| Multiple Linear Regression - Estimated Regression Equation |
| Dividends[t] = + 85911.967916227 + 0.214355753676764GrDiv[t] + 0.000555103619047705TrDiv[t] + 0.000221434145803542Wealth[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) | 85911.967916227 | 12213.617062 | 7.0341 | 0 | 0 |
| GrDiv | 0.214355753676764 | 0.152142 | 1.4089 | 0.165733 | 0.082867 |
| TrDiv | 0.000555103619047705 | 0.000339 | 1.6383 | 0.108326 | 0.054163 |
| Wealth | 0.000221434145803542 | 0.011438 | 0.0194 | 0.98464 | 0.49232 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.448155152938841 |
| R-squared | 0.200843041105636 |
| Adjusted R-squared | 0.147565910512678 |
| F-TEST (value) | 3.76977961970392 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 45 |
| p-value | 0.0169568030770108 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 62605.547849673 |
| Sum Squared Residuals | 176375457970.096 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 213118 | 260871.373948601 | -47753.3739486007 |
| 2 | 81767 | 118421.936185145 | -36654.9361851446 |
| 3 | 153198 | 158609.222386787 | -5411.2223867872 |
| 4 | -26007 | 77154.744172148 | -103161.744172148 |
| 5 | 126942 | 134520.941676952 | -7578.94167695209 |
| 6 | 157214 | 133619.948113397 | 23594.0518866032 |
| 7 | 129352 | 120752.323506911 | 8599.67649308863 |
| 8 | 234817 | 178906.480953616 | 55910.5190463842 |
| 9 | 60448 | 114238.260327425 | -53790.2603274251 |
| 10 | 47818 | 99374.9805676095 | -51556.9805676095 |
| 11 | 245546 | 101857.020761397 | 143688.979238603 |
| 12 | 48020 | 89062.2234214506 | -41042.2234214506 |
| 13 | -1710 | 85641.277939319 | -87351.277939319 |
| 14 | 32648 | 90261.4905352167 | -57613.4905352167 |
| 15 | 95350 | 132862.310885146 | -37512.3108851458 |
| 16 | 151352 | 94820.5300143178 | 56531.4699856822 |
| 17 | 288170 | 103523.019699692 | 184646.980300308 |
| 18 | 114337 | 142453.640816500 | -28116.6408165005 |
| 19 | 37884 | 99467.2959239239 | -61583.2959239239 |
| 20 | 122844 | 111447.840766985 | 11396.1592330152 |
| 21 | 82340 | 109195.292003316 | -26855.2920033164 |
| 22 | 79801 | 106896.442870645 | -27095.4428706447 |
| 23 | 165548 | 95440.9208120198 | 70107.0791879802 |
| 24 | 116384 | 105029.053936429 | 11354.9460635711 |
| 25 | 134028 | 93823.5605138067 | 40204.4394861933 |
| 26 | 63838 | 88299.7268487551 | -24461.7268487551 |
| 27 | 74996 | 113233.543736569 | -38237.5437365693 |
| 28 | 31080 | 88129.3150649772 | -57049.3150649772 |
| 29 | 32168 | 86746.112706025 | -54578.1127060249 |
| 30 | 49857 | 96006.4213668607 | -46149.4213668606 |
| 31 | 87161 | 106102.683775075 | -18941.6837750748 |
| 32 | 106113 | 113799.440125566 | -7686.44012556599 |
| 33 | 80570 | 105304.692952340 | -24734.6929523396 |
| 34 | 102129 | 110714.19516378 | -8585.19516378011 |
| 35 | 301670 | 89778.0053895369 | 211891.994610463 |
| 36 | 102313 | 94798.7744779095 | 7514.22552209048 |
| 37 | 88577 | 90530.7460788675 | -1953.74607886747 |
| 38 | 112477 | 115233.848609522 | -2756.84860952227 |
| 39 | 191778 | 135585.847321122 | 56192.1526788776 |
| 40 | 79804 | 92385.4348692007 | -12581.4348692007 |
| 41 | 128294 | 144101.815276617 | -15807.8152766167 |
| 42 | 96448 | 89260.5707569781 | 7187.4292430219 |
| 43 | 93811 | 97791.9740071495 | -3980.97400714948 |
| 44 | 117520 | 92853.3413616153 | 24666.6586383847 |
| 45 | 69159 | 88376.2796344196 | -19217.2796344196 |
| 46 | 101792 | 109162.250822523 | -7370.25082252267 |
| 47 | 210568 | 134228.495300535 | 76339.5046994649 |
| 48 | 136996 | 139871.535799557 | -2875.53579955737 |
| 49 | 121920 | 91700.8158157434 | 30219.1841842566 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.476080935622919 | 0.952161871245839 | 0.523919064377081 |
| 8 | 0.362772210875527 | 0.725544421751053 | 0.637227789124473 |
| 9 | 0.253206471054986 | 0.506412942109971 | 0.746793528945014 |
| 10 | 0.170121799920125 | 0.340243599840251 | 0.829878200079875 |
| 11 | 0.838839969640217 | 0.322320060719565 | 0.161160030359783 |
| 12 | 0.781025114375188 | 0.437949771249625 | 0.218974885624812 |
| 13 | 0.831619486575675 | 0.33676102684865 | 0.168380513424325 |
| 14 | 0.769552978126924 | 0.460894043746153 | 0.230447021873076 |
| 15 | 0.719317625856646 | 0.561364748286707 | 0.280682374143354 |
| 16 | 0.727736576903578 | 0.544526846192844 | 0.272263423096422 |
| 17 | 0.982647852628515 | 0.0347042947429699 | 0.0173521473714849 |
| 18 | 0.973405465994433 | 0.0531890680111341 | 0.0265945340055671 |
| 19 | 0.978826907636436 | 0.0423461847271282 | 0.0211730923635641 |
| 20 | 0.964534873857188 | 0.0709302522856242 | 0.0354651261428121 |
| 21 | 0.95656426002144 | 0.0868714799571193 | 0.0434357399785597 |
| 22 | 0.943522685131417 | 0.112954629737166 | 0.0564773148685832 |
| 23 | 0.937458195390188 | 0.125083609219623 | 0.0625418046098116 |
| 24 | 0.910392341044393 | 0.179215317911214 | 0.0896076589556068 |
| 25 | 0.888218084600769 | 0.223563830798462 | 0.111781915399231 |
| 26 | 0.85031606967235 | 0.299367860655299 | 0.149683930327650 |
| 27 | 0.823430375610201 | 0.353139248779597 | 0.176569624389799 |
| 28 | 0.775213742949253 | 0.449572514101494 | 0.224786257050747 |
| 29 | 0.854063056751733 | 0.291873886496534 | 0.145936943248267 |
| 30 | 0.843977340692683 | 0.312045318614634 | 0.156022659307317 |
| 31 | 0.83803350979634 | 0.32393298040732 | 0.16196649020366 |
| 32 | 0.795121402556055 | 0.409757194887889 | 0.204878597443945 |
| 33 | 0.849222069801528 | 0.301555860396943 | 0.150777930198472 |
| 34 | 0.831101249417128 | 0.337797501165743 | 0.168898750582872 |
| 35 | 0.99965088325725 | 0.000698233485501163 | 0.000349116742750581 |
| 36 | 0.998967386581803 | 0.00206522683639501 | 0.00103261341819751 |
| 37 | 0.997327390625418 | 0.00534521874916364 | 0.00267260937458182 |
| 38 | 0.998867085901866 | 0.00226582819626742 | 0.00113291409813371 |
| 39 | 0.99646759774004 | 0.00706480451991878 | 0.00353240225995939 |
| 40 | 0.990286038669445 | 0.0194279226611094 | 0.0097139613305547 |
| 41 | 0.985974310284029 | 0.0280513794319425 | 0.0140256897159713 |
| 42 | 0.952819863338529 | 0.0943602733229421 | 0.0471801366614711 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 5 | 0.138888888888889 | NOK |
| 5% type I error level | 9 | 0.25 | NOK |
| 10% type I error level | 13 | 0.361111111111111 | NOK |
