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 | | Ergebnis
[t] = + 0.420818243142633 -0.00854984625152386U[t] + 0.0560030435963667nD[t] + 2.4335602121075T[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) | 0.420818243142633 | 29.94 | 0.0141 | 0.988794 | 0.494397 | | U | -0.00854984625152386 | 0.002306 | -3.7071 | 0.000246 | 0.000123 | | nD | 0.0560030435963667 | 0.020975 | 2.67 | 0.007961 | 0.00398 | | T | 2.4335602121075 | 0.376127 | 6.47 | 0 | 0 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | | 1 | 760 | 153.189140195334 | 606.810859804666 | | 2 | 389 | 128.853538074268 | 260.146461925732 | | 3 | 201 | 104.517935953192 | 96.4820640468077 | | 4 | 987 | 239.688120708387 | 747.311879291613 | | 5 | 517 | 215.352518587309 | 301.647481412691 | | 6 | 272 | 191.016916466234 | 80.9830835337659 | | 7 | 144 | 166.681314345159 | -22.6813143451590 | | 8 | 141 | 77.0507950522177 | 63.9492049477823 | | 9 | 266 | 101.386397173293 | 164.613602826707 | | 10 | 504 | 125.721999294368 | 378.278000705632 | | 11 | 960 | 150.057601415443 | 809.942398584557 | | 12 | 72.3 | 166.655664806405 | -94.3556648064045 | | 13 | 128 | 190.991266927480 | -62.9912669274796 | | 14 | 229 | 215.326869048555 | 13.6731309514454 | | 15 | 413 | 239.662471169630 | 173.337528830370 | | 16 | 748 | 263.998073290705 | 484.001926709295 | | 17 | 795 | 104.423743035246 | 690.576256964754 | | 18 | 209 | 55.7525387930953 | 153.247461206905 | | 19 | 833 | 201.817595206235 | 631.182404793765 | | 20 | 252 | 153.146390964084 | 98.8536090359155 | | 21 | 140 | 128.810788843009 | 11.1892111569906 | | 22 | 78.4 | 104.475186721934 | -26.0751867219344 | | 23 | 128 | 60.2071327420501 | 67.7928672579499 | | 24 | 236 | 84.5427348631251 | 151.457265136875 | | 25 | 466 | 108.878336984200 | 357.1216630158 | | 26 | 844 | 133.213939105275 | 710.786060894725 | | 27 | 84.2 | 77.0080458209601 | 7.19195417903991 | | 28 | 274 | 125.679250063110 | 148.320749936890 | | 29 | 501 | 150.014852184185 | 350.985147815815 | | 30 | 918 | 174.350454305260 | 743.64954569474 | | 31 | 61.5 | 104.169521965198 | -42.6695219651980 | | 32 | 189 | 152.840726207348 | 36.1592737926519 | | 33 | 601 | 201.511930449498 | 399.488069550502 | | 34 | 1076 | 225.847532570573 | 850.152467429427 | | 35 | 60 | 104.449537183180 | -44.4495371831798 | | 36 | 184 | 153.12074142533 | 30.8792585746701 | | 37 | 580 | 201.79194566748 | 378.20805433252 | | 38 | 1038 | 226.127547788555 | 811.872452211445 | | 39 | 42.9 | 166.612915575147 | -123.712915575147 | | 40 | 124 | 215.284119817297 | -91.284119817297 | | 41 | 369 | 263.955324059447 | 105.044675940553 | | 42 | 640 | 288.290926180522 | 351.709073819478 | | 43 | 841 | 250.377651447115 | 590.622348552885 | | 44 | 287 | 201.706447204965 | 85.2935527950352 | | 45 | 99.7 | 153.035242962815 | -53.3352429628147 | | 46 | 35.7 | 104.364038720665 | -68.6640387206645 | | 47 | 400 | 157.293045838805 | 242.706954161195 | | 48 | 133 | 108.621841596654 | 24.3781584033455 | | 49 | 45.6 | 59.9506373545044 | -14.3506373545044 | | 50 | 50.5 | 54.8248649683161 | -4.32486496831611 | | 51 | 150 | 103.496069210466 | 46.5039307895338 | | 52 | 262 | 127.831671331541 | 134.168328668459 | | 53 | 460 | 152.167273452616 | 307.832726547384 | | 54 | 810 | 176.502875573691 | 633.497124426309 | | 55 | 48.6 | 55.3848954042798 | -6.7848954042798 | | 56 | 143 | 104.056099646430 | 38.9439003535701 | | 57 | 249 | 128.391701767505 | 120.608298232495 | | 58 | 436 | 152.72730388858 | 283.27269611142 | | 59 | 766 | 177.062906009655 | 588.937093990345 | | 60 | 25.4 | 76.6660519708991 | -51.2660519708991 | | 61 | 66.7 | 125.337256213049 | -58.6372562130493 | | 62 | 109 | 149.672858334124 | -40.6728583341243 | | 63 | 299 | 198.344062576274 | 100.655937423726 | | 64 | 830 | 247.015266818425 | 582.984733181575 | | 65 | 18.5 | 103.827528115137 | -85.327528115137 | | 66 | 45.8 | 152.498732357287 | -106.698732357287 | | 67 | 117 | 201.169936599437 | -84.1699365994372 | | 68 | 304 | 249.841140841587 | 54.1588591584127 | | 69 | 801 | 298.512345083737 | 502.487654916263 | | 70 | 18.1 | 104.107543333119 | -86.0075433331188 | | 71 | 44.5 | 152.778747575269 | -108.278747575269 | | 72 | 113 | 201.449951817419 | -88.449951817419 | | 73 | 292 | 250.121156059569 | 41.8788439404308 | | 74 | 766 | 298.792360301719 | 467.207639698281 | | 75 | 12.9 | 166.270921725086 | -153.370921725086 | | 76 | 29.9 | 214.942125967236 | -185.042125967236 | | 77 | 111 | 287.948932330461 | -176.948932330461 | | 78 | 272 | 336.620136572611 | -64.6201365726113 | | 79 | 1061 | 409.626942935837 | 651.373057064163 | | 80 | 1007 | 230.000607583226 | 776.999392416774 | | 81 | 461 | 193.497204401614 | 267.502795598386 | | 82 | 212 | 156.993801220001 | 55.0061987799988 | | 83 | 28.6 | 59.651392735701 | -31.051392735701 | | 84 | 30.9 | 54.1173574377581 | -23.2173574377581 | | 85 | 84.1 | 102.788561679908 | -18.6885616799082 | | 86 | 236 | 151.459765922058 | 84.5402340779417 | | 87 | 673 | 200.130970164208 | 472.869029835792 | | 88 | 11.1 | 103.400035802561 | -92.3000358025608 | | 89 | 25 | 152.071240044711 | -127.071240044711 | | 90 | 58.7 | 200.742444286861 | -142.042444286861 | | 91 | 137 | 249.413648529011 | -112.413648529011 | | 92 | 327 | 298.084852771161 | 28.9151472288388 | | 93 | 790 | 346.756057013311 | 443.243942986689 | | 94 | 10.8 | 103.680051020543 | -92.8800510205426 | | 95 | 24.2 | 152.351255262693 | -128.151255262693 | | 96 | 69 | 213.190260565380 | -144.190260565380 | | 97 | 202 | 274.029265868068 | -72.029265868068 | | 98 | 752 | 347.036072231293 | 404.963927768707 | | 99 | 7.81 | 165.843429412510 | -158.033429412510 | | 100 | 16.5 | 214.514633654660 | -198.01463365466 | | 101 | 52.9 | 287.521440017885 | -234.621440017885 | | 102 | 118 | 336.192644260035 | -218.192644260035 | | 103 | 399 | 409.199450623260 | -10.1994506232603 | | 104 | 798 | 295.173480285483 | 502.826519714517 | | 105 | 317 | 246.502276043333 | 70.4977239566669 | | 106 | 80.9 | 173.495469680108 | -92.5954696801079 | | 107 | 33.4 | 124.824265437958 | -91.4242654379578 | | 108 | 21.7 | 100.488663316883 | -78.7886633168828 | | 109 | 14.2 | 76.1530611958077 | -61.9530611958077 | | 110 | 435 | 229.359369114362 | 205.640630885638 | | 111 | 105 | 156.352562751137 | -51.352562751137 | | 112 | 41.9 | 107.681358508987 | -65.7813585089868 | | 113 | 17.2 | 59.0101542668367 | -41.8101542668367 | | 114 | 5.17 | 165.159441712388 | -159.989441712388 | | 115 | 10.1 | 213.830645954538 | -203.730645954538 | | 116 | 20.3 | 262.501850196688 | -242.201850196688 | | 117 | 41.3 | 311.173054438838 | -269.873054438838 | | 118 | 85.4 | 359.844258680988 | -274.444258680988 | | 119 | 179 | 408.515462923138 | -229.515462923138 | | 120 | 15.8 | 52.8348805000295 | -37.0348805000295 | | 121 | 37.8 | 101.506084742180 | -63.7060847421796 | | 122 | 93.4 | 150.177288984330 | -56.7772889843297 | | 123 | 236 | 198.84849322648 | 37.1515067735202 | | 124 | 603 | 247.51969746863 | 355.48030253137 | | 125 | 14.8 | 53.674926153975 | -38.874926153975 | | 126 | 35.2 | 102.346130396125 | -67.1461303961251 | | 127 | 86 | 151.017334638275 | -65.0173346382752 | | 128 | 215 | 199.688538880425 | 15.3114611195746 | | 129 | 544 | 248.359743122575 | 295.640256877425 | | 130 | 11.4 | 150.788763106982 | -139.388763106982 | | 131 | 23.2 | 199.459967349132 | -176.259967349132 | | 132 | 48.2 | 248.131171591283 | -199.931171591283 | | 133 | 102 | 296.802375833433 | -194.802375833433 | | 134 | 217 | 345.473580075583 | -128.473580075583 | | 135 | 10.3 | 57.7276773291082 | -47.4276773291082 | | 136 | 22.9 | 106.398881571258 | -83.4988815712582 | | 137 | 52.1 | 155.070085813408 | -102.970085813408 | | 138 | 121 | 203.741290055558 | -82.7412900555585 | | 139 | 287 | 252.412494297709 | 34.5875057022914 | | 140 | 683 | 301.083698539859 | 381.916301460141 | | 141 | 8.11 | 86.6963914685557 | -78.5863914685557 | | 142 | 14 | 123.199794650168 | -109.199794650168 | | 143 | 20.2 | 147.535396771243 | -127.335396771243 | | 144 | 43 | 196.206601013393 | -153.206601013393 | | 145 | 138 | 269.213407376619 | -131.213407376619 | | 146 | 304 | 317.884611618769 | -13.8846116187687 | | 147 | 4.89 | 101.970081770238 | -97.0800817702379 | | 148 | 9.51 | 150.641286012388 | -141.131286012388 | | 149 | 16.8 | 199.312490254538 | -182.512490254538 | | 150 | 54.2 | 272.319296617763 | -218.119296617763 | | 151 | 161 | 345.326102980988 | -184.326102980988 | | 152 | 19.7 | 45.9371602314574 | -26.2371602314574 | | 153 | 49.23 | 94.6083644736075 | -45.3783644736075 | | 154 | 127 | 143.279568715758 | -16.2795687157576 | | 155 | 334 | 191.950772957908 | 142.049227042092 | | 156 | 890 | 240.621977200058 | 649.378022799942 | | 157 | 13.7 | 47.3932393649629 | -33.6932393649629 | | 158 | 31.9 | 96.064443607113 | -64.164443607113 | | 159 | 76.8 | 144.735647849263 | -67.9356478492631 | | 160 | 189 | 193.406852091413 | -4.40685209141323 | | 161 | 471 | 242.078056333563 | 228.921943666437 | | 162 | 9.46 | 50.6974189371485 | -41.2374189371485 | | 163 | 20.7 | 99.3686231792987 | -78.6686231792987 | | 164 | 46.3 | 148.039827421449 | -101.739827421449 | | 165 | 106 | 196.711031663599 | -90.7110316635989 | | 166 | 247 | 245.382235905749 | 1.61776409425102 | | 167 | 579 | 294.053440147899 | 284.946559852101 | | 168 | 19.2 | 100.208668833244 | -81.0086688332442 | | 169 | 42.7 | 148.879873075394 | -106.179873075394 | | 170 | 96.7 | 197.551077317544 | -100.851077317544 | | 171 | 222 | 246.222281559694 | -24.2222815596945 | | 172 | 515 | 294.893485801845 | 220.106514198155 | | 173 | 7.07 | 56.0177080788034 | -48.9477080788034 | | 174 | 14.7 | 104.688912320953 | -89.9889123209535 | | 175 | 31.1 | 153.360116563104 | -122.260116563104 | | 176 | 67.4 | 202.031320805254 | -134.631320805254 | | 177 | 148 | 250.702525047404 | -102.702525047404 | | 178 | 329 | 299.373729289554 | 29.6262707104461 | | 179 | 3.51 | 148.651301544101 | -145.141301544101 | | 180 | 6.46 | 197.322505786251 | -190.862505786251 | | 181 | 22.8 | 245.993710028402 | -223.193710028402 | | 182 | 43.6 | 294.664914270552 | -251.064914270552 | | 183 | 84.5 | 343.336118512702 | -258.836118512702 | | 184 | 55.9 | 342.162659867925 | -286.262659867925 | | 185 | 25.8 | 253.882163203017 | -228.082163203017 | | 186 | 12.1 | 220.484649262549 | -208.384649262549 | | 187 | 5.03 | 147.477842899324 | -142.447842899324 | | 188 | 2.83 | 98.806638657174 | -95.976638657174 | | 189 | 3.68 | 71.1086519074086 | -67.4286519074086 | | 190 | 6.83 | 119.779856149559 | -112.949856149559 | | 191 | 24.5 | 217.122264633859 | -192.622264633859 | | 192 | 47.4 | 265.793468876009 | -218.393468876009 | | 193 | 92.8 | 314.464673118159 | -221.664673118159 | | 194 | 2.8 | 98.2701280516465 | -95.4701280516465 | | 195 | 4.92 | 146.941332293797 | -142.021332293797 | | 196 | 8.92 | 195.612536535947 | -186.692536535947 | | 197 | 16.2 | 244.283740778097 | -228.083740778097 | | 198 | 29.7 | 292.954945020247 | -263.254945020247 | | 199 | 55 | 341.626149262397 | -286.626149262397 | | 200 | 11.9 | 41.6622371056954 | -29.7622371056954 | | 201 | 27 | 90.3334413478456 | -63.3334413478456 | | 202 | 63.2 | 139.004645589996 | -75.8046455899957 | | 203 | 151 | 187.675849832146 | -36.6758498321458 | | 204 | 367 | 236.347054074296 | 130.652945925704 | | 205 | 896 | 285.018258316446 | 610.981741683554 | | 206 | 17.5 | 91.7895204813511 | -74.2895204813511 | | 207 | 38.2 | 140.460724723501 | -102.260724723501 | | 208 | 85 | 189.131928965651 | -104.131928965651 | | 209 | 193 | 237.803133207801 | -44.8031332078014 | | 210 | 440 | 286.474337449952 | 153.525662550048 | | 211 | 5.68 | 46.4224958113866 | -40.7424958113866 | | 212 | 11.3 | 95.0937000535367 | -83.7937000535367 | | 213 | 23.1 | 143.764904295687 | -120.664904295687 | | 214 | 47.9 | 192.436108537837 | -144.536108537837 | | 215 | 101 | 241.107312779987 | -140.107312779987 | | 216 | 215 | 289.778517022137 | -74.7785170221372 | | 217 | 5.35 | 47.2625414653321 | -41.9125414653321 | | 218 | 10.6 | 95.9337457074822 | -85.3337457074822 | | 219 | 21.3 | 144.604949949632 | -123.304949949632 | | 220 | 43.6 | 193.276154191782 | -149.676154191782 | | 221 | 90.8 | 241.947358433933 | -151.147358433933 | | 222 | 191 | 290.618562676083 | -99.6185626760827 | | 223 | 4.26 | 51.7427849530415 | -47.4827849530415 | | 224 | 8.08 | 100.413989195192 | -92.3339891951915 | | 225 | 15.6 | 149.085193437342 | -133.485193437342 | | 226 | 30.6 | 197.756397679492 | -167.156397679492 | | 227 | 61 | 246.427601921642 | -185.427601921642 | | 228 | 123 | 295.098806163792 | -172.098806163792 | | 229 | 6.92 | 38.8433931134391 | -31.9233931134391 | | 230 | 14.3 | 87.5145973555891 | -73.2145973555891 | | 231 | 30.2 | 136.185801597739 | -105.985801597739 | | 232 | 65.1 | 184.857005839889 | -119.757005839889 | | 233 | 143 | 233.528210082039 | -90.5282100820395 | | 234 | 315 | 282.199414324190 | 32.8005856758104 | | 235 | 2.58 | 64.2687749061895 | -61.6887749061895 | | 236 | 4.51 | 112.939979148340 | -108.429979148340 | | 237 | 7.97 | 161.611183390490 | -153.641183390490 | | 238 | 19.1 | 234.617989753715 | -215.517989753715 | | 239 | 46.8 | 307.62479611694 | -260.82479611694 | | 240 | 44.5 | 305.914826866635 | -261.414826866635 | | 241 | 21.2 | 245.075821563948 | -223.875821563948 | | 242 | 10.2 | 184.23681626126 | -174.03681626126 | | 243 | 4.37 | 111.230009898035 | -106.860009898035 | | 244 | 2.51 | 62.5588056558848 | -60.0488056558848 | | 245 | 6.14 | 34.5684699876771 | -28.4284699876771 | | 246 | 12.4 | 83.2396742298272 | -70.8396742298272 | | 247 | 25.6 | 131.910878471977 | -106.310878471977 | | 248 | 54 | 180.582082714127 | -126.582082714127 | | 249 | 115 | 229.253286956278 | -114.253286956278 | | 250 | 250 | 277.924491198428 | -27.9244911984277 | | 251 | 4.31 | 37.8726495598627 | -33.5626495598627 | | 252 | 8.2 | 86.5438538020129 | -78.3438538020129 | | 253 | 11.4 | 110.879455923088 | -99.479455923088 | | 254 | 22.2 | 159.550660165238 | -137.350660165238 | | 255 | 44 | 208.221864407388 | -164.221864407388 | | 256 | 3.31 | 43.1929387015176 | -39.8829387015176 | | 257 | 6.04 | 91.8641429436677 | -85.8241429436677 | | 258 | 11.1 | 140.535347185818 | -129.435347185818 | | 259 | 20.8 | 189.206551427968 | -168.406551427968 | | 260 | 39.5 | 237.877755670118 | -198.377755670118 | | 261 | 75.7 | 286.548959912268 | -210.848959912268 | | 262 | 8 | 28.8374677284096 | -20.8374677284096 | | 263 | 17 | 77.5086719705597 | -60.5086719705597 | | 264 | 36.8 | 126.17987621271 | -89.3798762127099 | | 265 | 81.7 | 174.85108045486 | -93.15108045486 | | 266 | 184 | 223.52228469701 | -39.5222846970101 | | 267 | 418 | 272.19348893916 | 145.806511060840 | | 268 | 3.75 | 34.4377720880463 | -30.6877720880463 | | 269 | 6.98 | 83.1089763301964 | -76.1289763301964 | | 270 | 13.2 | 131.780180572347 | -118.580180572347 | | 271 | 25.2 | 180.451384814497 | -155.251384814497 | | 272 | 49 | 229.122589056647 | -180.122589056647 | | 273 | 96.1 | 277.793793298797 | -181.693793298797 | | 274 | 180 | 269.374644946904 | -89.3746449469038 | | 275 | 86.3 | 220.703440704754 | -134.403440704754 | | 276 | 41.7 | 172.032236462604 | -130.332236462604 | | 277 | 20.4 | 123.361032220453 | -102.961032220453 | | 278 | 10.2 | 74.6898279783034 | -64.4898279783034 | | 279 | 5.19 | 26.0186237361533 | -20.8286237361533 | | 280 | 54.8 | 273.724190534982 | -218.924190534982 | | 281 | 29.6 | 225.052986292832 | -195.452986292832 | | 282 | 16.1 | 176.381782050682 | -160.281782050682 | | 283 | 8.9 | 127.710577808532 | -118.810577808532 | | 284 | 4.97 | 79.0393735663819 | -74.0693735663819 | | 285 | 2.8 | 30.3681693242318 | -27.5681693242318 | | 286 | 5.97 | 7.46285209959996 | -1.49285209959996 | | 287 | 12 | 56.1340563417501 | -44.1340563417501 | | 288 | 35.6 | 129.140862704975 | -93.5408627049752 | | 289 | 75.3 | 177.812066947125 | -102.512066947125 | | 290 | 236 | 250.818873310351 | -14.8188733103505 | | 291 | 4.24 | 8.91893123310547 | -4.67893123310547 | | 292 | 8.05 | 57.5901354752556 | -49.5401354752556 | | 293 | 15.5 | 106.261339717406 | -90.7613397174057 | | 294 | 30.4 | 154.932543959556 | -124.532543959556 | | 295 | 60.6 | 203.603748201706 | -143.003748201706 | | 296 | 122 | 252.274952443856 | -130.274952443856 | | 297 | 3.11 | 12.2231108052911 | -9.11311080529114 | | 298 | 5.62 | 60.8943150474412 | -55.2743150474412 | | 299 | 10.3 | 109.565519289591 | -99.2655192895913 | | 300 | 19 | 158.236723531741 | -139.236723531741 | | 301 | 35.5 | 206.907927773892 | -171.407927773892 | | 302 | 67.2 | 255.579132016042 | -188.379132016042 | | 303 | 2.98 | 13.0631564592367 | -10.0831564592367 | | 304 | 5.34 | 61.7343607013867 | -56.3943607013868 | | 305 | 9.67 | 110.405564943537 | -100.735564943537 | | 306 | 17.7 | 159.076769185687 | -141.376769185687 | | 307 | 32.9 | 207.747973427837 | -174.847973427837 | | 308 | 61.8 | 256.419177669987 | -194.619177669987 | | 309 | 4.5 | -35.2863791580194 | 39.7863791580194 | | 310 | 8.62 | 13.3848250841307 | -4.76482508413074 | | 311 | 23.6 | 86.391631447356 | -62.7916314473559 | | 312 | 47.2 | 135.062835689506 | -87.862835689506 | | 313 | 137 | 208.069642052731 | -71.0696420527312 | | 314 | 3.3 | -33.8303000245139 | 37.1303000245139 | | 315 | 6 | 14.8409042176363 | -8.84090421763626 | | 316 | 11.1 | 63.5121084597864 | -52.4121084597864 | | 317 | 20.7 | 112.183312701937 | -91.4833127019365 | | 318 | 39.2 | 160.854516944087 | -121.654516944087 | | 319 | 75 | 209.525721186237 | -134.525721186237 | | 320 | 82.4 | 122.571179537492 | -40.1711795374925 | | 321 | 42.7 | 73.8999752953424 | -31.1999752953424 | | 322 | 22.3 | 25.2287710531923 | -2.92877105319228 | | 323 | 11.8 | -23.4424331889578 | 35.2424331889578 | | 324 | 6.37 | -72.113637431108 | 78.483637431108 | | 325 | 3.46 | -120.784841673258 | 124.244841673258 | | 326 | 58.5 | -5.67651423536552 | 64.1765142353655 | | 327 | 31.3 | -54.3477184775156 | 85.6477184775156 | | 328 | 17 | -103.018922719666 | 120.018922719666 | | 329 | 9.3 | -151.690126961816 | 160.990126961816 | | 330 | 5.16 | -200.361331203966 | 205.521331203966 | | 331 | 2.9 | -249.032535446116 | 251.932535446116 | | 332 | 698 | 181.628647959880 | 516.37135204012 | | 333 | 230 | 132.957443717730 | 97.0425562822705 |
| Goldfeld-Quandt test for Heteroskedasticity | | p-values | Alternative Hypothesis | | breakpoint index | greater | 2-sided | less | | 7 | 0.140867632073434 | 0.281735264146868 | 0.859132367926566 | | 8 | 0.0560881295549597 | 0.112176259109919 | 0.94391187044504 | | 9 | 0.0368516218465215 | 0.073703243693043 | 0.963148378153478 | | 10 | 0.0195322190697717 | 0.0390644381395435 | 0.980467780930228 | | 11 | 0.0155612236085501 | 0.0311224472171001 | 0.98443877639145 | | 12 | 0.0103313394067961 | 0.0206626788135921 | 0.989668660593204 | | 13 | 0.0080610268021526 | 0.0161220536043052 | 0.991938973197847 | | 14 | 0.0178058433162204 | 0.0356116866324409 | 0.98219415668378 | | 15 | 0.0258145019319016 | 0.0516290038638032 | 0.974185498068098 | | 16 | 0.0160509596684932 | 0.0321019193369864 | 0.983949040331507 | | 17 | 0.0474445133436246 | 0.0948890266872491 | 0.952555486656375 | | 18 | 0.0320105962353133 | 0.0640211924706265 | 0.967989403764687 | | 19 | 0.023589594068346 | 0.047179188136692 | 0.976410405931654 | | 20 | 0.0242659529601442 | 0.0485319059202884 | 0.975734047039856 | | 21 | 0.0152096021808623 | 0.0304192043617246 | 0.984790397819138 | | 22 | 0.0113919818128870 | 0.0227839636257740 | 0.988608018187113 | | 23 | 0.0108602417794445 | 0.0217204835588891 | 0.989139758220555 | | 24 | 0.0066238103122948 | 0.0132476206245896 | 0.993376189687705 | | 25 | 0.00429826862342486 | 0.00859653724684972 | 0.995701731376575 | | 26 | 0.006753404061348 | 0.013506808122696 | 0.993246595938652 | | 27 | 0.00485860080210549 | 0.00971720160421097 | 0.995141399197895 | | 28 | 0.00444236257185557 | 0.00888472514371114 | 0.995557637428144 | | 29 | 0.00370433693375145 | 0.00740867386750289 | 0.996295663066249 | | 30 | 0.00414701670588357 | 0.00829403341176715 | 0.995852983294116 | | 31 | 0.00402167215073166 | 0.00804334430146331 | 0.995978327849268 | | 32 | 0.00363683824536267 | 0.00727367649072534 | 0.996363161754637 | | 33 | 0.00347527821082996 | 0.00695055642165991 | 0.99652472178917 | | 34 | 0.0062593892940404 | 0.0125187785880808 | 0.99374061070596 | | 35 | 0.00587362084653193 | 0.0117472416930639 | 0.994126379153468 | | 36 | 0.00551400095916075 | 0.0110280019183215 | 0.99448599904084 | | 37 | 0.00598665619533291 | 0.0119733123906658 | 0.994013343804667 | | 38 | 0.0100168218884814 | 0.0200336437769627 | 0.989983178111519 | | 39 | 0.0210145822697851 | 0.0420291645395703 | 0.978985417730215 | | 40 | 0.015889283509543 | 0.031778567019086 | 0.984110716490457 | | 41 | 0.0187639213951594 | 0.0375278427903187 | 0.98123607860484 | | 42 | 0.0184433275114528 | 0.0368866550229056 | 0.981556672488547 | | 43 | 0.0263148547211081 | 0.0526297094422161 | 0.973685145278892 | | 44 | 0.0205500948656373 | 0.0411001897312747 | 0.979449905134363 | | 45 | 0.0189483675046723 | 0.0378967350093445 | 0.981051632495328 | | 46 | 0.061250588684347 | 0.122501177368694 | 0.938749411315653 | | 47 | 0.114759755518800 | 0.229519511037600 | 0.8852402444812 | | 48 | 0.138784721734743 | 0.277569443469486 | 0.861215278265257 | | 49 | 0.245263268149824 | 0.490526536299648 | 0.754736731850176 | | 50 | 0.364028730084073 | 0.728057460168147 | 0.635971269915927 | | 51 | 0.330418104809074 | 0.660836209618149 | 0.669581895190926 | | 52 | 0.296123447500545 | 0.592246895001091 | 0.703876552499455 | | 53 | 0.282426166428039 | 0.564852332856078 | 0.71757383357196 | | 54 | 0.394888391952735 | 0.78977678390547 | 0.605111608047265 | | 55 | 0.411909455891484 | 0.823818911782969 | 0.588090544108516 | | 56 | 0.372076109257337 | 0.744152218514674 | 0.627923890742663 | | 57 | 0.341807377408013 | 0.683614754816026 | 0.658192622591987 | | 58 | 0.325653325047207 | 0.651306650094413 | 0.674346674952793 | | 59 | 0.404445679673068 | 0.808891359346136 | 0.595554320326932 | | 60 | 0.417521095939438 | 0.835042191878876 | 0.582478904060562 | | 61 | 0.382872049033365 | 0.76574409806673 | 0.617127950966635 | | 62 | 0.378159071021071 | 0.756318142042142 | 0.621840928978929 | | 63 | 0.428551037317994 | 0.857102074635989 | 0.571448962682006 | | 64 | 0.498194204684212 | 0.996388409368425 | 0.501805795315788 | | 65 | 0.536817407710262 | 0.926365184579477 | 0.463182592289738 | | 66 | 0.497448981948281 | 0.994897963896562 | 0.502551018051719 | | 67 | 0.522115510619012 | 0.955768978761976 | 0.477884489380988 | | 68 | 0.59576473599054 | 0.80847052801892 | 0.40423526400946 | | 69 | 0.66081900451584 | 0.67836199096832 | 0.33918099548416 | | 70 | 0.687936967313747 | 0.624126065372506 | 0.312063032686253 | | 71 | 0.652975589086305 | 0.694048821827389 | 0.347024410913695 | | 72 | 0.660356125445734 | 0.679287749108531 | 0.339643874554266 | | 73 | 0.705254441782502 | 0.589491116434996 | 0.294745558217498 | | 74 | 0.760728290037789 | 0.478543419924423 | 0.239271709962211 | | 75 | 0.82648823152811 | 0.347023536943781 | 0.173511768471891 | | 76 | 0.80591028417294 | 0.388179431654119 | 0.194089715827059 | | 77 | 0.810551289077222 | 0.378897421845557 | 0.189448710922778 | | 78 | 0.834811115189887 | 0.330377769620225 | 0.165188884810113 | | 79 | 0.947669390540996 | 0.104661218918008 | 0.0523306094590042 | | 80 | 0.997265869184826 | 0.00546826163034776 | 0.00273413081517388 | | 81 | 0.997643882316088 | 0.00471223536782441 | 0.00235611768391221 | | 82 | 0.997052200730425 | 0.00589559853914966 | 0.00294779926957483 | | 83 | 0.998070206571627 | 0.00385958685674685 | 0.00192979342837342 | | 84 | 0.9993697971509 | 0.00126040569820118 | 0.00063020284910059 | | 85 | 0.999367548166584 | 0.00126490366683206 | 0.000632451833416032 | | 86 | 0.999268550144334 | 0.00146289971133119 | 0.000731449855665594 | | 87 | 0.9998601518481 | 0.00027969630380143 | 0.000139848151900715 | | 88 | 0.999943157987464 | 0.000113684025072675 | 5.68420125363377e-05 | | 89 | 0.999930999872197 | 0.000138000255606017 | 6.90001278030087e-05 | | 90 | 0.999905465891141 | 0.000189068217717003 | 9.45341088585016e-05 | | 91 | 0.9999016254385 | 0.000196749122999897 | 9.83745614999486e-05 | | 92 | 0.999913782098038 | 0.000172435803924426 | 8.62179019622128e-05 | | 93 | 0.999983550952237 | 3.28980955269440e-05 | 1.64490477634720e-05 | | 94 | 0.999991592670564 | 1.68146588719529e-05 | 8.40732943597644e-06 | | 95 | 0.999989196986977 | 2.16060260460195e-05 | 1.08030130230097e-05 | | 96 | 0.99998564745026 | 2.87050994778571e-05 | 1.43525497389285e-05 | | 97 | 0.999986724060139 | 2.65518797223599e-05 | 1.32759398611799e-05 | | 98 | 0.999997857330973 | 4.28533805434254e-06 | 2.14266902717127e-06 | | 99 | 0.999999350873644 | 1.29825271180884e-06 | 6.49126355904422e-07 | | 100 | 0.999999281860658 | 1.43627868487984e-06 | 7.1813934243992e-07 | | 101 | 0.999999007381438 | 1.98523712332900e-06 | 9.92618561664501e-07 | | 102 | 0.999999034271872 | 1.93145625672125e-06 | 9.65728128360627e-07 | | 103 | 0.999999488418839 | 1.02316232187739e-06 | 5.11581160938697e-07 | | 104 | 0.999999985745253 | 2.85094950228605e-08 | 1.42547475114302e-08 | | 105 | 0.999999985719003 | 2.85619945996094e-08 | 1.42809972998047e-08 | | 106 | 0.99999997766191 | 4.46761807308948e-08 | 2.23380903654474e-08 | | 107 | 0.999999968747061 | 6.25058772846464e-08 | 3.12529386423232e-08 | | 108 | 0.999999965217891 | 6.95642171123254e-08 | 3.47821085561627e-08 | | 109 | 0.999999971982791 | 5.60344174541957e-08 | 2.80172087270978e-08 | | 110 | 0.999999985842504 | 2.83149910690596e-08 | 1.41574955345298e-08 | | 111 | 0.99999998000998 | 3.99800384463975e-08 | 1.99900192231988e-08 | | 112 | 0.999999980075905 | 3.98481902552358e-08 | 1.99240951276179e-08 | | 113 | 0.99999999037096 | 1.92580803537502e-08 | 9.62904017687508e-09 | | 114 | 0.999999999477508 | 1.04498370578102e-09 | 5.2249185289051e-10 | | 115 | 0.99999999974151 | 5.16980427789416e-10 | 2.58490213894708e-10 | | 116 | 0.999999999681867 | 6.362656167331e-10 | 3.1813280836655e-10 | | 117 | 0.999999999512206 | 9.75588007348257e-10 | 4.87794003674128e-10 | | 118 | 0.999999999368386 | 1.26322851698399e-09 | 6.31614258491993e-10 | | 119 | 0.999999999436183 | 1.12763332521922e-09 | 5.63816662609612e-10 | | 120 | 0.999999999924465 | 1.51069976202865e-10 | 7.55349881014326e-11 | | 121 | 0.999999999949996 | 1.00007888902026e-10 | 5.00039444510128e-11 | | 122 | 0.99999999993903 | 1.21942028836554e-10 | 6.09710144182768e-11 | | 123 | 0.999999999927575 | 1.44849052670328e-10 | 7.2424526335164e-11 | | 124 | 0.999999999996531 | 6.9372169029214e-12 | 3.4686084514607e-12 | | 125 | 0.999999999997978 | 4.04494734865663e-12 | 2.02247367432832e-12 | | 126 | 0.999999999997442 | 5.11546309460839e-12 | 2.55773154730420e-12 | | 127 | 0.999999999995786 | 8.42723972767653e-12 | 4.21361986383827e-12 | | 128 | 0.999999999993533 | 1.29344660912066e-11 | 6.4672330456033e-12 | | 129 | 0.999999999999104 | 1.79240835605501e-12 | 8.96204178027507e-13 | | 130 | 0.999999999998987 | 2.02554482074901e-12 | 1.01277241037451e-12 | | 131 | 0.9999999999983 | 3.40128122170279e-12 | 1.70064061085140e-12 | | 132 | 0.999999999997114 | 5.77235455301448e-12 | 2.88617727650724e-12 | | 133 | 0.999999999995868 | 8.26387672218158e-12 | 4.13193836109079e-12 | | 134 | 0.999999999995174 | 9.65257395293575e-12 | 4.82628697646788e-12 | | 135 | 0.999999999997443 | 5.11469818937516e-12 | 2.55734909468758e-12 | | 136 | 0.999999999997014 | 5.971191815716e-12 | 2.985595907858e-12 | | 137 | 0.999999999995247 | 9.50645814736324e-12 | 4.75322907368162e-12 | | 138 | 0.999999999991807 | 1.63865705861370e-11 | 8.19328529306851e-12 | | 139 | 0.999999999989038 | 2.19234198418195e-11 | 1.09617099209097e-11 | | 140 | 0.999999999999799 | 4.02430839357596e-13 | 2.01215419678798e-13 | | 141 | 0.999999999999835 | 3.29807740923564e-13 | 1.64903870461782e-13 | | 142 | 0.999999999999778 | 4.43241929261823e-13 | 2.21620964630911e-13 | | 143 | 0.999999999999644 | 7.11278803639704e-13 | 3.55639401819852e-13 | | 144 | 0.999999999999371 | 1.25768941325726e-12 | 6.28844706628631e-13 | | 145 | 0.999999999998997 | 2.00536445425573e-12 | 1.00268222712787e-12 | | 146 | 0.999999999998826 | 2.34806311906948e-12 | 1.17403155953474e-12 | | 147 | 0.999999999999303 | 1.39449512868691e-12 | 6.97247564343455e-13 | | 148 | 0.999999999999157 | 1.68655462801720e-12 | 8.43277314008598e-13 | | 149 | 0.999999999998595 | 2.81072887258477e-12 | 1.40536443629238e-12 | | 150 | 0.999999999997697 | 4.60585495312819e-12 | 2.30292747656409e-12 | | 151 | 0.99999999999705 | 5.89986656592061e-12 | 2.94993328296031e-12 | | 152 | 0.999999999999438 | 1.12439515608719e-12 | 5.62197578043595e-13 | | 153 | 0.999999999999675 | 6.5029877239106e-13 | 3.2514938619553e-13 | | 154 | 0.999999999999717 | 5.65883071527794e-13 | 2.82941535763897e-13 | | 155 | 0.999999999999906 | 1.88504732901967e-13 | 9.42523664509835e-14 | | 156 | 1 | 3.284577116091e-20 | 1.6422885580455e-20 | | 157 | 1 | 2.89377522744895e-20 | 1.44688761372448e-20 | | 158 | 1 | 4.33035861319088e-20 | 2.16517930659544e-20 | | 159 | 1 | 8.1029357198793e-20 | 4.05146785993965e-20 | | 160 | 1 | 1.36403441935019e-19 | 6.82017209675095e-20 | | 161 | 1 | 9.82152823641726e-21 | 4.91076411820863e-21 | | 162 | 1 | 1.22520290788819e-20 | 6.12601453944094e-21 | | 163 | 1 | 2.20782866681920e-20 | 1.10391433340960e-20 | | 164 | 1 | 4.51848392018389e-20 | 2.25924196009194e-20 | | 165 | 1 | 9.61779614855968e-20 | 4.80889807427984e-20 | | 166 | 1 | 1.51279431498139e-19 | 7.56397157490696e-20 | | 167 | 1 | 1.51695503929426e-21 | 7.5847751964713e-22 | | 168 | 1 | 2.90749356979254e-21 | 1.45374678489627e-21 | | 169 | 1 | 6.17184438166167e-21 | 3.08592219083084e-21 | | 170 | 1 | 1.33881008765489e-20 | 6.69405043827446e-21 | | 171 | 1 | 2.29466140866686e-20 | 1.14733070433343e-20 | | 172 | 1 | 6.89015910497443e-22 | 3.44507955248722e-22 | | 173 | 1 | 1.03686170533783e-21 | 5.18430852668913e-22 | | 174 | 1 | 2.08527299679481e-21 | 1.04263649839740e-21 | | 175 | 1 | 4.49380245847972e-21 | 2.24690122923986e-21 | | 176 | 1 | 9.47650306234823e-21 | 4.73825153117411e-21 | | 177 | 1 | 1.91474890874446e-20 | 9.5737445437223e-21 | | 178 | 1 | 1.41696079961184e-20 | 7.0848039980592e-21 | | 179 | 1 | 2.33056393368334e-20 | 1.16528196684167e-20 | | 180 | 1 | 4.89071399396622e-20 | 2.44535699698311e-20 | | 181 | 1 | 1.05118805458977e-19 | 5.25594027294883e-20 | | 182 | 1 | 2.04572163507370e-19 | 1.02286081753685e-19 | | 183 | 1 | 3.45356832750871e-19 | 1.72678416375436e-19 | | 184 | 1 | 7.12882035076447e-19 | 3.56441017538224e-19 | | 185 | 1 | 1.35566023118132e-18 | 6.77830115590662e-19 | | 186 | 1 | 2.38564167566047e-18 | 1.19282083783024e-18 | | 187 | 1 | 2.49696304050258e-18 | 1.24848152025129e-18 | | 188 | 1 | 1.57713030980336e-18 | 7.88565154901678e-19 | | 189 | 1 | 1.50589732115091e-18 | 7.52948660575457e-19 | | 190 | 1 | 2.30724061140686e-18 | 1.15362030570343e-18 | | 191 | 1 | 4.71591642415161e-18 | 2.35795821207581e-18 | | 192 | 1 | 9.3916886766166e-18 | 4.6958443383083e-18 | | 193 | 1 | 1.83643173256608e-17 | 9.18215866283038e-18 | | 194 | 1 | 1.38126392951440e-17 | 6.90631964757201e-18 | | 195 | 1 | 1.68883523427366e-17 | 8.4441761713683e-18 | | 196 | 1 | 2.77465494005123e-17 | 1.38732747002562e-17 | | 197 | 1 | 5.28078864976018e-17 | 2.64039432488009e-17 | | 198 | 1 | 1.03164244518721e-16 | 5.15821222593605e-17 | | 199 | 1 | 1.87742208719482e-16 | 9.38711043597409e-17 | | 200 | 1 | 1.34456809492741e-16 | 6.72284047463706e-17 | | 201 | 1 | 1.52536397508122e-16 | 7.6268198754061e-17 | | 202 | 1 | 2.20697562275985e-16 | 1.10348781137992e-16 | | 203 | 1 | 3.27854906862849e-16 | 1.63927453431424e-16 | | 204 | 1 | 8.38173433069442e-17 | 4.19086716534721e-17 | | 205 | 1 | 5.72584923474069e-28 | 2.86292461737034e-28 | | 206 | 1 | 1.15274145317021e-27 | 5.76370726585106e-28 | | 207 | 1 | 2.69718274125e-27 | 1.348591370625e-27 | | 208 | 1 | 7.01413467118744e-27 | 3.50706733559372e-27 | | 209 | 1 | 1.29780862627549e-26 | 6.48904313137744e-27 | | 210 | 1 | 7.98373336386829e-29 | 3.99186668193414e-29 | | 211 | 1 | 1.52929213489331e-28 | 7.64646067446657e-29 | | 212 | 1 | 3.63330641928631e-28 | 1.81665320964315e-28 | | 213 | 1 | 9.30058455044838e-28 | 4.65029227522419e-28 | | 214 | 1 | 2.47269946881983e-27 | 1.23634973440992e-27 | | 215 | 1 | 6.99587843623438e-27 | 3.49793921811719e-27 | | 216 | 1 | 1.19041497752371e-26 | 5.95207488761855e-27 | | 217 | 1 | 2.45600702230275e-26 | 1.22800351115138e-26 | | 218 | 1 | 5.96906084501984e-26 | 2.98453042250992e-26 | | 219 | 1 | 1.51792471769677e-25 | 7.58962358848387e-26 | | 220 | 1 | 3.91546998104052e-25 | 1.95773499052026e-25 | | 221 | 1 | 1.06577702670845e-24 | 5.32888513354226e-25 | | 222 | 1 | 2.20643088812109e-24 | 1.10321544406055e-24 | | 223 | 1 | 4.65318879709110e-24 | 2.32659439854555e-24 | | 224 | 1 | 1.13799000338543e-23 | 5.68995001692714e-24 | | 225 | 1 | 2.87166121471276e-23 | 1.43583060735638e-23 | | 226 | 1 | 7.08161812804792e-23 | 3.54080906402396e-23 | | 227 | 1 | 1.75285207725708e-22 | 8.76426038628538e-23 | | 228 | 1 | 4.49301953996623e-22 | 2.24650976998312e-22 | | 229 | 1 | 5.87290888743549e-22 | 2.93645444371774e-22 | | 230 | 1 | 1.02207955094486e-21 | 5.1103977547243e-22 | | 231 | 1 | 2.07391311427415e-21 | 1.03695655713707e-21 | | 232 | 1 | 4.74419334032995e-21 | 2.37209667016498e-21 | | 233 | 1 | 1.05403308046653e-20 | 5.27016540233266e-21 | | 234 | 1 | 2.98936411376013e-21 | 1.49468205688006e-21 | | 235 | 1 | 4.70508842922013e-21 | 2.35254421461007e-21 | | 236 | 1 | 9.72225648851222e-21 | 4.86112824425611e-21 | | 237 | 1 | 2.32592735371971e-20 | 1.16296367685986e-20 | | 238 | 1 | 5.8545845655599e-20 | 2.92729228277995e-20 | | 239 | 1 | 1.42736513479789e-19 | 7.13682567398945e-20 | | 240 | 1 | 3.35582145032893e-19 | 1.67791072516447e-19 | | 241 | 1 | 7.52092411808614e-19 | 3.76046205904307e-19 | | 242 | 1 | 1.62483987128376e-18 | 8.12419935641882e-19 | | 243 | 1 | 3.20113941406587e-18 | 1.60056970703293e-18 | | 244 | 1 | 5.65354034843447e-18 | 2.82677017421723e-18 | | 245 | 1 | 9.17405752122393e-18 | 4.58702876061196e-18 | | 246 | 1 | 1.76777698063132e-17 | 8.83888490315661e-18 | | 247 | 1 | 3.70501723992511e-17 | 1.85250861996256e-17 | | 248 | 1 | 8.31139112992132e-17 | 4.15569556496066e-17 | | 249 | 1 | 1.93265344854607e-16 | 9.66326724273035e-17 | | 250 | 1 | 1.90652496483119e-16 | 9.53262482415596e-17 | | 251 | 1 | 3.64789218853683e-16 | 1.82394609426841e-16 | | 252 | 1 | 7.68358779704356e-16 | 3.84179389852178e-16 | | 253 | 1 | 1.65292433821235e-15 | 8.26462169106174e-16 | | 254 | 0.999999999999998 | 3.5847230211092e-15 | 1.7923615105546e-15 | | 255 | 0.999999999999996 | 7.90443543362432e-15 | 3.95221771681216e-15 | | 256 | 0.999999999999992 | 1.58845289477109e-14 | 7.94226447385543e-15 | | 257 | 0.999999999999983 | 3.38111845683869e-14 | 1.69055922841934e-14 | | 258 | 0.999999999999964 | 7.12363842615179e-14 | 3.56181921307589e-14 | | 259 | 0.999999999999929 | 1.43135821897578e-13 | 7.1567910948789e-14 | | 260 | 0.999999999999861 | 2.77055226930601e-13 | 1.38527613465300e-13 | | 261 | 0.99999999999972 | 5.58769313482435e-13 | 2.79384656741218e-13 | | 262 | 0.999999999999497 | 1.00591160074102e-12 | 5.02955800370511e-13 | | 263 | 0.999999999999005 | 1.99030052519111e-12 | 9.95150262595556e-13 | | 264 | 0.999999999997929 | 4.14284823451621e-12 | 2.07142411725811e-12 | | 265 | 0.999999999995579 | 8.84227597326776e-12 | 4.42113798663388e-12 | | 266 | 0.99999999999336 | 1.32810826951140e-11 | 6.64054134755701e-12 | | 267 | 0.999999999999876 | 2.47486923239015e-13 | 1.23743461619508e-13 | | 268 | 0.999999999999742 | 5.16262984936018e-13 | 2.58131492468009e-13 | | 269 | 0.999999999999448 | 1.10441201245723e-12 | 5.52206006228615e-13 | | 270 | 0.999999999998832 | 2.33609483323242e-12 | 1.16804741661621e-12 | | 271 | 0.999999999997564 | 4.87177071272421e-12 | 2.43588535636210e-12 | | 272 | 0.999999999994787 | 1.04261312211441e-11 | 5.21306561057207e-12 | | 273 | 0.999999999987873 | 2.42546261733232e-11 | 1.21273130866616e-11 | | 274 | 0.9999999999808 | 3.83996589836929e-11 | 1.91998294918464e-11 | | 275 | 0.99999999995667 | 8.66614454196166e-11 | 4.33307227098083e-11 | | 276 | 0.999999999903675 | 1.92649326727174e-10 | 9.63246633635872e-11 | | 277 | 0.999999999793714 | 4.12571946602828e-10 | 2.06285973301414e-10 | | 278 | 0.999999999571895 | 8.56210032101094e-10 | 4.28105016050547e-10 | | 279 | 0.999999999144305 | 1.71139065057904e-09 | 8.5569532528952e-10 | | 280 | 0.999999998599207 | 2.80158630298594e-09 | 1.40079315149297e-09 | | 281 | 0.99999999808546 | 3.82908233996975e-09 | 1.91454116998487e-09 | | 282 | 0.999999997653498 | 4.69300463401848e-09 | 2.34650231700924e-09 | | 283 | 0.999999997306011 | 5.38797776658152e-09 | 2.69398888329076e-09 | | 284 | 0.999999997107663 | 5.78467454754136e-09 | 2.89233727377068e-09 | | 285 | 0.999999997295747 | 5.40850659007342e-09 | 2.70425329503671e-09 | | 286 | 0.999999995479594 | 9.04081242680053e-09 | 4.52040621340027e-09 | | 287 | 0.999999991426334 | 1.71473312641353e-08 | 8.57366563206767e-09 | | 288 | 0.99999998252407 | 3.49518599594873e-08 | 1.74759299797436e-08 | | 289 | 0.999999966485363 | 6.70292735931329e-08 | 3.35146367965665e-08 | | 290 | 0.999999987036177 | 2.59276464714262e-08 | 1.29638232357131e-08 | | 291 | 0.999999973744473 | 5.25110548069329e-08 | 2.62555274034665e-08 | | 292 | 0.999999943684907 | 1.12630186935557e-07 | 5.63150934677784e-08 | | 293 | 0.999999876037995 | 2.47924010717954e-07 | 1.23962005358977e-07 | | 294 | 0.999999725883407 | 5.48233185445528e-07 | 2.74116592722764e-07 | | 295 | 0.999999408082147 | 1.18383570605857e-06 | 5.91917853029284e-07 | | 296 | 0.999998954225275 | 2.09154944920624e-06 | 1.04577472460312e-06 | | 297 | 0.999998116479742 | 3.76704051679349e-06 | 1.88352025839674e-06 | | 298 | 0.999996778869197 | 6.4422616057082e-06 | 3.2211308028541e-06 | | 299 | 0.999994768479139 | 1.04630417217798e-05 | 5.23152086088989e-06 | | 300 | 0.999991796860936 | 1.64062781279658e-05 | 8.20313906398288e-06 | | 301 | 0.999987157273028 | 2.5685453944563e-05 | 1.28427269722815e-05 | | 302 | 0.999978610123006 | 4.27797539870382e-05 | 2.13898769935191e-05 | | 303 | 0.999971941908254 | 5.61161834909839e-05 | 2.80580917454919e-05 | | 304 | 0.999970369669884 | 5.92606602328317e-05 | 2.96303301164158e-05 | | 305 | 0.99997550549293 | 4.89890141405716e-05 | 2.44945070702858e-05 | | 306 | 0.99998488098013 | 3.02380397378067e-05 | 1.51190198689033e-05 | | 307 | 0.999993915535681 | 1.21689286377028e-05 | 6.08446431885142e-06 | | 308 | 0.999998970369787 | 2.05926042519704e-06 | 1.02963021259852e-06 | | 309 | 0.999997843822813 | 4.31235437473888e-06 | 2.15617718736944e-06 | | 310 | 0.99999498227529 | 1.00354494215834e-05 | 5.01772471079171e-06 | | 311 | 0.999987388104719 | 2.52237905629019e-05 | 1.26118952814509e-05 | | 312 | 0.99996903515805 | 6.19296839011552e-05 | 3.09648419505776e-05 | | 313 | 0.999957932824203 | 8.4134351593899e-05 | 4.20671757969495e-05 | | 314 | 0.999893601683167 | 0.000212796633665821 | 0.000106398316832910 | | 315 | 0.999738319338809 | 0.000523361322382435 | 0.000261680661191217 | | 316 | 0.999394438546368 | 0.00121112290726407 | 0.000605561453632033 | | 317 | 0.998692259547224 | 0.0026154809055529 | 0.00130774045277645 | | 318 | 0.997312621651107 | 0.00537475669778539 | 0.00268737834889269 | | 319 | 0.994508128929995 | 0.0109837421400107 | 0.00549187107000533 | | 320 | 0.988135164017387 | 0.0237296719652268 | 0.0118648359826134 | | 321 | 0.975216454552603 | 0.0495670908947938 | 0.0247835454473969 | | 322 | 0.950761056395564 | 0.0984778872088712 | 0.0492389436044356 | | 323 | 0.906632837115516 | 0.186734325768967 | 0.0933671628844836 | | 324 | 0.831656851027833 | 0.336686297944335 | 0.168343148972167 | | 325 | 0.714627989168675 | 0.570744021662649 | 0.285372010831325 | | 326 | 0.554188298169594 | 0.891623403660812 | 0.445811701830406 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | | Description | # significant tests | % significant tests | OK/NOK | | 1% type I error level | 247 | 0.771875 | NOK | | 5% type I error level | 274 | 0.85625 | NOK | | 10% type I error level | 280 | 0.875 | NOK |
| | | Charts produced by software: |  | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/10alx81203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/10alx81203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/1x2451203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/1x2451203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/2tne81203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/2tne81203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/3nnny1203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/3nnny1203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/436mh1203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/436mh1203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/5yfbl1203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/5yfbl1203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/6clks1203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/6clks1203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/7uv461203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/7uv461203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/81i4j1203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/81i4j1203129024.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/9lh8q1203129024.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Feb/16/t12031291166k6mlw0pdt2b6mv/9lh8q1203129024.ps (open in new window) |
| | | | Parameters (Session): | | par1 = 4 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ; | | | | Parameters (R input): | | par1 = 4 ; 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')
}
| | |
Copyright
This work is licensed under a
Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
Software written by Ed van Stee & Patrick Wessa
Disclaimer
Information provided on this web site is provided
"AS IS" without warranty of any kind, either express or implied,
including, without limitation, warranties of merchantability, fitness
for a particular purpose, and noninfringement. We use reasonable
efforts to include accurate and timely information and periodically
update the information, and software without notice. However, we make
no warranties or representations as to the accuracy or
completeness of such information (or software), and we assume no
liability or responsibility for errors or omissions in the content of
this web site, or any software bugs in online applications. Your use of
this web site is AT YOUR OWN RISK. Under no circumstances and under no
legal theory shall we be liable to you or any other person
for any direct, indirect, special, incidental, exemplary, or
consequential damages arising from your access to, or use of, this web
site.
Privacy Policy
We may request personal information to be submitted to our servers in order to be able to:
- personalize online software applications according to your needs
- enforce strict security rules with respect to the data that you upload (e.g. statistical data)
- manage user sessions of online applications
- alert you about important changes or upgrades in resources or applications
We NEVER allow other companies to directly offer registered users
information about their products and services. Banner references and
hyperlinks of third parties NEVER contain any personal data of the
visitor.
We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.
We carefully protect your data from loss, misuse, alteration,
and destruction. However, at any time, and under any circumstance you
are solely responsible for managing your passwords, and keeping them
secret.
We store a unique ANONYMOUS USER ID in the form of a small
'Cookie' on your computer. This allows us to track your progress when
using this website which is necessary to create state-dependent
features. The cookie is used for NO OTHER PURPOSE. At any time you may
opt to disallow cookies from this website - this will not affect other
features of this website.
We examine cookies that are used by third-parties (banner and
online ads) very closely: abuse from third-parties automatically
results in termination of the advertising contract without refund. We
have very good reason to believe that the cookies that are produced by
third parties (banner ads) do NOT cause any privacy or security risk.
FreeStatistics.org is safe. There is no need to download any
software to use the applications and services contained in this
website. Hence, your system's security is not compromised by their use,
and your personal data - other than data you submit in the account
application form, and the user-agent information that is transmitted by
your browser - is never transmitted to our servers.
As a general rule, we do not log on-line behavior of
individuals (other than normal logging of webserver 'hits'). However,
in cases of abuse, hacking, unauthorized access, Denial of Service
attacks, illegal copying, hotlinking, non-compliance with international
webstandards (such as robots.txt), or any other harmful behavior, our
system engineers are empowered to log, track, identify, publish, and
ban misbehaving individuals - even if this leads to ban entire blocks
of IP addresses, or disclosing user's identity.
FreeStatistics.org is powered by
|