| Multiple Linear Regression - Estimated Regression Equation |
| Characters[t] = + 4360.77364876521 + 2.09107776635706Revisions[t] + 112.513477320675Blogs[t] -323.783674645182Hours[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) | 4360.77364876521 | 1137.173045 | 3.8347 | 0.000206 | 0.000103 |
| Revisions | 2.09107776635706 | 0.6557 | 3.1891 | 0.001839 | 0.00092 |
| Blogs | 112.513477320675 | 40.699203 | 2.7645 | 0.006642 | 0.003321 |
| Hours | -323.783674645182 | 725.473463 | -0.4463 | 0.656215 | 0.328107 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.557784004650236 |
| R-squared | 0.311122995843655 |
| Adjusted R-squared | 0.293152291387402 |
| F-TEST (value) | 17.3127879656051 |
| F-TEST (DF numerator) | 3 |
| F-TEST (DF denominator) | 115 |
| p-value | 2.41389053190488e-09 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 7053.47119955208 |
| Sum Squared Residuals | 5721417435.73473 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 28586 | 23238.853909308 | 5347.14609069199 |
| 2 | 25725 | 21681.3459789195 | 4043.65402108047 |
| 3 | 24178 | 16867.6174933123 | 7310.38250668775 |
| 4 | 23067 | 21945.0280553096 | 1121.97194469039 |
| 5 | 15385 | 17517.8792519798 | -2132.8792519798 |
| 6 | 19369 | 20822.5240168385 | -1453.52401683848 |
| 7 | 8962 | 12533.2932241082 | -3571.29322410824 |
| 8 | 24144 | 21450.5933642013 | 2693.40663579869 |
| 9 | 10113 | 11489.9803536027 | -1376.98035360272 |
| 10 | 13379 | 14686.6312165974 | -1307.63121659743 |
| 11 | 16955 | 21087.5553596378 | -4132.55535963776 |
| 12 | 14397 | 10463.93567954 | 3933.06432046004 |
| 13 | 22078 | 20305.0911804547 | 1772.90881954535 |
| 14 | 6455 | 8944.26567583676 | -2489.26567583676 |
| 15 | 11118 | 14445.3517874676 | -3327.35178746763 |
| 16 | 7656 | 9347.43896268107 | -1691.43896268107 |
| 17 | 13568 | 16273.1560749663 | -2705.15607496632 |
| 18 | 12327 | 16352.3471602746 | -4025.34716027458 |
| 19 | 13631 | 12275.4874925502 | 1355.51250744979 |
| 20 | 5440 | 6806.71200910392 | -1366.71200910391 |
| 21 | 26285 | 22932.3658073615 | 3352.63419263851 |
| 22 | 6713 | 9178.20047398192 | -2465.20047398192 |
| 23 | 5636 | 7253.86927196416 | -1617.86927196416 |
| 24 | 4882 | 8881.67215322182 | -3999.67215322182 |
| 25 | 7283 | 9119.65029652392 | -1836.65029652392 |
| 26 | 9616 | 10021.4444707931 | -405.444470793071 |
| 27 | 10583 | 10433.3867907654 | 149.613209234589 |
| 28 | 9847 | 11413.4951387643 | -1566.49513876428 |
| 29 | 16352 | 8929.90187675469 | 7422.09812324531 |
| 30 | 6719 | 8751.6880770984 | -2032.6880770984 |
| 31 | 30206 | 14465.1871266618 | 15740.8128733382 |
| 32 | 5239 | 11056.7977522958 | -5817.79775229577 |
| 33 | 9048 | 10003.0294929585 | -955.029492958463 |
| 34 | 8716 | 9756.61957113761 | -1040.61957113761 |
| 35 | 8426 | 8769.2936108078 | -343.2936108078 |
| 36 | 12548 | 11719.2646821683 | 828.735317831653 |
| 37 | 3285 | 5797.53476754778 | -2512.53476754778 |
| 38 | 11141 | 5842.86396918908 | 5298.13603081092 |
| 39 | 9755 | 6600.98081934483 | 3154.01918065517 |
| 40 | 10418 | 15846.7150210053 | -5428.71502100526 |
| 41 | 4704 | 6632.34698584018 | -1928.34698584018 |
| 42 | 11824 | 11500.9832329994 | 323.016767000641 |
| 43 | 10845 | 8489.76369933451 | 2355.23630066549 |
| 44 | 7590 | 11625.098715229 | -4035.09871522895 |
| 45 | 3044 | 5578.91598111216 | -2534.91598111216 |
| 46 | 13637 | 15699.3951983284 | -2062.3951983284 |
| 47 | 4862 | 8691.79267401505 | -3829.79267401505 |
| 48 | 10624 | 12020.9908804155 | -1396.99088041547 |
| 49 | 3349 | 7765.1079689096 | -4416.1079689096 |
| 50 | 10697 | 9473.85575863259 | 1223.14424136741 |
| 51 | 5953 | 6841.66104030499 | -888.661040304989 |
| 52 | 9555 | 10318.0441344756 | -763.044134475611 |
| 53 | 7860 | 12063.0822228986 | -4203.08222289856 |
| 54 | 6519 | 9198.57547014534 | -2679.57547014534 |
| 55 | 5866 | 5211.36235921837 | 654.637640781631 |
| 56 | 13042 | 14451.7677066116 | -1409.76770661159 |
| 57 | 13624 | 12947.4058810223 | 676.59411897767 |
| 58 | 10848 | 12517.7904772299 | -1669.79047722991 |
| 59 | 15322 | 10819.0933542761 | 4502.90664572391 |
| 60 | 5480 | 7172.79330406129 | -1692.79330406129 |
| 61 | 8736 | 8708.99348566184 | 27.0065143381595 |
| 62 | 5820 | 9882.49283465075 | -4062.49283465076 |
| 63 | 4799 | 7257.31332629411 | -2458.31332629411 |
| 64 | 7771 | 6782.5037384244 | 988.496261575597 |
| 65 | 3793 | 8127.26914455197 | -4334.26914455197 |
| 66 | 5936 | 5977.16901122099 | -41.169011220985 |
| 67 | 2835 | 6440.57883122704 | -3605.57883122704 |
| 68 | 4813 | 8785.14919682923 | -3972.14919682923 |
| 69 | 6711 | 8075.73417706493 | -1364.73417706493 |
| 70 | 6803 | 7807.26677884602 | -1004.26677884602 |
| 71 | 9699 | 10311.4336465673 | -612.433646567262 |
| 72 | 6899 | 4362.31731862408 | 2536.68268137592 |
| 73 | 10117 | 8862.04688466851 | 1254.95311533149 |
| 74 | 6328 | 5577.70569039346 | 750.29430960654 |
| 75 | 4336 | 5439.69455781389 | -1103.69455781389 |
| 76 | 6700 | 6316.73305349604 | 383.26694650396 |
| 77 | 10590 | 8593.78188880958 | 1996.21811119042 |
| 78 | 3678 | 5974.6057439387 | -2296.60574393869 |
| 79 | 723 | 4739.58822814689 | -4016.58822814689 |
| 80 | 2530 | 5456.42705541387 | -2926.42705541387 |
| 81 | 60486 | 6876.06653906767 | 53609.9334609323 |
| 82 | 1498 | 5311.73796747262 | -3813.73796747262 |
| 83 | 11754 | 9544.61902354857 | 2209.38097645143 |
| 84 | 3308 | 7979.21122067235 | -4671.21122067235 |
| 85 | 1879 | 5616.63059929815 | -3737.63059929815 |
| 86 | 5683 | 9532.88200107564 | -3849.88200107564 |
| 87 | 6369 | 9722.09084653297 | -3353.09084653297 |
| 88 | 7659 | 9290.04719302227 | -1631.04719302227 |
| 89 | 3546 | 4406.30129464002 | -860.301294640019 |
| 90 | 4157 | 7611.58625585611 | -3454.58625585611 |
| 91 | 7867 | 4950.38623595546 | 2916.61376404454 |
| 92 | 37706 | 4366.57081707924 | 33339.4291829208 |
| 93 | 4202 | 7415.49713533448 | -3213.49713533448 |
| 94 | 5047 | 7129.82892546877 | -2082.82892546877 |
| 95 | 9840 | 5234.77281218002 | 4605.22718781998 |
| 96 | 7619 | 6609.01562673921 | 1009.98437326079 |
| 97 | 2712 | 5595.78728908791 | -2883.78728908791 |
| 98 | 4259 | 5400.03542317555 | -1141.03542317555 |
| 99 | 3421 | 6333.12829648674 | -2912.12829648673 |
| 100 | 516 | 4594.09357154955 | -4078.09357154955 |
| 101 | 2097 | 4597.39881550372 | -2500.39881550372 |
| 102 | 2761 | 4758.47927096654 | -1997.47927096654 |
| 103 | 5429 | 4295.47417302309 | 1133.52582697691 |
| 104 | 799 | 5079.62833540699 | -4280.62833540699 |
| 105 | 480 | 4586.53870460933 | -4106.53870460933 |
| 106 | 2810 | 4944.98991423493 | -2134.98991423493 |
| 107 | 2949 | 6711.61337219736 | -3762.61337219736 |
| 108 | 5808 | 4619.25784766828 | 1188.74215233172 |
| 109 | 3875 | 4866.00502409841 | -991.005024098409 |
| 110 | 819 | 4831.73833571148 | -4012.73833571148 |
| 111 | 4799 | 4513.01760364667 | 285.982396353327 |
| 112 | 27 | 4398.41304855964 | -4371.41304855964 |
| 113 | 26444 | 4653.11981399259 | 21790.8801860074 |
| 114 | 5610 | 4684.48598048795 | 925.514019512049 |
| 115 | 20 | 4396.32197079328 | -4376.32197079328 |
| 116 | 4896 | 4483.74251491767 | 412.257485082326 |
| 117 | 8 | 4390.04873749421 | -4382.04873749421 |
| 118 | 7206 | 4475.37820385225 | 2730.62179614775 |
| 119 | 631 | 4475.37820385225 | -3844.37820385225 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 7 | 0.090376371814974 | 0.180752743629948 | 0.909623628185026 |
| 8 | 0.102465339616462 | 0.204930679232923 | 0.897534660383538 |
| 9 | 0.0443859009880731 | 0.0887718019761462 | 0.955614099011927 |
| 10 | 0.0175115890282253 | 0.0350231780564506 | 0.982488410971775 |
| 11 | 0.00859774783867294 | 0.0171954956773459 | 0.991402252161327 |
| 12 | 0.00865793251569568 | 0.0173158650313914 | 0.991342067484304 |
| 13 | 0.0042187411733671 | 0.0084374823467342 | 0.995781258826633 |
| 14 | 0.00168429052254577 | 0.00336858104509155 | 0.998315709477454 |
| 15 | 0.000638267278418269 | 0.00127653455683654 | 0.999361732721582 |
| 16 | 0.000224968149711619 | 0.000449936299423237 | 0.999775031850288 |
| 17 | 7.75561667513349e-05 | 0.00015511233350267 | 0.999922443833249 |
| 18 | 4.0142396374381e-05 | 8.02847927487619e-05 | 0.999959857603626 |
| 19 | 2.54256037304498e-05 | 5.08512074608996e-05 | 0.99997457439627 |
| 20 | 8.41360908893301e-06 | 1.6827218177866e-05 | 0.999991586390911 |
| 21 | 2.06200675550341e-05 | 4.12401351100682e-05 | 0.999979379932445 |
| 22 | 7.31570326181594e-06 | 1.46314065236319e-05 | 0.999992684296738 |
| 23 | 2.66191046459822e-06 | 5.32382092919644e-06 | 0.999997338089535 |
| 24 | 1.03639969399262e-06 | 2.07279938798525e-06 | 0.999998963600306 |
| 25 | 3.52124214825038e-07 | 7.04248429650075e-07 | 0.999999647875785 |
| 26 | 1.56969517275131e-07 | 3.13939034550262e-07 | 0.999999843030483 |
| 27 | 7.45510544820669e-08 | 1.49102108964134e-07 | 0.999999925448946 |
| 28 | 2.37775044366544e-08 | 4.75550088733088e-08 | 0.999999976222496 |
| 29 | 1.41281426011475e-06 | 2.82562852022949e-06 | 0.99999858718574 |
| 30 | 5.464081576655e-07 | 1.092816315331e-06 | 0.999999453591842 |
| 31 | 0.000656846102980682 | 0.00131369220596136 | 0.999343153897019 |
| 32 | 0.000634924987174748 | 0.0012698499743495 | 0.999365075012825 |
| 33 | 0.000342961238236067 | 0.000685922476472133 | 0.999657038761764 |
| 34 | 0.000181472043381309 | 0.000362944086762617 | 0.999818527956619 |
| 35 | 9.57907677473345e-05 | 0.000191581535494669 | 0.999904209232253 |
| 36 | 5.17702712179333e-05 | 0.000103540542435867 | 0.999948229728782 |
| 37 | 2.66920875994836e-05 | 5.33841751989672e-05 | 0.9999733079124 |
| 38 | 3.55290412081489e-05 | 7.10580824162978e-05 | 0.999964470958792 |
| 39 | 2.4947425231223e-05 | 4.98948504624461e-05 | 0.999975052574769 |
| 40 | 2.16065708962103e-05 | 4.32131417924206e-05 | 0.999978393429104 |
| 41 | 1.11703553932818e-05 | 2.23407107865636e-05 | 0.999988829644607 |
| 42 | 5.77461769100626e-06 | 1.15492353820125e-05 | 0.999994225382309 |
| 43 | 3.45116086186826e-06 | 6.90232172373651e-06 | 0.999996548839138 |
| 44 | 2.38002326179561e-06 | 4.76004652359123e-06 | 0.999997619976738 |
| 45 | 1.20733138425064e-06 | 2.41466276850127e-06 | 0.999998792668616 |
| 46 | 5.97467979471496e-07 | 1.19493595894299e-06 | 0.999999402532021 |
| 47 | 3.31631442607509e-07 | 6.63262885215017e-07 | 0.999999668368557 |
| 48 | 1.50806020307618e-07 | 3.01612040615236e-07 | 0.99999984919398 |
| 49 | 8.76315106738259e-08 | 1.75263021347652e-07 | 0.999999912368489 |
| 50 | 4.64348768429918e-08 | 9.28697536859836e-08 | 0.999999953565123 |
| 51 | 2.04979583525622e-08 | 4.09959167051244e-08 | 0.999999979502042 |
| 52 | 8.81855937239198e-09 | 1.7637118744784e-08 | 0.999999991181441 |
| 53 | 4.9435404169237e-09 | 9.88708083384741e-09 | 0.99999999505646 |
| 54 | 2.20748653438501e-09 | 4.41497306877002e-09 | 0.999999997792513 |
| 55 | 1.03286633982386e-09 | 2.06573267964771e-09 | 0.999999998967134 |
| 56 | 4.76300200835859e-10 | 9.52600401671718e-10 | 0.9999999995237 |
| 57 | 3.08764227299617e-10 | 6.17528454599233e-10 | 0.999999999691236 |
| 58 | 1.25404410959598e-10 | 2.50808821919196e-10 | 0.999999999874596 |
| 59 | 1.25364033922238e-10 | 2.50728067844477e-10 | 0.999999999874636 |
| 60 | 4.93536726612454e-11 | 9.87073453224909e-11 | 0.999999999950646 |
| 61 | 1.9885788331136e-11 | 3.9771576662272e-11 | 0.999999999980114 |
| 62 | 9.76614007881098e-12 | 1.9532280157622e-11 | 0.999999999990234 |
| 63 | 3.82101339010295e-12 | 7.6420267802059e-12 | 0.999999999996179 |
| 64 | 1.95722170621981e-12 | 3.91444341243961e-12 | 0.999999999998043 |
| 65 | 1.01529157693344e-12 | 2.03058315386688e-12 | 0.999999999998985 |
| 66 | 3.92722988600993e-13 | 7.85445977201985e-13 | 0.999999999999607 |
| 67 | 1.91950051006256e-13 | 3.83900102012513e-13 | 0.999999999999808 |
| 68 | 9.06547663884996e-14 | 1.81309532776999e-13 | 0.999999999999909 |
| 69 | 3.20622861367308e-14 | 6.41245722734617e-14 | 0.999999999999968 |
| 70 | 1.09600616652295e-14 | 2.19201233304589e-14 | 0.999999999999989 |
| 71 | 5.57607829371774e-15 | 1.11521565874355e-14 | 0.999999999999994 |
| 72 | 3.18387323366728e-15 | 6.36774646733456e-15 | 0.999999999999997 |
| 73 | 1.35317685374686e-15 | 2.70635370749373e-15 | 0.999999999999999 |
| 74 | 4.9802088466262e-16 | 9.96041769325241e-16 | 1 |
| 75 | 1.59453215628711e-16 | 3.18906431257423e-16 | 1 |
| 76 | 5.3739028696727e-17 | 1.07478057393454e-16 | 1 |
| 77 | 6.75935031430424e-17 | 1.35187006286085e-16 | 1 |
| 78 | 2.43533022822774e-17 | 4.87066045645549e-17 | 1 |
| 79 | 1.79361666162235e-17 | 3.5872333232447e-17 | 1 |
| 80 | 5.66541962734497e-18 | 1.13308392546899e-17 | 1 |
| 81 | 0.353408742425083 | 0.706817484850165 | 0.646591257574917 |
| 82 | 0.31897531600389 | 0.63795063200778 | 0.68102468399611 |
| 83 | 0.291884116013661 | 0.583768232027321 | 0.708115883986339 |
| 84 | 0.2527093648912 | 0.505418729782401 | 0.7472906351088 |
| 85 | 0.220422674509117 | 0.440845349018233 | 0.779577325490883 |
| 86 | 0.182081118107286 | 0.364162236214571 | 0.817918881892714 |
| 87 | 0.149644173697789 | 0.299288347395578 | 0.850355826302211 |
| 88 | 0.129796669335242 | 0.259593338670485 | 0.870203330664758 |
| 89 | 0.103992610420014 | 0.207985220840028 | 0.896007389579986 |
| 90 | 0.0797541277850227 | 0.159508255570045 | 0.920245872214977 |
| 91 | 0.0601339865781507 | 0.120267973156301 | 0.939866013421849 |
| 92 | 0.975187813136621 | 0.0496243737267587 | 0.0248121868633793 |
| 93 | 0.963371491266854 | 0.073257017466293 | 0.0366285087331465 |
| 94 | 0.94638139609987 | 0.107237207800259 | 0.0536186039001297 |
| 95 | 0.940558241268183 | 0.118883517463634 | 0.0594417587318171 |
| 96 | 0.915587723999243 | 0.168824552001515 | 0.0844122760007574 |
| 97 | 0.882496586377062 | 0.235006827245875 | 0.117503413622938 |
| 98 | 0.841741321742288 | 0.316517356515423 | 0.158258678257712 |
| 99 | 0.789781688839024 | 0.420436622321951 | 0.210218311160976 |
| 100 | 0.731838590378098 | 0.536322819243804 | 0.268161409621902 |
| 101 | 0.65996985190413 | 0.680060296191739 | 0.34003014809587 |
| 102 | 0.580086326798593 | 0.839827346402815 | 0.419913673201407 |
| 103 | 0.540890748981146 | 0.918218502037707 | 0.459109251018854 |
| 104 | 0.463181320959119 | 0.926362641918237 | 0.536818679040882 |
| 105 | 0.378472178374635 | 0.756944356749271 | 0.621527821625365 |
| 106 | 0.397770916432861 | 0.795541832865722 | 0.602229083567139 |
| 107 | 0.304891661891405 | 0.609783323782809 | 0.695108338108595 |
| 108 | 0.225480335013236 | 0.450960670026471 | 0.774519664986764 |
| 109 | 0.31567848915275 | 0.6313569783055 | 0.68432151084725 |
| 110 | 0.33620450052885 | 0.6724090010577 | 0.66379549947115 |
| 111 | 0.225225891438732 | 0.450451782877463 | 0.774774108561268 |
| 112 | 0.128380110522144 | 0.256760221044289 | 0.871619889477856 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 68 | 0.641509433962264 | NOK |
| 5% type I error level | 72 | 0.679245283018868 | NOK |
| 10% type I error level | 74 | 0.69811320754717 | NOK |
