 -6.90577227011493 333 62.54 66.5245797413793 68.0845833333333 -1.56000359195402 -3.98457974137931 334 61.39 70.5452981321839 71.97625 -1.43095186781609 -9.1552981321839 335 69.6 75.262510775862 75.45625 -0.193739224137930 -5.66251077586207 336 79.23 78.044852729885 78.2391666666666 -0.194313936781611 1.18514727011497 337 80 80.1515050287356 80.4533333333333 -0.301828304597699 -0.151505028735599 338 93.68 82.7161314655173 82.5666666666667 0.149464798850575 10.9638685344828 339 107.63 86.4982291666667 84.155 2.34322916666667 21.1317708333333 340 100.18 87.9476975574713 85.7166666666667 2.23103089080460 12.2323024425287 341 97.3 89.6558584770115 87.5479166666667 2.10794181034483 7.64414152298849 342 90.45 89.3944647988506 88.7954166666667 0.599048132183907 1.05553520114943 343 80.64 88.3030998563218 90.2504166666667 -1.94731681034483 -7.66309985632184 344 80.58 89.5466056034483 91.3491666666667 -1.80256106321839 -8.96660560344827 345 75.82 89.092496408046 90.6525 -1.56000359195402 -13.2724964080460 346 85.59 88.0507147988506 89.4816666666667 -1.43095186781609 -2.46071479885056 347 89.35 88.4516774425287 88.6454166666666 -0.193739224137930 0.898322557471275 348 89.42 87.5844360632184 87.77875 -0.194313936781611 1.83556393678163 349 104.73 87.064838362069 87.3666666666667 -0.301828304597699 17.6651616379310 350 95.32 87.8223814655172 87.6729166666667 0.149464798850575 7.49761853448275 351 89.27 90.6240625 88.2808333333333 2.34322916666667 -1.35406249999998 352 90.44 90.6972808908046 88.46625 2.23103089080460 -0.257280890804594 353 86.97 90.6441918103448 88.53625 2.10794181034483 -3.67419181034481 354 79.98 89.8773814655172 89.2783333333333 0.599048132183907 -9.89738146551724 355 81.22 NA NA -1.94731681034483 NA 356 87.35 NA NA -1.80256106321839 NA 357 83.64 NA NA -1.56000359195402 NA 358 82.22 NA NA -1.43095186781609 NA 359 94.4 NA NA -0.193739224137930 NA 360 102.18 NA NA -0.194313936781611 NA

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02/18ryq1256025204.png (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02/18ryq1256025204.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02/275ex1256025204.png (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02/275ex1256025204.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02/3enc91256025204.png (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02/3enc91256025204.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02/4waqg1256025204.png (open in new window) http://www.freestatistics.org/blog/date/2009/Oct/20/t1256025310wvq26p04fv4ft02/4waqg1256025204.ps (open in new window)

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$trend)) { a<-table.row.start(a) a<-table.element(a,i,header=TRUE) a<-table.element(a,x[i]) a<-table.element(a,m$trend[i]+m$seasonal[i]) a<-table.element(a,m$trend[i]) a<-table.element(a,m$seasonal[i]) a<-table.element(a,m$random[i]) a<-table.row.end(a) } a<-table.end(a) table.save(a,file='mytable.tab')

Copyright

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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