| workshop8 | *The author of this computation has been verified* | R Software Module: /rwasp_multipleregression.wasp (opens new window with default values) | Title produced by software: Multiple Regression | Date of computation: Sun, 19 Dec 2010 23:22:06 +0000 | | Cite this page as follows: | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k.htm/, Retrieved Mon, 20 Dec 2010 00:22:44 +0100 | | 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/2010/Dec/20/t1292800961f5ee4oimzmjt02k.htm/},
year = {2010},
}
@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 = {2010},
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: | | | Dataseries X: | » Textbox « » Textfile « » CSV « | 40.7819
39.5915
38.8859
39.9068
41.47
41.5613
41.6005
41.4113
41.84
42.2892
43.1521
43.5998
43.116
42.4185
42.3687
42.2975
42.8528
43.535
44.7265
45.7293
45.7585
46.1685
46.5075
46.527
46.601
46.4607
46.7135
46.4113
45.55
44.6081
44.4395
44.9847
45.7558
45.3942
45.697
45.5664
46.0205
45.9195
45.8005
45.535
45.4977
45.5782
45.7697
45.2445
45.0615
45.2865
44.791
44.7625
44.7644
44.9973
44.7265
45.1465
44.7465
45.1795
45.6515
45.492
45.2775
45.2115
45.411
45.4005
44.7692
44.8913
45.032
44.879
44.833
44.8257
44.7815
44.479
44.6317
44.5043
44.3217
44.1005
44.047
43.6835
43.7864
44.1807
43.9595
43.937
43.991
43.865
43.671
43.93
43.863
43.7095
43.9435
43.736
43.6295
43.598
43.8726
43.8935
43.5957
43.7155
43.528
43.3415
43.3374
43.332
43.3869
43.5016
43.4875
43.6023
43.3886
43.3105
43.4455
43.5185
43.5755
43.6217
43.644
43.5789
43.5215
43.5033
43.632
43.263
43.3717
43.2745
43.2647
43.324
43.4455
43.409 etc... | | Output produced by software: | Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!
Multiple Linear Regression - Estimated Regression Equation | russisch[t] = + 45.1935655912548 -0.0119215124708668t + e[t] |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.705380676898701 | R-squared | 0.49756189934207 | Adjusted R-squared | 0.496534418563628 | F-TEST (value) | 484.254216508794 | F-TEST (DF numerator) | 1 | F-TEST (DF denominator) | 489 | p-value | 0 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 1.70147419323088 | Sum Squared Residuals | 1415.6620563828 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 40.7819 | 45.1816440787841 | -4.39974407878409 | 2 | 39.5915 | 45.1697225663131 | -5.57822256631309 | 3 | 38.8859 | 45.1578010538422 | -6.27190105384223 | 4 | 39.9068 | 45.1458795413714 | -5.23907954137137 | 5 | 41.47 | 45.1339580289005 | -3.6639580289005 | 6 | 41.5613 | 45.1220365164296 | -3.56073651642963 | 7 | 41.6005 | 45.1101150039588 | -3.50961500395877 | 8 | 41.4113 | 45.0981934914879 | -3.6868934914879 | 9 | 41.84 | 45.086271979017 | -3.24627197901703 | 10 | 42.2892 | 45.0743504665462 | -2.78515046654616 | 11 | 43.1521 | 45.0624289540753 | -1.9103289540753 | 12 | 43.5998 | 45.0505074416044 | -1.45070744160443 | 13 | 43.116 | 45.0385859291336 | -1.92258592913356 | 14 | 42.4185 | 45.0266644166627 | -2.60816441666269 | 15 | 42.3687 | 45.0147429041918 | -2.64604290419183 | 16 | 42.2975 | 45.002821391721 | -2.70532139172096 | 17 | 42.8528 | 44.9908998792501 | -2.13809987925009 | 18 | 43.535 | 44.9789783667792 | -1.44397836677923 | 19 | 44.7265 | 44.9670568543084 | -0.240556854308359 | 20 | 45.7293 | 44.9551353418375 | 0.774164658162508 | 21 | 45.7585 | 44.9432138293666 | 0.815286170633371 | 22 | 46.1685 | 44.9312923168958 | 1.23720768310424 | 23 | 46.5075 | 44.9193708044249 | 1.58812919557511 | 24 | 46.527 | 44.907449291954 | 1.61955070804598 | 25 | 46.601 | 44.8955277794832 | 1.70547222051684 | 26 | 46.4607 | 44.8836062670123 | 1.57709373298771 | 27 | 46.7135 | 44.8716847545414 | 1.84181524545858 | 28 | 46.4113 | 44.8597632420706 | 1.55153675792944 | 29 | 45.55 | 44.8478417295997 | 0.702158270400305 | 30 | 44.6081 | 44.8359202171288 | -0.227820217128825 | 31 | 44.4395 | 44.823998704658 | -0.384498704657956 | 32 | 44.9847 | 44.8120771921871 | 0.172622807812905 | 33 | 45.7558 | 44.8001556797162 | 0.955644320283775 | 34 | 45.3942 | 44.7882341672454 | 0.60596583275464 | 35 | 45.697 | 44.7763126547745 | 0.920687345225512 | 36 | 45.5664 | 44.7643911423036 | 0.802008857696377 | 37 | 46.0205 | 44.7524696298328 | 1.26803037016724 | 38 | 45.9195 | 44.7405481173619 | 1.17895188263811 | 39 | 45.8005 | 44.728626604891 | 1.07187339510898 | 40 | 45.535 | 44.7167050924202 | 0.81829490757984 | 41 | 45.4977 | 44.7047835799493 | 0.792916420050712 | 42 | 45.5782 | 44.6928620674784 | 0.885337932521579 | 43 | 45.7697 | 44.6809405550076 | 1.08875944499244 | 44 | 45.2445 | 44.6690190425367 | 0.575480957463313 | 45 | 45.0615 | 44.6570975300658 | 0.404402469934179 | 46 | 45.2865 | 44.645176017595 | 0.64132398240504 | 47 | 44.791 | 44.6332545051241 | 0.157745494875908 | 48 | 44.7625 | 44.6213329926532 | 0.141167007346781 | 49 | 44.7644 | 44.6094114801824 | 0.154988519817646 | 50 | 44.9973 | 44.5974899677115 | 0.399810032288514 | 51 | 44.7265 | 44.5855684552406 | 0.14093154475938 | 52 | 45.1465 | 44.5736469427698 | 0.572853057230248 | 53 | 44.7465 | 44.5617254302989 | 0.18477456970111 | 54 | 45.1795 | 44.549803917828 | 0.629696082171976 | 55 | 45.6515 | 44.5378824053572 | 1.11361759464284 | 56 | 45.492 | 44.5259608928863 | 0.96603910711371 | 57 | 45.2775 | 44.5140393804154 | 0.763460619584583 | 58 | 45.2115 | 44.5021178679446 | 0.709382132055447 | 59 | 45.411 | 44.4901963554737 | 0.920803644526314 | 60 | 45.4005 | 44.4782748430028 | 0.92222515699718 | 61 | 44.7692 | 44.466353330532 | 0.302846669468044 | 62 | 44.8913 | 44.4544318180611 | 0.436868181938914 | 63 | 45.032 | 44.4425103055902 | 0.589489694409777 | 64 | 44.879 | 44.4305887931194 | 0.448411206880645 | 65 | 44.833 | 44.4186672806485 | 0.414332719351512 | 66 | 44.8257 | 44.4067457681776 | 0.418954231822378 | 67 | 44.7815 | 44.3948242557068 | 0.386675744293249 | 68 | 44.479 | 44.3829027432359 | 0.0960972567641135 | 69 | 44.6317 | 44.370981230765 | 0.260718769234984 | 70 | 44.5043 | 44.3590597182942 | 0.145240281705849 | 71 | 44.3217 | 44.3471382058233 | -0.0254382058232852 | 72 | 44.1005 | 44.3352166933524 | -0.234716693352421 | 73 | 44.047 | 44.3232951808816 | -0.276295180881554 | 74 | 43.6835 | 44.3113736684107 | -0.627873668410682 | 75 | 43.7864 | 44.2994521559398 | -0.513052155939817 | 76 | 44.1807 | 44.2875306434689 | -0.106830643468949 | 77 | 43.9595 | 44.2756091309981 | -0.316109130998085 | 78 | 43.937 | 44.2636876185272 | -0.32668761852722 | 79 | 43.991 | 44.2517661060564 | -0.26076610605635 | 80 | 43.865 | 44.2398445935855 | -0.374844593585481 | 81 | 43.671 | 44.2279230811146 | -0.556923081114617 | 82 | 43.93 | 44.2160015686437 | -0.28600156864375 | 83 | 43.863 | 44.2040800561729 | -0.341080056172883 | 84 | 43.7095 | 44.192158543702 | -0.482658543702017 | 85 | 43.9435 | 44.1802370312312 | -0.236737031231149 | 86 | 43.736 | 44.1683155187603 | -0.432315518760285 | 87 | 43.6295 | 44.1563940062894 | -0.526894006289415 | 88 | 43.598 | 44.1444724938185 | -0.54647249381855 | 89 | 43.8726 | 44.1325509813477 | -0.259950981347683 | 90 | 43.8935 | 44.1206294688768 | -0.227129468876812 | 91 | 43.5957 | 44.108707956406 | -0.513007956405947 | 92 | 43.7155 | 44.0967864439351 | -0.381286443935083 | 93 | 43.528 | 44.0848649314642 | -0.556864931464216 | 94 | 43.3415 | 44.0729434189933 | -0.731443418993344 | 95 | 43.3374 | 44.0610219065225 | -0.723621906522478 | 96 | 43.332 | 44.0491003940516 | -0.717100394051613 | 97 | 43.3869 | 44.0371788815808 | -0.65027888158075 | 98 | 43.5016 | 44.0252573691099 | -0.523657369109877 | 99 | 43.4875 | 44.013335856639 | -0.525835856639016 | 100 | 43.6023 | 44.0014143441681 | -0.399114344168147 | 101 | 43.3886 | 43.9894928316973 | -0.600892831697283 | 102 | 43.3105 | 43.9775713192264 | -0.667071319226415 | 103 | 43.4455 | 43.9656498067555 | -0.520149806755543 | 104 | 43.5185 | 43.9537282942847 | -0.435228294284676 | 105 | 43.5755 | 43.9418067818138 | -0.366306781813814 | 106 | 43.6217 | 43.929885269343 | -0.308185269342948 | 107 | 43.644 | 43.9179637568721 | -0.27396375687208 | 108 | 43.5789 | 43.9060422444012 | -0.327142244401215 | 109 | 43.5215 | 43.8941207319303 | -0.372620731930342 | 110 | 43.5033 | 43.8821992194595 | -0.378899219459475 | 111 | 43.632 | 43.8702777069886 | -0.238277706988613 | 112 | 43.263 | 43.8583561945177 | -0.595356194517746 | 113 | 43.3717 | 43.8464346820469 | -0.474734682046881 | 114 | 43.2745 | 43.834513169576 | -0.560013169576008 | 115 | 43.2647 | 43.8225916571051 | -0.557891657105146 | 116 | 43.324 | 43.8106701446343 | -0.486670144634279 | 117 | 43.4455 | 43.7987486321634 | -0.353248632163408 | 118 | 43.4098 | 43.7868271196925 | -0.377027119692546 | 119 | 43.41 | 43.7749056072217 | -0.36490560722168 | 120 | 43.93 | 43.7629840947508 | 0.16701590524919 | 121 | 43.8104 | 43.7510625822799 | 0.0593374177200584 | 122 | 43.54 | 43.7391410698091 | -0.199141069809077 | 123 | 43.858 | 43.7272195573382 | 0.130780442661788 | 124 | 43.8375 | 43.7152980448673 | 0.122201955132656 | 125 | 43.881 | 43.7033765323965 | 0.177623467603525 | 126 | 43.887 | 43.6914550199256 | 0.195544980074392 | 127 | 43.8009 | 43.6795335074547 | 0.121366492545257 | 128 | 43.7877 | 43.6676119949839 | 0.120088005016126 | 129 | 43.811 | 43.655690482513 | 0.155309517486992 | 130 | 44.0625 | 43.6437689700421 | 0.418731029957859 | 131 | 44.125 | 43.6318474575713 | 0.493152542428725 | 132 | 44.52 | 43.6199259451004 | 0.900074054899595 | 133 | 45.4005 | 43.6080044326295 | 1.79249556737046 | 134 | 45.89 | 43.5960829201587 | 2.29391707984133 | 135 | 45.189 | 43.5841614076878 | 1.60483859231219 | 136 | 44.9035 | 43.5722398952169 | 1.33126010478306 | 137 | 44.9351 | 43.5603183827461 | 1.37478161725392 | 138 | 44.801 | 43.5483968702752 | 1.2526031297248 | 139 | 43.98 | 43.5364753578043 | 0.443524642195657 | 140 | 44.11 | 43.5245538453335 | 0.585446154666526 | 141 | 44.2661 | 43.5126323328626 | 0.753467667137395 | 142 | 44.361 | 43.5007108203917 | 0.860289179608257 | 143 | 44.099 | 43.4887893079209 | 0.610210692079124 | 144 | 43.8435 | 43.47686779545 | 0.366632204549993 | 145 | 43.8914 | 43.4649462829791 | 0.426453717020858 | 146 | 44.217 | 43.4530247705083 | 0.763975229491727 | 147 | 44.506 | 43.4411032580374 | 1.06489674196259 | 148 | 44.54 | 43.4291817455665 | 1.11081825443346 | 149 | 44.4465 | 43.4172602330957 | 1.02923976690433 | 150 | 44.842 | 43.4053387206248 | 1.43666127937519 | 151 | 44.8946 | 43.3934172081539 | 1.50118279184606 | 152 | 44.951 | 43.3814956956831 | 1.56950430431693 | 153 | 45.445 | 43.3695741832122 | 2.0754258167878 | 154 | 45.0035 | 43.3576526707413 | 1.64584732925867 | 155 | 45.769 | 43.3457311582705 | 2.42326884172953 | 156 | 46.09 | 43.3338096457996 | 2.7561903542004 | 157 | 45.412 | 43.3218881333287 | 2.09011186667126 | 158 | 45.12 | 43.3099666208579 | 1.81003337914213 | 159 | 45.48 | 43.298045108387 | 2.18195489161299 | 160 | 45.105 | 43.2861235959161 | 1.81887640408386 | 161 | 45.056 | 43.2742020834453 | 1.78179791655473 | 162 | 45.22 | 43.2622805709744 | 1.9577194290256 | 163 | 45.39 | 43.2503590585035 | 2.13964094149646 | 164 | 45.041 | 43.2384375460327 | 1.80256245396733 | 165 | 44.9399 | 43.2265160335618 | 1.7133839664382 | 166 | 44.9315 | 43.2145945210909 | 1.71690547890906 | 167 | 45.1935 | 43.2026730086201 | 1.99082699137993 | 168 | 45.3466 | 43.1907514961492 | 2.1558485038508 | 169 | 45.4645 | 43.1788299836783 | 2.28567001632167 | 170 | 45.5685 | 43.1669084712075 | 2.40159152879253 | 171 | 45.3921 | 43.1549869587366 | 2.2371130412634 | 172 | 45.34 | 43.1430654462657 | 2.19693455373427 | 173 | 45.1308 | 43.1311439337949 | 1.99965606620513 | 174 | 45.1005 | 43.119222421324 | 1.981277578676 | 175 | 45.37 | 43.1073009088531 | 2.26269909114686 | 176 | 45.2 | 43.0953793963823 | 2.10462060361774 | 177 | 44.9614 | 43.0834578839114 | 1.8779421160886 | 178 | 44.8015 | 43.0715363714405 | 1.72996362855946 | 179 | 44.9152 | 43.0596148589697 | 1.85558514103033 | 180 | 45.095 | 43.0476933464988 | 2.0473066535012 | 181 | 44.9271 | 43.0357718340279 | 1.89132816597207 | 182 | 44.6026 | 43.0238503215571 | 1.57874967844294 | 183 | 44.5 | 43.0119288090862 | 1.4880711909138 | 184 | 44.54 | 43.0000072966153 | 1.53999270338467 | 185 | 44.5532 | 42.9880857841445 | 1.56511421585553 | 186 | 44.407 | 42.9761642716736 | 1.4308357283264 | 187 | 44.259 | 42.9642427592027 | 1.29475724079727 | 188 | 44.1365 | 42.9523212467319 | 1.18417875326813 | 189 | 44.112 | 42.940399734261 | 1.171600265739 | 190 | 43.8814 | 42.9284782217901 | 0.952921778209868 | 191 | 43.98 | 42.9165567093193 | 1.06344329068073 | 192 | 43.7294 | 42.9046351968484 | 0.8247648031516 | 193 | 43.9119 | 42.8927136843775 | 1.01918631562247 | 194 | 43.955 | 42.8807921719067 | 1.07420782809333 | 195 | 43.9 | 42.8688706594358 | 1.0311293405642 | 196 | 43.7065 | 42.8569491469649 | 0.849550853035068 | 197 | 43.6939 | 42.8450276344941 | 0.848872365505936 | 198 | 43.6587 | 42.8331061220232 | 0.825593877976807 | 199 | 43.5885 | 42.8211846095523 | 0.767315390447674 | 200 | 43.8885 | 42.8092630970815 | 1.07923690291854 | 201 | 43.8216 | 42.7973415846106 | 1.0242584153894 | 202 | 43.751 | 42.7854200721397 | 0.965579927860269 | 203 | 43.699 | 42.7734985596689 | 0.925501440331136 | 204 | 43.7425 | 42.761577047198 | 0.980922952802004 | 205 | 43.639 | 42.7496555347271 | 0.889344465272874 | 206 | 43.589 | 42.7377340222563 | 0.851265977743737 | 207 | 43.606 | 42.7258125097854 | 0.880187490214607 | 208 | 43.5325 | 42.7138909973145 | 0.818609002685471 | 209 | 43.385 | 42.7019694848437 | 0.683030515156337 | 210 | 43.3745 | 42.6900479723728 | 0.684452027627203 | 211 | 43.236 | 42.6781264599019 | 0.55787354009807 | 212 | 43.1957 | 42.6662049474311 | 0.529495052568941 | 213 | 43.01 | 42.6542834349602 | 0.355716565039804 | 214 | 43.1401 | 42.6423619224893 | 0.49773807751067 | 215 | 43.0487 | 42.6304404100185 | 0.418259589981536 | 216 | 43.1972 | 42.6185188975476 | 0.578681102452409 | 217 | 43.2461 | 42.6065973850767 | 0.639502614923272 | 218 | 43.0866 | 42.5946758726059 | 0.491924127394137 | 219 | 43.0865 | 42.582754360135 | 0.503745639865008 | 220 | 43.0194 | 42.5708328476641 | 0.448567152335871 | 221 | 43.08 | 42.5589113351933 | 0.521088664806739 | 222 | 43.007 | 42.5469898227224 | 0.460010177277606 | 223 | 42.9278 | 42.5350683102515 | 0.392731689748472 | 224 | 42.9545 | 42.5231467977807 | 0.431353202219344 | 225 | 42.7995 | 42.5112252853098 | 0.28827471469021 | 226 | 42.9048 | 42.4993037728389 | 0.405496227161077 | 227 | 42.9468 | 42.4873822603681 | 0.459417739631945 | 228 | 43.08 | 42.4754607478972 | 0.604539252102807 | 229 | 43.1274 | 42.4635392354263 | 0.663860764573677 | 230 | 43.1625 | 42.4516177229555 | 0.710882277044544 | 231 | 43.45 | 42.4396962104846 | 1.01030378951541 | 232 | 43.831 | 42.4277746980137 | 1.40322530198628 | 233 | 43.7769 | 42.4158531855429 | 1.36104681445714 | 234 | 43.98 | 42.403931673072 | 1.57606832692801 | 235 | 43.92 | 42.3920101606011 | 1.52798983939888 | 236 | 44.11 | 42.3800886481303 | 1.72991135186974 | 237 | 44.03 | 42.3681671356594 | 1.66183286434061 | 238 | 44.1582 | 42.3562456231885 | 1.80195437681148 | 239 | 44.14 | 42.3443241107177 | 1.79567588928234 | 240 | 45.07 | 42.3324025982468 | 2.73759740175321 | 241 | 44.8737 | 42.3204810857759 | 2.55321891422408 | 242 | 44.8505 | 42.3085595733051 | 2.54194042669494 | 243 | 44.373 | 42.2966380608342 | 2.07636193916581 | 244 | 44.075 | 42.2847165483633 | 1.79028345163668 | 245 | 43.9725 | 42.2727950358925 | 1.69970496410754 | 246 | 44.094 | 42.2608735234216 | 1.83312647657841 | 247 | 44.191 | 42.2489520109507 | 1.94204798904928 | 248 | 43.9685 | 42.2370304984799 | 1.73146950152014 | 249 | 43.79 | 42.225108986009 | 1.56489101399101 | 250 | 43.6041 | 42.2131874735381 | 1.39091252646188 | 251 | 43.1707 | 42.2012659610673 | 0.969434038932742 | 252 | 42.71 | 42.1893444485964 | 0.520655551403614 | 253 | 42.755 | 42.1774229361255 | 0.577577063874482 | 254 | 43.3316 | 42.1655014236547 | 1.16609857634535 | 255 | 43.5 | 42.1535799111838 | 1.34642008881621 | 256 | 43.154 | 42.1416583987129 | 1.01234160128708 | 257 | 43.16 | 42.129736886242 | 1.03026311375794 | 258 | 43.1 | 42.1178153737712 | 0.982184626228815 | 259 | 42.85 | 42.1058938613003 | 0.744106138699682 | 260 | 42.6175 | 42.0939723488295 | 0.523527651170547 | 261 | 42.5 | 42.0820508363586 | 0.417949163641414 | 262 | 42.6285 | 42.0701293238877 | 0.558370676112284 | 263 | 42.6974 | 42.0582078114168 | 0.63919218858315 | 264 | 43.04 | 42.046286298946 | 0.993713701054014 | 265 | 42.673 | 42.0343647864751 | 0.638635213524884 | 266 | 42.5015 | 42.0224432740043 | 0.479056725995749 | 267 | 42.538 | 42.0105217615334 | 0.527478238466612 | 268 | 42.3735 | 41.9986002490625 | 0.374899750937482 | 269 | 42.014 | 41.9866787365916 | 0.0273212634083519 | 270 | 41.8618 | 41.9747572241208 | -0.112957224120782 | 271 | 42.1824 | 41.9628357116499 | 0.219564288350084 | 272 | 42.605 | 41.9509141991791 | 0.654085800820946 | 273 | 42.7345 | 41.9389926867082 | 0.795507313291813 | 274 | 42.615 | 41.9270711742373 | 0.687928825762685 | 275 | 42.465 | 41.9151496617664 | 0.549850338233553 | 276 | 42.34 | 41.9032281492956 | 0.43677185070442 | 277 | 42.251 | 41.8913066368247 | 0.359693363175281 | 278 | 42.0475 | 41.8793851243539 | 0.16811487564615 | 279 | 41.86 | 41.867463611883 | -0.00746361188298318 | 280 | 41.685 | 41.8555420994121 | -0.170542099412113 | 281 | 41.735 | 41.8436205869412 | -0.10862058694125 | 282 | 41.706 | 41.8316990744704 | -0.125699074470379 | 283 | 41.764 | 41.8197775619995 | -0.0557775619995124 | 284 | 41.58 | 41.8078560495286 | -0.22785604952865 | 285 | 41.373 | 41.7959345370578 | -0.422934537057784 | 286 | 41.088 | 41.7840130245869 | -0.696013024586914 | 287 | 41.137 | 41.772091512116 | -0.635091512116047 | 288 | 41.1587 | 41.7601699996452 | -0.601469999645178 | 289 | 41.185 | 41.7482484871743 | -0.563248487174312 | 290 | 40.819 | 41.7363269747034 | -0.917326974703445 | 291 | 40.633 | 41.7244054622326 | -1.09140546223258 | 292 | 40.858 | 41.7124839497617 | -0.854483949761717 | 293 | 40.794 | 41.7005624372908 | -0.90656243729085 | 294 | 40.69 | 41.68864092482 | -0.998640924819982 | 295 | 40.595 | 41.6767194123491 | -1.08171941234911 | 296 | 40.7305 | 41.6647978998782 | -0.934297899878247 | 297 | 40.5471 | 41.6528763874074 | -1.10577638740738 | 298 | 40.5145 | 41.6409548749365 | -1.12645487493651 | 299 | 40.7 | 41.6290333624656 | -0.929033362465643 | 300 | 40.7 | 41.6171118499948 | -0.917111849994776 | 301 | 40.522 | 41.6051903375239 | -1.08319033752391 | 302 | 40.6165 | 41.593268825053 | -0.976768825053043 | 303 | 40.3985 | 41.5813473125822 | -1.18284731258218 | 304 | 40.2815 | 41.5694258001113 | -1.28792580011131 | 305 | 40.245 | 41.5575042876404 | -1.31250428764045 | 306 | 40.3055 | 41.5455827751696 | -1.24008277516958 | 307 | 40.2696 | 41.5336612626987 | -1.26406126269871 | 308 | 40.251 | 41.5217397502278 | -1.27073975022785 | 309 | 40.127 | 41.509818237757 | -1.38281823775698 | 310 | 39.95 | 41.4978967252861 | -1.54789672528611 | 311 | 39.675 | 41.4859752128152 | -1.81097521281525 | 312 | 39.954 | 41.4740537003444 | -1.52005370034438 | 313 | 39.8828 | 41.4621321878735 | -1.57933218787351 | 314 | 39.62 | 41.4502106754026 | -1.83021067540265 | 315 | 39.5415 | 41.4382891629318 | -1.89678916293178 | 316 | 39.525 | 41.4263676504609 | -1.90136765046091 | 317 | 39.8145 | 41.41444613799 | -1.59994613799004 | 318 | 39.6675 | 41.4025246255192 | -1.73502462551918 | 319 | 39.695 | 41.3906031130483 | -1.69560311304831 | 320 | 39.5985 | 41.3786816005774 | -1.78018160057744 | 321 | 39.2735 | 41.3667600881066 | -2.09326008810658 | 322 | 39.1435 | 41.3548385756357 | -2.21133857563571 | 323 | 39.1742 | 41.3429170631648 | -2.16871706316484 | 324 | 39.2025 | 41.330995550694 | -2.12849555069397 | 325 | 39.3946 | 41.3190740382231 | -1.92447403822311 | 326 | 39.5025 | 41.3071525257522 | -1.80465252575224 | 327 | 39.4845 | 41.2952310132814 | -1.81073101328138 | 328 | 39.33 | 41.2833095008105 | -1.95330950081051 | 329 | 39.295 | 41.2713879883396 | -1.97638798833964 | 330 | 39.2675 | 41.2594664758688 | -1.99196647586878 | 331 | 39.2535 | 41.2475449633979 | -1.9940449633979 | 332 | 38.9845 | 41.235623450927 | -2.25112345092704 | 333 | 38.9285 | 41.2237019384562 | -2.29520193845617 | 334 | 38.8592 | 41.2117804259853 | -2.35258042598531 | 335 | 38.77 | 41.1998589135144 | -2.42985891351444 | 336 | 38.79 | 41.1879374010436 | -2.39793740104357 | 337 | 38.8205 | 41.1760158885727 | -2.3555158885727 | 338 | 38.7577 | 41.1640943761018 | -2.40639437610184 | 339 | 38.839 | 41.152172863631 | -2.31317286363097 | 340 | 38.78 | 41.1402513511601 | -2.3602513511601 | 341 | 38.54 | 41.1283298386892 | -2.58832983868924 | 342 | 38.511 | 41.1164083262184 | -2.60540832621837 | 343 | 38.615 | 41.1044868137475 | -2.4894868137475 | 344 | 38.898 | 41.0925653012766 | -2.19456530127664 | 345 | 38.8691 | 41.0806437888058 | -2.21154378880577 | 346 | 38.384 | 41.0687222763349 | -2.6847222763349 | 347 | 38.0277 | 41.056800763864 | -3.02910076386403 | 348 | 37.72 | 41.0448792513932 | -3.32487925139317 | 349 | 37.7325 | 41.0329577389223 | -3.3004577389223 | 350 | 37.626 | 41.0210362264514 | -3.39503622645144 | 351 | 37.603 | 41.0091147139806 | -3.40611471398057 | 352 | 37.78 | 40.9971932015097 | -3.2171932015097 | 353 | 38.559 | 40.9852716890388 | -2.42627168903884 | 354 | 39.0459 | 40.973350176568 | -1.92745017656797 | 355 | 38.45 | 40.9614286640971 | -2.5114286640971 | 356 | 38.505 | 40.9495071516262 | -2.44450715162623 | 357 | 38.2885 | 40.9375856391554 | -2.64908563915537 | 358 | 37.795 | 40.9256641266845 | -3.1306641266845 | 359 | 37.92 | 40.9137426142136 | -2.99374261421363 | 360 | 38.034 | 40.9018211017428 | -2.86782110174277 | 361 | 38.029 | 40.8898995892719 | -2.8608995892719 | 362 | 38.063 | 40.877978076801 | -2.81497807680103 | 363 | 37.9828 | 40.8660565643302 | -2.88325656433017 | 364 | 37.745 | 40.8541350518593 | -3.1091350518593 | 365 | 37.969 | 40.8422135393884 | -2.87321353938843 | 366 | 38.007 | 40.8302920269176 | -2.82329202691757 | 367 | 38.0615 | 40.8183705144467 | -2.7568705144467 | 368 | 38.0912 | 40.8064490019758 | -2.71524900197583 | 369 | 38.091 | 40.794527489505 | -2.70352748950497 | 370 | 38.431 | 40.7826059770341 | -2.3516059770341 | 371 | 38.48 | 40.7706844645632 | -2.29068446456324 | 372 | 38.35 | 40.7587629520924 | -2.40876295209237 | 373 | 38.214 | 40.7468414396215 | -2.5328414396215 | 374 | 38.384 | 40.7349199271506 | -2.35091992715063 | 375 | 38.1375 | 40.7229984146798 | -2.58549841467976 | 376 | 38.0075 | 40.7110769022089 | -2.7035769022089 | 377 | 38.0524 | 40.699155389738 | -2.64675538973803 | 378 | 38.235 | 40.6872338772672 | -2.45223387726717 | 379 | 38.31 | 40.6753123647963 | -2.3653123647963 | 380 | 38.2615 | 40.6633908523254 | -2.40189085232543 | 381 | 38.13 | 40.6514693398546 | -2.52146933985456 | 382 | 38.282 | 40.6395478273837 | -2.3575478273837 | 383 | 38.581 | 40.6276263149128 | -2.04662631491283 | 384 | 39.0801 | 40.615704802442 | -1.53560480244196 | 385 | 39.0387 | 40.6037832899711 | -1.5650832899711 | 386 | 39.1015 | 40.5918617775002 | -1.49036177750023 | 387 | 39.1503 | 40.5799402650294 | -1.42964026502936 | 388 | 39.14 | 40.5680187525585 | -1.4280187525585 | 389 | 39.0275 | 40.5560972400876 | -1.52859724008763 | 390 | 38.7665 | 40.5441757276168 | -1.77767572761676 | 391 | 38.691 | 40.5322542151459 | -1.84125421514589 | 392 | 38.849 | 40.520332702675 | -1.67133270267503 | 393 | 39.1644 | 40.5084111902042 | -1.34401119020416 | 394 | 39.4907 | 40.4964896777333 | -1.0057896777333 | 395 | 39.5095 | 40.4845681652624 | -0.975068165262427 | 396 | 39.2795 | 40.4726466527916 | -1.19314665279156 | 397 | 39.0437 | 40.4607251403207 | -1.41702514032069 | 398 | 39.1355 | 40.4488036278498 | -1.31330362784983 | 399 | 39.143 | 40.436882115379 | -1.29388211537896 | 400 | 39.185 | 40.4249606029081 | -1.23996060290809 | 401 | 39.355 | 40.4130390904372 | -1.05803909043723 | 402 | 39.297 | 40.4011175779664 | -1.10411757796636 | 403 | 39.4514 | 40.3891960654955 | -0.937796065495495 | 404 | 39.4173 | 40.3772745530246 | -0.95997455302463 | 405 | 39.4305 | 40.3653530405538 | -0.934853040553759 | 406 | 39.384 | 40.3534315280829 | -0.969431528082894 | 407 | 39.3261 | 40.341510015612 | -1.01541001561203 | 408 | 39.301 | 40.3295885031412 | -1.02858850314116 | 409 | 39.35 | 40.3176669906703 | -0.967666990670292 | 410 | 39.64 | 40.3057454781994 | -0.665745478199426 | 411 | 39.4723 | 40.2938239657286 | -0.821523965728563 | 412 | 39.3685 | 40.2819024532577 | -0.913402453257696 | 413 | 39.1906 | 40.2699809407868 | -1.07938094078682 | 414 | 39.1183 | 40.258059428316 | -1.13975942831596 | 415 | 39.1325 | 40.2461379158451 | -1.11363791584509 | 416 | 39.1144 | 40.2342164033742 | -1.11981640337422 | 417 | 39.1614 | 40.2222948909034 | -1.06089489090336 | 418 | 39.0908 | 40.2103733784325 | -1.11957337843249 | 419 | 38.9199 | 40.1984518659616 | -1.27855186596163 | 420 | 38.913 | 40.1865303534908 | -1.27353035349076 | 421 | 38.9655 | 40.1746088410199 | -1.20910884101989 | 422 | 39.029 | 40.162687328549 | -1.13368732854902 | 423 | 39.089 | 40.1507658160782 | -1.06176581607816 | 424 | 39.07 | 40.1388443036073 | -1.06884430360729 | 425 | 39.0046 | 40.1269227911364 | -1.12232279113642 | 426 | 39.1038 | 40.1150012786656 | -1.01120127866556 | 427 | 39.3572 | 40.1030797661947 | -0.745879766194692 | 428 | 39.388 | 40.0911582537238 | -0.703158253723826 | 429 | 39.382 | 40.079236741253 | -0.697236741252959 | 430 | 39.4398 | 40.0673152287821 | -0.627515228782092 | 431 | 39.2537 | 40.0553937163112 | -0.801693716311221 | 432 | 39.2301 | 40.0434722038404 | -0.813372203840356 | 433 | 39.2763 | 40.0315506913695 | -0.755250691369491 | 434 | 39.282 | 40.0196291788986 | -0.737629178898626 | 435 | 39.3325 | 40.0077076664278 | -0.675207666427753 | 436 | 39.557 | 39.9957861539569 | -0.438786153956887 | 437 | 40.1 | 39.983864641486 | 0.116135358513979 | 438 | 40.5875 | 39.9719431290152 | 0.615556870984843 | 439 | 40.485 | 39.9600216165443 | 0.524978383455711 | 440 | 40.55 | 39.9481001040734 | 0.601899895926576 | 441 | 40.7955 | 39.9361785916026 | 0.859321408397442 | 442 | 41.456 | 39.9242570791317 | 1.53174292086832 | 443 | 41.3557 | 39.9123355666608 | 1.44336443333918 | 444 | 41.374 | 39.90041405419 | 1.47358594581005 | 445 | 41.2235 | 39.8884925417191 | 1.33500745828091 | 446 | 41.15 | 39.8765710292482 | 1.27342897075178 | 447 | 41.3725 | 39.8646495167774 | 1.50785048322265 | 448 | 41.6923 | 39.8527280043065 | 1.83957199569352 | 449 | 41.8 | 39.8408064918356 | 1.95919350816438 | 450 | 41.8045 | 39.8288849793648 | 1.97561502063524 | 451 | 41.64 | 39.8169634668939 | 1.82303653310611 | 452 | 41.36 | 39.805041954423 | 1.55495804557698 | 453 | 41.5745 | 39.7931204419522 | 1.78137955804785 | 454 | 41.593 | 39.7811989294813 | 1.81180107051872 | 455 | 41.575 | 39.7692774170104 | 1.80572258298958 | 456 | 41.68 | 39.7573559045396 | 1.92264409546045 | 457 | 42.0055 | 39.7454343920687 | 2.26006560793131 | 458 | 42.3188 | 39.7335128795978 | 2.58528712040218 | 459 | 42.565 | 39.721591367127 | 2.84340863287305 | 460 | 42.3575 | 39.7096698546561 | 2.64783014534392 | 461 | 42.29 | 39.6977483421852 | 2.59225165781478 | 462 | 42.695 | 39.6858268297144 | 3.00917317028565 | 463 | 43.0028 | 39.6739053172435 | 3.32889468275652 | 464 | 42.4507 | 39.6619838047726 | 2.78871619522738 | 465 | 42.4705 | 39.6500622923017 | 2.82043770769825 | 466 | 42.2875 | 39.6381407798309 | 2.64935922016912 | 467 | 42.3172 | 39.62621926736 | 2.69098073263998 | 468 | 42.55 | 39.6142977548892 | 2.93570224511085 | 469 | 42.7523 | 39.6023762424183 | 3.14992375758171 | 470 | 42.8993 | 39.5904547299474 | 3.30884527005258 | 471 | 43.1555 | 39.5785332174765 | 3.57696678252345 | 472 | 43.1885 | 39.5666117050057 | 3.62188829499431 | 473 | 43.43 | 39.5546901925348 | 3.87530980746518 | 474 | 43.31 | 39.542768680064 | 3.76723131993605 | 475 | 42.815 | 39.5308471675931 | 3.28415283240692 | 476 | 42.7017 | 39.5189256551222 | 3.18277434487779 | 477 | 42.28 | 39.5070041426513 | 2.77299585734865 | 478 | 41.922 | 39.4950826301805 | 2.42691736981952 | 479 | 42.17 | 39.4831611177096 | 2.68683888229039 | 480 | 42.1962 | 39.4712396052388 | 2.72496039476125 | 481 | 42.3215 | 39.4593180927679 | 2.86218190723212 | 482 | 42.3173 | 39.447396580297 | 2.86990341970299 | 483 | 42.391 | 39.4354750678261 | 2.95552493217385 | 484 | 42.463 | 39.4235535553553 | 3.03944644464472 | 485 | 42.4125 | 39.4116320428844 | 3.00086795711559 | 486 | 42.304 | 39.3997105304136 | 2.90428946958645 | 487 | 41.813 | 39.3877890179427 | 2.42521098205732 | 488 | 41.651 | 39.3758675054718 | 2.27513249452819 | 489 | 41.539 | 39.3639459930009 | 2.17505400699905 | 490 | 41.1575 | 39.3520244805301 | 1.80547551946992 | 491 | 40.9545 | 39.3401029680592 | 1.61439703194079 |
Goldfeld-Quandt test for Heteroskedasticity | p-values | Alternative Hypothesis | breakpoint index | greater | 2-sided | less | 5 | 0.304951347121977 | 0.609902694243955 | 0.695048652878023 | 6 | 0.194014609951066 | 0.388029219902132 | 0.805985390048934 | 7 | 0.103479341575483 | 0.206958683150965 | 0.896520658424517 | 8 | 0.0546407060934296 | 0.109281412186859 | 0.94535929390657 | 9 | 0.0260837651313958 | 0.0521675302627916 | 0.973916234868604 | 10 | 0.011802972851275 | 0.02360594570255 | 0.988197027148725 | 11 | 0.0063696814405793 | 0.0127393628811586 | 0.99363031855942 | 12 | 0.00325755830702002 | 0.00651511661404004 | 0.99674244169298 | 13 | 0.00151104131791694 | 0.00302208263583388 | 0.998488958682083 | 14 | 0.00197543087865427 | 0.00395086175730854 | 0.998024569121346 | 15 | 0.00239430725819428 | 0.00478861451638856 | 0.997605692741806 | 16 | 0.00280569619492767 | 0.00561139238985535 | 0.997194303805072 | 17 | 0.0017529682348608 | 0.0035059364697216 | 0.99824703176514 | 18 | 0.00084576233995231 | 0.00169152467990462 | 0.999154237660048 | 19 | 0.000630541748169837 | 0.00126108349633967 | 0.99936945825183 | 20 | 0.0009788714369009 | 0.0019577428738018 | 0.9990211285631 | 21 | 0.000796886985841813 | 0.00159377397168363 | 0.999203113014158 | 22 | 0.000633648561599232 | 0.00126729712319846 | 0.9993663514384 | 23 | 0.000465256721197128 | 0.000930513442394256 | 0.999534743278803 | 24 | 0.000262977169507878 | 0.000525954339015757 | 0.999737022830492 | 25 | 0.000133469928153424 | 0.000266939856306847 | 0.999866530071847 | 26 | 6.73391866223504e-05 | 0.000134678373244701 | 0.999932660813378 | 27 | 3.36014757833915e-05 | 6.7202951566783e-05 | 0.999966398524217 | 28 | 2.30537966303024e-05 | 4.61075932606047e-05 | 0.99997694620337 | 29 | 6.55179233610096e-05 | 0.000131035846722019 | 0.999934482076639 | 30 | 0.000789094817960217 | 0.00157818963592043 | 0.99921090518204 | 31 | 0.00458621868329108 | 0.00917243736658215 | 0.995413781316709 | 32 | 0.00845629555509347 | 0.0169125911101869 | 0.991543704444907 | 33 | 0.00824181810872057 | 0.0164836362174411 | 0.99175818189128 | 34 | 0.0102310295451818 | 0.0204620590903635 | 0.989768970454818 | 35 | 0.0104591065584914 | 0.0209182131169829 | 0.989540893441509 | 36 | 0.0116177130700402 | 0.0232354261400804 | 0.98838228692996 | 37 | 0.0103989304583943 | 0.0207978609167886 | 0.989601069541606 | 38 | 0.00996283515761704 | 0.0199256703152341 | 0.990037164842383 | 39 | 0.0102713233965315 | 0.020542646793063 | 0.989728676603469 | 40 | 0.0122342688261856 | 0.0244685376523712 | 0.987765731173814 | 41 | 0.0145640728308974 | 0.0291281456617948 | 0.985435927169103 | 42 | 0.0163005813274868 | 0.0326011626549736 | 0.983699418672513 | 43 | 0.0165825804933552 | 0.0331651609867105 | 0.983417419506645 | 44 | 0.0215842480611734 | 0.0431684961223468 | 0.978415751938827 | 45 | 0.0293923936288915 | 0.058784787257783 | 0.970607606371108 | 46 | 0.034151201859797 | 0.068302403719594 | 0.965848798140203 | 47 | 0.0480137210041116 | 0.0960274420082231 | 0.951986278995888 | 48 | 0.0635378465773169 | 0.127075693154634 | 0.936462153422683 | 49 | 0.0792203863180831 | 0.158440772636166 | 0.920779613681917 | 50 | 0.0875480988549391 | 0.175096197709878 | 0.912451901145061 | 51 | 0.102924178699284 | 0.205848357398569 | 0.897075821300716 | 52 | 0.104584365344447 | 0.209168730688894 | 0.895415634655553 | 53 | 0.116808379592077 | 0.233616759184155 | 0.883191620407923 | 54 | 0.115064415831978 | 0.230128831663957 | 0.884935584168022 | 55 | 0.103978141360371 | 0.207956282720742 | 0.896021858639629 | 56 | 0.0963122830360598 | 0.19262456607212 | 0.90368771696394 | 57 | 0.0926970175196097 | 0.185394035039219 | 0.90730298248039 | 58 | 0.0900652669971861 | 0.180130533994372 | 0.909934733002814 | 59 | 0.083890806719541 | 0.167781613439082 | 0.91610919328046 | 60 | 0.0781355338224574 | 0.156271067644915 | 0.921864466177543 | 61 | 0.0834992463136626 | 0.166998492627325 | 0.916500753686337 | 62 | 0.085206924265367 | 0.170413848530734 | 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0.223852950440873 | 0.888073524779563 | 94 | 0.110571762038545 | 0.22114352407709 | 0.889428237961455 | 95 | 0.108421945922104 | 0.216843891844208 | 0.891578054077896 | 96 | 0.105598658332404 | 0.211197316664808 | 0.894401341667596 | 97 | 0.101264019510296 | 0.202528039020592 | 0.898735980489704 | 98 | 0.0949456772372115 | 0.189891354474423 | 0.905054322762789 | 99 | 0.0886902476987766 | 0.177380495397553 | 0.911309752301223 | 100 | 0.0812027118283068 | 0.162405423656614 | 0.918797288171693 | 101 | 0.076066590814902 | 0.152133181629804 | 0.923933409185098 | 102 | 0.0716535384221927 | 0.143307076844385 | 0.928346461577807 | 103 | 0.0658392053497479 | 0.131678410699496 | 0.934160794650252 | 104 | 0.0596213204868016 | 0.119242640973603 | 0.940378679513198 | 105 | 0.0533544778949033 | 0.106708955789807 | 0.946645522105097 | 106 | 0.0472633543912089 | 0.0945267087824178 | 0.952736645608791 | 107 | 0.0415601211945829 | 0.0831202423891659 | 0.958439878805417 | 108 | 0.0366217551296637 | 0.0732435102593274 | 0.963378244870336 | 109 | 0.0323230842384682 | 0.0646461684769364 | 0.967676915761532 | 110 | 0.0284457932745029 | 0.0568915865490058 | 0.971554206725497 | 111 | 0.0245464681186697 | 0.0490929362373394 | 0.97545353188133 | 112 | 0.0221111960926963 | 0.0442223921853925 | 0.977888803907304 | 113 | 0.0194916388345242 | 0.0389832776690484 | 0.980508361165476 | 114 | 0.0173346011495601 | 0.0346692022991202 | 0.98266539885044 | 115 | 0.0153549838479497 | 0.0307099676958993 | 0.98464501615205 | 116 | 0.0134108587268365 | 0.026821717453673 | 0.986589141273164 | 117 | 0.0114674192382135 | 0.0229348384764269 | 0.988532580761787 | 118 | 0.00979931971893826 | 0.0195986394378765 | 0.990200680281062 | 119 | 0.00833120749988137 | 0.0166624149997627 | 0.991668792500119 | 120 | 0.00675746053610311 | 0.0135149210722062 | 0.993242539463897 | 121 | 0.00548402045531846 | 0.0109680409106369 | 0.994515979544682 | 122 | 0.00452680263282096 | 0.00905360526564191 | 0.99547319736718 | 123 | 0.0036294267901998 | 0.0072588535803996 | 0.9963705732098 | 124 | 0.0028983036745641 | 0.00579660734912819 | 0.997101696325436 | 125 | 0.00229837774802355 | 0.00459675549604711 | 0.997701622251976 | 126 | 0.00181311016997781 | 0.00362622033995562 | 0.998186889830022 | 127 | 0.00142908903143494 | 0.00285817806286988 | 0.998570910968565 | 128 | 0.0011216493890979 | 0.0022432987781958 | 0.998878350610902 | 129 | 0.000874816265570948 | 0.0017496325311419 | 0.999125183734429 | 130 | 0.000674480359543684 | 0.00134896071908737 | 0.999325519640456 | 131 | 0.000517721642942448 | 0.0010354432858849 | 0.999482278357058 | 132 | 0.000405010076857774 | 0.000810020153715548 | 0.999594989923142 | 133 | 0.000377500057565379 | 0.000755000115130758 | 0.999622499942435 | 134 | 0.000413753519920227 | 0.000827507039840454 | 0.99958624648008 | 135 | 0.000357436973412231 | 0.000714873946824461 | 0.999642563026588 | 136 | 0.000289450246947723 | 0.000578900493895446 | 0.999710549753052 | 137 | 0.000234511336095993 | 0.000469022672191985 | 0.999765488663904 | 138 | 0.000184980371951424 | 0.000369960743902848 | 0.999815019628049 | 139 | 0.000139584763135855 | 0.00027916952627171 | 0.999860415236864 | 140 | 0.000104357533605688 | 0.000208715067211377 | 0.999895642466394 | 141 | 7.7680131023144e-05 | 0.000155360262046288 | 0.999922319868977 | 142 | 5.77465536060185e-05 | 0.000115493107212037 | 0.999942253446394 | 143 | 4.25858317371526e-05 | 8.51716634743052e-05 | 0.999957414168263 | 144 | 3.16873462947663e-05 | 6.33746925895327e-05 | 0.999968312653705 | 145 | 2.33706306595974e-05 | 4.67412613191947e-05 | 0.99997662936934 | 146 | 1.69986957765008e-05 | 3.39973915530017e-05 | 0.999983001304223 | 147 | 1.2515821813813e-05 | 2.50316436276259e-05 | 0.999987484178186 | 148 | 9.20885924209697e-06 | 1.84177184841939e-05 | 0.999990791140758 | 149 | 6.68831047024402e-06 | 1.3376620940488e-05 | 0.99999331168953 | 150 | 5.11249832314169e-06 | 1.02249966462834e-05 | 0.999994887501677 | 151 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165 | 3.92228267841516e-07 | 7.84456535683032e-07 | 0.999999607771732 | 166 | 2.97168903634423e-07 | 5.94337807268845e-07 | 0.999999702831096 | 167 | 2.39247649124976e-07 | 4.78495298249953e-07 | 0.999999760752351 | 168 | 2.01858846993777e-07 | 4.03717693987554e-07 | 0.999999798141153 | 169 | 1.77623167167982e-07 | 3.55246334335963e-07 | 0.999999822376833 | 170 | 1.62895940249356e-07 | 3.25791880498713e-07 | 0.99999983710406 | 171 | 1.40414657230642e-07 | 2.80829314461283e-07 | 0.999999859585343 | 172 | 1.1937734026234e-07 | 2.38754680524679e-07 | 0.99999988062266 | 173 | 9.60112605931227e-08 | 1.92022521186245e-07 | 0.99999990398874 | 174 | 7.69330374207103e-08 | 1.53866074841421e-07 | 0.999999923066963 | 175 | 6.6876223953963e-08 | 1.33752447907926e-07 | 0.999999933123776 | 176 | 5.54950801847999e-08 | 1.109901603696e-07 | 0.99999994450492 | 177 | 4.37738864025158e-08 | 8.75477728050315e-08 | 0.999999956226114 | 178 | 3.37748500618186e-08 | 6.75497001236372e-08 | 0.99999996622515 | 179 | 2.6655675198019e-08 | 5.3311350396038e-08 | 0.999999973344325 | 180 | 2.1996000477503e-08 | 4.39920009550061e-08 | 0.999999978004 | 181 | 1.76048676040668e-08 | 3.52097352081337e-08 | 0.999999982395132 | 182 | 1.35694220793272e-08 | 2.71388441586544e-08 | 0.999999986430578 | 183 | 1.04382710306723e-08 | 2.08765420613446e-08 | 0.99999998956173 | 184 | 8.07617113067008e-09 | 1.61523422613402e-08 | 0.99999999192383 | 185 | 6.28158940030763e-09 | 1.25631788006153e-08 | 0.99999999371841 | 186 | 4.87670628557646e-09 | 9.75341257115292e-09 | 0.999999995123294 | 187 | 3.80375725686129e-09 | 7.60751451372259e-09 | 0.999999996196243 | 188 | 2.99389310738215e-09 | 5.9877862147643e-09 | 0.999999997006107 | 189 | 2.36432962673241e-09 | 4.72865925346481e-09 | 0.99999999763567 | 190 | 1.92243694141149e-09 | 3.84487388282298e-09 | 0.999999998077563 | 191 | 1.53987009412383e-09 | 3.07974018824766e-09 | 0.99999999846013 | 192 | 1.28527642352919e-09 | 2.57055284705838e-09 | 0.999999998714724 | 193 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207 | 7.36508038004524e-11 | 1.47301607600905e-10 | 0.99999999992635 | 208 | 6.268671490749e-11 | 1.2537342981498e-10 | 0.999999999937313 | 209 | 5.48469471780203e-11 | 1.09693894356041e-10 | 0.999999999945153 | 210 | 4.79476291130377e-11 | 9.58952582260754e-11 | 0.999999999952052 | 211 | 4.31882382412746e-11 | 8.63764764825493e-11 | 0.999999999956812 | 212 | 3.91090518605447e-11 | 7.82181037210894e-11 | 0.99999999996089 | 213 | 3.72299052860369e-11 | 7.44598105720738e-11 | 0.99999999996277 | 214 | 3.37694422494532e-11 | 6.75388844989063e-11 | 0.99999999996623 | 215 | 3.12402427722074e-11 | 6.24804855444148e-11 | 0.99999999996876 | 216 | 2.76237982061419e-11 | 5.52475964122838e-11 | 0.999999999972376 | 217 | 2.41006121800821e-11 | 4.82012243601641e-11 | 0.9999999999759 | 218 | 2.17187261062405e-11 | 4.3437452212481e-11 | 0.999999999978281 | 219 | 1.9477279329908e-11 | 3.8954558659816e-11 | 0.999999999980523 | 220 | 1.76749954817556e-11 | 3.53499909635112e-11 | 0.999999999982325 | 221 | 1.57324381772218e-11 | 3.14648763544435e-11 | 0.999999999984268 | 222 | 1.41837925780707e-11 | 2.83675851561413e-11 | 0.999999999985816 | 223 | 1.29779600115837e-11 | 2.59559200231674e-11 | 0.999999999987022 | 224 | 1.17300149520355e-11 | 2.34600299040709e-11 | 0.99999999998827 | 225 | 1.09852664640289e-11 | 2.19705329280578e-11 | 0.999999999989015 | 226 | 9.93724388166281e-12 | 1.98744877633256e-11 | 0.999999999990063 | 227 | 8.8679571882362e-12 | 1.77359143764724e-11 | 0.999999999991132 | 228 | 7.71707953102418e-12 | 1.54341590620484e-11 | 0.999999999992283 | 229 | 6.67960182775046e-12 | 1.33592036555009e-11 | 0.99999999999332 | 230 | 5.77293534352159e-12 | 1.15458706870432e-11 | 0.999999999994227 | 231 | 4.99210089577644e-12 | 9.98420179155288e-12 | 0.999999999995008 | 232 | 4.60747237425863e-12 | 9.21494474851727e-12 | 0.999999999995393 | 233 | 4.27074185971825e-12 | 8.5414837194365e-12 | 0.99999999999573 | 234 | 4.25317763554625e-12 | 8.5063552710925e-12 | 0.999999999995747 | 235 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| 1.39517147328763e-09 | 2.79034294657525e-09 | 0.999999998604829 | 250 | 2.07184447033378e-09 | 4.14368894066756e-09 | 0.999999997928156 | 251 | 2.84956879856019e-09 | 5.69913759712038e-09 | 0.999999997150431 | 252 | 3.85663821088617e-09 | 7.71327642177233e-09 | 0.999999996143362 | 253 | 5.26814876521168e-09 | 1.05362975304234e-08 | 0.999999994731851 | 254 | 7.9850705544309e-09 | 1.59701411088618e-08 | 0.99999999201493 | 255 | 1.32044081718061e-08 | 2.64088163436121e-08 | 0.999999986795592 | 256 | 2.0366689438607e-08 | 4.0733378877214e-08 | 0.99999997963331 | 257 | 3.23577049459172e-08 | 6.47154098918344e-08 | 0.999999967642295 | 258 | 5.21144436158483e-08 | 1.04228887231697e-07 | 0.999999947885556 | 259 | 8.17963137094064e-08 | 1.63592627418813e-07 | 0.999999918203686 | 260 | 1.26955780632973e-07 | 2.53911561265945e-07 | 0.99999987304422 | 261 | 1.97735653656768e-07 | 3.95471307313537e-07 | 0.999999802264346 | 262 | 3.15604735430072e-07 | 6.31209470860145e-07 | 0.999999684395265 | 263 | 5.17789173413409e-07 | 1.03557834682682e-06 | 0.999999482210827 | 264 | 9.46515286190734e-07 | 1.89303057238147e-06 | 0.999999053484714 | 265 | 1.61697427127633e-06 | 3.23394854255267e-06 | 0.999998383025729 | 266 | 2.72902658878229e-06 | 5.45805317756459e-06 | 0.999997270973411 | 267 | 4.70591538112554e-06 | 9.41183076225108e-06 | 0.999995294084619 | 268 | 8.0175017064578e-06 | 1.60350034129156e-05 | 0.999991982498294 | 269 | 1.3323923690552e-05 | 2.6647847381104e-05 | 0.99998667607631 | 270 | 2.20181010330058e-05 | 4.40362020660116e-05 | 0.999977981898967 | 271 | 3.71214476290311e-05 | 7.42428952580623e-05 | 0.999962878552371 | 272 | 6.90191968142179e-05 | 0.000138038393628436 | 0.999930980803186 | 273 | 0.000136297149735961 | 0.000272594299471922 | 0.999863702850264 | 274 | 0.000264419023991539 | 0.000528838047983078 | 0.999735580976008 | 275 | 0.000499018965218806 | 0.000998037930437613 | 0.99950098103478 | 276 | 0.000921770219408992 | 0.00184354043881798 | 0.99907822978059 | 277 | 0.00167823111467652 | 0.00335646222935303 | 0.998321768885324 | 278 | 0.00293410729761948 | 0.00586821459523897 | 0.99706589270238 | 279 | 0.00495216505924178 | 0.00990433011848355 | 0.995047834940758 | 280 | 0.00809387250880099 | 0.016187745017602 | 0.991906127491199 | 281 | 0.013170594974333 | 0.026341189948666 | 0.986829405025667 | 282 | 0.0210974680535555 | 0.042194936107111 | 0.978902531946444 | 283 | 0.0336540616897809 | 0.0673081233795618 | 0.96634593831022 | 284 | 0.0514746202176601 | 0.10294924043532 | 0.94852537978234 | 285 | 0.0754545409432723 | 0.150909081886545 | 0.924545459056728 | 286 | 0.105785614022187 | 0.211571228044374 | 0.894214385977813 | 287 | 0.145226675975535 | 0.290453351951069 | 0.854773324024465 | 288 | 0.195040749733627 | 0.390081499467255 | 0.804959250266373 | 289 | 0.256346592634007 | 0.512693185268013 | 0.743653407365994 | 290 | 0.321541278290305 | 0.64308255658061 | 0.678458721709695 | 291 | 0.390910757022112 | 0.781821514044225 | 0.609089242977888 | 292 | 0.468061265341117 | 0.936122530682234 | 0.531938734658883 | 293 | 0.546526773886237 | 0.906946452227527 | 0.453473226113763 | 294 | 0.622338326618704 | 0.755323346762592 | 0.377661673381296 | 295 | 0.692872467635 | 0.61425506473 | 0.307127532365 | 296 | 0.760462137847637 | 0.479075724304725 | 0.239537862152363 | 297 | 0.816922099737348 | 0.366155800525304 | 0.183077900262652 | 298 | 0.864457202085094 | 0.271085595829811 | 0.135542797914906 | 299 | 0.905976362131114 | 0.188047275737772 | 0.094023637868886 | 300 | 0.938170795231504 | 0.123658409536991 | 0.0618292047684956 | 301 | 0.960223143498823 | 0.0795537130023545 | 0.0397768565011773 | 302 | 0.976326126497435 | 0.0473477470051298 | 0.0236738735025649 | 303 | 0.986044581638124 | 0.0279108367237521 | 0.0139554183618761 | 304 | 0.991986369516441 | 0.0160272609671172 | 0.00801363048355858 | 305 | 0.995593991310882 | 0.0088120173782353 | 0.00440600868911765 | 306 | 0.997757780058002 | 0.00448443988399563 | 0.00224221994199782 | 307 | 0.998920425945316 | 0.00215914810936757 | 0.00107957405468379 | 308 | 0.999513295280574 | 0.000973409438853012 | 0.000486704719426506 | 309 | 0.999785197929669 | 0.000429604140662826 | 0.000214802070331413 | 310 | 0.999904215430302 | 0.000191569139395934 | 9.57845696979671e-05 | 311 | 0.999954749726456 | 9.05005470883506e-05 | 4.52502735441753e-05 | 312 | 0.999981915290092 | 3.61694198152888e-05 | 1.80847099076444e-05 | 313 | 0.999992984804765 | 1.40303904694398e-05 | 7.01519523471991e-06 | 314 | 0.999997053391418 | 5.89321716324689e-06 | 2.94660858162345e-06 | 315 | 0.999998762896296 | 2.47420740886983e-06 | 1.23710370443492e-06 | 316 | 0.999999494645066 | 1.01070986742781e-06 | 5.05354933713904e-07 | 317 | 0.999999837651396 | 3.24697207109226e-07 | 1.62348603554613e-07 | 318 | 0.999999946064848 | 1.07870303884435e-07 | 5.39351519422173e-08 | 319 | 0.999999983717882 | 3.25642363224957e-08 | 1.62821181612478e-08 | 320 | 0.999999995066169 | 9.8676628906662e-09 | 4.9338314453331e-09 | 321 | 0.999999998177612 | 3.64477521971951e-09 | 1.82238760985976e-09 | 322 | 0.999999999283244 | 1.43351138819815e-09 | 7.16755694099076e-10 | 323 | 0.99999999972916 | 5.41679496399201e-10 | 2.70839748199601e-10 | 324 | 0.99999999990239 | 1.95220649279799e-10 | 9.76103246398993e-11 | 325 | 0.999999999971792 | 5.64168481548491e-11 | 2.82084240774245e-11 | 326 | 0.999999999993337 | 1.33265653956203e-11 | 6.66328269781017e-12 | 327 | 0.999999999998546 | 2.90748615662662e-12 | 1.45374307831331e-12 | 328 | 0.999999999999648 | 7.04482898906775e-13 | 3.52241449453388e-13 | 329 | 0.999999999999918 | 1.64551205825838e-13 | 8.22756029129189e-14 | 330 | 0.999999999999982 | 3.66692328515004e-14 | 1.83346164257502e-14 | 331 | 0.999999999999996 | 7.6212329003289e-15 | 3.81061645016445e-15 | 332 | 0.999999999999999 | 2.16317179008952e-15 | 1.08158589504476e-15 | 333 | 1 | 6.36272987082488e-16 | 3.18136493541244e-16 | 334 | 1 | 1.98865693874764e-16 | 9.9432846937382e-17 | 335 | 1 | 6.83463270307751e-17 | 3.41731635153876e-17 | 336 | 1 | 2.25237721260382e-17 | 1.12618860630191e-17 | 337 | 1 | 6.94700138866915e-18 | 3.47350069433457e-18 | 338 | 1 | 2.29288005217736e-18 | 1.14644002608868e-18 | 339 | 1 | 6.48332508203835e-19 | 3.24166254101918e-19 | 340 | 1 | 1.95015661483161e-19 | 9.75078307415803e-20 | 341 | 1 | 8.31631656613377e-20 | 4.15815828306689e-20 | 342 | 1 | 3.72535797624478e-20 | 1.86267898812239e-20 | 343 | 1 | 1.44069723146109e-20 | 7.20348615730543e-21 | 344 | 1 | 3.2037486973003e-21 | 1.60187434865015e-21 | 345 | 1 | 7.04258490512695e-22 | 3.52129245256347e-22 | 346 | 1 | 3.64628053236985e-22 | 1.82314026618492e-22 | 347 | 1 | 2.90420136514382e-22 | 1.45210068257191e-22 | 348 | 1 | 2.84440036677935e-22 | 1.42220018338967e-22 | 349 | 1 | 2.92870082269053e-22 | 1.46435041134526e-22 | 350 | 1 | 3.19906860581381e-22 | 1.59953430290691e-22 | 351 | 1 | 3.651222369418e-22 | 1.825611184709e-22 | 352 | 1 | 4.32471512829693e-22 | 2.16235756414846e-22 | 353 | 1 | 2.74248480783003e-22 | 1.37124240391501e-22 | 354 | 1 | 6.36209528100023e-23 | 3.18104764050011e-23 | 355 | 1 | 4.6909278165436e-23 | 2.3454639082718e-23 | 356 | 1 | 3.25019876776541e-23 | 1.6250993838827e-23 | 357 | 1 | 3.11978050664824e-23 | 1.55989025332412e-23 | 358 | 1 | 4.36801576018279e-23 | 2.1840078800914e-23 | 359 | 1 | 6.12481309632105e-23 | 3.06240654816053e-23 | 360 | 1 | 8.44997766876793e-23 | 4.22498883438396e-23 | 361 | 1 | 1.21275470674182e-22 | 6.06377353370909e-23 | 362 | 1 | 1.77154941272414e-22 | 8.8577470636207e-23 | 363 | 1 | 2.77122656908335e-22 | 1.38561328454167e-22 | 364 | 1 | 4.55051790010663e-22 | 2.27525895005332e-22 | 365 | 1 | 7.60735910954535e-22 | 3.80367955477268e-22 | 366 | 1 | 1.2943208944508e-21 | 6.471604472254e-22 | 367 | 1 | 2.22763870547702e-21 | 1.11381935273851e-21 | 368 | 1 | 3.89606299964538e-21 | 1.94803149982269e-21 | 369 | 1 | 6.96977259184297e-21 | 3.48488629592148e-21 | 370 | 1 | 1.07767915761507e-20 | 5.38839578807537e-21 | 371 | 1 | 1.6450495703387e-20 | 8.22524785169349e-21 | 372 | 1 | 2.82424506459922e-20 | 1.41212253229961e-20 | 373 | 1 | 5.25426094353447e-20 | 2.62713047176723e-20 | 374 | 1 | 9.3149785201641e-20 | 4.65748926008205e-20 | 375 | 1 | 1.80759141732531e-19 | 9.03795708662654e-20 | 376 | 1 | 3.49309865096402e-19 | 1.74654932548201e-19 | 377 | 1 | 6.82661958187552e-19 | 3.41330979093776e-19 | 378 | 1 | 1.36264922221392e-18 | 6.81324611106962e-19 | 379 | 1 | 2.72939060273397e-18 | 1.36469530136699e-18 | 380 | 1 | 5.51189977728316e-18 | 2.75594988864158e-18 | 381 | 1 | 1.08706029076611e-17 | 5.43530145383055e-18 | 382 | 1 | 2.20750169035107e-17 | 1.10375084517553e-17 | 383 | 1 | 4.39681793198856e-17 | 2.19840896599428e-17 | 384 | 1 | 6.387499933958e-17 | 3.193749966979e-17 | 385 | 1 | 9.83219376265514e-17 | 4.91609688132757e-17 | 386 | 1 | 1.44618086114813e-16 | 7.23090430574065e-17 | 387 | 1 | 2.05281406061505e-16 | 1.02640703030753e-16 | 388 | 1 | 2.99348245573587e-16 | 1.49674122786793e-16 | 389 | 1 | 4.94108839991586e-16 | 2.47054419995793e-16 | 390 | 1 | 9.74944959975716e-16 | 4.87472479987858e-16 | 391 | 1 | 1.9885991004441e-15 | 9.94299550222052e-16 | 392 | 0.999999999999998 | 3.88827904295669e-15 | 1.94413952147834e-15 | 393 | 0.999999999999997 | 6.31179046289713e-15 | 3.15589523144856e-15 | 394 | 0.999999999999996 | 7.2761733411318e-15 | 3.6380866705659e-15 | 395 | 0.999999999999996 | 8.23108917835115e-15 | 4.11554458917558e-15 | 396 | 0.999999999999994 | 1.23722172051811e-14 | 6.18610860259053e-15 | 397 | 0.999999999999989 | 2.28523847564427e-14 | 1.14261923782214e-14 | 398 | 0.99999999999998 | 4.03748200869891e-14 | 2.01874100434946e-14 | 399 | 0.999999999999964 | 7.20911878038027e-14 | 3.60455939019014e-14 | 400 | 0.999999999999936 | 1.27055208822594e-13 | 6.35276044112968e-14 | 401 | 0.9999999999999 | 1.9879375646125e-13 | 9.9396878230625e-14 | 402 | 0.999999999999834 | 3.32078388685117e-13 | 1.66039194342558e-13 | 403 | 0.999999999999754 | 4.92174764793853e-13 | 2.46087382396927e-13 | 404 | 0.999999999999617 | 7.65554411226658e-13 | 3.82777205613329e-13 | 405 | 0.999999999999402 | 1.1965088794259e-12 | 5.98254439712952e-13 | 406 | 0.999999999999011 | 1.97704868372089e-12 | 9.88524341860443e-13 | 407 | 0.99999999999827 | 3.46185263642456e-12 | 1.73092631821228e-12 | 408 | 0.999999999996876 | 6.24769465234964e-12 | 3.12384732617482e-12 | 409 | 0.999999999994447 | 1.11069203208132e-11 | 5.55346016040658e-12 | 410 | 0.99999999999201 | 1.59801869346539e-11 | 7.99009346732697e-12 | 411 | 0.999999999986557 | 2.68860585621869e-11 | 1.34430292810935e-11 | 412 | 0.99999999997556 | 4.88815537579273e-11 | 2.44407768789637e-11 | 413 | 0.99999999995218 | 9.56385398151947e-11 | 4.78192699075973e-11 | 414 | 0.999999999905584 | 1.88831457158253e-10 | 9.44157285791266e-11 | 415 | 0.999999999814829 | 3.70342693933452e-10 | 1.85171346966726e-10 | 416 | 0.99999999964064 | 7.1872070965495e-10 | 3.59360354827475e-10 | 417 | 0.999999999309007 | 1.38198514142175e-09 | 6.90992570710876e-10 | 418 | 0.999999998709842 | 2.58031607960735e-09 | 1.29015803980367e-09 | 419 | 0.99999999781639 | 4.36721882460664e-09 | 2.18360941230332e-09 | 420 | 0.999999996495754 | 7.00849285436655e-09 | 3.50424642718327e-09 | 421 | 0.999999994502069 | 1.09958621727532e-08 | 5.49793108637662e-09 | 422 | 0.999999991519658 | 1.69606830117005e-08 | 8.48034150585024e-09 | 423 | 0.999999987185687 | 2.56286270003025e-08 | 1.28143135001513e-08 | 424 | 0.99999998216519 | 3.5669622182018e-08 | 1.7834811091009e-08 | 425 | 0.999999978537906 | 4.29241884840901e-08 | 2.14620942420451e-08 | 426 | 0.999999974324026 | 5.13519474466103e-08 | 2.56759737233051e-08 | 427 | 0.999999964849999 | 7.03000017937878e-08 | 3.51500008968939e-08 | 428 | 0.999999954487065 | 9.10258702328824e-08 | 4.55129351164412e-08 | 429 | 0.99999994669761 | 1.0660477842488e-07 | 5.33023892124401e-08 | 430 | 0.999999940684995 | 1.18630010809014e-07 | 5.93150054045068e-08 | 431 | 0.999999954881337 | 9.0237326860732e-08 | 4.5118663430366e-08 | 432 | 0.99999997383338 | 5.23332402843883e-08 | 2.61666201421942e-08 | 433 | 0.999999987890193 | 2.42196134419278e-08 | 1.21098067209639e-08 | 434 | 0.999999996235286 | 7.5294283985736e-09 | 3.7647141992868e-09 | 435 | 0.999999999247943 | 1.5041141718984e-09 | 7.52057085949198e-10 | 436 | 0.9999999998568 | 2.86399458333131e-10 | 1.43199729166566e-10 | 437 | 0.999999999930868 | 1.38264525699897e-10 | 6.91322628499485e-11 | 438 | 0.999999999929823 | 1.40354286488414e-10 | 7.01771432442072e-11 | 439 | 0.99999999995206 | 9.58793826435358e-11 | 4.79396913217679e-11 | 440 | 0.999999999971237 | 5.75259437521896e-11 | 2.87629718760948e-11 | 441 | 0.999999999976906 | 4.61879690572958e-11 | 2.30939845286479e-11 | 442 | 0.999999999957543 | 8.49145353102442e-11 | 4.24572676551221e-11 | 443 | 0.999999999931222 | 1.37555770967199e-10 | 6.87778854835995e-11 | 444 | 0.99999999989268 | 2.14641234694109e-10 | 1.07320617347055e-10 | 445 | 0.999999999875263 | 2.4947483258855e-10 | 1.24737416294275e-10 | 446 | 0.999999999891817 | 2.16366285604205e-10 | 1.08183142802103e-10 | 447 | 0.999999999878328 | 2.43344291136237e-10 | 1.21672145568119e-10 | 448 | 0.999999999801385 | 3.97229562211097e-10 | 1.98614781105549e-10 | 449 | 0.999999999652913 | 6.94174112358733e-10 | 3.47087056179366e-10 | 450 | 0.99999999941369 | 1.17261820247192e-09 | 5.86309101235962e-10 | 451 | 0.99999999925196 | 1.49608143704287e-09 | 7.48040718521435e-10 | 452 | 0.999999999558965 | 8.82069076360368e-10 | 4.41034538180184e-10 | 453 | 0.999999999667324 | 6.65351083214501e-10 | 3.3267554160725e-10 | 454 | 0.999999999803137 | 3.93726555951295e-10 | 1.96863277975648e-10 | 455 | 0.99999999992821 | 1.43578916087844e-10 | 7.1789458043922e-11 | 456 | 0.999999999978547 | 4.29059084623963e-11 | 2.14529542311982e-11 | 457 | 0.999999999986794 | 2.64120349092964e-11 | 1.32060174546482e-11 | 458 | 0.999999999983153 | 3.36934568020978e-11 | 1.68467284010489e-11 | 459 | 0.999999999965958 | 6.80847859515087e-11 | 3.40423929757544e-11 | 460 | 0.9999999999579 | 8.41988240746787e-11 | 4.20994120373393e-11 | 461 | 0.999999999964144 | 7.17128982796271e-11 | 3.58564491398136e-11 | 462 | 0.99999999992155 | 1.56898497098227e-10 | 7.84492485491136e-11 | 463 | 0.99999999976835 | 4.63301042966461e-10 | 2.31650521483231e-10 | 464 | 0.99999999967812 | 6.43761135868368e-10 | 3.21880567934184e-10 | 465 | 0.999999999576834 | 8.46332466013383e-10 | 4.23166233006691e-10 | 466 | 0.99999999978167 | 4.36658604812931e-10 | 2.18329302406466e-10 | 467 | 0.999999999932568 | 1.34864404827382e-10 | 6.74322024136908e-11 | 468 | 0.999999999961099 | 7.78024372040607e-11 | 3.89012186020304e-11 | 469 | 0.999999999953233 | 9.3533381781293e-11 | 4.67666908906465e-11 | 470 | 0.999999999898842 | 2.02315065584206e-10 | 1.01157532792103e-10 | 471 | 0.999999999570965 | 8.58069328280966e-10 | 4.29034664140483e-10 | 472 | 0.999999998118243 | 3.76351413178107e-09 | 1.88175706589053e-09 | 473 | 0.99999999567644 | 8.64711876411832e-09 | 4.32355938205916e-09 | 474 | 0.99999999198226 | 1.60354789015166e-08 | 8.01773945075831e-09 | 475 | 0.999999964080779 | 7.18384423097388e-08 | 3.59192211548694e-08 | 476 | 0.999999839604128 | 3.20791743155517e-07 | 1.60395871577758e-07 | 477 | 0.999999428376686 | 1.14324662719023e-06 | 5.71623313595115e-07 | 478 | 0.999999581186695 | 8.376266103438e-07 | 4.188133051719e-07 | 479 | 0.999999393500312 | 1.2129993769368e-06 | 6.06499688468401e-07 | 480 | 0.999999406763627 | 1.18647274561871e-06 | 5.93236372809354e-07 | 481 | 0.999999177456947 | 1.64508610545216e-06 | 8.22543052726082e-07 | 482 | 0.999999456496445 | 1.08700710960895e-06 | 5.43503554804473e-07 | 483 | 0.999999682206719 | 6.35586562022507e-07 | 3.17793281011254e-07 | 484 | 0.999998566925001 | 2.86614999711746e-06 | 1.43307499855873e-06 | 485 | 0.999973815272726 | 5.23694545484678e-05 | 2.61847272742339e-05 | 486 | 0.99985864424766 | 0.00028271150468206 | 0.00014135575234103 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | Description | # significant tests | % significant tests | OK/NOK | 1% type I error level | 360 | 0.74688796680498 | NOK | 5% type I error level | 392 | 0.813278008298755 | NOK | 10% type I error level | 403 | 0.83609958506224 | NOK |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/1089nb1292800906.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/1089nb1292800906.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/1jqqh1292800906.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/1jqqh1292800906.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/2uz831292800906.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/2uz831292800906.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/3uz831292800906.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/3uz831292800906.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/4uz831292800906.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/20/t1292800961f5ee4oimzmjt02k/4uz831292800906.ps (open in new window) |
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| | Parameters (Session): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = Linear Trend ; | | Parameters (R input): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = Linear Trend ; | | R code (references can be found in the software module): | library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT<br />H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE)
a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}
| |
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Software written by Ed van Stee & Patrick Wessa
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