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Multiple Linear Regression - Estimated Regression Equation | P[t] = + 79.113943825441 -0.0087300673616308t + e[t] |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.0481932311722504 | R-squared | 0.00232258753082197 | Adjusted R-squared | -0.000464220883896527 | F-TEST (value) | 0.833422031652894 | F-TEST (DF numerator) | 1 | F-TEST (DF denominator) | 358 | p-value | 0.361899249430657 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 18.8558692867702 | Sum Squared Residuals | 127284.682748395 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 87.28 | 79.105213758081 | 8.17478624191908 | 2 | 87.28 | 79.0964836907178 | 8.18351630928224 | 3 | 87.09 | 79.0877536233561 | 8.00224637664387 | 4 | 86.92 | 79.0790235559945 | 7.8409764440055 | 5 | 87.59 | 79.0702934886329 | 8.51970651136714 | 6 | 90.72 | 79.0615634212712 | 11.6584365787288 | 7 | 90.69 | 79.0528333539096 | 11.6371666460904 | 8 | 90.3 | 79.044103286548 | 11.2558967134520 | 9 | 89.55 | 79.0353732191863 | 10.5146267808137 | 10 | 88.94 | 79.0266431518247 | 9.91335684817528 | 11 | 88.41 | 79.0179130844631 | 9.39208691553691 | 12 | 87.82 | 79.0091830171014 | 8.81081698289854 | 13 | 87.07 | 79.0004529497398 | 8.06954705026017 | 14 | 86.82 | 78.9917228823782 | 7.8282771176218 | 15 | 86.4 | 78.9829928150166 | 7.41700718498345 | 16 | 86.02 | 78.974262747655 | 7.04573725234507 | 17 | 85.66 | 78.9655326802933 | 6.6944673197067 | 18 | 85.32 | 78.9568026129317 | 6.36319738706833 | 19 | 85 | 78.94807254557 | 6.05192745442996 | 20 | 84.67 | 78.9393424782084 | 5.7306575217916 | 21 | 83.94 | 78.9306124108468 | 5.00938758915322 | 22 | 82.83 | 78.9218823434851 | 3.90811765651485 | 23 | 81.95 | 78.9131522761235 | 3.03684772387649 | 24 | 81.19 | 78.9044222087619 | 2.28557779123812 | 25 | 80.48 | 78.8956921414002 | 1.58430785859975 | 26 | 78.86 | 78.8869620740386 | -0.0269620740386208 | 27 | 69.47 | 78.878232006677 | -9.4082320066770 | 28 | 68.77 | 78.8695019393154 | -10.0995019393154 | 29 | 70.06 | 78.8607718719537 | -8.80077187195373 | 30 | 73.95 | 78.8520418045921 | -4.9020418045921 | 31 | 75.8 | 78.8433117372305 | -3.04331173723047 | 32 | 77.79 | 78.8345816698688 | -1.04458166986883 | 33 | 81.57 | 78.8258516025072 | 2.74414839749279 | 34 | 83.07 | 78.8171215351456 | 4.25287846485442 | 35 | 84.34 | 78.808391467784 | 5.53160853221606 | 36 | 85.1 | 78.7996614004223 | 6.30033859957768 | 37 | 85.25 | 78.7909313330607 | 6.45906866693932 | 38 | 84.26 | 78.782201265699 | 5.47779873430095 | 39 | 83.63 | 78.7734711983374 | 4.85652880166258 | 40 | 86.44 | 78.7647411309758 | 7.67525886902421 | 41 | 85.3 | 78.7560110636142 | 6.54398893638584 | 42 | 84.1 | 78.7472809962525 | 5.35271900374747 | 43 | 83.36 | 78.7385509288909 | 4.6214490711091 | 44 | 82.48 | 78.7298208615293 | 3.75017913847074 | 45 | 81.58 | 78.7210907941676 | 2.85890920583236 | 46 | 80.47 | 78.712360726806 | 1.75763927319399 | 47 | 79.34 | 78.7036306594444 | 0.63636934055563 | 48 | 82.13 | 78.6949005920827 | 3.43509940791725 | 49 | 81.69 | 78.6861705247211 | 3.00382947527889 | 50 | 80.7 | 78.6774404573595 | 2.02255954264052 | 51 | 79.88 | 78.6687103899979 | 1.21128961000215 | 52 | 79.16 | 78.6599803226362 | 0.500019677363777 | 53 | 78.38 | 78.6512502552746 | -0.271250255274593 | 54 | 77.42 | 78.642520187913 | -1.22252018791296 | 55 | 76.47 | 78.6337901205513 | -2.16379012055133 | 56 | 75.46 | 78.6250600531897 | -3.1650600531897 | 57 | 74.48 | 78.616329985828 | -4.13632998582806 | 58 | 78.27 | 78.6075999184664 | -0.337599918466439 | 59 | 80.7 | 78.5988698511048 | 2.1011301488952 | 60 | 79.91 | 78.5901397837432 | 1.31986021625682 | 61 | 78.75 | 78.5814097163815 | 0.168590283618458 | 62 | 77.78 | 78.5726796490199 | -0.79267964901991 | 63 | 81.14 | 78.5639495816583 | 2.57605041834172 | 64 | 81.08 | 78.5552195142967 | 2.52478048570335 | 65 | 80.03 | 78.546489446935 | 1.48351055306498 | 66 | 78.91 | 78.5377593795734 | 0.372240620426608 | 67 | 78.01 | 78.5290293122118 | -0.519029312211752 | 68 | 76.9 | 78.5202992448501 | -1.62029924485012 | 69 | 75.97 | 78.5115691774885 | -2.5415691774885 | 70 | 81.93 | 78.5028391101269 | 3.42716088987314 | 71 | 80.27 | 78.4941090427652 | 1.77589095723476 | 72 | 78.67 | 78.4853789754036 | 0.184621024596398 | 73 | 77.42 | 78.476648908042 | -1.05664890804197 | 74 | 76.16 | 78.4679188406803 | -2.30791884068035 | 75 | 74.7 | 78.4591887733187 | -3.75918877331871 | 76 | 76.39 | 78.450458705957 | -2.06045870595708 | 77 | 76.04 | 78.4417286385954 | -2.40172863859544 | 78 | 74.65 | 78.4329985712338 | -3.78299857123381 | 79 | 73.29 | 78.4242685038722 | -5.13426850387218 | 80 | 71.79 | 78.4155384365106 | -6.62553843651055 | 81 | 74.39 | 78.406808369149 | -4.01680836914893 | 82 | 74.91 | 78.3980783017873 | -3.4880783017873 | 83 | 74.54 | 78.3893482344257 | -3.84934823442566 | 84 | 73.08 | 78.380618167064 | -5.30061816706404 | 85 | 72.75 | 78.3718880997024 | -5.6218880997024 | 86 | 71.32 | 78.3631580323408 | -7.04315803234078 | 87 | 70.38 | 78.3544279649791 | -7.97442796497915 | 88 | 70.35 | 78.3456978976175 | -7.99569789761752 | 89 | 70.01 | 78.3369678302559 | -8.32696783025587 | 90 | 69.36 | 78.3282377628942 | -8.96823776289425 | 91 | 67.77 | 78.3195076955326 | -10.5495076955326 | 92 | 69.26 | 78.310777628171 | -9.05077762817098 | 93 | 69.8 | 78.3020475608094 | -8.50204756080936 | 94 | 68.38 | 78.2933174934477 | -9.91331749344773 | 95 | 67.62 | 78.284587426086 | -10.6645874260861 | 96 | 68.39 | 78.2758573587245 | -9.88585735872446 | 97 | 66.95 | 78.2671272913628 | -11.3171272913628 | 98 | 65.21 | 78.2583972240012 | -13.0483972240012 | 99 | 66.64 | 78.2496671566396 | -11.6096671566396 | 100 | 63.45 | 78.240937089278 | -14.7909370892779 | 101 | 60.66 | 78.2322070219163 | -17.5722070219163 | 102 | 62.34 | 78.2234769545547 | -15.8834769545547 | 103 | 60.32 | 78.214746887193 | -17.8947468871930 | 104 | 58.64 | 78.2060168198314 | -19.5660168198314 | 105 | 60.46 | 78.1972867524698 | -17.7372867524698 | 106 | 58.59 | 78.1885566851082 | -19.5985566851082 | 107 | 61.87 | 78.1798266177465 | -16.3098266177465 | 108 | 61.85 | 78.1710965503849 | -16.3210965503849 | 109 | 67.44 | 78.1623664830233 | -10.7223664830233 | 110 | 77.06 | 78.1536364156616 | -1.09363641566163 | 111 | 91.74 | 78.1449063483 | 13.5950936517 | 112 | 93.15 | 78.1361762809384 | 15.0138237190616 | 113 | 94.15 | 78.1274462135767 | 16.0225537864233 | 114 | 93.11 | 78.1187161462151 | 14.9912838537849 | 115 | 91.51 | 78.1099860788535 | 13.4000139211465 | 116 | 89.96 | 78.1012560114918 | 11.8587439885081 | 117 | 88.16 | 78.0925259441302 | 10.0674740558698 | 118 | 86.98 | 78.0837958767686 | 8.89620412323142 | 119 | 88.03 | 78.075065809407 | 9.95493419059305 | 120 | 86.24 | 78.0663357420453 | 8.17366425795467 | 121 | 84.65 | 78.0576056746837 | 6.59239432531631 | 122 | 83.23 | 78.048875607322 | 5.18112439267794 | 123 | 81.7 | 78.0401455399604 | 3.65985446003957 | 124 | 80.25 | 78.0314154725988 | 2.2185845274012 | 125 | 78.8 | 78.0226854052372 | 0.777314594762826 | 126 | 77.51 | 78.0139553378755 | -0.503955337875535 | 127 | 76.2 | 78.0052252705139 | -1.80522527051391 | 128 | 75.04 | 77.9964952031523 | -2.95649520315227 | 129 | 74 | 77.9877651357907 | -3.98776513579065 | 130 | 75.49 | 77.979035068429 | -2.48903506842902 | 131 | 77.14 | 77.9703050010674 | -0.830305001067386 | 132 | 76.15 | 77.9615749337058 | -1.81157493370575 | 133 | 76.27 | 77.9528448663441 | -1.68284486634413 | 134 | 78.19 | 77.9441147989825 | 0.245885201017504 | 135 | 76.49 | 77.9353847316209 | -1.44538473162087 | 136 | 77.31 | 77.9266546642592 | -0.61665466425923 | 137 | 76.65 | 77.9179245968976 | -1.26792459689760 | 138 | 74.99 | 77.909194529536 | -2.91919452953598 | 139 | 73.51 | 77.9004644621743 | -4.39046446217433 | 140 | 72.07 | 77.8917343948127 | -5.82173439481272 | 141 | 70.59 | 77.8830043274511 | -7.29300432745107 | 142 | 71.96 | 77.8742742600895 | -5.91427426008945 | 143 | 76.29 | 77.8655441927278 | -1.57554419272781 | 144 | 74.86 | 77.8568141253662 | -2.99681412536619 | 145 | 74.93 | 77.8480840580046 | -2.91808405800455 | 146 | 71.9 | 77.8393539906429 | -5.93935399064292 | 147 | 71.01 | 77.8306239232813 | -6.82062392328129 | 148 | 77.47 | 77.8218938559197 | -0.351893855919664 | 149 | 75.78 | 77.813163788558 | -2.03316378855803 | 150 | 76.6 | 77.8044337211964 | -1.20443372119641 | 151 | 76.07 | 77.7957036538348 | -1.72570365383478 | 152 | 74.57 | 77.7869735864731 | -3.21697358647315 | 153 | 73.02 | 77.7782435191115 | -4.75824351911151 | 154 | 72.65 | 77.7695134517499 | -5.11951345174987 | 155 | 73.16 | 77.7607833843882 | -4.60078338438825 | 156 | 71.53 | 77.7520533170266 | -6.22205331702661 | 157 | 69.78 | 77.743323249665 | -7.96332324966498 | 158 | 67.98 | 77.7345931823034 | -9.75459318230335 | 159 | 69.96 | 77.7258631149417 | -7.76586311494173 | 160 | 72.16 | 77.7171330475801 | -5.5571330475801 | 161 | 70.47 | 77.7084029802185 | -7.23840298021846 | 162 | 68.86 | 77.6996729128568 | -8.83967291285683 | 163 | 67.37 | 77.6909428454952 | -10.3209428454952 | 164 | 65.87 | 77.6822127781336 | -11.8122127781336 | 165 | 72.16 | 77.673482710772 | -5.51348271077194 | 166 | 71.34 | 77.6647526434103 | -6.3247526434103 | 167 | 69.93 | 77.6560225760487 | -7.72602257604867 | 168 | 68.44 | 77.647292508687 | -9.20729250868705 | 169 | 67.16 | 77.6385624413254 | -10.4785624413254 | 170 | 66.01 | 77.6298323739638 | -11.6198323739638 | 171 | 67.25 | 77.6211023066022 | -10.3711023066022 | 172 | 70.91 | 77.6123722392405 | -6.70237223924053 | 173 | 69.75 | 77.6036421718789 | -7.8536421718789 | 174 | 68.59 | 77.5949121045173 | -9.00491210451726 | 175 | 67.48 | 77.5861820371556 | -10.1061820371556 | 176 | 66.31 | 77.577451969794 | -11.267451969794 | 177 | 64.81 | 77.5687219024324 | -12.7587219024324 | 178 | 66.58 | 77.5599918350707 | -10.9799918350707 | 179 | 65.97 | 77.5512617677091 | -11.5812617677091 | 180 | 64.7 | 77.5425317003475 | -12.8425317003475 | 181 | 64.7 | 77.5338016329858 | -12.8338016329858 | 182 | 60.94 | 77.5250715656242 | -16.5850715656242 | 183 | 59.08 | 77.5163414982626 | -18.4363414982626 | 184 | 58.42 | 77.507611430901 | -19.0876114309010 | 185 | 57.77 | 77.4988813635393 | -19.7288813635393 | 186 | 57.11 | 77.4901512961777 | -20.3801512961777 | 187 | 53.31 | 77.481421228816 | -24.1714212288161 | 188 | 49.96 | 77.4726911614544 | -27.5126911614544 | 189 | 49.4 | 77.4639610940928 | -28.0639610940928 | 190 | 48.84 | 77.4552310267312 | -28.6152310267312 | 191 | 48.3 | 77.4465009593695 | -29.1465009593695 | 192 | 47.74 | 77.4377708920079 | -29.6977708920079 | 193 | 47.24 | 77.4290408246463 | -30.1890408246463 | 194 | 46.76 | 77.4203107572847 | -30.6603107572846 | 195 | 46.29 | 77.411580689923 | -31.121580689923 | 196 | 48.9 | 77.4028506225614 | -28.5028506225614 | 197 | 49.23 | 77.3941205551997 | -28.1641205551998 | 198 | 48.53 | 77.3853904878381 | -28.8553904878381 | 199 | 48.03 | 77.3766604204765 | -29.3466604204765 | 200 | 54.34 | 77.3679303531149 | -23.0279303531149 | 201 | 53.79 | 77.3592002857532 | -23.5692002857532 | 202 | 53.24 | 77.3504702183916 | -24.1104702183916 | 203 | 52.96 | 77.34174015103 | -24.3817401510300 | 204 | 52.17 | 77.3330100836683 | -25.1630100836683 | 205 | 51.7 | 77.3242800163067 | -25.6242800163067 | 206 | 58.55 | 77.315549948945 | -18.7655499489451 | 207 | 78.2 | 77.3068198815835 | 0.893180118416557 | 208 | 77.03 | 77.2980898142218 | -0.268089814221814 | 209 | 76.19 | 77.2893597468602 | -1.09935974686019 | 210 | 77.15 | 77.2806296794986 | -0.130629679498547 | 211 | 75.87 | 77.2718996121369 | -1.40189961213692 | 212 | 95.47 | 77.2631695447753 | 18.2068304552247 | 213 | 109.67 | 77.2544394774137 | 32.4155605225863 | 214 | 112.28 | 77.245709410052 | 35.034290589948 | 215 | 112.01 | 77.2369793426904 | 34.7730206573096 | 216 | 107.93 | 77.2282492753288 | 30.7017507246712 | 217 | 105.96 | 77.2195192079671 | 28.7404807920329 | 218 | 105.06 | 77.2107891406055 | 27.8492108593945 | 219 | 102.98 | 77.2020590732439 | 25.7779409267561 | 220 | 102.2 | 77.1933290058822 | 25.0066709941178 | 221 | 105.23 | 77.1845989385206 | 28.0454010614794 | 222 | 101.85 | 77.175868871159 | 24.674131128841 | 223 | 99.89 | 77.1671388037974 | 22.7228611962026 | 224 | 96.23 | 77.1584087364357 | 19.0715912635643 | 225 | 94.76 | 77.1496786690741 | 17.6103213309259 | 226 | 91.51 | 77.1409486017125 | 14.3690513982875 | 227 | 91.63 | 77.1322185343508 | 14.4977814656492 | 228 | 91.54 | 77.1234884669892 | 14.4165115330108 | 229 | 85.23 | 77.1147583996276 | 8.11524160037244 | 230 | 87.83 | 77.1060283322659 | 10.7239716677341 | 231 | 87.38 | 77.0972982649043 | 10.2827017350957 | 232 | 84.44 | 77.0885681975427 | 7.35143180245732 | 233 | 85.19 | 77.079838130181 | 8.11016186981895 | 234 | 84.03 | 77.0711080628194 | 6.95889193718059 | 235 | 86.73 | 77.0623779954578 | 9.66762200454222 | 236 | 102.52 | 77.0536479280962 | 25.4663520719038 | 237 | 104.45 | 77.0449178607345 | 27.4050821392655 | 238 | 106.98 | 77.0361877933729 | 29.9438122066271 | 239 | 107.02 | 77.0274577260113 | 29.9925422739887 | 240 | 99.26 | 77.0187276586496 | 22.2412723413504 | 241 | 94.45 | 77.009997591288 | 17.440002408712 | 242 | 113.44 | 77.0012675239264 | 36.4387324760736 | 243 | 157.33 | 76.9925374565647 | 80.3374625434353 | 244 | 147.38 | 76.9838073892031 | 70.3961926107969 | 245 | 171.89 | 76.9750773218415 | 94.9149226781585 | 246 | 171.95 | 76.9663472544799 | 94.9836527455201 | 247 | 132.71 | 76.9576171871182 | 55.7523828128818 | 248 | 126.02 | 76.9488871197566 | 49.0711128802434 | 249 | 121.18 | 76.940157052395 | 44.2398429476051 | 250 | 115.45 | 76.9314269850333 | 38.5185730149667 | 251 | 110.48 | 76.9226969176717 | 33.5573030823283 | 252 | 117.85 | 76.9139668503101 | 40.9360331496899 | 253 | 117.63 | 76.9052367829484 | 40.7247632170516 | 254 | 124.65 | 76.8965067155868 | 47.7534932844132 | 255 | 109.59 | 76.8877766482252 | 32.7022233517748 | 256 | 111.27 | 76.8790465808635 | 34.3909534191365 | 257 | 99.78 | 76.8703165135019 | 22.9096834864981 | 258 | 98.21 | 76.8615864461403 | 21.3484135538597 | 259 | 99.2 | 76.8528563787786 | 22.3471436212214 | 260 | 97.97 | 76.844126311417 | 21.125873688583 | 261 | 89.55 | 76.8353962440554 | 12.7146037559446 | 262 | 87.91 | 76.8266661766937 | 11.0833338233062 | 263 | 93.34 | 76.8179361093321 | 16.5220638906679 | 264 | 94.42 | 76.8092060419705 | 17.6107939580295 | 265 | 93.2 | 76.8004759746089 | 16.3995240253911 | 266 | 90.29 | 76.7917459072472 | 13.4982540927528 | 267 | 91.46 | 76.7830158398856 | 14.6769841601144 | 268 | 89.98 | 76.774285772524 | 13.2057142274760 | 269 | 88.35 | 76.7655557051623 | 11.5844442948377 | 270 | 88.41 | 76.7568256378007 | 11.6531743621993 | 271 | 82.44 | 76.7480955704391 | 5.69190442956092 | 272 | 79.89 | 76.7393655030774 | 3.15063449692256 | 273 | 75.69 | 76.7306354357158 | -1.04063543571581 | 274 | 75.66 | 76.7219053683542 | -1.06190536835419 | 275 | 84.5 | 76.7131753009925 | 7.78682469900745 | 276 | 96.73 | 76.7044452336309 | 20.0255547663691 | 277 | 87.48 | 76.6957151662693 | 10.7842848337307 | 278 | 82.39 | 76.6869850989077 | 5.70301490109234 | 279 | 83.48 | 76.678255031546 | 6.80174496845398 | 280 | 79.31 | 76.6695249641844 | 2.64047503581561 | 281 | 78.16 | 76.6607948968228 | 1.49920510317723 | 282 | 72.77 | 76.6520648294611 | -3.88206482946114 | 283 | 72.45 | 76.6433347620995 | -4.1933347620995 | 284 | 68.46 | 76.6346046947379 | -8.17460469473788 | 285 | 67.62 | 76.6258746273762 | -9.00587462737624 | 286 | 68.76 | 76.6171445600146 | -7.8571445600146 | 287 | 70.07 | 76.608414492653 | -6.53841449265299 | 288 | 68.55 | 76.5996844252913 | -8.04968442529135 | 289 | 65.3 | 76.5909543579297 | -11.2909543579297 | 290 | 58.96 | 76.5822242905681 | -17.6222242905681 | 291 | 59.17 | 76.5734942232065 | -17.4034942232065 | 292 | 62.37 | 76.5647641558448 | -14.1947641558448 | 293 | 66.28 | 76.5560340884832 | -10.2760340884832 | 294 | 55.62 | 76.5473040211216 | -20.9273040211216 | 295 | 55.23 | 76.53857395376 | -21.3085739537599 | 296 | 55.85 | 76.5298438863983 | -20.6798438863983 | 297 | 56.75 | 76.5211138190367 | -19.7711138190367 | 298 | 50.89 | 76.512383751675 | -25.6223837516750 | 299 | 53.88 | 76.5036536843134 | -22.6236536843134 | 300 | 52.95 | 76.4949236169518 | -23.5449236169518 | 301 | 55.08 | 76.4861935495902 | -21.4061935495901 | 302 | 53.61 | 76.4774634822285 | -22.8674634822285 | 303 | 58.78 | 76.4687334148669 | -17.6887334148669 | 304 | 61.85 | 76.4600033475052 | -14.6100033475053 | 305 | 55.91 | 76.4512732801436 | -20.5412732801436 | 306 | 53.32 | 76.442543212782 | -23.122543212782 | 307 | 46.41 | 76.4338131454204 | -30.0238131454204 | 308 | 44.57 | 76.4250830780587 | -31.8550830780587 | 309 | 50 | 76.4163530106971 | -26.4163530106971 | 310 | 50 | 76.4076229433355 | -26.4076229433355 | 311 | 53.36 | 76.3988928759738 | -23.0388928759738 | 312 | 46.23 | 76.3901628086122 | -30.1601628086122 | 313 | 50.45 | 76.3814327412506 | -25.9314327412506 | 314 | 49.07 | 76.372702673889 | -27.3027026738890 | 315 | 45.85 | 76.3639726065273 | -30.5139726065273 | 316 | 48.45 | 76.3552425391657 | -27.9052425391657 | 317 | 49.96 | 76.346512471804 | -26.3865124718041 | 318 | 46.53 | 76.3377824044424 | -29.8077824044424 | 319 | 50.51 | 76.3290523370808 | -25.8190523370808 | 320 | 47.58 | 76.3203222697192 | -28.7403222697192 | 321 | 48.05 | 76.3115922023575 | -28.2615922023575 | 322 | 46.84 | 76.3028621349959 | -29.4628621349959 | 323 | 47.67 | 76.2941320676343 | -28.6241320676343 | 324 | 49.16 | 76.2854020002726 | -27.1254020002726 | 325 | 55.54 | 76.276671932911 | -20.736671932911 | 326 | 55.82 | 76.2679418655494 | -20.4479418655494 | 327 | 58.22 | 76.2592117981877 | -18.0392117981878 | 328 | 56.19 | 76.2504817308261 | -20.0604817308261 | 329 | 57.77 | 76.2417516634645 | -18.4717516634645 | 330 | 63.19 | 76.2330215961029 | -13.0430215961029 | 331 | 54.76 | 76.2242915287412 | -21.4642915287412 | 332 | 55.74 | 76.2155614613796 | -20.4755614613796 | 333 | 62.54 | 76.206831394018 | -13.6668313940180 | 334 | 61.39 | 76.1981013266563 | -14.8081013266563 | 335 | 69.6 | 76.1893712592947 | -6.58937125929471 | 336 | 79.23 | 76.1806411919331 | 3.04935880806693 | 337 | 80 | 76.1719111245714 | 3.82808887542856 | 338 | 93.68 | 76.1631810572098 | 17.5168189427902 | 339 | 107.63 | 76.1544509898482 | 31.4755490101518 | 340 | 100.18 | 76.1457209224865 | 24.0342790775135 | 341 | 97.3 | 76.1369908551249 | 21.1630091448751 | 342 | 90.45 | 76.1282607877633 | 14.3217392122367 | 343 | 80.64 | 76.1195307204017 | 4.52046927959834 | 344 | 80.58 | 76.11080065304 | 4.46919934695997 | 345 | 75.82 | 76.1020705856784 | -0.282070585678402 | 346 | 85.59 | 76.0933405183168 | 9.49665948168324 | 347 | 89.35 | 76.0846104509551 | 13.2653895490449 | 348 | 89.42 | 76.0758803835935 | 13.3441196164065 | 349 | 104.73 | 76.0671503162319 | 28.6628496837681 | 350 | 95.32 | 76.0584202488702 | 19.2615797511298 | 351 | 89.27 | 76.0496901815086 | 13.2203098184914 | 352 | 90.44 | 76.040960114147 | 14.3990398858530 | 353 | 86.97 | 76.0322300467853 | 10.9377699532146 | 354 | 79.98 | 76.0234999794237 | 3.95650002057629 | 355 | 81.22 | 76.0147699120621 | 5.20523008793791 | 356 | 87.35 | 76.0060398447005 | 11.3439601552995 | 357 | 83.64 | 75.9973097773388 | 7.64269022266117 | 358 | 82.22 | 75.9885797099772 | 6.2314202900228 | 359 | 94.4 | 75.9798496426156 | 18.4201503573844 | 360 | 102.18 | 75.971119575254 | 26.2088804247461 |
Goldfeld-Quandt test for Heteroskedasticity | p-values | Alternative Hypothesis | breakpoint index | greater | 2-sided | less | 5 | 4.69623037680352e-06 | 9.39246075360704e-06 | 0.999995303769623 | 6 | 3.22057119168889e-05 | 6.44114238337778e-05 | 0.999967794288083 | 7 | 2.24438739492931e-06 | 4.48877478985862e-06 | 0.999997755612605 | 8 | 1.23546751602073e-07 | 2.47093503204146e-07 | 0.999999876453248 | 9 | 1.29892905119990e-08 | 2.59785810239980e-08 | 0.99999998701071 | 10 | 2.22676767036905e-09 | 4.4535353407381e-09 | 0.999999997773232 | 11 | 4.37200924857126e-10 | 8.74401849714251e-10 | 0.9999999995628 | 12 | 9.2863458154443e-11 | 1.85726916308886e-10 | 0.999999999907137 | 13 | 2.27724676115078e-11 | 4.55449352230156e-11 | 0.999999999977228 | 14 | 3.94154566370037e-12 | 7.88309132740074e-12 | 0.999999999996058 | 15 | 6.23810097717734e-13 | 1.24762019543547e-12 | 0.999999999999376 | 16 | 8.98189997330847e-14 | 1.79637999466169e-13 | 0.99999999999991 | 17 | 1.18802860793401e-14 | 2.37605721586802e-14 | 0.999999999999988 | 18 | 1.45273212405202e-15 | 2.90546424810404e-15 | 0.999999999999999 | 19 | 1.64961038444720e-16 | 3.29922076889441e-16 | 1 | 20 | 1.77045054540815e-17 | 3.5409010908163e-17 | 1 | 21 | 2.23296681969833e-18 | 4.46593363939667e-18 | 1 | 22 | 4.32005143571568e-19 | 8.64010287143136e-19 | 1 | 23 | 1.02175798787992e-19 | 2.04351597575985e-19 | 1 | 24 | 2.53723420316534e-20 | 5.07446840633068e-20 | 1 | 25 | 6.2205702445584e-21 | 1.24411404891168e-20 | 1 | 26 | 3.26466918487583e-21 | 6.52933836975166e-21 | 1 | 27 | 4.77734052698965e-17 | 9.5546810539793e-17 | 1 | 28 | 1.03736541710867e-15 | 2.07473083421733e-15 | 0.999999999999999 | 29 | 1.21913049614340e-15 | 2.43826099228681e-15 | 0.999999999999999 | 30 | 2.49813736193042e-16 | 4.99627472386084e-16 | 1 | 31 | 4.47746106732221e-17 | 8.95492213464442e-17 | 1 | 32 | 1.10785263499776e-17 | 2.21570526999552e-17 | 1 | 33 | 1.09805012020899e-17 | 2.19610024041799e-17 | 1 | 34 | 1.72082609647208e-17 | 3.44165219294416e-17 | 1 | 35 | 3.35144959390588e-17 | 6.70289918781176e-17 | 1 | 36 | 5.91774465618522e-17 | 1.18354893123704e-16 | 1 | 37 | 7.52917904191667e-17 | 1.50583580838333e-16 | 1 | 38 | 5.22271832239817e-17 | 1.04454366447963e-16 | 1 | 39 | 2.65630375455165e-17 | 5.3126075091033e-17 | 1 | 40 | 2.81563008577917e-17 | 5.63126017155834e-17 | 1 | 41 | 1.70749058304831e-17 | 3.41498116609662e-17 | 1 | 42 | 7.04367274032721e-18 | 1.40873454806544e-17 | 1 | 43 | 2.40924518171769e-18 | 4.81849036343538e-18 | 1 | 44 | 7.02936076681171e-19 | 1.40587215336234e-18 | 1 | 45 | 1.82789075471884e-19 | 3.65578150943768e-19 | 1 | 46 | 4.34986356489959e-20 | 8.69972712979919e-20 | 1 | 47 | 9.926087379537e-21 | 1.9852174759074e-20 | 1 | 48 | 2.75987816121595e-21 | 5.51975632243191e-21 | 1 | 49 | 7.17287513209586e-22 | 1.43457502641917e-21 | 1 | 50 | 1.6849105666746e-22 | 3.3698211333492e-22 | 1 | 51 | 3.75757163537696e-23 | 7.51514327075393e-23 | 1 | 52 | 8.16435726357662e-24 | 1.63287145271532e-23 | 1 | 53 | 1.75810103514218e-24 | 3.51620207028437e-24 | 1 | 54 | 3.85150218515854e-25 | 7.70300437031707e-25 | 1 | 55 | 8.79213405114313e-26 | 1.75842681022863e-25 | 1 | 56 | 2.15041549364395e-26 | 4.30083098728789e-26 | 1 | 57 | 5.72063166005899e-27 | 1.14412633201180e-26 | 1 | 58 | 1.20354378807067e-27 | 2.40708757614135e-27 | 1 | 59 | 3.38370544787085e-28 | 6.7674108957417e-28 | 1 | 60 | 8.27991456110653e-29 | 1.65598291222131e-28 | 1 | 61 | 1.77126737801810e-29 | 3.54253475603621e-29 | 1 | 62 | 3.56585038853745e-30 | 7.1317007770749e-30 | 1 | 63 | 1.11902843872915e-30 | 2.23805687745829e-30 | 1 | 64 | 3.39525015934702e-31 | 6.79050031869403e-31 | 1 | 65 | 8.33603991061721e-32 | 1.66720798212344e-31 | 1 | 66 | 1.76689975898227e-32 | 3.53379951796454e-32 | 1 | 67 | 3.49670964869854e-33 | 6.99341929739708e-33 | 1 | 68 | 6.71776164843399e-34 | 1.34355232968680e-33 | 1 | 69 | 1.30930356601557e-34 | 2.61860713203115e-34 | 1 | 70 | 5.52171897861798e-35 | 1.10434379572360e-34 | 1 | 71 | 1.47697035616441e-35 | 2.95394071232883e-35 | 1 | 72 | 3.06362458531706e-36 | 6.12724917063413e-36 | 1 | 73 | 5.79589579445972e-37 | 1.15917915889194e-36 | 1 | 74 | 1.08615245807065e-37 | 2.1723049161413e-37 | 1 | 75 | 2.22091332508301e-38 | 4.44182665016603e-38 | 1 | 76 | 4.0581788259278e-39 | 8.1163576518556e-39 | 1 | 77 | 7.35557981867923e-40 | 1.47111596373585e-39 | 1 | 78 | 1.40434201393276e-40 | 2.80868402786553e-40 | 1 | 79 | 3.07903797914636e-41 | 6.15807595829271e-41 | 1 | 80 | 8.6430914956176e-42 | 1.72861829912352e-41 | 1 | 81 | 1.56368491529877e-42 | 3.12736983059754e-42 | 1 | 82 | 2.74548237300728e-43 | 5.49096474601456e-43 | 1 | 83 | 4.79814021996592e-44 | 9.59628043993184e-44 | 1 | 84 | 9.07702241301868e-45 | 1.81540448260374e-44 | 1 | 85 | 1.72828421415457e-45 | 3.45656842830915e-45 | 1 | 86 | 3.9752944223816e-46 | 7.9505888447632e-46 | 1 | 87 | 1.05796407496319e-46 | 2.11592814992638e-46 | 1 | 88 | 2.62625461257432e-47 | 5.25250922514864e-47 | 1 | 89 | 6.56522207406799e-48 | 1.31304441481360e-47 | 1 | 90 | 1.78362605769308e-48 | 3.56725211538615e-48 | 1 | 91 | 7.08673945771433e-49 | 1.41734789154287e-48 | 1 | 92 | 1.67113732014287e-49 | 3.34227464028573e-49 | 1 | 93 | 3.36628508362303e-50 | 6.73257016724606e-50 | 1 | 94 | 8.5144242303958e-51 | 1.70288484607916e-50 | 1 | 95 | 2.41428084521101e-51 | 4.82856169042202e-51 | 1 | 96 | 5.2995095908555e-52 | 1.0599019181711e-51 | 1 | 97 | 1.52593703273836e-52 | 3.05187406547673e-52 | 1 | 98 | 6.93689060384628e-53 | 1.38737812076926e-52 | 1 | 99 | 1.79810020714199e-53 | 3.59620041428399e-53 | 1 | 100 | 1.24843142404796e-53 | 2.49686284809591e-53 | 1 | 101 | 2.80318515205473e-53 | 5.60637030410947e-53 | 1 | 102 | 1.98606087976610e-53 | 3.97212175953221e-53 | 1 | 103 | 2.88805114890519e-53 | 5.77610229781038e-53 | 1 | 104 | 7.48091591861777e-53 | 1.49618318372355e-52 | 1 | 105 | 5.85711618996162e-53 | 1.17142323799232e-52 | 1 | 106 | 8.4602148615769e-53 | 1.69204297231538e-52 | 1 | 107 | 2.97462897311930e-53 | 5.94925794623859e-53 | 1 | 108 | 9.63924401094829e-54 | 1.92784880218966e-53 | 1 | 109 | 2.05217044310353e-54 | 4.10434088620706e-54 | 1 | 110 | 1.59865919449443e-53 | 3.19731838898886e-53 | 1 | 111 | 1.82967888983628e-47 | 3.65935777967256e-47 | 1 | 112 | 1.02875307990555e-42 | 2.05750615981109e-42 | 1 | 113 | 6.2589700197944e-39 | 1.25179400395888e-38 | 1 | 114 | 2.70225658429885e-36 | 5.4045131685977e-36 | 1 | 115 | 1.64289989013058e-34 | 3.28579978026117e-34 | 1 | 116 | 2.67833885658420e-33 | 5.35667771316839e-33 | 1 | 117 | 1.55890953299204e-32 | 3.11781906598408e-32 | 1 | 118 | 4.98269853097087e-32 | 9.96539706194173e-32 | 1 | 119 | 1.75058152204085e-31 | 3.50116304408169e-31 | 1 | 120 | 3.28800382912343e-31 | 6.57600765824685e-31 | 1 | 121 | 3.94846776868941e-31 | 7.89693553737883e-31 | 1 | 122 | 3.41756830679043e-31 | 6.83513661358085e-31 | 1 | 123 | 2.23458784545527e-31 | 4.46917569091054e-31 | 1 | 124 | 1.17994540286182e-31 | 2.35989080572363e-31 | 1 | 125 | 5.26462825251455e-32 | 1.05292565050291e-31 | 1 | 126 | 2.08951081075406e-32 | 4.17902162150812e-32 | 1 | 127 | 7.59047261963685e-33 | 1.51809452392737e-32 | 1 | 128 | 2.60878206338262e-33 | 5.21756412676524e-33 | 1 | 129 | 8.68088071412657e-34 | 1.73617614282531e-33 | 1 | 130 | 3.01160758809699e-34 | 6.02321517619398e-34 | 1 | 131 | 1.14052404565815e-34 | 2.2810480913163e-34 | 1 | 132 | 4.03839045295325e-35 | 8.0767809059065e-35 | 1 | 133 | 1.43148116823306e-35 | 2.86296233646612e-35 | 1 | 134 | 5.77789025606754e-36 | 1.15557805121351e-35 | 1 | 135 | 2.04614098929193e-36 | 4.09228197858385e-36 | 1 | 136 | 7.59528812961654e-37 | 1.51905762592331e-36 | 1 | 137 | 2.681267728007e-37 | 5.362535456014e-37 | 1 | 138 | 8.71353215924614e-38 | 1.74270643184923e-37 | 1 | 139 | 2.73307223982526e-38 | 5.46614447965052e-38 | 1 | 140 | 8.56239128249494e-39 | 1.71247825649899e-38 | 1 | 141 | 2.769481131557e-39 | 5.538962263114e-39 | 1 | 142 | 8.58225330247629e-40 | 1.71645066049526e-39 | 1 | 143 | 2.95165929558563e-40 | 5.90331859117126e-40 | 1 | 144 | 9.39361795902283e-41 | 1.87872359180457e-40 | 1 | 145 | 2.98436182724842e-41 | 5.96872365449685e-41 | 1 | 146 | 9.06360855081646e-42 | 1.81272171016329e-41 | 1 | 147 | 2.78529151811488e-42 | 5.57058303622976e-42 | 1 | 148 | 1.04217205053345e-42 | 2.0843441010669e-42 | 1 | 149 | 3.41610631160738e-43 | 6.83221262321477e-43 | 1 | 150 | 1.17552142291776e-43 | 2.35104284583551e-43 | 1 | 151 | 3.87690315917339e-44 | 7.75380631834679e-44 | 1 | 152 | 1.18054622828248e-44 | 2.36109245656496e-44 | 1 | 153 | 3.45894542675954e-45 | 6.91789085351909e-45 | 1 | 154 | 1.00692765524039e-45 | 2.01385531048078e-45 | 1 | 155 | 2.92929993886749e-46 | 5.85859987773497e-46 | 1 | 156 | 8.51227822634117e-47 | 1.70245564526823e-46 | 1 | 157 | 2.60368774826647e-47 | 5.20737549653294e-47 | 1 | 158 | 8.865388408742e-48 | 1.7730776817484e-47 | 1 | 159 | 2.64528883624354e-48 | 5.29057767248708e-48 | 1 | 160 | 7.53059078464672e-49 | 1.50611815692934e-48 | 1 | 161 | 2.17996818997105e-49 | 4.3599363799421e-49 | 1 | 162 | 6.72362001428796e-50 | 1.34472400285759e-49 | 1 | 163 | 2.28629951680591e-50 | 4.57259903361182e-50 | 1 | 164 | 8.8953733662603e-51 | 1.77907467325206e-50 | 1 | 165 | 2.52130065797514e-51 | 5.04260131595027e-51 | 1 | 166 | 7.08135154593012e-52 | 1.41627030918602e-51 | 1 | 167 | 2.02135835929579e-52 | 4.04271671859157e-52 | 1 | 168 | 6.11145991339051e-53 | 1.22229198267810e-52 | 1 | 169 | 2.00162738128603e-53 | 4.00325476257207e-53 | 1 | 170 | 7.20338179889443e-54 | 1.44067635977889e-53 | 1 | 171 | 2.29944478574657e-54 | 4.59888957149314e-54 | 1 | 172 | 6.4376972212818e-55 | 1.28753944425636e-54 | 1 | 173 | 1.81384247160037e-55 | 3.62768494320075e-55 | 1 | 174 | 5.27897920841454e-56 | 1.05579584168291e-55 | 1 | 175 | 1.62247614345553e-56 | 3.24495228691106e-56 | 1 | 176 | 5.41300349746915e-57 | 1.08260069949383e-56 | 1 | 177 | 2.08437560539789e-57 | 4.16875121079578e-57 | 1 | 178 | 6.7148757107492e-58 | 1.34297514214984e-57 | 1 | 179 | 2.26155925811954e-58 | 4.52311851623909e-58 | 1 | 180 | 8.58412398956452e-59 | 1.71682479791290e-58 | 1 | 181 | 3.23286205795964e-59 | 6.46572411591929e-59 | 1 | 182 | 2.10287498317727e-59 | 4.20574996635454e-59 | 1 | 183 | 1.94646970422314e-59 | 3.89293940844629e-59 | 1 | 184 | 2.01393216120182e-59 | 4.02786432240364e-59 | 1 | 185 | 2.3319136803622e-59 | 4.6638273607244e-59 | 1 | 186 | 3.03959792112116e-59 | 6.07919584224231e-59 | 1 | 187 | 1.08717492111831e-58 | 2.17434984223663e-58 | 1 | 188 | 1.09247087151208e-57 | 2.18494174302416e-57 | 1 | 189 | 1.15045640929905e-56 | 2.30091281859811e-56 | 1 | 190 | 1.28020459580308e-55 | 2.56040919160616e-55 | 1 | 191 | 1.50830639892647e-54 | 3.01661279785294e-54 | 1 | 192 | 1.91395239936329e-53 | 3.82790479872658e-53 | 1 | 193 | 2.59009994207286e-52 | 5.18019988414573e-52 | 1 | 194 | 3.7608557465636e-51 | 7.5217114931272e-51 | 1 | 195 | 5.92308853713105e-50 | 1.18461770742621e-49 | 1 | 196 | 4.02278528383941e-49 | 8.04557056767882e-49 | 1 | 197 | 2.51575144740866e-48 | 5.03150289481731e-48 | 1 | 198 | 1.95266604327021e-47 | 3.90533208654041e-47 | 1 | 199 | 1.80631428731267e-46 | 3.61262857462533e-46 | 1 | 200 | 4.28334941466111e-46 | 8.56669882932221e-46 | 1 | 201 | 1.22422887918545e-45 | 2.4484577583709e-45 | 1 | 202 | 4.28729881290532e-45 | 8.57459762581065e-45 | 1 | 203 | 1.77623518660078e-44 | 3.55247037320157e-44 | 1 | 204 | 9.82678828500583e-44 | 1.96535765700117e-43 | 1 | 205 | 6.96903679121495e-43 | 1.39380735824299e-42 | 1 | 206 | 1.90030472990762e-42 | 3.80060945981524e-42 | 1 | 207 | 1.21716390639852e-41 | 2.43432781279705e-41 | 1 | 208 | 5.92951725994001e-41 | 1.18590345198800e-40 | 1 | 209 | 2.45035579714617e-40 | 4.90071159429235e-40 | 1 | 210 | 1.12215952852121e-39 | 2.24431905704241e-39 | 1 | 211 | 4.24618586541679e-39 | 8.49237173083358e-39 | 1 | 212 | 1.37450807247300e-36 | 2.74901614494601e-36 | 1 | 213 | 3.50409439118726e-32 | 7.00818878237452e-32 | 1 | 214 | 2.81210706753657e-28 | 5.62421413507315e-28 | 1 | 215 | 3.39315813383104e-25 | 6.78631626766208e-25 | 1 | 216 | 3.96848355835026e-23 | 7.93696711670052e-23 | 1 | 217 | 1.48228024431036e-21 | 2.96456048862073e-21 | 1 | 218 | 2.85447561530612e-20 | 5.70895123061223e-20 | 1 | 219 | 2.70450806312925e-19 | 5.40901612625849e-19 | 1 | 220 | 1.76101682180862e-18 | 3.52203364361724e-18 | 1 | 221 | 1.39096746766588e-17 | 2.78193493533176e-17 | 1 | 222 | 5.67534400809504e-17 | 1.13506880161901e-16 | 1 | 223 | 1.61866372841193e-16 | 3.23732745682386e-16 | 1 | 224 | 3.00602996907842e-16 | 6.01205993815683e-16 | 1 | 225 | 4.69212443875332e-16 | 9.38424887750665e-16 | 1 | 226 | 5.74153806350145e-16 | 1.14830761270029e-15 | 1 | 227 | 6.84226480559885e-16 | 1.36845296111977e-15 | 1 | 228 | 7.87057435022515e-16 | 1.57411487004503e-15 | 1 | 229 | 7.18384136019587e-16 | 1.43676827203917e-15 | 1 | 230 | 6.91296506868554e-16 | 1.38259301373711e-15 | 1 | 231 | 6.48588393768493e-16 | 1.29717678753699e-15 | 1 | 232 | 5.71639067836454e-16 | 1.14327813567291e-15 | 1 | 233 | 5.07100404151269e-16 | 1.01420080830254e-15 | 1 | 234 | 4.43405320977703e-16 | 8.86810641955406e-16 | 1 | 235 | 4.00114986958914e-16 | 8.00229973917828e-16 | 1 | 236 | 8.01284626364484e-16 | 1.60256925272897e-15 | 1 | 237 | 1.75236751140270e-15 | 3.50473502280541e-15 | 0.999999999999998 | 238 | 4.43387148293206e-15 | 8.86774296586413e-15 | 0.999999999999996 | 239 | 1.02475054495240e-14 | 2.04950108990480e-14 | 0.99999999999999 | 240 | 1.23004744091167e-14 | 2.46009488182334e-14 | 0.999999999999988 | 241 | 1.12853949611149e-14 | 2.25707899222297e-14 | 0.999999999999989 | 242 | 4.11769471759971e-14 | 8.23538943519941e-14 | 0.99999999999996 | 243 | 1.94841522497007e-10 | 3.89683044994015e-10 | 0.999999999805159 | 244 | 2.70180194485021e-08 | 5.40360388970041e-08 | 0.99999997298198 | 245 | 5.90041156924856e-05 | 0.000118008231384971 | 0.999940995884308 | 246 | 0.0112948627367436 | 0.0225897254734872 | 0.988705137263256 | 247 | 0.0318046700592171 | 0.0636093401184342 | 0.968195329940783 | 248 | 0.0607263006120721 | 0.121452601224144 | 0.939273699387928 | 249 | 0.0942959714774687 | 0.188591942954937 | 0.905704028522531 | 250 | 0.123250266723778 | 0.246500533447555 | 0.876749733276222 | 251 | 0.144329503139849 | 0.288659006279697 | 0.855670496860151 | 252 | 0.200008295569021 | 0.400016591138043 | 0.799991704430979 | 253 | 0.272236310480323 | 0.544472620960645 | 0.727763689519678 | 254 | 0.418534348999155 | 0.83706869799831 | 0.581465651000845 | 255 | 0.479400234995016 | 0.958800469990032 | 0.520599765004984 | 256 | 0.559641904664266 | 0.880716190671468 | 0.440358095335734 | 257 | 0.582234409792486 | 0.835531180415028 | 0.417765590207514 | 258 | 0.602114913364056 | 0.795770173271888 | 0.397885086635944 | 259 | 0.630909107753128 | 0.738181784493744 | 0.369090892246872 | 260 | 0.658628755698263 | 0.682742488603474 | 0.341371244301737 | 261 | 0.658010956639604 | 0.683978086720792 | 0.341989043360396 | 262 | 0.65498391573455 | 0.690032168530901 | 0.345016084265450 | 263 | 0.674049856457612 | 0.651900287084777 | 0.325950143542388 | 264 | 0.701970623040054 | 0.596058753919892 | 0.298029376959946 | 265 | 0.728934395246217 | 0.542131209507566 | 0.271065604753783 | 266 | 0.74829469515932 | 0.503410609681361 | 0.251705304840680 | 267 | 0.775784922335095 | 0.44843015532981 | 0.224215077664905 | 268 | 0.80097284657523 | 0.398054306849541 | 0.199027153424771 | 269 | 0.82337597257137 | 0.353248054857262 | 0.176624027428631 | 270 | 0.848449172525062 | 0.303101654949876 | 0.151550827474938 | 271 | 0.858844233175318 | 0.282311533649364 | 0.141155766824682 | 272 | 0.865485198795193 | 0.269029602409614 | 0.134514801204807 | 273 | 0.865931364705916 | 0.268137270588167 | 0.134068635294084 | 274 | 0.867547359074144 | 0.264905281851712 | 0.132452640925856 | 275 | 0.890695065455694 | 0.218609869088612 | 0.109304934544306 | 276 | 0.946715724416624 | 0.106568551166752 | 0.0532842755833759 | 277 | 0.968082845910173 | 0.0638343081796548 | 0.0319171540898274 | 278 | 0.979071717035011 | 0.0418565659299773 | 0.0209282829649886 | 279 | 0.988426261551429 | 0.0231474768971430 | 0.0115737384485715 | 280 | 0.993121318712272 | 0.0137573625754558 | 0.00687868128772791 | 281 | 0.996167274936534 | 0.00766545012693167 | 0.00383272506346583 | 282 | 0.997459707112556 | 0.00508058577488771 | 0.00254029288744386 | 283 | 0.998425552169808 | 0.00314889566038372 | 0.00157444783019186 | 284 | 0.998889765704188 | 0.00222046859162304 | 0.00111023429581152 | 285 | 0.999229242559283 | 0.00154151488143395 | 0.000770757440716974 | 286 | 0.999531450732397 | 0.0009370985352056 | 0.0004685492676028 | 287 | 0.99976519688934 | 0.000469606221321267 | 0.000234803110660634 | 288 | 0.999884765974597 | 0.000230468050805727 | 0.000115234025402864 | 289 | 0.999935695090322 | 0.000128609819356869 | 6.43049096784345e-05 | 290 | 0.99994948369171 | 0.000101032616579505 | 5.05163082897525e-05 | 291 | 0.999961567515964 | 7.68649680713749e-05 | 3.84324840356874e-05 | 292 | 0.999977314793215 | 4.53704135697694e-05 | 2.26852067848847e-05 | 293 | 0.999991666877455 | 1.66662450903146e-05 | 8.33312254515732e-06 | 294 | 0.999993248214023 | 1.35035719540024e-05 | 6.75178597700119e-06 | 295 | 0.999994429682571 | 1.11406348581547e-05 | 5.57031742907733e-06 | 296 | 0.999995608863846 | 8.78227230815898e-06 | 4.39113615407949e-06 | 297 | 0.999996802723757 | 6.39455248514322e-06 | 3.19727624257161e-06 | 298 | 0.99999670765699 | 6.58468602002476e-06 | 3.29234301001238e-06 | 299 | 0.999997045443211 | 5.90911357812633e-06 | 2.95455678906316e-06 | 300 | 0.999997173531668 | 5.65293666349454e-06 | 2.82646833174727e-06 | 301 | 0.999997622650754 | 4.75469849288649e-06 | 2.37734924644324e-06 | 302 | 0.999997787869449 | 4.4242611027015e-06 | 2.21213055135075e-06 | 303 | 0.99999867360474 | 2.65279051929475e-06 | 1.32639525964738e-06 | 304 | 0.999999503375057 | 9.93249886319117e-07 | 4.96624943159558e-07 | 305 | 0.99999966331887 | 6.73362259896048e-07 | 3.36681129948024e-07 | 306 | 0.999999712254594 | 5.75490811186324e-07 | 2.87745405593162e-07 | 307 | 0.999999614670236 | 7.70659528271264e-07 | 3.85329764135632e-07 | 308 | 0.999999440398575 | 1.11920285084309e-06 | 5.59601425421547e-07 | 309 | 0.99999929118529 | 1.41762942135618e-06 | 7.08814710678088e-07 | 310 | 0.999999068693664 | 1.86261267169701e-06 | 9.31306335848506e-07 | 311 | 0.99999895635623 | 2.08728753980111e-06 | 1.04364376990055e-06 | 312 | 0.99999837971972 | 3.24056055844464e-06 | 1.62028027922232e-06 | 313 | 0.999997666311558 | 4.66737688351338e-06 | 2.33368844175669e-06 | 314 | 0.999996385102735 | 7.22979452904036e-06 | 3.61489726452018e-06 | 315 | 0.999994144876967 | 1.17102460668793e-05 | 5.85512303343964e-06 | 316 | 0.999990423077473 | 1.91538450545188e-05 | 9.57692252725938e-06 | 317 | 0.99998429661157 | 3.14067768606982e-05 | 1.57033884303491e-05 | 318 | 0.99997488602387 | 5.02279522588902e-05 | 2.51139761294451e-05 | 319 | 0.999958282287652 | 8.34354246958029e-05 | 4.17177123479014e-05 | 320 | 0.999935095687695 | 0.000129808624610267 | 6.49043123051337e-05 | 321 | 0.99990183718879 | 0.000196325622421254 | 9.81628112106272e-05 | 322 | 0.99986780194893 | 0.000264396102137995 | 0.000132198051068997 | 323 | 0.999830700419803 | 0.000338599160393071 | 0.000169299580196535 | 324 | 0.999788368870357 | 0.000423262259285437 | 0.000211631129642718 | 325 | 0.999673769807519 | 0.0006524603849629 | 0.00032623019248145 | 326 | 0.999523384461239 | 0.000953231077522272 | 0.000476615538761136 | 327 | 0.999287942612893 | 0.00142411477421388 | 0.00071205738710694 | 328 | 0.999110886739526 | 0.00177822652094881 | 0.000889113260474403 | 329 | 0.998927536098243 | 0.00214492780351327 | 0.00107246390175664 | 330 | 0.998473993839864 | 0.00305201232027116 | 0.00152600616013558 | 331 | 0.998986204204834 | 0.00202759159033271 | 0.00101379579516635 | 332 | 0.999537729933978 | 0.000924540132044782 | 0.000462270066022391 | 333 | 0.999715147086557 | 0.000569705826885758 | 0.000284852913442879 | 334 | 0.99992793950258 | 0.000144120994839232 | 7.20604974196159e-05 | 335 | 0.999967946133885 | 6.41077322296736e-05 | 3.20538661148368e-05 | 336 | 0.999961912640159 | 7.61747196828111e-05 | 3.80873598414055e-05 | 337 | 0.999960632695153 | 7.87346096932333e-05 | 3.93673048466166e-05 | 338 | 0.99991342272557 | 0.000173154548858324 | 8.65772744291618e-05 | 339 | 0.999963013300538 | 7.3973398923257e-05 | 3.69866994616285e-05 | 340 | 0.999966663979887 | 6.66720402251348e-05 | 3.33360201125674e-05 | 341 | 0.99996752339505 | 6.49532099002882e-05 | 3.24766049501441e-05 | 342 | 0.999936448005473 | 0.000127103989053084 | 6.35519945265419e-05 | 343 | 0.99985337310285 | 0.00029325379430201 | 0.000146626897151005 | 344 | 0.999696736336768 | 0.000606527326464002 | 0.000303263663232001 | 345 | 0.999750769413364 | 0.000498461173271183 | 0.000249230586635592 | 346 | 0.99946407136271 | 0.00107185727457891 | 0.000535928637289454 | 347 | 0.998678642419064 | 0.00264271516187140 | 0.00132135758093570 | 348 | 0.996879776176317 | 0.00624044764736657 | 0.00312022382368329 | 349 | 0.998480266292986 | 0.00303946741402731 | 0.00151973370701366 | 350 | 0.998273220183384 | 0.00345355963323155 | 0.00172677981661577 | 351 | 0.996559689111578 | 0.00688062177684465 | 0.00344031088842233 | 352 | 0.996456565009462 | 0.00708686998107652 | 0.00354343499053826 | 353 | 0.996531571042105 | 0.00693685791579049 | 0.00346842895789524 | 354 | 0.98779560637965 | 0.0244087872407013 | 0.0122043936203506 | 355 | 0.957172277313152 | 0.0856554453736968 | 0.0428277226868484 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | Description | # significant tests | % significant tests | OK/NOK | 1% type I error level | 314 | 0.894586894586895 | NOK | 5% type I error level | 319 | 0.908831908831909 | NOK | 10% type I error level | 322 | 0.917378917378917 | NOK |
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| | Parameters (Session): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = Linear Trend ; | | Parameters (R input): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = Linear Trend ; | | R code (references can be found in the software module): | library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT<br />H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE)
a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}
| |
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Software written by Ed van Stee & Patrick Wessa
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