| Multiple Linear Regression - Estimated Regression Equation |
| Dividends[t] = + 89641.0785116676 -47111.1144754121Group[t] + 0.45144769884632Costs[t] -1.88122427276785GrCosts[t] -196.042714705314Trades[t] + 3.05579768268300GrTrades[t] + 0.61601859145794GrDiv[t] + 0.00188101486872750TrDiv[t] + 0.0167804714914530`Wealth `[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) | 89641.0785116676 | 7611.486038 | 11.7771 | 0 | 0 |
| Group | -47111.1144754121 | 18504.764751 | -2.5459 | 0.012581 | 0.006291 |
| Costs | 0.45144769884632 | 0.493154 | 0.9154 | 0.362386 | 0.181193 |
| GrCosts | -1.88122427276785 | 0.773845 | -2.431 | 0.017017 | 0.008508 |
| Trades | -196.042714705314 | 55.429935 | -3.5368 | 0.00064 | 0.00032 |
| GrTrades | 3.05579768268300 | 65.59825 | 0.0466 | 0.962947 | 0.481474 |
| GrDiv | 0.61601859145794 | 0.142439 | 4.3248 | 3.9e-05 | 2e-05 |
| TrDiv | 0.00188101486872750 | 0.000408 | 4.6119 | 1.3e-05 | 6e-06 |
| `Wealth ` | 0.0167804714914530 | 0.008868 | 1.8922 | 0.061639 | 0.03082 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.750113577231125 |
| R-squared | 0.562670378746475 |
| Adjusted R-squared | 0.524223818636275 |
| F-TEST (value) | 14.6351293102344 |
| F-TEST (DF numerator) | 8 |
| F-TEST (DF denominator) | 91 |
| p-value | 1.51767487466259e-13 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 36865.9122929752 |
| Sum Squared Residuals | 123677689516.594 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 213118 | 271556.7621898 | -58438.7621897998 |
| 2 | 81767 | 110759.229434398 | -28992.2294343985 |
| 3 | 153198 | 124257.388205936 | 28940.6117940639 |
| 4 | -26007 | -36490.2451990748 | 10483.2451990748 |
| 5 | 126942 | 81193.5983430566 | 45748.4016569434 |
| 6 | 157214 | 124313.427807197 | 32900.5721928035 |
| 7 | 129352 | 153806.745502125 | -24454.7455021254 |
| 8 | 234817 | 249288.652738246 | -14471.6527382465 |
| 9 | 60448 | 5337.9624847917 | 55110.0375152083 |
| 10 | 47818 | 61709.7612852289 | -13891.7612852289 |
| 11 | 245546 | 152345.223719350 | 93200.7762806502 |
| 12 | 48020 | 100263.016672208 | -52243.0166722077 |
| 13 | -1710 | -6715.76942943809 | 5005.76942943809 |
| 14 | 32648 | 66436.5254617733 | -33788.5254617733 |
| 15 | 95350 | 75019.7922395098 | 20330.2077604902 |
| 16 | 151352 | 121038.433643929 | 30313.5663560712 |
| 17 | 288170 | 143829.841252964 | 144340.158747036 |
| 18 | 114337 | 107287.672095048 | 7049.32790495192 |
| 19 | 37884 | -1453.94950102996 | 39337.9495010300 |
| 20 | 122844 | 118373.630285954 | 4470.36971404615 |
| 21 | 82340 | 84858.4813124563 | -2518.48131245631 |
| 22 | 79801 | 68107.2041082234 | 11693.7958917766 |
| 23 | 165548 | 119209.602660505 | 46338.3973394953 |
| 24 | 116384 | 108135.953547851 | 8248.0464521491 |
| 25 | 134028 | 106305.814036989 | 27722.1859630114 |
| 26 | 63838 | 101002.479943801 | -37164.4799438006 |
| 27 | 74996 | 47448.1056024594 | 27547.8943975406 |
| 28 | 31080 | 76381.7534582761 | -45301.7534582761 |
| 29 | 32168 | 101638.627068254 | -69470.6270682537 |
| 30 | 49857 | 67075.4476553549 | -17218.4476553549 |
| 31 | 87161 | 102150.877740806 | -14989.8777408057 |
| 32 | 106113 | 101770.696356937 | 4342.3036430629 |
| 33 | 80570 | 92559.4326346243 | -11989.4326346243 |
| 34 | 102129 | 108970.258094779 | -6841.25809477869 |
| 35 | 301670 | 112603.176138140 | 189066.823861860 |
| 36 | 102313 | 103806.243141918 | -1493.24314191827 |
| 37 | 88577 | 102565.069179618 | -13988.0691796185 |
| 38 | 112477 | 117397.576816457 | -4920.57681645669 |
| 39 | 191778 | 182292.138974381 | 9485.86102561881 |
| 40 | 79804 | 88610.29123114 | -8806.29123114004 |
| 41 | 128294 | 135921.655576866 | -7627.65557686611 |
| 42 | 96448 | 101212.636821359 | -4764.63682135877 |
| 43 | 93811 | 95677.0735991959 | -1866.07359919588 |
| 44 | 117520 | 102311.361401423 | 15208.6385985768 |
| 45 | 69159 | 94014.8973874322 | -24855.8973874322 |
| 46 | 101792 | 105619.004381 | -3827.00438099995 |
| 47 | 210568 | 186400.776533861 | 24167.2234661394 |
| 48 | 136996 | 145124.613196440 | -8128.6131964396 |
| 49 | 121920 | 102521.872243210 | 19398.1277567903 |
| 50 | 76403 | 92501.6281403057 | -16098.6281403057 |
| 51 | 108094 | 115179.377526877 | -7085.37752687652 |
| 52 | 134759 | 137275.533266458 | -2516.53326645753 |
| 53 | 188873 | 175869.105746296 | 13003.8942537043 |
| 54 | 146216 | 153398.235463262 | -7182.23546326161 |
| 55 | 156608 | 153921.400117165 | 2686.59988283512 |
| 56 | 61348 | 89997.1829398866 | -28649.1829398866 |
| 57 | 50350 | 98973.520945051 | -48623.5209450511 |
| 58 | 87720 | 97667.0562584108 | -9947.05625841083 |
| 59 | 99489 | 95440.016737978 | 4048.98326202195 |
| 60 | 87419 | 86981.1288837692 | 437.871116230826 |
| 61 | 94355 | 100248.633800110 | -5893.63380011022 |
| 62 | 60326 | 91102.1599397574 | -30776.1599397574 |
| 63 | 94670 | 102858.409187576 | -8188.40918757643 |
| 64 | 82425 | 85318.537357861 | -2893.53735786104 |
| 65 | 59017 | 90197.688862645 | -31180.6888626449 |
| 66 | 90829 | 77824.3890265762 | 13004.6109734238 |
| 67 | 80791 | 90729.7275906502 | -9938.72759065021 |
| 68 | 100423 | 108090.887559345 | -7667.88755934492 |
| 69 | 131116 | 102595.431722880 | 28520.5682771203 |
| 70 | 100269 | 105278.694070491 | -5009.69407049134 |
| 71 | 27330 | 50952.085744255 | -23622.085744255 |
| 72 | 39039 | 92295.8875835272 | -53256.8875835272 |
| 73 | 106885 | 95938.5648400552 | 10946.4351599448 |
| 74 | 79285 | 94883.1140766618 | -15598.1140766618 |
| 75 | 118881 | 97978.8228053114 | 20902.1771946886 |
| 76 | 77623 | 92469.857293395 | -14846.8572933949 |
| 77 | 114768 | 97242.860829017 | 17525.1391709829 |
| 78 | 74015 | 92081.4240047587 | -18066.4240047587 |
| 79 | 69465 | 88706.8589943515 | -19241.8589943515 |
| 80 | 117869 | 126153.671737811 | -8284.67173781054 |
| 81 | 60982 | 93952.2466475115 | -32970.2466475115 |
| 82 | 90131 | 96998.0947546509 | -6867.09475465085 |
| 83 | 138971 | 100921.947826691 | 38049.0521733088 |
| 84 | 39625 | 92813.2094663442 | -53188.2094663442 |
| 85 | 102725 | 96824.5884804672 | 5900.41151953277 |
| 86 | 64239 | 74764.0619711108 | -10525.0619711108 |
| 87 | 90262 | 96718.227321989 | -6456.227321989 |
| 88 | 103960 | 96395.2667443905 | 7564.73325560954 |
| 89 | 106611 | 96899.3753195932 | 9711.62468040676 |
| 90 | 103345 | 96717.9567539067 | 6627.0432460933 |
| 91 | 95551 | 96283.6208096572 | -732.62080965723 |
| 92 | 82903 | 94126.5774213834 | -11223.5774213834 |
| 93 | 63593 | 90280.5304702878 | -26687.5304702878 |
| 94 | 126910 | 120997.129116223 | 5912.87088377726 |
| 95 | 37527 | 90866.7383970305 | -53339.7383970305 |
| 96 | 60247 | 78170.0414337687 | -17923.0414337687 |
| 97 | 112995 | 97739.5382166816 | 15255.4617833184 |
| 98 | 70184 | 77793.8367675531 | -7609.8367675531 |
| 99 | 130140 | 99191.2918170656 | 30948.7081829344 |
| 100 | 73221 | 90573.007135473 | -17352.0071354731 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 12 | 0.997126615993462 | 0.00574676801307604 | 0.00287338400653802 |
| 13 | 0.993733447164097 | 0.0125331056718052 | 0.00626655283590261 |
| 14 | 0.998476992587998 | 0.00304601482400450 | 0.00152300741200225 |
| 15 | 0.996798403731896 | 0.00640319253620751 | 0.00320159626810375 |
| 16 | 0.99562132228145 | 0.0087573554371002 | 0.0043786777185501 |
| 17 | 0.999949412548556 | 0.000101174902889071 | 5.05874514445356e-05 |
| 18 | 0.999887834576238 | 0.000224330847523494 | 0.000112165423761747 |
| 19 | 0.999751758609837 | 0.000496482780326472 | 0.000248241390163236 |
| 20 | 0.999520386897057 | 0.000959226205886855 | 0.000479613102943427 |
| 21 | 0.999341420925218 | 0.00131715814956448 | 0.000658579074782239 |
| 22 | 0.998899568096578 | 0.00220086380684370 | 0.00110043190342185 |
| 23 | 0.998153606102164 | 0.00369278779567203 | 0.00184639389783602 |
| 24 | 0.997259909810265 | 0.005480180379469 | 0.0027400901897345 |
| 25 | 0.996237910649267 | 0.00752417870146629 | 0.00376208935073314 |
| 26 | 0.998617981010872 | 0.00276403797825659 | 0.00138201898912829 |
| 27 | 0.997697162353614 | 0.00460567529277194 | 0.00230283764638597 |
| 28 | 0.998938118677117 | 0.00212376264576631 | 0.00106188132288315 |
| 29 | 0.999948824078717 | 0.000102351842566959 | 5.11759212834793e-05 |
| 30 | 0.999904858010468 | 0.000190283979064614 | 9.51419895323072e-05 |
| 31 | 0.999921485910396 | 0.000157028179208382 | 7.85140896041911e-05 |
| 32 | 0.999858804773652 | 0.000282390452695073 | 0.000141195226347536 |
| 33 | 0.999877705022853 | 0.000244589954293994 | 0.000122294977146997 |
| 34 | 0.999830313166854 | 0.000339373666291003 | 0.000169686833145502 |
| 35 | 0.999999999994082 | 1.18365330178135e-11 | 5.91826650890677e-12 |
| 36 | 0.99999999998696 | 2.60816899040654e-11 | 1.30408449520327e-11 |
| 37 | 0.999999999976643 | 4.67136919906353e-11 | 2.33568459953177e-11 |
| 38 | 0.999999999947826 | 1.04349068301360e-10 | 5.21745341506798e-11 |
| 39 | 0.999999999868669 | 2.62662579211616e-10 | 1.31331289605808e-10 |
| 40 | 0.999999999733022 | 5.33955170451638e-10 | 2.66977585225819e-10 |
| 41 | 0.999999999990155 | 1.96909962565398e-11 | 9.84549812826988e-12 |
| 42 | 0.99999999999153 | 1.69416396153160e-11 | 8.47081980765799e-12 |
| 43 | 0.999999999978956 | 4.20869884073385e-11 | 2.10434942036693e-11 |
| 44 | 0.999999999976005 | 4.799093274538e-11 | 2.399546637269e-11 |
| 45 | 0.99999999995354 | 9.29213316969542e-11 | 4.64606658484771e-11 |
| 46 | 0.99999999987269 | 2.54621078667073e-10 | 1.27310539333537e-10 |
| 47 | 0.99999999992581 | 1.48380017034485e-10 | 7.41900085172423e-11 |
| 48 | 0.999999999996553 | 6.8939773059141e-12 | 3.44698865295705e-12 |
| 49 | 0.999999999992174 | 1.56513267665523e-11 | 7.82566338327613e-12 |
| 50 | 0.999999999984524 | 3.09528712017229e-11 | 1.54764356008615e-11 |
| 51 | 0.999999999955522 | 8.89550818570371e-11 | 4.44775409285186e-11 |
| 52 | 0.999999999907945 | 1.84110125220306e-10 | 9.20550626101531e-11 |
| 53 | 0.99999999972647 | 5.47058242746945e-10 | 2.73529121373472e-10 |
| 54 | 0.99999999986366 | 2.72679968511218e-10 | 1.36339984255609e-10 |
| 55 | 0.999999999909807 | 1.80386292692178e-10 | 9.0193146346089e-11 |
| 56 | 0.999999999782577 | 4.34845081047319e-10 | 2.17422540523659e-10 |
| 57 | 0.999999999983037 | 3.39250488840588e-11 | 1.69625244420294e-11 |
| 58 | 0.99999999994529 | 1.09418116532638e-10 | 5.4709058266319e-11 |
| 59 | 0.999999999829063 | 3.41873259617551e-10 | 1.70936629808776e-10 |
| 60 | 0.999999999502048 | 9.95904839121552e-10 | 4.97952419560776e-10 |
| 61 | 0.999999998789676 | 2.42064693100931e-09 | 1.21032346550465e-09 |
| 62 | 0.99999999680941 | 6.38117826510781e-09 | 3.19058913255391e-09 |
| 63 | 0.999999990577567 | 1.88448666070307e-08 | 9.42243330351535e-09 |
| 64 | 0.999999971351037 | 5.72979262147124e-08 | 2.86489631073562e-08 |
| 65 | 0.99999992506197 | 1.49876060554727e-07 | 7.49380302773633e-08 |
| 66 | 0.999999795694934 | 4.08610131027613e-07 | 2.04305065513807e-07 |
| 67 | 0.999999623746249 | 7.52507502412313e-07 | 3.76253751206156e-07 |
| 68 | 0.999999066625409 | 1.86674918253146e-06 | 9.33374591265731e-07 |
| 69 | 0.99999877114638 | 2.45770723998227e-06 | 1.22885361999114e-06 |
| 70 | 0.999996605757284 | 6.78848543196701e-06 | 3.39424271598350e-06 |
| 71 | 0.999993297881612 | 1.34042367761426e-05 | 6.70211838807129e-06 |
| 72 | 0.999986806816569 | 2.63863668621131e-05 | 1.31931834310566e-05 |
| 73 | 0.999975923882636 | 4.81522347274234e-05 | 2.40761173637117e-05 |
| 74 | 0.999938806934484 | 0.000122386131032283 | 6.11930655161417e-05 |
| 75 | 0.999893624130258 | 0.000212751739484131 | 0.000106375869742066 |
| 76 | 0.999861870868214 | 0.000276258263571041 | 0.000138129131785521 |
| 77 | 0.999689772454412 | 0.000620455091176574 | 0.000310227545588287 |
| 78 | 0.999429726091446 | 0.00114054781710721 | 0.000570273908553603 |
| 79 | 0.99890790485341 | 0.00218419029317868 | 0.00109209514658934 |
| 80 | 0.999971929949064 | 5.6140101871375e-05 | 2.80700509356875e-05 |
| 81 | 0.999916613238446 | 0.000166773523107854 | 8.33867615539269e-05 |
| 82 | 0.999875297023712 | 0.000249405952576544 | 0.000124702976288272 |
| 83 | 0.99965962613862 | 0.000680747722761924 | 0.000340373861380962 |
| 84 | 0.99963283125792 | 0.000734337484161349 | 0.000367168742080674 |
| 85 | 0.998536297442763 | 0.00292740511447479 | 0.00146370255723739 |
| 86 | 0.996519255975569 | 0.0069614880488625 | 0.00348074402443125 |
| 87 | 0.997974140583017 | 0.00405171883396538 | 0.00202585941698269 |
| 88 | 0.995384090484719 | 0.00923181903056236 | 0.00461590951528118 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 76 | 0.987012987012987 | NOK |
| 5% type I error level | 77 | 1 | NOK |
| 10% type I error level | 77 | 1 | NOK |
