| Paper MR | *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: Wed, 29 Dec 2010 18:04:39 +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/29/t129364624967quc459anxqr9y.htm/, Retrieved Wed, 29 Dec 2010 19:10:49 +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/29/t129364624967quc459anxqr9y.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 « | 8.155 14.296 133 19.573
278.295 469.137 94 13.804
7.014 12.242 117 17.224
9.682 16.380 100 14.634
6.196 10.178 111 16.378
21.303 37.161 122 17.943
15.031 26.949 109 16.013
12.637 21.502 126 18.559
9.353 17.279 99 14.479
5.606 9.808 107 15.726
4.581 8.312 138 20.202
9.655 17.541 113 16.608
14.851 26.173 123 18.126
11.332 20.266 122 17.923
4.509 8.062 117 17.127
8.043 14.191 107 15.687
14.626 24.423 118 17.389
5.377 9.038 102 15.016
10.169 18.004 114 16.792
8.452 14.671 116 17.073
4.503 7.974 113 16.639
10.763 19.526 131 19.183
19.207 33.194 114 16.816
10.194 17.682 118 17.296
5.282 8.888 112 16.470
7.120 12.152 111 16.367
10.374 18.721 100 14.764
7.099 12.301 113 16.530
11.843 20.903 118 17.395
11.191 18.386 116 17.027
6.202 10.699 104 15.346
8.259 14.528 130 19.150
11.673 20.291 114 16.731
9.642 16.187 113 16.555
23.073 38.960 105 15.444
20.102 33.375 111 16.238
47.035 79.201 106 15.607
12.181 21.094 104 15.305
9.293 15.860 108 15.866
9.341 16.324 114 16.778
4.389 7.853 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 | Totaal[t] = + 36.0532236457109 + 0.53350256785386inwoners[t] + 14.189577015682welvaart[t] -98.6666963550096`gem_ink
`[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value | (Intercept) | 36.0532236457109 | 19.25165 | 1.8727 | 0.061604 | 0.030802 | inwoners | 0.53350256785386 | 0.050959 | 10.4692 | 0 | 0 | welvaart | 14.189577015682 | 8.577648 | 1.6543 | 0.098613 | 0.049307 | `gem_ink
` | -98.6666963550096 | 58.408967 | -1.6892 | 0.091707 | 0.045853 |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.41123536785664 | R-squared | 0.169114527776186 | Adjusted R-squared | 0.164853576636577 | F-TEST (value) | 39.6893844203275 | F-TEST (DF numerator) | 3 | F-TEST (DF denominator) | 585 | p-value | 0 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 60.5742017367118 | Sum Squared Residuals | 2146501.84088332 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 8.155 | -0.309328315149143 | 8.46432831514914 | 2 | 278.295 | 258.164180810524 | 20.1308191894764 | 3 | 7.014 | 3.32969489748696 | 3.68430510251304 | 4 | 9.682 | 19.8612628161474 | -10.1792628161474 | 5 | 6.196 | 0.563108619683148 | 5.63289138031685 | 6 | 21.303 | 16.6305757849958 | 4.67242421500423 | 7 | 15.031 | 17.1446703233746 | -2.11367032337458 | 8 | 12.637 | 4.2560821830143 | 8.3809178169857 | 9 | 9.353 | 21.4446425439927 | -12.0916425439926 | 10 | 5.606 | 7.93809063031538 | -2.33209063031538 | 11 | 4.581 | 5.38472538992507 | -0.80372538992507 | 12 | 9.655 | 10.1771018965029 | -0.522101896502875 | 13 | 14.851 | 6.9020211521328 | 7.9489788478672 | 14 | 11.332 | 9.59038382820532 | 1.74161617179468 | 15 | 4.509 | 10.6703237102944 | -6.16132371029438 | 16 | 8.043 | 14.1244335430644 | -6.08143354306437 | 17 | 14.626 | 7.73786179362081 | 6.88813820637919 | 18 | 5.377 | 6.63276298671477 | -1.25576298671477 | 19 | 10.169 | 6.45901847177936 | 3.70998152822065 | 20 | 8.452 | 5.33466676872889 | 3.11733323127111 | 21 | 4.503 | 2.01441524283982 | 2.48858475716018 | 22 | 10.763 | 12.5817476618192 | -1.81874766181917 | 23 | 19.207 | 12.1949217649595 | 7.01207823504046 | 24 | 10.194 | 13.3175237447339 | -3.12352374473386 | 25 | 5.282 | 4.98713125817292 | 0.294868741827082 | 26 | 7.12 | 2.70157634853169 | 4.41842365146831 | 27 | 10.374 | 8.28352180134216 | 2.09047819865784 | 28 | 7.099 | 15.0775507566393 | -7.97855075663935 | 29 | 11.843 | 5.26793257664514 | 6.57506742335486 | 30 | 11.191 | 11.8552968406363 | -0.664296840636331 | 31 | 6.202 | 3.33805498613087 | 2.86394501386913 | 32 | 8.259 | -1.01827420828090 | 9.2772742082809 | 33 | 11.673 | 13.6978073221167 | -2.02480732211674 | 34 | 9.642 | 14.6840743264444 | -5.04207432644436 | 35 | 23.073 | 22.9356118291398 | 0.137388170860191 | 36 | 20.102 | 26.7521051758905 | -6.65010517589054 | 37 | 47.035 | 42.5111941719626 | 4.52380582803741 | 38 | 12.181 | 12.9291487295272 | -0.748148729527176 | 39 | 9.293 | 11.5430876969477 | -2.25008769694774 | 40 | 9.341 | 6.9440679067553 | 2.39693209324470 | 41 | 4.389 | 1.23423689904673 | 3.15476310095327 | 42 | 11.293 | 7.4772723850739 | 3.81572761492609 | 43 | 13.594 | 22.0780613105236 | -8.48406131052358 | 44 | 6.969 | 6.79165946058555 | 0.177340539414450 | 45 | 1.306 | 11.5059869104904 | -10.1999869104904 | 46 | 11.855 | 15.0229719638673 | -3.16797196386730 | 47 | 9.266 | 9.41415869222195 | -0.148158692221952 | 48 | 4.983 | 4.52292652263872 | 0.460073477361282 | 49 | 21.305 | 25.217389379109 | -3.91238937910902 | 50 | 6.105 | 15.4216468610569 | -9.31664686105692 | 51 | 16.081 | 23.9715080190859 | -7.89050801908588 | 52 | 4.98 | 3.36624344998407 | 1.61375655001593 | 53 | 8.225 | 9.96184538967264 | -1.73684538967264 | 54 | 10.576 | 10.2713656968671 | 0.304634303132924 | 55 | 5.576 | 15.4970256277647 | -9.92102562776465 | 56 | 10.143 | 12.1403075842608 | -1.99730758426075 | 57 | 8.884 | 19.3681269239629 | -10.4841269239629 | 58 | 8.985 | 11.7188784982048 | -2.73387849820484 | 59 | 5.634 | 10.7628700408632 | -5.12887004086324 | 60 | 4.485 | 8.32679846169384 | -3.84179846169384 | 61 | 19.285 | 22.9188824429032 | -3.63388244290315 | 62 | 6.678 | 10.0100845899199 | -3.33208458991986 | 63 | 7.101 | 13.804837479774 | -6.70383747977399 | 64 | 7.739 | 16.0618089031273 | -8.32280890312726 | 65 | 5.742 | 8.7771223698076 | -3.03512236980759 | 66 | 6.192 | 17.2346074701651 | -11.0426074701651 | 67 | 24.554 | 19.7598354697892 | 4.79416453021082 | 68 | 4.386 | 7.1265937932115 | -2.74059379321151 | 69 | 5.697 | 10.0948751636159 | -4.39787516361592 | 70 | 13.625 | 20.4437929396949 | -6.8187929396949 | 71 | 55.457 | 69.3774168743082 | -13.9204168743082 | 72 | 16.181 | 24.2721563722172 | -8.09115637221722 | 73 | 11.927 | 15.8713531096984 | -3.94435310969845 | 74 | 79.009 | 84.3790208851205 | -5.37002088512046 | 75 | 21.129 | 40.3288903051272 | -19.1998903051272 | 76 | 19.132 | 26.4913643106420 | -7.35936431064203 | 77 | 27.088 | 38.5702694648866 | -11.4822694648865 | 78 | 13.241 | 20.218222010184 | -6.977222010184 | 79 | 41.602 | 54.3399088107383 | -12.7379088107383 | 80 | 26.141 | 37.1373424794309 | -10.9963424794309 | 81 | 10.678 | 19.7960258108704 | -9.11802581087039 | 82 | 42.356 | 65.5323688186953 | -23.1763688186953 | 83 | 23.658 | 40.0432194929338 | -16.3852194929338 | 84 | 11.936 | 30.0469689839543 | -18.1109689839543 | 85 | 59.836 | 81.1544122151406 | -21.3184122151406 | 86 | 39.267 | 49.1693231949921 | -9.90232319499213 | 87 | 13.664 | 11.7174158812883 | 1.94658411871175 | 88 | 25.699 | 35.3381589818865 | -9.6391589818865 | 89 | 19.016 | 24.6507731983489 | -5.63477319834891 | 90 | 6.849 | 2.20299336772516 | 4.64600663227484 | 91 | 16.942 | 13.9078340832549 | 3.03416591674514 | 92 | 12.988 | 9.71899902405203 | 3.26900097594797 | 93 | 1.13 | 4.80304512297064 | -3.67304512297064 | 94 | 22.943 | 19.2061648899563 | 3.73683511004373 | 95 | 2.835 | 8.20680499032633 | -5.37180499032633 | 96 | 4.732 | 0.709574849811316 | 4.02242515018868 | 97 | 5.016 | 1.01920882790539 | 3.99679117209461 | 98 | 20.042 | 20.0110442747657 | 0.030955725234267 | 99 | 20.786 | 25.8665517059462 | -5.08055170594624 | 100 | 3.666 | 4.87307702514774 | -1.20707702514774 | 101 | 5.381 | 8.37005959704182 | -2.98905959704182 | 102 | 6.272 | -1.28832183255826 | 7.56032183255826 | 103 | 5.235 | 4.17785544683669 | 1.05714455316331 | 104 | 6.097 | 10.2583195207150 | -4.16131952071499 | 105 | 4.931 | -1.58530488896168 | 6.51630488896168 | 106 | 7.093 | 10.0266741639203 | -2.93367416392031 | 107 | 2.664 | -4.44721025252015 | 7.11121025252015 | 108 | 10.084 | 6.81911624293403 | 3.26488375706597 | 109 | 7.252 | 5.91554433392615 | 1.33645566607385 | 110 | 10.439 | 8.70733152256746 | 1.73166847743254 | 111 | 8.663 | 11.5720712992045 | -2.90907129920454 | 112 | 7.147 | 10.2299500485248 | -3.08295004852484 | 113 | 12.04 | 15.9555703168286 | -3.91557031682863 | 114 | 2.479 | -2.04270575064932 | 4.52170575064932 | 115 | 6.11 | 3.69668877062585 | 2.41331122937415 | 116 | 9.125 | 9.91684616599071 | -0.791846165990713 | 117 | 17.724 | 16.2968802192527 | 1.42711978074734 | 118 | 6.361 | -1.09927915049837 | 7.46027915049837 | 119 | 8.481 | 4.32870802934251 | 4.15229197065749 | 120 | 21.67 | 21.1992535421114 | 0.470746457888581 | 121 | 8.455 | 12.7208718922386 | -4.26587189223857 | 122 | 6.431 | 0.913321560481397 | 5.5176784395186 | 123 | 15.695 | 16.2724741333261 | -0.577474133326125 | 124 | 12.215 | 1.40562052881495 | 10.8093794711850 | 125 | 16.985 | 16.3087786874900 | 0.676221312510034 | 126 | 5.509 | 7.02137831410225 | -1.51237831410225 | 127 | 3.349 | 9.56978218995316 | -6.22078218995316 | 128 | 5.1 | 6.22291248546592 | -1.12291248546592 | 129 | 5.098 | 2.4219566432378 | 2.6760433567622 | 130 | 6.498 | 7.21513001528173 | -0.71713001528173 | 131 | 4.213 | 1.85134607336941 | 2.36165392663059 | 132 | 13.679 | 15.0216182754488 | -1.34261827544876 | 133 | 3.339 | 12.8044859086511 | -9.46548590865113 | 134 | 2.865 | 6.31054060668598 | -3.44554060668598 | 135 | 7.81 | 3.16166620346068 | 4.64833379653932 | 136 | 10.848 | 1.70333644207910 | 9.1446635579209 | 137 | 3.56 | -3.335367775115 | 6.895367775115 | 138 | 5.12 | 0.650415211877006 | 4.46958478812299 | 139 | 4.994 | 3.6490851808469 | 1.34491481915310 | 140 | 6.921 | -5.02639374977311 | 11.9473937497731 | 141 | 4.308 | 14.3847040524872 | -10.0767040524872 | 142 | 10.372 | 8.02387694734468 | 2.34812305265532 | 143 | 8.788 | 8.1316266718014 | 0.656373328198597 | 144 | 55.767 | 53.8293557863987 | 1.93764421360129 | 145 | 4.019 | 6.68524708150712 | -2.66624708150712 | 146 | 7.486 | -0.853364256566487 | 8.33936425656649 | 147 | 5.889 | 4.19956242773279 | 1.68943757226721 | 148 | 8.479 | 3.68025041511377 | 4.79874958488622 | 149 | 13.187 | 21.6575246092641 | -8.47052460926405 | 150 | 9.933 | 12.2305449707258 | -2.29754497072580 | 151 | 5.821 | 6.33851964209653 | -0.517519642096526 | 152 | 19.645 | 21.2796561554741 | -1.63465615547410 | 153 | 7.991 | 10.8041783310232 | -2.81317833102319 | 154 | 4.779 | 14.4986167085736 | -9.71961670857357 | 155 | 3.602 | 0.521274822908685 | 3.08072517709132 | 156 | 21.505 | 17.1096413752297 | 4.39535862477025 | 157 | 5.378 | 9.2674835477172 | -3.8894835477172 | 158 | 3.641 | 7.62153087949564 | -3.98053087949564 | 159 | 5.885 | 9.55939156868158 | -3.67439156868158 | 160 | 5.154 | 8.6107155071393 | -3.45671550713931 | 161 | 7.978 | 13.5821346303917 | -5.60413463039175 | 162 | 6.874 | 5.29616725485372 | 1.57783274514628 | 163 | 1.784 | 9.60362838386718 | -7.81962838386718 | 164 | 2.514 | 5.52271370745572 | -3.00871370745572 | 165 | 3.423 | 5.34394084167683 | -1.92094084167683 | 166 | 7.271 | 14.9092488637780 | -7.63824886377798 | 167 | 3.965 | 1.87909976989683 | 2.08590023010317 | 168 | 7.124 | -1.65353924555107 | 8.77753924555106 | 169 | 3.645 | 10.9682075800471 | -7.32320758004711 | 170 | 15.202 | 10.5745462171498 | 4.62745378285018 | 171 | 4.408 | 10.0284510566660 | -5.62045105666598 | 172 | 16.341 | 20.3896570669489 | -4.04865706694893 | 173 | 4.294 | 9.91391921461802 | -5.61991921461802 | 174 | 3.175 | 3.52201640150112 | -0.347016401501118 | 175 | 5.761 | 13.3577147438140 | -7.59671474381399 | 176 | 11.727 | 15.3414726833829 | -3.61447268338294 | 177 | 13.005 | 20.9891019420348 | -7.98410194203483 | 178 | 5.386 | 13.1395235998140 | -7.75352359981397 | 179 | 3.269 | 4.8266852709954 | -1.55768527099540 | 180 | 14.968 | 11.0342293298989 | 3.93377067010105 | 181 | 18.943 | 22.7740380441336 | -3.83103804413364 | 182 | 8.405 | 11.8128754500918 | -3.40787545009176 | 183 | 12.02 | 9.93768126152293 | 2.08231873847707 | 184 | 70.511 | 69.7586099222846 | 0.752390077715421 | 185 | 6.158 | 17.2762749184069 | -11.1182749184069 | 186 | 7.398 | 12.6307135253166 | -5.23271352531662 | 187 | 21.308 | 19.7169558347876 | 1.59104416521245 | 188 | 12.316 | 21.1857881236376 | -8.86978812363758 | 189 | 11.57 | 10.6337851504806 | 0.936214849519352 | 190 | 11.978 | 16.4462119844105 | -4.46821198441055 | 191 | 1.546 | 10.3912988896078 | -8.84529888960777 | 192 | 9.13 | 20.8646512890873 | -11.7346512890873 | 193 | 5.226 | 20.2196041187084 | -14.9936041187084 | 194 | 4.837 | 19.0702534042127 | -14.2332534042127 | 195 | 6.837 | 15.7378395769480 | -8.90083957694798 | 196 | 1.839 | 13.9403726120557 | -12.1013726120557 | 197 | 4.55 | 20.8275386637779 | -16.2775386637779 | 198 | 20.47 | 18.3698573029419 | 2.10014269705809 | 199 | 4.273 | 12.3385340702200 | -8.06553407021999 | 200 | 560 | 534.466097730874 | 25.5339022691262 | 201 | 11.147 | 21.5591760316366 | -10.4121760316366 | 202 | 2.042 | 11.9615208862372 | -9.91952088623724 | 203 | 10.107 | 22.7033102905011 | -12.5963102905011 | 204 | 6.693 | 10.2903646772762 | -3.59736467727618 | 205 | 7.696 | 14.2720228286201 | -6.5760228286201 | 206 | 5.52 | 13.7929624133876 | -8.2729624133876 | 207 | 6.305 | 15.2723798505973 | -8.96737985059729 | 208 | 15.09 | 13.6339006034075 | 1.45609939659253 | 209 | 43.413 | 40.4071721072905 | 3.00582789270953 | 210 | 7.131 | 7.12812006141377 | 0.00287993858622775 | 211 | 3.092 | 7.5306365212672 | -4.4386365212672 | 212 | 18.743 | 20.8026243890605 | -2.05962438906052 | 213 | 1.138 | 3.38385272087502 | -2.24585272087502 | 214 | 20.382 | 25.6796826223027 | -5.29768262230268 | 215 | 17.304 | 24.9770846311396 | -7.6730846311396 | 216 | 13.142 | 13.9446033513396 | -0.80260335133963 | 217 | 9.196 | 15.0909179915778 | -5.89491799157776 | 218 | 7.585 | 3.67580154298052 | 3.90919845701948 | 219 | 6.365 | 13.0685070032364 | -6.70350700323636 | 220 | 7.57 | 12.865797388747 | -5.29579738874701 | 221 | 11.344 | 15.1000830169211 | -3.7560830169211 | 222 | 45.037 | 47.8141924162465 | -2.77719241624646 | 223 | 5.037 | 15.1453931875999 | -10.1083931875999 | 224 | 5.425 | 14.9778470017438 | -9.55284700174382 | 225 | 5.923 | 18.8238392641096 | -12.9008392641096 | 226 | 15.461 | 25.6088374739787 | -10.1478374739787 | 227 | 5.195 | 18.7013082938427 | -13.5063082938427 | 228 | 4.642 | 10.5621365543061 | -5.92013655430612 | 229 | 6.105 | 9.3002349057364 | -3.19523490573640 | 230 | 32.793 | 36.9362476374898 | -4.14324763748978 | 231 | 6.098 | 8.34121298606882 | -2.24321298606882 | 232 | 5.197 | 7.95933705368231 | -2.76233705368231 | 233 | 4.161 | 5.66460081329748 | -1.50360081329748 | 234 | 6.14 | 10.9261697242181 | -4.78616972421807 | 235 | 4.092 | 4.27165022347826 | -0.179650223478262 | 236 | 3.597 | 14.0619038769844 | -10.4649038769844 | 237 | 2.885 | 15.0384293925970 | -12.1534293925970 | 238 | 10.799 | 17.7311086480935 | -6.93210864809351 | 239 | 4.972 | 5.6009822290804 | -0.628982229080399 | 240 | 7.354 | 15.6345474666712 | -8.28054746667118 | 241 | 2.746 | 12.2067261684127 | -9.4607261684127 | 242 | 6.52 | 11.3384881896262 | -4.81848818962618 | 243 | 13.284 | 14.8197037617229 | -1.53570376172295 | 244 | 6.979 | 14.1670728282450 | -7.18807282824503 | 245 | 6.922 | 21.1921446109092 | -14.2701446109092 | 246 | 47.352 | 42.0903264568737 | 5.26167354312634 | 247 | 10.535 | 12.4590259225591 | -1.92402592255907 | 248 | 11.341 | 16.2780630371002 | -4.93706303710016 | 249 | 18.588 | 13.6836988394043 | 4.90430116059571 | 250 | 10.325 | 12.8730387317648 | -2.54803873176477 | 251 | 9.841 | 5.41888769965106 | 4.42211230034894 | 252 | 9.93 | 17.3495751357885 | -7.41957513578845 | 253 | 21.171 | 29.2006120170571 | -8.02961201705707 | 254 | 5.516 | 6.85265157131766 | -1.33665157131766 | 255 | 14.675 | 18.0419525403647 | -3.36695254036473 | 256 | 8.212 | 9.57832775348187 | -1.36632775348187 | 257 | 8.027 | 3.20072885300556 | 4.82627114699444 | 258 | 25.978 | 25.5550040382096 | 0.422995961790425 | 259 | 13.565 | 22.0950478660478 | -8.53004786604783 | 260 | 6.887 | 6.78621056962077 | 0.100789430379233 | 261 | 10.218 | 14.2908845795320 | -4.07288457953203 | 262 | 5.733 | 2.28587570263316 | 3.44712429736684 | 263 | 14.076 | 17.9920636027197 | -3.91606360271972 | 264 | 6.197 | 2.83928923228463 | 3.35771076771537 | 265 | 11.413 | 17.7465654060103 | -6.33356540601034 | 266 | 7.861 | 10.3177492606790 | -2.45674926067895 | 267 | 12.047 | 16.3047350686872 | -4.25773506868719 | 268 | 3.494 | 1.08283423271990 | 2.41116576728010 | 269 | 12.806 | 13.0172359570668 | -0.211235957066827 | 270 | 3.8 | 12.3878994227002 | -8.5878994227002 | 271 | 7.337 | 7.2429004874493 | 0.0940995125506958 | 272 | 10.494 | 8.85401050997067 | 1.63998949002933 | 273 | 5.66 | 1.76929340911538 | 3.89070659088463 | 274 | 16.514 | 24.3111284392205 | -7.79712843922051 | 275 | 9.992 | 2.54354235050232 | 7.44845764949768 | 276 | 18.51 | 23.1245097998153 | -4.61450979981531 | 277 | 6.947 | 8.80873213205632 | -1.86173213205632 | 278 | 145.933 | 133.390859209179 | 12.5421407908206 | 279 | 4.574 | 6.89479353177651 | -2.32079353177651 | 280 | 11.405 | 17.4756940288369 | -6.07069402883686 | 281 | 5.257 | 2.78438781659672 | 2.47261218340328 | 282 | 6.127 | 5.67479294213884 | 0.452207057861159 | 283 | 12.857 | 4.32279802914214 | 8.53420197085786 | 284 | 3.343 | 4.07100536037368 | -0.72800536037368 | 285 | 6.343 | 5.71199819054581 | 0.631001809454189 | 286 | 6.317 | 11.6319341608984 | -5.31493416089836 | 287 | 7.342 | 12.8838110477689 | -5.54181104776888 | 288 | 4.605 | 0.0632655921654504 | 4.54173440783455 | 289 | 4.506 | 12.3490557240408 | -7.84305572404084 | 290 | 4.008 | 11.8031540720360 | -7.79515407203595 | 291 | 4.658 | 14.0253109939414 | -9.36731099394139 | 292 | 8.334 | 13.288650716571 | -4.954650716571 | 293 | 8.154 | 14.9749832314168 | -6.82098323141684 | 294 | 1.143 | -0.670742612566967 | 1.81374261256697 | 295 | 3.608 | 9.0491314245727 | -5.4411314245727 | 296 | 4.462 | 12.6591178056099 | -8.19711780560988 | 297 | 3.623 | -0.610559087046548 | 4.23355908704655 | 298 | 3.699 | 0.622854519285232 | 3.07614548071477 | 299 | 17.103 | 19.8815402611676 | -2.77854026116764 | 300 | 13.826 | 27.0152642272342 | -13.1892642272342 | 301 | 3.366 | 11.12082400345 | -7.75482400345 | 302 | 3.932 | 3.30263478316969 | 0.629365216830306 | 303 | 4.406 | 2.78885358347677 | 1.61714641652323 | 304 | 25.953 | 23.6283432167966 | 2.32465678320343 | 305 | 8.746 | 8.8537043868419 | -0.1077043868419 | 306 | 21.624 | 27.2396244150084 | -5.61562441500838 | 307 | 10.162 | 18.8067799579334 | -8.6447799579334 | 308 | 41.5 | 40.4644529827919 | 1.03554701720808 | 309 | 9.663 | 14.1543623268571 | -4.49136232685714 | 310 | 15.252 | 17.9234508049494 | -2.67145080494939 | 311 | 16.211 | 18.6167193813258 | -2.40571938132577 | 312 | 7.783 | 10.6114442861786 | -2.82844428617856 | 313 | 6.593 | 11.4314939023682 | -4.83849390236823 | 314 | 1.932 | 12.5488280371549 | -10.6168280371549 | 315 | 3.561 | 13.7060773799249 | -10.1450773799249 | 316 | 3.317 | 3.31676615366694 | 0.000233846333056334 | 317 | 1.905 | 10.897978245026 | -8.992978245026 | 318 | 6.355 | 9.1290315758525 | -2.77403157585249 | 319 | 5.976 | 11.6913788741597 | -5.71537887415974 | 320 | 8.174 | 13.6525458765894 | -5.47854587658938 | 321 | 117.696 | 122.322537546953 | -4.62653754695329 | 322 | 20.776 | 29.0400792087699 | -8.26407920876992 | 323 | 17.18 | 23.5900884097069 | -6.41008840970689 | 324 | 6.02 | 26.2446451508227 | -20.2246451508227 | 325 | 12.99 | 15.54661149526 | -2.55661149525999 | 326 | 9.788 | 15.0388308783092 | -5.25083087830917 | 327 | 6.853 | 2.98547708857673 | 3.86752291142327 | 328 | 5.112 | 5.03904081104316 | 0.0729591889568415 | 329 | 12.9 | 28.9043229754633 | -16.0043229754633 | 330 | 6.021 | 5.33153673927096 | 0.689463260729038 | 331 | 9.198 | 15.0126807862909 | -5.81468078629095 | 332 | 6.033 | 14.4138424402779 | -8.38084244027794 | 333 | 11.794 | 20.3875402272775 | -8.59354022727753 | 334 | 11.416 | 17.2508528970216 | -5.83485289702155 | 335 | 9.873 | 26.662614406588 | -16.7896144065880 | 336 | 12.235 | 21.2549132570671 | -9.01991325706709 | 337 | 3.81 | 14.9080654858970 | -11.0980654858970 | 338 | 2.843 | 14.7792097020161 | -11.9362097020161 | 339 | 4.92 | 14.7359989717188 | -9.81599897171875 | 340 | 2.187 | 8.22379479940267 | -6.03679479940267 | 341 | 53.206 | 63.8147548878877 | -10.6087548878877 | 342 | 10.872 | 23.3865247479299 | -12.5145247479299 | 343 | 4.402 | 4.66081061643246 | -0.258810616432462 | 344 | 3.94 | 12.0720628057253 | -8.13206280572526 | 345 | 13.356 | 21.6430428227317 | -8.28704282273167 | 346 | 9.899 | 23.5062269127196 | -13.6072269127196 | 347 | 30.531 | 39.3501085230435 | -8.81910852304349 | 348 | 11.7 | 21.001125525064 | -9.301125525064 | 349 | 5.871 | 15.0077115825448 | -9.13671158254479 | 350 | 7.185 | 2.37047048908119 | 4.81452951091881 | 351 | 44.601 | 57.9459485435122 | -13.3449485435122 | 352 | 4.475 | 10.5157876418508 | -6.04078764185076 | 353 | 10.543 | 10.6201118300535 | -0.0771118300535032 | 354 | 4.321 | 2.59930867754682 | 1.72169132245318 | 355 | 14.135 | 22.8805628811153 | -8.74556288111525 | 356 | 6.825 | 11.7398815125855 | -4.91488151258549 | 357 | 3.782 | 11.4138539044856 | -7.63185390448556 | 358 | 19.29 | 33.5840954377338 | -14.2940954377338 | 359 | 5.622 | 21.8220731336512 | -16.2000731336512 | 360 | 5.501 | 12.3267361019273 | -6.82573610192733 | 361 | 4.216 | 15.1300765177723 | -10.9140765177723 | 362 | 2.085 | 13.8886854203697 | -11.8036854203697 | 363 | 7.508 | 4.08916878667468 | 3.41883121332532 | 364 | 3.083 | 12.8810023905907 | -9.79800239059074 | 365 | 2.187 | 19.2631214626427 | -17.0761214626427 | 366 | 2.914 | 16.1056439943874 | -13.1916439943874 | 367 | 11.033 | 13.3210067386624 | -2.28800673866236 | 368 | 2.657 | 10.6623859641149 | -8.00538596411487 | 369 | 8.308 | 16.8241132057478 | -8.51611320574784 | 370 | 4.482 | 11.3262277047151 | -6.84422770471507 | 371 | 4.325 | 12.4067911202075 | -8.08179112020745 | 372 | 3.056 | 5.11805551723041 | -2.06205551723041 | 373 | 5.351 | 14.3782922610169 | -9.02729226101688 | 374 | 7.756 | 8.98173210802507 | -1.22573210802507 | 375 | 1.918 | 4.85147054419609 | -2.93347054419609 | 376 | 2.933 | 7.59827454203954 | -4.66527454203954 | 377 | 9.489 | 16.0213039417113 | -6.53230394171129 | 378 | 2.888 | 11.0203891563959 | -8.13238915639588 | 379 | 40.378 | 45.7448314372312 | -5.36683143723117 | 380 | 7.744 | 12.3004097816138 | -4.55640978161377 | 381 | 2.261 | 0.261189283827957 | 1.99981071617204 | 382 | 1.583 | 1.82526418398817 | -0.242264183988174 | 383 | 2.38 | 2.60384707597241 | -0.22384707597241 | 384 | 3.28 | 7.24117529755358 | -3.96117529755358 | 385 | 2.551 | 14.8897649492055 | -12.3387649492055 | 386 | 2.116 | 6.37369181277642 | -4.25769181277642 | 387 | 2.532 | 12.3888676925938 | -9.8568676925938 | 388 | 12.499 | 12.5898412531188 | -0.0908412531187546 | 389 | 2.896 | 3.40536226892725 | -0.509362268927255 | 390 | 2.091 | 7.5350395740046 | -5.4440395740046 | 391 | 3.169 | -2.36611206026557 | 5.53511206026557 | 392 | 1.487 | 0.813939296971909 | 0.673060703028091 | 393 | 1.288 | 0.0311048465919224 | 1.25689515340808 | 394 | 1.946 | 6.26830347803023 | -4.32230347803023 | 395 | 3.374 | 14.3190240895441 | -10.9450240895441 | 396 | 7.22 | 16.5889077945709 | -9.36890779457092 | 397 | 16.349 | 20.3699703877845 | -4.02097038778453 | 398 | 4.996 | 15.2968996074234 | -10.3008996074234 | 399 | 6.435 | 19.9311832070875 | -13.4961832070875 | 400 | 4.905 | 15.7786673994931 | -10.8736673994931 | 401 | 6.779 | 15.1159319763202 | -8.33693197632024 | 402 | 7.304 | 10.9058469643453 | -3.60184696434533 | 403 | 11.935 | 10.5203364622222 | 1.41466353777781 | 404 | 3.173 | 15.0047957615712 | -11.8317957615712 | 405 | 3.677 | 4.24338924718632 | -0.566389247186317 | 406 | 7.851 | 12.9219466235209 | -5.07094662352089 | 407 | 14.75 | 16.1731508978073 | -1.42315089780729 | 408 | 9.395 | 21.7237880129225 | -12.3287880129225 | 409 | 12.687 | 23.3244340398708 | -10.6374340398708 | 410 | 22.124 | 25.6482934565356 | -3.52429345653563 | 411 | 4.886 | 7.07227852008459 | -2.18627852008459 | 412 | 112.237 | 115.953104637295 | -3.71610463729515 | 413 | 5.42 | 7.02712972351025 | -1.60712972351025 | 414 | 13.897 | 22.9260687575753 | -9.02906875757528 | 415 | 13.11 | 28.8898213164853 | -15.7798213164853 | 416 | 36.631 | 40.9000732948952 | -4.26907329489516 | 417 | 8.813 | 16.3718874468434 | -7.55888744684339 | 418 | 7.325 | 9.78237772868835 | -2.45737772868835 | 419 | 4.334 | 14.2100116918104 | -9.87601169181043 | 420 | 9.665 | 11.2951622995799 | -1.6301622995799 | 421 | 2.352 | 12.5688211153012 | -10.2168211153012 | 422 | 2.307 | 1.9374018687783 | 0.3695981312217 | 423 | 8.02 | 27.3920229909381 | -19.3720229909381 | 424 | 9.416 | 9.51814900800322 | -0.102149008003221 | 425 | 4.524 | 11.0305895946838 | -6.50658959468381 | 426 | 1.873 | 16.6465315227536 | -14.7735315227536 | 427 | 3.194 | 16.8743617340745 | -13.6803617340745 | 428 | 6.869 | 8.84258843775991 | -1.97358843775991 | 429 | 2.099 | -0.707230096516911 | 2.80623009651691 | 430 | 5.376 | 14.7371830956926 | -9.36118309569264 | 431 | 5.404 | 10.5388699859539 | -5.13486998595386 | 432 | 6.601 | 18.9739791004131 | -12.3729791004131 | 433 | 3.926 | 10.1198663358540 | -6.19386633585399 | 434 | 1.688 | 5.70457078329627 | -4.01657078329627 | 435 | 6.668 | 4.60868199356991 | 2.05931800643009 | 436 | 2.837 | 11.2550247304122 | -8.41802473041223 | 437 | 1.452 | 6.63038733215963 | -5.17838733215963 | 438 | 31.389 | 42.7108439625468 | -11.3218439625468 | 439 | 3.784 | 19.5023461536282 | -15.7183461536282 | 440 | 5.429 | 11.1204371337156 | -5.69143713371561 | 441 | 2.686 | 7.96892230565389 | -5.28292230565389 | 442 | 2.601 | 12.0554535160256 | -9.4544535160256 | 443 | 1.996 | 9.41858232585805 | -7.42258232585805 | 444 | 2.93 | 11.6775277989477 | -8.74752779894768 | 445 | 9.787 | 11.9757830510710 | -2.18878305107104 | 446 | 5.359 | 20.8772415748313 | -15.5182415748313 | 447 | 2.611 | 10.2875640160515 | -7.67656401605154 | 448 | 5.028 | 13.8861738684204 | -8.85817386842039 | 449 | 4.939 | 19.8189090012533 | -14.8799090012533 | 450 | 1.565 | 4.27219199785286 | -2.70719199785286 | 451 | 3.166 | 5.41138793670957 | -2.24538793670957 | 452 | 1.601 | 0.529099763388298 | 1.07190023661170 | 453 | 1.574 | 0.605071179761041 | 0.96892882023896 | 454 | 1.988 | -1.36144742960066 | 3.34944742960066 | 455 | 1.732 | 10.4098315481398 | -8.67783154813985 | 456 | 1.585 | 7.77592094209197 | -6.19092094209197 | 457 | 8.232 | 8.85202160604332 | -0.620021606043321 | 458 | 1.738 | 0.341026996818153 | 1.39697300318185 | 459 | 2.003 | 11.7168141041399 | -9.7138141041399 | 460 | 2.944 | 10.2583183077189 | -7.31431830771887 | 461 | 3.847 | 5.02171050333461 | -1.17471050333461 | 462 | 8.635 | 11.1535913910163 | -2.51859139101626 | 463 | 1.424 | 7.57802292486283 | -6.15402292486283 | 464 | 4.251 | 4.43659960659104 | -0.185599606591039 | 465 | 23.05 | 24.864706276849 | -1.81470627684901 | 466 | 10.052 | 12.4104542196333 | -2.35845421963331 | 467 | 35.964 | 48.2368552509304 | -12.2728552509304 | 468 | 4.536 | 6.01894686155047 | -1.48294686155047 | 469 | 5.056 | 15.3380221468450 | -10.2820221468450 | 470 | 5.611 | 8.98520318782152 | -3.37420318782152 | 471 | 43.97 | 39.1443203780366 | 4.82567962196338 | 472 | 6.788 | 13.3422365054956 | -6.5542365054956 | 473 | 17.047 | 19.2844834688353 | -2.23748346883529 | 474 | 8.488 | 17.6781291123887 | -9.19012911238871 | 475 | 7.928 | 8.50179859109569 | -0.573798591095691 | 476 | 3.879 | 6.12924862560422 | -2.25024862560422 | 477 | 5.28 | 9.77515594462308 | -4.49515594462308 | 478 | 23.525 | 28.1228115960938 | -4.5978115960938 | 479 | 9.981 | 6.01399180354233 | 3.96700819645767 | 480 | 11.471 | 22.3282247851526 | -10.8572247851526 | 481 | 3.918 | 6.83057398844748 | -2.91257398844748 | 482 | 6.876 | 9.13264262463156 | -2.25664262463156 | 483 | 8.429 | 18.2010505658311 | -9.77205056583113 | 484 | 10.793 | 20.8585241027038 | -10.0655241027038 | 485 | 7.693 | 22.3624467560419 | -14.6694467560419 | 486 | 6.39 | 15.4107168194600 | -9.02071681946003 | 487 | 16.513 | 23.2961366475198 | -6.78313664751981 | 488 | 6.516 | 20.6461738944041 | -14.1301738944041 | 489 | 17.937 | 27.1544898947413 | -9.21748989474133 | 490 | 13.589 | 22.623729195092 | -9.03472919509202 | 491 | 6.857 | 18.5484991799974 | -11.6914991799974 | 492 | 9.005 | 8.78880490249806 | 0.21619509750194 | 493 | 7.427 | 10.7022680910575 | -3.27526809105752 | 494 | 9.015 | 19.8946084317878 | -10.8796084317878 | 495 | 6.216 | 5.51809973742596 | 0.697900262574043 | 496 | 17.455 | 29.1874032538044 | -11.7324032538044 | 497 | 6.014 | 16.5842018722567 | -10.5702018722567 | 498 | 3.978 | 13.8298384126681 | -9.85183841266812 | 499 | 56 | 42.6981058214498 | 13.3018941785502 | 500 | 5.409 | 9.71180907039127 | -4.30280907039127 | 501 | 4.685 | 6.32055858542755 | -1.63555858542755 | 502 | 14.213 | 22.0810647363401 | -7.86806473634012 | 503 | 20.89 | 27.2335914973186 | -6.34359149731858 | 504 | 8.987 | 11.7002570594736 | -2.7132570594736 | 505 | 17.813 | 19.6195098728525 | -1.80650987285252 | 506 | 2.298 | 11.0436640341949 | -8.74566403419487 | 507 | 4.065 | 2.51349229481593 | 1.55150770518407 | 508 | 14.443 | 12.7038274402533 | 1.73917255974669 | 509 | 2.249 | -3.16048923109991 | 5.40948923109991 | 510 | 8.045 | 18.4326219589777 | -10.3876219589777 | 511 | 883 | 7.1215587785174 | 875.878441221483 | 512 | 3.955 | 4.15900674777317 | -0.204006747773168 | 513 | 7.905 | 10.0905991847597 | -2.18559918475966 | 514 | 1.576 | 14.9860788411499 | -13.4100788411499 | 515 | 1.073 | 6.55982815866575 | -5.48682815866575 | 516 | 2.606 | 13.9179275616571 | -11.3119275616571 | 517 | 2.755 | 15.3095262277604 | -12.5545262277604 | 518 | 1.31 | 5.73262437170132 | -4.42262437170132 | 519 | 2.487 | 5.84125789565446 | -3.35425789565446 | 520 | 4.285 | 11.2128369881977 | -6.92783698819771 | 521 | 6.276 | 9.29748186625023 | -3.02148186625023 | 522 | 1.672 | 8.1185698354902 | -6.4465698354902 | 523 | 2.807 | 17.6958142683771 | -14.8888142683771 | 524 | 2.521 | 18.6090522136018 | -16.0880522136018 | 525 | 1.869 | 7.90546513318116 | -6.03646513318116 | 526 | 9.606 | 16.3225105313643 | -6.71651053136431 | 527 | 2.772 | 6.35194006873423 | -3.57994006873423 | 528 | 1.371 | 10.0073453107350 | -8.63634531073498 | 529 | 1.469 | 17.0272021266176 | -15.5582021266176 | 530 | 4.678 | 7.52206759352741 | -2.84406759352741 | 531 | 3.278 | 18.9646299699272 | -15.6866299699272 | 532 | 778 | 17.53750570177 | 760.46249429823 | 533 | 893 | 16.5287082395034 | 876.471291760497 | 534 | 2.216 | 8.59033418951593 | -6.37433418951593 | 535 | 2.623 | 6.66323221277942 | -4.04023221277942 | 536 | 5.567 | 18.2355226095575 | -12.6685226095575 | 537 | 3.66 | 10.3297584597569 | -6.66975845975688 | 538 | 2.829 | 14.4192520189510 | -11.5902520189510 | 539 | 3.294 | 8.86187218000263 | -5.56787218000263 | 540 | 1.321 | 15.6599963378461 | -14.3389963378461 | 541 | 1.63 | 6.21438875347225 | -4.58438875347225 | 542 | 2.758 | 18.0390621617979 | -15.2810621617979 | 543 | 2.641 | 4.93617366979588 | -2.29517366979588 | 544 | 3.259 | 10.4200324566677 | -7.16103245666771 | 545 | 4.097 | 4.86388401229838 | -0.766884012298377 | 546 | 1.474 | 7.67783074674835 | -6.20383074674835 | 547 | 2.167 | 13.1566273932832 | -10.9896273932832 | 548 | 1.08 | 11.1845500649556 | -10.1045500649556 | 549 | 1.647 | 10.1417760813420 | -8.49477608134203 | 550 | 1.907 | 13.8852389177804 | -11.9782389177804 | 551 | 5.89 | 18.4635702829145 | -12.5735702829145 | 552 | 4.022 | 14.8364788954120 | -10.8144788954120 | 553 | 4.852 | 8.05556200868113 | -3.20356200868113 | 554 | 1.822 | 8.12807579206565 | -6.30607579206565 | 555 | 8.816 | 17.8791196491268 | -9.0631196491268 | 556 | 7.872 | 14.0253110315816 | -6.15331103158161 | 557 | 2.531 | 8.46394523207823 | -5.93294523207823 | 558 | 3.595 | 8.56640218320673 | -4.97140218320673 | 559 | 3.261 | 14.6651654240337 | -11.4041654240337 | 560 | 2.702 | 13.6532014786102 | -10.9512014786102 | 561 | 2.613 | 9.9485873967257 | -7.33558739672569 | 562 | 1.747 | 13.3718266744655 | -11.6248266744655 | 563 | 6.816 | 10.3636143328605 | -3.54761433286054 | 564 | 2.631 | 12.9047138380581 | -10.2737138380581 | 565 | 1.586 | 7.84575584402498 | -6.25975584402498 | 566 | 4.831 | 10.5540483323946 | -5.72304833239459 | 567 | 14.237 | 23.4099013386697 | -9.17290133866968 | 568 | 3.447 | 7.20381824131168 | -3.75681824131168 | 569 | 8.178 | 11.9370761493090 | -3.75907614930901 | 570 | 3.671 | 4.71339685676543 | -1.04239685676543 | 571 | 4.194 | 12.2263501334345 | -8.03235013343445 | 572 | 5.132 | 13.4555089278186 | -8.32350892781855 | 573 | 12.58 | 21.1323834621563 | -8.55238346215633 | 574 | 3.578 | 12.4830028111210 | -8.90500281112097 | 575 | 10.006 | 13.1982499969122 | -3.19224999691223 | 576 | 4.502 | 3.24329237219538 | 1.25870762780462 | 577 | 6.73 | 16.6402015717783 | -9.9102015717783 | 578 | 64.771 | 57.2852634782498 | 7.48573652175018 | 579 | 2.453 | 15.9599580484719 | -13.5069580484719 | 580 | 6.369 | 3.35045065998336 | 3.01854934001664 | 581 | 15.968 | 21.23537262139 | -5.26737262139002 | 582 | 4.247 | 6.78033581012341 | -2.53333581012342 | 583 | 2.579 | 5.87996981567107 | -3.30096981567107 | 584 | 7.872 | 14.8517214824848 | -6.97972148248482 | 585 | 1.64 | 15.2407539020547 | -13.6007539020547 | 586 | 6.16 | 13.3291049970832 | -7.16910499708323 | 587 | 4.989 | 19.4591999021761 | -14.4701999021761 | 588 | 3.493 | 8.94936675787728 | -5.45636675787728 | 589 | 9.952 | 12.5266096953824 | -2.57460969538235 |
Goldfeld-Quandt test for Heteroskedasticity | p-values | Alternative Hypothesis | breakpoint index | greater | 2-sided | less | 7 | 7.5325923589887e-07 | 1.50651847179774e-06 | 0.999999246740764 | 8 | 5.89091708164021e-09 | 1.17818341632804e-08 | 0.999999994109083 | 9 | 5.02444580550034e-11 | 1.00488916110007e-10 | 0.999999999949756 | 10 | 3.17676400813407e-13 | 6.35352801626814e-13 | 0.999999999999682 | 11 | 3.50789385782765e-15 | 7.01578771565529e-15 | 0.999999999999996 | 12 | 3.32955937279132e-17 | 6.65911874558263e-17 | 1 | 13 | 3.27250947689761e-19 | 6.54501895379523e-19 | 1 | 14 | 2.39638283186547e-21 | 4.79276566373094e-21 | 1 | 15 | 1.84403869893444e-23 | 3.68807739786888e-23 | 1 | 16 | 1.09102643265256e-25 | 2.18205286530513e-25 | 1 | 17 | 1.39360416513262e-27 | 2.78720833026523e-27 | 1 | 18 | 1.15150754778849e-29 | 2.30301509557697e-29 | 1 | 19 | 7.97215957721279e-32 | 1.59443191544256e-31 | 1 | 20 | 4.50568530566914e-34 | 9.01137061133828e-34 | 1 | 21 | 2.47465565638024e-36 | 4.94931131276048e-36 | 1 | 22 | 1.59493057554362e-38 | 3.18986115108724e-38 | 1 | 23 | 1.13865309529565e-40 | 2.27730619059130e-40 | 1 | 24 | 7.07762922369151e-43 | 1.41552584473830e-42 | 1 | 25 | 6.5144839592398e-45 | 1.30289679184796e-44 | 1 | 26 | 3.60751110960378e-47 | 7.21502221920755e-47 | 1 | 27 | 7.71488968713789e-49 | 1.54297793742758e-48 | 1 | 28 | 5.81181512285645e-51 | 1.16236302457129e-50 | 1 | 29 | 3.92231921375838e-53 | 7.84463842751677e-53 | 1 | 30 | 1.50893113577808e-54 | 3.01786227155616e-54 | 1 | 31 | 8.69399303145915e-57 | 1.73879860629183e-56 | 1 | 32 | 4.6202905710895e-59 | 9.240581142179e-59 | 1 | 33 | 2.40973403896499e-61 | 4.81946807792998e-61 | 1 | 34 | 2.72227433726748e-63 | 5.44454867453496e-63 | 1 | 35 | 1.82366450379278e-65 | 3.64732900758557e-65 | 1 | 36 | 5.18929126963863e-67 | 1.03785825392773e-66 | 1 | 37 | 3.94685884936335e-69 | 7.8937176987267e-69 | 1 | 38 | 2.17469585530553e-71 | 4.34939171061106e-71 | 1 | 39 | 1.25664394810135e-73 | 2.51328789620270e-73 | 1 | 40 | 6.55973718508485e-76 | 1.31194743701697e-75 | 1 | 41 | 3.34073357799975e-78 | 6.6814671559995e-78 | 1 | 42 | 1.95571785159866e-80 | 3.91143570319732e-80 | 1 | 43 | 1.01389924673807e-82 | 2.02779849347614e-82 | 1 | 44 | 5.90357160961425e-85 | 1.18071432192285e-84 | 1 | 45 | 3.08868687312414e-87 | 6.17737374624827e-87 | 1 | 46 | 1.52542278622906e-89 | 3.05084557245813e-89 | 1 | 47 | 1.37191585328160e-91 | 2.74383170656319e-91 | 1 | 48 | 6.57460452975168e-94 | 1.31492090595034e-93 | 1 | 49 | 6.11967296766619e-96 | 1.22393459353324e-95 | 1 | 50 | 2.93336141750591e-98 | 5.86672283501181e-98 | 1 | 51 | 2.62445427539353e-99 | 5.24890855078705e-99 | 1 | 52 | 1.62792426294684e-101 | 3.25584852589367e-101 | 1 | 53 | 8.84046515801702e-104 | 1.76809303160340e-103 | 1 | 54 | 1.35301821872541e-105 | 2.70603643745082e-105 | 1 | 55 | 7.19693134640376e-108 | 1.43938626928075e-107 | 1 | 56 | 5.37997042729639e-110 | 1.07599408545928e-109 | 1 | 57 | 2.81794103351637e-112 | 5.63588206703275e-112 | 1 | 58 | 1.41375345298354e-114 | 2.82750690596708e-114 | 1 | 59 | 8.51846878731898e-117 | 1.70369375746380e-116 | 1 | 60 | 4.96674284945608e-119 | 9.93348569891216e-119 | 1 | 61 | 2.93346128818486e-121 | 5.86692257636972e-121 | 1 | 62 | 1.45805909065260e-123 | 2.91611818130520e-123 | 1 | 63 | 8.23552224121532e-126 | 1.64710444824306e-125 | 1 | 64 | 9.77155666608534e-128 | 1.95431133321707e-127 | 1 | 65 | 5.89940129249298e-130 | 1.17988025849860e-129 | 1 | 66 | 2.84375779420003e-132 | 5.68751558840006e-132 | 1 | 67 | 9.61752093530766e-132 | 1.92350418706153e-131 | 1 | 68 | 6.42041677766735e-134 | 1.28408335553347e-133 | 1 | 69 | 3.35507536283318e-136 | 6.71015072566636e-136 | 1 | 70 | 1.67766187443238e-138 | 3.35532374886477e-138 | 1 | 71 | 3.59229777081965e-131 | 7.1845955416393e-131 | 1 | 72 | 7.8343439943318e-132 | 1.56686879886636e-131 | 1 | 73 | 5.61914870162903e-134 | 1.12382974032581e-133 | 1 | 74 | 1.43091570496214e-113 | 2.86183140992428e-113 | 1 | 75 | 9.44632292709311e-114 | 1.88926458541862e-113 | 1 | 76 | 1.48264666615791e-115 | 2.96529333231583e-115 | 1 | 77 | 2.40890967747591e-117 | 4.81781935495183e-117 | 1 | 78 | 9.17031461866832e-119 | 1.83406292373366e-118 | 1 | 79 | 8.3045806934424e-118 | 1.66091613868848e-117 | 1 | 80 | 2.54523814706054e-119 | 5.09047629412108e-119 | 1 | 81 | 7.75583905564207e-121 | 1.55116781112841e-120 | 1 | 82 | 4.59225919108204e-120 | 9.18451838216408e-120 | 1 | 83 | 8.35079677895818e-122 | 1.67015935579164e-121 | 1 | 84 | 2.47439737988154e-123 | 4.94879475976309e-123 | 1 | 85 | 4.37028826209742e-121 | 8.74057652419483e-121 | 1 | 86 | 2.16156092923853e-119 | 4.32312185847705e-119 | 1 | 87 | 4.84571323797517e-121 | 9.69142647595035e-121 | 1 | 88 | 2.76553630985034e-122 | 5.53107261970068e-122 | 1 | 89 | 9.59296946884932e-123 | 1.91859389376986e-122 | 1 | 90 | 2.25573247802676e-124 | 4.51146495605352e-124 | 1 | 91 | 5.07516343465576e-126 | 1.01503268693115e-125 | 1 | 92 | 1.45832793763653e-127 | 2.91665587527306e-127 | 1 | 93 | 3.22067061549826e-129 | 6.44134123099652e-129 | 1 | 94 | 7.55522602835951e-131 | 1.51104520567190e-130 | 1 | 95 | 2.06183278893727e-132 | 4.12366557787455e-132 | 1 | 96 | 4.40916471452429e-134 | 8.81832942904859e-134 | 1 | 97 | 9.69902299922985e-136 | 1.93980459984597e-135 | 1 | 98 | 2.13446418016147e-137 | 4.26892836032293e-137 | 1 | 99 | 5.05320512267465e-139 | 1.01064102453493e-138 | 1 | 100 | 1.04860744293527e-140 | 2.09721488587053e-140 | 1 | 101 | 2.31921164942402e-142 | 4.63842329884804e-142 | 1 | 102 | 5.59968345514282e-144 | 1.11993669102856e-143 | 1 | 103 | 1.14472647131231e-145 | 2.28945294262462e-145 | 1 | 104 | 4.07614311720337e-147 | 8.15228623440674e-147 | 1 | 105 | 9.59118697263946e-149 | 1.91823739452789e-148 | 1 | 106 | 2.05682216346333e-150 | 4.11364432692666e-150 | 1 | 107 | 4.44328632524441e-152 | 8.88657265048882e-152 | 1 | 108 | 8.94929738657528e-154 | 1.78985947731506e-153 | 1 | 109 | 1.83213861129353e-155 | 3.66427722258706e-155 | 1 | 110 | 4.78206325810938e-157 | 9.56412651621875e-157 | 1 | 111 | 9.4649549403944e-159 | 1.89299098807888e-158 | 1 | 112 | 1.85422820042724e-160 | 3.70845640085447e-160 | 1 | 113 | 1.30954544844444e-161 | 2.61909089688889e-161 | 1 | 114 | 2.63474315716115e-163 | 5.26948631432229e-163 | 1 | 115 | 5.17698460176373e-165 | 1.03539692035275e-164 | 1 | 116 | 2.48041177704822e-166 | 4.96082355409644e-166 | 1 | 117 | 4.82020949810554e-168 | 9.64041899621108e-168 | 1 | 118 | 1.02489293650232e-169 | 2.04978587300465e-169 | 1 | 119 | 2.00850274881390e-171 | 4.01700549762779e-171 | 1 | 120 | 3.87232527491102e-173 | 7.74465054982205e-173 | 1 | 121 | 7.39215299205503e-175 | 1.47843059841101e-174 | 1 | 122 | 3.13877861656918e-176 | 6.27755723313836e-176 | 1 | 123 | 8.18536545091065e-178 | 1.63707309018213e-177 | 1 | 124 | 2.13146750486498e-179 | 4.26293500972996e-179 | 1 | 125 | 5.33362201249815e-181 | 1.06672440249963e-180 | 1 | 126 | 1.04675308250867e-182 | 2.09350616501734e-182 | 1 | 127 | 2.34651625899843e-184 | 4.69303251799685e-184 | 1 | 128 | 4.47895228011548e-186 | 8.95790456023096e-186 | 1 | 129 | 9.01026228532332e-188 | 1.80205245706466e-187 | 1 | 130 | 1.73161510441730e-189 | 3.46323020883460e-189 | 1 | 131 | 3.25807827325738e-191 | 6.51615654651475e-191 | 1 | 132 | 7.4834622775724e-193 | 1.49669245551448e-192 | 1 | 133 | 1.88790874458904e-194 | 3.77581748917808e-194 | 1 | 134 | 3.57335643810626e-196 | 7.14671287621252e-196 | 1 | 135 | 6.61954452589622e-198 | 1.32390890517924e-197 | 1 | 136 | 1.72708275064769e-199 | 3.45416550129537e-199 | 1 | 137 | 3.15777154580892e-201 | 6.31554309161783e-201 | 1 | 138 | 6.06589473360439e-203 | 1.21317894672088e-202 | 1 | 139 | 1.12512023044044e-204 | 2.25024046088087e-204 | 1 | 140 | 3.55054754809173e-206 | 7.10109509618346e-206 | 1 | 141 | 7.94546372907953e-208 | 1.58909274581591e-207 | 1 | 142 | 1.52488926661571e-209 | 3.04977853323141e-209 | 1 | 143 | 2.85838186969632e-211 | 5.71676373939264e-211 | 1 | 144 | 1.99522977727792e-212 | 3.99045955455584e-212 | 1 | 145 | 3.72868100265361e-214 | 7.45736200530722e-214 | 1 | 146 | 8.9884423534739e-216 | 1.79768847069478e-215 | 1 | 147 | 2.00953289497165e-217 | 4.01906578994331e-217 | 1 | 148 | 3.69426031617471e-219 | 7.38852063234943e-219 | 1 | 149 | 9.143333578959e-221 | 1.8286667157918e-220 | 1 | 150 | 6.65944472058862e-222 | 1.33188894411772e-221 | 1 | 151 | 1.19616092519555e-223 | 2.3923218503911e-223 | 1 | 152 | 3.99591118638405e-225 | 7.9918223727681e-225 | 1 | 153 | 7.07170419177886e-227 | 1.41434083835577e-226 | 1 | 154 | 1.66559768229274e-228 | 3.33119536458547e-228 | 1 | 155 | 2.88259529663893e-230 | 5.76519059327786e-230 | 1 | 156 | 5.28078590643528e-232 | 1.05615718128706e-231 | 1 | 157 | 9.28982447120428e-234 | 1.85796489424086e-233 | 1 | 158 | 1.58422947010860e-235 | 3.16845894021721e-235 | 1 | 159 | 2.91424411756023e-237 | 5.82848823512045e-237 | 1 | 160 | 4.93031379646305e-239 | 9.8606275929261e-239 | 1 | 161 | 8.3336012411312e-241 | 1.66672024822624e-240 | 1 | 162 | 1.50939543981442e-242 | 3.01879087962884e-242 | 1 | 163 | 3.03402225812255e-244 | 6.0680445162451e-244 | 1 | 164 | 5.20696630826781e-246 | 1.04139326165356e-245 | 1 | 165 | 8.8315279519975e-248 | 1.7663055903995e-247 | 1 | 166 | 1.65285311128345e-249 | 3.3057062225669e-249 | 1 | 167 | 2.78921657206129e-251 | 5.57843314412257e-251 | 1 | 168 | 1.17717187456053e-252 | 2.35434374912106e-252 | 1 | 169 | 1.98232178873470e-254 | 3.96464357746940e-254 | 1 | 170 | 4.44724051907102e-256 | 8.89448103814205e-256 | 1 | 171 | 7.71772028385699e-258 | 1.54354405677140e-257 | 1 | 172 | 1.44109244581286e-259 | 2.88218489162573e-259 | 1 | 173 | 2.47123063876013e-261 | 4.94246127752027e-261 | 1 | 174 | 4.14189318665274e-263 | 8.28378637330548e-263 | 1 | 175 | 7.51706892754142e-265 | 1.50341378550828e-264 | 1 | 176 | 1.42247599130745e-266 | 2.84495198261489e-266 | 1 | 177 | 2.65341137830654e-268 | 5.30682275661308e-268 | 1 | 178 | 4.32031799064895e-270 | 8.64063598129791e-270 | 1 | 179 | 6.86706753330782e-272 | 1.37341350666156e-271 | 1 | 180 | 5.31694519865386e-273 | 1.06338903973077e-272 | 1 | 181 | 8.69187374820576e-275 | 1.73837474964115e-274 | 1 | 182 | 1.49724321045656e-276 | 2.99448642091312e-276 | 1 | 183 | 1.12123833966773e-277 | 2.24247667933547e-277 | 1 | 184 | 2.18358795481006e-278 | 4.36717590962011e-278 | 1 | 185 | 4.19011718924598e-280 | 8.38023437849196e-280 | 1 | 186 | 6.67878029901157e-282 | 1.33575605980231e-281 | 1 | 187 | 1.81385175072293e-283 | 3.62770350144587e-283 | 1 | 188 | 2.90861896724201e-285 | 5.81723793448403e-285 | 1 | 189 | 5.66157414908329e-287 | 1.13231482981666e-286 | 1 | 190 | 8.95590181415918e-289 | 1.79118036283184e-288 | 1 | 191 | 1.63720543154206e-290 | 3.27441086308411e-290 | 1 | 192 | 3.81099636180949e-292 | 7.62199272361898e-292 | 1 | 193 | 9.7373028237451e-294 | 1.94746056474902e-293 | 1 | 194 | 2.37626089744071e-295 | 4.75252179488143e-295 | 1 | 195 | 4.82354139766395e-297 | 9.6470827953279e-297 | 1 | 196 | 1.30182135775693e-298 | 2.60364271551387e-298 | 1 | 197 | 3.11504683314903e-300 | 6.23009366629807e-300 | 1 | 198 | 6.19116699114881e-302 | 1.23823339822976e-301 | 1 | 199 | 1.17634773400231e-303 | 2.35269546800462e-303 | 1 | 200 | 2.77433317206887e-294 | 5.54866634413773e-294 | 1 | 201 | 5.12136504994277e-296 | 1.02427300998855e-295 | 1 | 202 | 1.02205999844409e-297 | 2.04411999688818e-297 | 1 | 203 | 1.92453659481135e-299 | 3.8490731896227e-299 | 1 | 204 | 3.42331945359876e-301 | 6.84663890719751e-301 | 1 | 205 | 5.93566132703794e-303 | 1.18713226540759e-302 | 1 | 206 | 1.08072565737058e-304 | 2.16145131474115e-304 | 1 | 207 | 1.87587732101508e-306 | 3.75175464203016e-306 | 1 | 208 | 3.33742747669277e-308 | 6.67485495338553e-308 | 1 | 209 | 1.12058349053988e-309 | 2.24116698107977e-309 | 1 | 210 | 1.92429956009107e-311 | 3.84859912018215e-311 | 1 | 211 | 3.3415543959044e-313 | 6.6831087918088e-313 | 1 | 212 | 6.38608829140596e-315 | 1.27721765828119e-314 | 1 | 213 | 1.11235614387238e-316 | 2.22471228774475e-316 | 1 | 214 | 1.87492477874649e-318 | 3.74984955749298e-318 | 1 | 215 | 3.14028124496696e-320 | 6.28056248993393e-320 | 1 | 216 | 5.33590897508546e-322 | 1.06718179501709e-321 | 1 | 217 | 9.88131291682493e-324 | 1.97626258336499e-323 | 1 | 218 | 0 | 0 | 1 | 219 | 0 | 0 | 1 | 220 | 0 | 0 | 1 | 221 | 0 | 0 | 1 | 222 | 0 | 0 | 1 | 223 | 0 | 0 | 1 | 224 | 0 | 0 | 1 | 225 | 0 | 0 | 1 | 226 | 0 | 0 | 1 | 227 | 0 | 0 | 1 | 228 | 0 | 0 | 1 | 229 | 0 | 0 | 1 | 230 | 0 | 0 | 1 | 231 | 0 | 0 | 1 | 232 | 0 | 0 | 1 | 233 | 0 | 0 | 1 | 234 | 0 | 0 | 1 | 235 | 0 | 0 | 1 | 236 | 0 | 0 | 1 | 237 | 0 | 0 | 1 | 238 | 0 | 0 | 1 | 239 | 0 | 0 | 1 | 240 | 0 | 0 | 1 | 241 | 0 | 0 | 1 | 242 | 0 | 0 | 1 | 243 | 0 | 0 | 1 | 244 | 0 | 0 | 1 | 245 | 0 | 0 | 1 | 246 | 0 | 0 | 1 | 247 | 0 | 0 | 1 | 248 | 0 | 0 | 1 | 249 | 0 | 0 | 1 | 250 | 0 | 0 | 1 | 251 | 0 | 0 | 1 | 252 | 0 | 0 | 1 | 253 | 0 | 0 | 1 | 254 | 0 | 0 | 1 | 255 | 0 | 0 | 1 | 256 | 0 | 0 | 1 | 257 | 0 | 0 | 1 | 258 | 0 | 0 | 1 | 259 | 0 | 0 | 1 | 260 | 0 | 0 | 1 | 261 | 0 | 0 | 1 | 262 | 0 | 0 | 1 | 263 | 0 | 0 | 1 | 264 | 0 | 0 | 1 | 265 | 0 | 0 | 1 | 266 | 0 | 0 | 1 | 267 | 0 | 0 | 1 | 268 | 0 | 0 | 1 | 269 | 0 | 0 | 1 | 270 | 0 | 0 | 1 | 271 | 0 | 0 | 1 | 272 | 0 | 0 | 1 | 273 | 0 | 0 | 1 | 274 | 0 | 0 | 1 | 275 | 0 | 0 | 1 | 276 | 0 | 0 | 1 | 277 | 0 | 0 | 1 | 278 | 0 | 0 | 1 | 279 | 0 | 0 | 1 | 280 | 0 | 0 | 1 | 281 | 0 | 0 | 1 | 282 | 0 | 0 | 1 | 283 | 0 | 0 | 1 | 284 | 0 | 0 | 1 | 285 | 0 | 0 | 1 | 286 | 0 | 0 | 1 | 287 | 0 | 0 | 1 | 288 | 0 | 0 | 1 | 289 | 0 | 0 | 1 | 290 | 0 | 0 | 1 | 291 | 0 | 0 | 1 | 292 | 0 | 0 | 1 | 293 | 0 | 0 | 1 | 294 | 0 | 0 | 1 | 295 | 0 | 0 | 1 | 296 | 0 | 0 | 1 | 297 | 0 | 0 | 1 | 298 | 0 | 0 | 1 | 299 | 0 | 0 | 1 | 300 | 0 | 0 | 1 | 301 | 0 | 0 | 1 | 302 | 0 | 0 | 1 | 303 | 0 | 0 | 1 | 304 | 0 | 0 | 1 | 305 | 0 | 0 | 1 | 306 | 0 | 0 | 1 | 307 | 0 | 0 | 1 | 308 | 0 | 0 | 1 | 309 | 0 | 0 | 1 | 310 | 0 | 0 | 1 | 311 | 0 | 0 | 1 | 312 | 0 | 0 | 1 | 313 | 0 | 0 | 1 | 314 | 0 | 0 | 1 | 315 | 0 | 0 | 1 | 316 | 0 | 0 | 1 | 317 | 0 | 0 | 1 | 318 | 0 | 0 | 1 | 319 | 0 | 0 | 1 | 320 | 0 | 0 | 1 | 321 | 0 | 0 | 1 | 322 | 0 | 0 | 1 | 323 | 0 | 0 | 1 | 324 | 0 | 0 | 1 | 325 | 0 | 0 | 1 | 326 | 0 | 0 | 1 | 327 | 0 | 0 | 1 | 328 | 0 | 0 | 1 | 329 | 0 | 0 | 1 | 330 | 0 | 0 | 1 | 331 | 0 | 0 | 1 | 332 | 0 | 0 | 1 | 333 | 0 | 0 | 1 | 334 | 0 | 0 | 1 | 335 | 0 | 0 | 1 | 336 | 0 | 0 | 1 | 337 | 0 | 0 | 1 | 338 | 0 | 0 | 1 | 339 | 0 | 0 | 1 | 340 | 0 | 0 | 1 | 341 | 0 | 0 | 1 | 342 | 0 | 0 | 1 | 343 | 0 | 0 | 1 | 344 | 0 | 0 | 1 | 345 | 0 | 0 | 1 | 346 | 0 | 0 | 1 | 347 | 0 | 0 | 1 | 348 | 0 | 0 | 1 | 349 | 0 | 0 | 1 | 350 | 0 | 0 | 1 | 351 | 0 | 0 | 1 | 352 | 0 | 0 | 1 | 353 | 0 | 0 | 1 | 354 | 0 | 0 | 1 | 355 | 0 | 0 | 1 | 356 | 0 | 0 | 1 | 357 | 0 | 0 | 1 | 358 | 0 | 0 | 1 | 359 | 0 | 0 | 1 | 360 | 0 | 0 | 1 | 361 | 0 | 0 | 1 | 362 | 0 | 0 | 1 | 363 | 0 | 0 | 1 | 364 | 0 | 0 | 1 | 365 | 0 | 0 | 1 | 366 | 0 | 0 | 1 | 367 | 0 | 0 | 1 | 368 | 0 | 0 | 1 | 369 | 0 | 0 | 1 | 370 | 0 | 0 | 1 | 371 | 0 | 0 | 1 | 372 | 0 | 0 | 1 | 373 | 0 | 0 | 1 | 374 | 0 | 0 | 1 | 375 | 0 | 0 | 1 | 376 | 0 | 0 | 1 | 377 | 0 | 0 | 1 | 378 | 0 | 0 | 1 | 379 | 0 | 0 | 1 | 380 | 0 | 0 | 1 | 381 | 0 | 0 | 1 | 382 | 0 | 0 | 1 | 383 | 0 | 0 | 1 | 384 | 0 | 0 | 1 | 385 | 0 | 0 | 1 | 386 | 0 | 0 | 1 | 387 | 0 | 0 | 1 | 388 | 0 | 0 | 1 | 389 | 0 | 0 | 1 | 390 | 0 | 0 | 1 | 391 | 0 | 0 | 1 | 392 | 0 | 0 | 1 | 393 | 0 | 0 | 1 | 394 | 0 | 0 | 1 | 395 | 0 | 0 | 1 | 396 | 0 | 0 | 1 | 397 | 0 | 0 | 1 | 398 | 0 | 0 | 1 | 399 | 0 | 0 | 1 | 400 | 0 | 0 | 1 | 401 | 0 | 0 | 1 | 402 | 0 | 0 | 1 | 403 | 0 | 0 | 1 | 404 | 0 | 0 | 1 | 405 | 0 | 0 | 1 | 406 | 0 | 0 | 1 | 407 | 0 | 0 | 1 | 408 | 0 | 0 | 1 | 409 | 0 | 0 | 1 | 410 | 0 | 0 | 1 | 411 | 0 | 0 | 1 | 412 | 0 | 0 | 1 | 413 | 0 | 0 | 1 | 414 | 0 | 0 | 1 | 415 | 0 | 0 | 1 | 416 | 0 | 0 | 1 | 417 | 0 | 0 | 1 | 418 | 0 | 0 | 1 | 419 | 0 | 0 | 1 | 420 | 0 | 0 | 1 | 421 | 0 | 0 | 1 | 422 | 0 | 0 | 1 | 423 | 0 | 0 | 1 | 424 | 0 | 0 | 1 | 425 | 0 | 0 | 1 | 426 | 0 | 0 | 1 | 427 | 0 | 0 | 1 | 428 | 0 | 0 | 1 | 429 | 0 | 0 | 1 | 430 | 0 | 0 | 1 | 431 | 0 | 0 | 1 | 432 | 0 | 0 | 1 | 433 | 0 | 0 | 1 | 434 | 0 | 0 | 1 | 435 | 0 | 0 | 1 | 436 | 0 | 0 | 1 | 437 | 0 | 0 | 1 | 438 | 0 | 0 | 1 | 439 | 0 | 0 | 1 | 440 | 0 | 0 | 1 | 441 | 0 | 0 | 1 | 442 | 0 | 0 | 1 | 443 | 0 | 0 | 1 | 444 | 0 | 0 | 1 | 445 | 0 | 0 | 1 | 446 | 0 | 0 | 1 | 447 | 0 | 0 | 1 | 448 | 0 | 0 | 1 | 449 | 0 | 0 | 1 | 450 | 0 | 0 | 1 | 451 | 0 | 0 | 1 | 452 | 0 | 0 | 1 | 453 | 0 | 0 | 1 | 454 | 0 | 0 | 1 | 455 | 0 | 0 | 1 | 456 | 0 | 0 | 1 | 457 | 0 | 0 | 1 | 458 | 0 | 0 | 1 | 459 | 0 | 0 | 1 | 460 | 0 | 0 | 1 | 461 | 0 | 0 | 1 | 462 | 0 | 0 | 1 | 463 | 0 | 0 | 1 | 464 | 0 | 0 | 1 | 465 | 0 | 0 | 1 | 466 | 0 | 0 | 1 | 467 | 0 | 0 | 1 | 468 | 0 | 0 | 1 | 469 | 0 | 0 | 1 | 470 | 0 | 0 | 1 | 471 | 0 | 0 | 1 | 472 | 0 | 0 | 1 | 473 | 0 | 0 | 1 | 474 | 0 | 0 | 1 | 475 | 0 | 0 | 1 | 476 | 0 | 0 | 1 | 477 | 0 | 0 | 1 | 478 | 0 | 0 | 1 | 479 | 0 | 0 | 1 | 480 | 0 | 0 | 1 | 481 | 0 | 0 | 1 | 482 | 0 | 0 | 1 | 483 | 0 | 0 | 1 | 484 | 0 | 0 | 1 | 485 | 0 | 0 | 1 | 486 | 0 | 0 | 1 | 487 | 0 | 0 | 1 | 488 | 0 | 0 | 1 | 489 | 0 | 0 | 1 | 490 | 0 | 0 | 1 | 491 | 0 | 0 | 1 | 492 | 0 | 0 | 1 | 493 | 0 | 0 | 1 | 494 | 0 | 0 | 1 | 495 | 0 | 0 | 1 | 496 | 0 | 0 | 1 | 497 | 0 | 0 | 1 | 498 | 0 | 0 | 1 | 499 | 0 | 0 | 1 | 500 | 0 | 0 | 1 | 501 | 0 | 0 | 1 | 502 | 0 | 0 | 1 | 503 | 0 | 0 | 1 | 504 | 0 | 0 | 1 | 505 | 0 | 0 | 1 | 506 | 0 | 0 | 1 | 507 | 0 | 0 | 1 | 508 | 0 | 0 | 1 | 509 | 0 | 0 | 1 | 510 | 0 | 0 | 1 | 511 | 2.21440097509045e-67 | 4.4288019501809e-67 | 1 | 512 | 7.46558089023696e-68 | 1.49311617804739e-67 | 1 | 513 | 2.47349554775582e-68 | 4.94699109551164e-68 | 1 | 514 | 1.29061778208841e-68 | 2.58123556417682e-68 | 1 | 515 | 3.7856775990678e-69 | 7.5713551981356e-69 | 1 | 516 | 1.49927749001894e-69 | 2.99855498003789e-69 | 1 | 517 | 7.50324788942931e-70 | 1.50064957788586e-69 | 1 | 518 | 2.17951034041162e-70 | 4.35902068082324e-70 | 1 | 519 | 6.58616753157804e-71 | 1.31723350631561e-70 | 1 | 520 | 1.91306354830204e-71 | 3.82612709660409e-71 | 1 | 521 | 5.6541299576362e-72 | 1.13082599152724e-71 | 1 | 522 | 1.57525486360917e-72 | 3.15050972721833e-72 | 1 | 523 | 1.2119560559092e-72 | 2.4239121118184e-72 | 1 | 524 | 1.51770703736694e-72 | 3.03541407473388e-72 | 1 | 525 | 4.14665894334921e-73 | 8.29331788669843e-73 | 1 | 526 | 1.16039465145973e-73 | 2.32078930291945e-73 | 1 | 527 | 3.25502647572998e-74 | 6.51005295145995e-74 | 1 | 528 | 9.95952399041231e-75 | 1.99190479808246e-74 | 1 | 529 | 1.41457701022036e-74 | 2.82915402044072e-74 | 1 | 530 | 4.08041271565837e-75 | 8.16082543131674e-75 | 1 | 531 | 8.4798071393763e-75 | 1.69596142787526e-74 | 1 | 532 | 6.03099588586299e-25 | 1.20619917717260e-24 | 1 | 533 | 1 | 2.70795385439514e-121 | 1.35397692719757e-121 | 534 | 1 | 9.19934159909747e-119 | 4.59967079954873e-119 | 535 | 1 | 2.45440336813651e-116 | 1.22720168406826e-116 | 536 | 1 | 6.89829386926235e-114 | 3.44914693463117e-114 | 537 | 1 | 2.16006832136822e-111 | 1.08003416068411e-111 | 538 | 1 | 6.99210534469452e-109 | 3.49605267234726e-109 | 539 | 1 | 1.93202644900728e-106 | 9.66013224503642e-107 | 540 | 1 | 4.84957037962725e-104 | 2.42478518981363e-104 | 541 | 1 | 1.52477835795687e-101 | 7.62389178978435e-102 | 542 | 1 | 4.82765675240663e-99 | 2.41382837620331e-99 | 543 | 1 | 1.50721079685008e-96 | 7.5360539842504e-97 | 544 | 1 | 2.40611021769902e-94 | 1.20305510884951e-94 | 545 | 1 | 5.98593862187053e-92 | 2.99296931093526e-92 | 546 | 1 | 1.25743225182541e-89 | 6.28716125912707e-90 | 547 | 1 | 3.85637878894668e-87 | 1.92818939447334e-87 | 548 | 1 | 1.03696426819700e-84 | 5.18482134098499e-85 | 549 | 1 | 1.48875618247169e-82 | 7.44378091235843e-83 | 550 | 1 | 4.43753479082911e-80 | 2.21876739541455e-80 | 551 | 1 | 2.39935586157527e-79 | 1.19967793078764e-79 | 552 | 1 | 7.0932731095619e-77 | 3.54663655478095e-77 | 553 | 1 | 2.29308409062128e-74 | 1.14654204531064e-74 | 554 | 1 | 6.39168263116749e-72 | 3.19584131558374e-72 | 555 | 1 | 2.01837583161726e-69 | 1.00918791580863e-69 | 556 | 1 | 3.41460101480247e-67 | 1.70730050740124e-67 | 557 | 1 | 9.43451610692868e-65 | 4.71725805346434e-65 | 558 | 1 | 2.84546904504321e-62 | 1.42273452252161e-62 | 559 | 1 | 3.93716355501646e-60 | 1.96858177750823e-60 | 560 | 1 | 1.19268221603885e-57 | 5.96341108019424e-58 | 561 | 1 | 1.76334487404731e-55 | 8.81672437023656e-56 | 562 | 1 | 3.55032645866728e-53 | 1.77516322933364e-53 | 563 | 1 | 7.13052891338809e-51 | 3.56526445669404e-51 | 564 | 1 | 2.00524232846188e-48 | 1.00262116423094e-48 | 565 | 1 | 5.64015757600953e-46 | 2.82007878800477e-46 | 566 | 1 | 1.30768540572842e-43 | 6.53842702864209e-44 | 567 | 1 | 1.18629834164605e-41 | 5.93149170823027e-42 | 568 | 1 | 1.50260592038731e-39 | 7.51302960193655e-40 | 569 | 1 | 4.14239045523836e-37 | 2.07119522761918e-37 | 570 | 1 | 9.32855085589458e-35 | 4.66427542794729e-35 | 571 | 1 | 1.76747213686122e-32 | 8.83736068430612e-33 | 572 | 1 | 3.43283777630952e-30 | 1.71641888815476e-30 | 573 | 1 | 5.33225663803836e-28 | 2.66612831901918e-28 | 574 | 1 | 1.24998522121906e-25 | 6.24992610609529e-26 | 575 | 1 | 1.22371313548098e-24 | 6.1185656774049e-25 | 576 | 1 | 2.82716389467713e-22 | 1.41358194733857e-22 | 577 | 1 | 3.35873818646337e-20 | 1.67936909323169e-20 | 578 | 1 | 9.96021677978048e-19 | 4.98010838989024e-19 | 579 | 1 | 4.9182721115862e-16 | 2.4591360557931e-16 | 580 | 0.999999999999908 | 1.84063229479279e-13 | 9.20316147396396e-14 | 581 | 0.999999999992874 | 1.42517788634405e-11 | 7.12588943172023e-12 | 582 | 0.999999996259734 | 7.48053229667605e-09 | 3.74026614833802e-09 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | Description | # significant tests | % significant tests | OK/NOK | 1% type I error level | 576 | 1 | NOK | 5% type I error level | 576 | 1 | NOK | 10% type I error level | 576 | 1 | NOK |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/104fsr1293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/104fsr1293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/1fedx1293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/1fedx1293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/28oc01293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/28oc01293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/38oc01293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/38oc01293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/48oc01293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/48oc01293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/58oc01293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/58oc01293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/60xbl1293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/60xbl1293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/7boso1293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/7boso1293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/8boso1293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/8boso1293645852.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/9boso1293645852.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/29/t129364624967quc459anxqr9y/9boso1293645852.ps (open in new window) |
| | Parameters (Session): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ; | | Parameters (R input): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No 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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