| Multiple Linear Regression - Estimated Regression Equation |
| Time_RFC[t] = + 8640.07199570061 + 0.887998140862323Total_size[t] + 232.320496075782PR_views[t] + 1190.8593488082Blogged[t] + 223.203415742613Reviewed[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) | 8640.07199570061 | 8522.649604 | 1.0138 | 0.312601 | 0.156301 |
| Total_size | 0.887998140862323 | 0.173212 | 5.1266 | 1e-06 | 1e-06 |
| PR_views | 232.320496075782 | 73.729391 | 3.151 | 0.002026 | 0.001013 |
| Blogged | 1190.8593488082 | 198.029536 | 6.0135 | 0 | 0 |
| Reviewed | 223.203415742613 | 581.723937 | 0.3837 | 0.701843 | 0.350921 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.777885767944843 |
| R-squared | 0.605106267971138 |
| Adjusted R-squared | 0.592765838845236 |
| F-TEST (value) | 49.0344591583975 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 128 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 28105.0895359497 |
| Sum Squared Residuals | 101106695401.44 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 101645 | 70576.9883340825 | 31068.0116659175 |
| 2 | 101011 | 81274.7459472819 | 19736.2540527181 |
| 3 | 7176 | 10136.0138462235 | -2960.01384622351 |
| 4 | 96560 | 112840.371954315 | -16280.3719543154 |
| 5 | 175824 | 141354.237922095 | 34469.7620779049 |
| 6 | 341570 | 273398.039054347 | 68171.9609456526 |
| 7 | 103597 | 80822.2695793793 | 22774.7304206207 |
| 8 | 112611 | 99962.0865643275 | 12648.9134356725 |
| 9 | 85574 | 95432.0577397446 | -9858.05773974462 |
| 10 | 220801 | 137228.313777066 | 83572.6862229343 |
| 11 | 92661 | 122253.480492594 | -29592.4804925935 |
| 12 | 133328 | 134472.698978336 | -1144.69897833574 |
| 13 | 61361 | 67125.107986922 | -5764.10798692203 |
| 14 | 125930 | 133346.264445023 | -7416.26444502346 |
| 15 | 82316 | 69779.0699624545 | 12536.9300375455 |
| 16 | 102010 | 99585.6644886944 | 2424.33551130563 |
| 17 | 101523 | 155685.220911971 | -54162.2209119715 |
| 18 | 41566 | 32391.6744797858 | 9174.32552021424 |
| 19 | 99923 | 122047.357672184 | -22124.3576721841 |
| 20 | 22648 | 75427.079981082 | -52779.079981082 |
| 21 | 46698 | 45480.6895195134 | 1217.31048048663 |
| 22 | 131698 | 159796.428532578 | -28098.4285325776 |
| 23 | 91735 | 59630.6732236333 | 32104.3267763667 |
| 24 | 79863 | 104978.128796188 | -25115.1287961876 |
| 25 | 108043 | 102773.88465988 | 5269.11534012018 |
| 26 | 98866 | 94721.1218498284 | 4144.87815017162 |
| 27 | 120445 | 117105.23608938 | 3339.76391061975 |
| 28 | 116048 | 112774.875949429 | 3273.12405057144 |
| 29 | 250047 | 148932.240677135 | 101114.759322865 |
| 30 | 136084 | 83827.0785866902 | 52256.9214133098 |
| 31 | 92499 | 74673.7576919051 | 17825.2423080949 |
| 32 | 135781 | 110209.064883702 | 25571.9351162977 |
| 33 | 74408 | 89978.2462344504 | -15570.2462344504 |
| 34 | 81240 | 142628.323763083 | -61388.3237630833 |
| 35 | 133368 | 97904.8084455235 | 35463.1915544765 |
| 36 | 79619 | 108121.664640437 | -28502.6646404369 |
| 37 | 59194 | 113136.829975393 | -53942.8299753933 |
| 38 | 139942 | 146672.941096156 | -6730.94109615551 |
| 39 | 118612 | 119062.97761485 | -450.977614849859 |
| 40 | 72880 | 60473.535323169 | 12406.464676831 |
| 41 | 65475 | 97450.1335917318 | -31975.1335917318 |
| 42 | 99643 | 110998.792704326 | -11355.7927043261 |
| 43 | 71965 | 98690.0330765476 | -26725.0330765476 |
| 44 | 77272 | 67918.1912273007 | 9353.80877269929 |
| 45 | 49289 | 49700.0982236572 | -411.098223657223 |
| 46 | 135131 | 107670.350380549 | 27460.6496194515 |
| 47 | 108446 | 100656.594305851 | 7789.40569414856 |
| 48 | 89746 | 94473.1657660876 | -4727.16576608758 |
| 49 | 44296 | 48890.3862642377 | -4594.38626423771 |
| 50 | 77648 | 78478.9892215971 | -830.989221597112 |
| 51 | 181528 | 102456.720442418 | 79071.2795575824 |
| 52 | 134019 | 88353.9800499712 | 45665.0199500288 |
| 53 | 124064 | 92926.7295688316 | 31137.2704311684 |
| 54 | 92630 | 72957.6410857941 | 19672.3589142059 |
| 55 | 121848 | 94118.1634141806 | 27729.8365858194 |
| 56 | 52915 | 70337.5106128648 | -17422.5106128648 |
| 57 | 81872 | 80913.5303172295 | 958.469682770538 |
| 58 | 58981 | 60558.5219416796 | -1577.52194167959 |
| 59 | 53515 | 43070.8776359331 | 10444.1223640669 |
| 60 | 60812 | 78115.2027382713 | -17303.2027382713 |
| 61 | 56375 | 77391.8296576317 | -21016.8296576317 |
| 62 | 65490 | 69756.5372377885 | -4266.53723778851 |
| 63 | 80949 | 48683.4960247549 | 32265.5039752451 |
| 64 | 76302 | 81186.0247353124 | -4884.02473531239 |
| 65 | 104011 | 115132.418343399 | -11121.4183433992 |
| 66 | 98104 | 131302.436195347 | -33198.4361953472 |
| 67 | 67989 | 79772.23259652 | -11783.23259652 |
| 68 | 30989 | 30208.7884471605 | 780.211552839491 |
| 69 | 135458 | 107232.15931546 | 28225.8406845402 |
| 70 | 73504 | 84585.4293501342 | -11081.4293501342 |
| 71 | 63123 | 97604.9526231309 | -34481.9526231309 |
| 72 | 61254 | 84111.4693298294 | -22857.4693298294 |
| 73 | 74914 | 128834.313012618 | -53920.3130126181 |
| 74 | 31774 | 27264.8901725552 | 4509.10982744482 |
| 75 | 81437 | 96073.3263385551 | -14636.3263385551 |
| 76 | 87186 | 104319.124520001 | -17133.1245200009 |
| 77 | 50090 | 66765.9715411567 | -16675.9715411567 |
| 78 | 65745 | 95532.2451975931 | -29787.2451975931 |
| 79 | 56653 | 91583.5325510158 | -34930.5325510158 |
| 80 | 158399 | 79044.9621191537 | 79354.0378808463 |
| 81 | 46455 | 57765.6099977214 | -11310.6099977214 |
| 82 | 73624 | 87081.1924112933 | -13457.1924112933 |
| 83 | 38395 | 54638.6646267182 | -16243.6646267182 |
| 84 | 91899 | 80106.8647210917 | 11792.1352789083 |
| 85 | 139526 | 106020.062994181 | 33505.9370058195 |
| 86 | 52164 | 77259.2524945757 | -25095.2524945757 |
| 87 | 51567 | 68093.3830944191 | -16526.3830944191 |
| 88 | 70551 | 79851.7254829126 | -9300.72548291261 |
| 89 | 84856 | 92997.8661111276 | -8141.86611112762 |
| 90 | 102538 | 130584.02865238 | -28046.0286523795 |
| 91 | 86678 | 62391.0110398545 | 24286.9889601455 |
| 92 | 85709 | 82899.1898981802 | 2809.81010181983 |
| 93 | 34662 | 65952.7622836651 | -31290.7622836651 |
| 94 | 150580 | 114993.550318888 | 35586.4496811119 |
| 95 | 99611 | 121016.589368038 | -21405.5893680383 |
| 96 | 19349 | 31288.0071457453 | -11939.0071457453 |
| 97 | 99373 | 73535.3505153828 | 25837.6494846172 |
| 98 | 86230 | 63745.2185840269 | 22484.7814159731 |
| 99 | 30837 | 23447.5610873994 | 7389.43891260059 |
| 100 | 31706 | 69733.5263910967 | -38027.5263910967 |
| 101 | 89806 | 84074.7888048774 | 5731.21119512258 |
| 102 | 62088 | 51007.7975796083 | 11080.2024203917 |
| 103 | 40151 | 46470.4548270823 | -6319.45482708229 |
| 104 | 27634 | 32788.0142699377 | -5154.01426993773 |
| 105 | 76990 | 105661.976596808 | -28671.9765968083 |
| 106 | 37460 | 23890.2191259231 | 13569.7808740769 |
| 107 | 54157 | 80720.1018739564 | -26563.1018739564 |
| 108 | 49862 | 71714.5250573393 | -21852.5250573393 |
| 109 | 84337 | 86947.3707953495 | -2610.37079534955 |
| 110 | 64175 | 87222.1686822804 | -23047.1686822804 |
| 111 | 59382 | 80558.6335812303 | -21176.6335812303 |
| 112 | 119308 | 82503.3335855474 | 36804.6664144526 |
| 113 | 76702 | 113192.264030216 | -36490.2640302162 |
| 114 | 103425 | 78213.4577442111 | 25211.5422557889 |
| 115 | 70344 | 72149.6342106412 | -1805.63421064125 |
| 116 | 43410 | 34305.004935613 | 9104.99506438696 |
| 117 | 104838 | 109447.125560391 | -4609.12556039112 |
| 118 | 62215 | 62849.8750837889 | -634.875083788898 |
| 119 | 69304 | 91929.0362369724 | -22625.0362369724 |
| 120 | 53117 | 50656.1566438828 | 2460.84335611725 |
| 121 | 19764 | 30516.9270469478 | -10752.9270469478 |
| 122 | 86680 | 85992.0327781318 | 687.967221868153 |
| 123 | 84105 | 60942.3640314685 | 23162.6359685314 |
| 124 | 77945 | 84231.9609143899 | -6286.96091438995 |
| 125 | 89113 | 114359.637493455 | -25246.6374934546 |
| 126 | 91005 | 82474.5329149127 | 8530.46708508734 |
| 127 | 40248 | 31792.9191945678 | 8455.08080543223 |
| 128 | 64187 | 50380.1725253319 | 13806.8274746681 |
| 129 | 50857 | 71672.1307252702 | -20815.1307252702 |
| 130 | 56613 | 44898.1186631139 | 11714.8813368861 |
| 131 | 62792 | 83443.8624003474 | -20651.8624003474 |
| 132 | 72535 | 60029.5210771061 | 12505.4789228939 |
| 133 | 98146 | 62970.460241593 | 35175.539758407 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 0.304661971871569 | 0.609323943743138 | 0.695338028128431 |
| 9 | 0.334731600363215 | 0.66946320072643 | 0.665268399636785 |
| 10 | 0.796937631112033 | 0.406124737775935 | 0.203062368887967 |
| 11 | 0.868221098067584 | 0.263557803864832 | 0.131778901932416 |
| 12 | 0.852941630619196 | 0.294116738761608 | 0.147058369380804 |
| 13 | 0.792715040202816 | 0.414569919594368 | 0.207284959797184 |
| 14 | 0.714607961978199 | 0.570784076043602 | 0.285392038021801 |
| 15 | 0.630678970385816 | 0.738642059228368 | 0.369321029614184 |
| 16 | 0.599967946123197 | 0.800064107753607 | 0.400032053876803 |
| 17 | 0.908778939309912 | 0.182442121380176 | 0.0912210606900882 |
| 18 | 0.887964917655718 | 0.224070164688564 | 0.112035082344282 |
| 19 | 0.84941323731076 | 0.301173525378479 | 0.15058676268924 |
| 20 | 0.873442002304554 | 0.253115995390892 | 0.126557997695446 |
| 21 | 0.84054274229772 | 0.31891451540456 | 0.15945725770228 |
| 22 | 0.870165178059685 | 0.25966964388063 | 0.129834821940315 |
| 23 | 0.93666109401204 | 0.126677811975919 | 0.0633389059879596 |
| 24 | 0.92108334086139 | 0.157833318277219 | 0.0789166591386097 |
| 25 | 0.894010989733903 | 0.211978020532194 | 0.105989010266097 |
| 26 | 0.864214596851861 | 0.271570806296277 | 0.135785403148139 |
| 27 | 0.826898321279423 | 0.346203357441153 | 0.173101678720577 |
| 28 | 0.783284664248628 | 0.433430671502745 | 0.216715335751372 |
| 29 | 0.990609867499753 | 0.0187802650004939 | 0.00939013250024696 |
| 30 | 0.995686968130183 | 0.00862606373963331 | 0.00431303186981666 |
| 31 | 0.994592792232936 | 0.0108144155341282 | 0.00540720776706409 |
| 32 | 0.994059641988851 | 0.0118807160222983 | 0.00594035801114917 |
| 33 | 0.994197265593263 | 0.0116054688134742 | 0.00580273440673708 |
| 34 | 0.998796374842761 | 0.00240725031447758 | 0.00120362515723879 |
| 35 | 0.999041348851224 | 0.00191730229755236 | 0.000958651148776178 |
| 36 | 0.998877855230438 | 0.00224428953912296 | 0.00112214476956148 |
| 37 | 0.99968256159682 | 0.000634876806360538 | 0.000317438403180269 |
| 38 | 0.999605495141045 | 0.000789009717910195 | 0.000394504858955098 |
| 39 | 0.999406507186245 | 0.0011869856275106 | 0.000593492813755301 |
| 40 | 0.999114429384121 | 0.00177114123175739 | 0.000885570615878696 |
| 41 | 0.999429298316734 | 0.00114140336653218 | 0.000570701683266091 |
| 42 | 0.999183827244107 | 0.00163234551178598 | 0.000816172755892991 |
| 43 | 0.999104835524082 | 0.00179032895183514 | 0.00089516447591757 |
| 44 | 0.998698966437069 | 0.00260206712586183 | 0.00130103356293092 |
| 45 | 0.998110390494259 | 0.00377921901148123 | 0.00188960950574062 |
| 46 | 0.998139815188249 | 0.00372036962350196 | 0.00186018481175098 |
| 47 | 0.997288259759435 | 0.00542348048113083 | 0.00271174024056542 |
| 48 | 0.996096915737715 | 0.00780616852456941 | 0.00390308426228471 |
| 49 | 0.994520787937828 | 0.0109584241243443 | 0.00547921206217215 |
| 50 | 0.992120285112669 | 0.0157594297746615 | 0.00787971488733073 |
| 51 | 0.999698028497927 | 0.000603943004145541 | 0.000301971502072771 |
| 52 | 0.999897446961569 | 0.000205106076862165 | 0.000102553038431083 |
| 53 | 0.999939157077982 | 0.000121685844035756 | 6.08429220178781e-05 |
| 54 | 0.999927977902147 | 0.000144044195705727 | 7.20220978528633e-05 |
| 55 | 0.999956211417657 | 8.75771646856836e-05 | 4.37885823428418e-05 |
| 56 | 0.999943752677904 | 0.000112494644192374 | 5.62473220961869e-05 |
| 57 | 0.999919330072942 | 0.000161339854115366 | 8.06699270576828e-05 |
| 58 | 0.99987772089118 | 0.000244558217639253 | 0.000122279108819626 |
| 59 | 0.999821287448934 | 0.000357425102132242 | 0.000178712551066121 |
| 60 | 0.999764921473517 | 0.000470157052966202 | 0.000235078526483101 |
| 61 | 0.999773370200747 | 0.000453259598506355 | 0.000226629799253177 |
| 62 | 0.999643573092125 | 0.00071285381574966 | 0.00035642690787483 |
| 63 | 0.999681967533639 | 0.000636064932722864 | 0.000318032466361432 |
| 64 | 0.999530425169467 | 0.000939149661065592 | 0.000469574830532796 |
| 65 | 0.999297628421112 | 0.00140474315777614 | 0.00070237157888807 |
| 66 | 0.999390846557572 | 0.00121830688485608 | 0.000609153442428041 |
| 67 | 0.999105685062419 | 0.00178862987516172 | 0.000894314937580861 |
| 68 | 0.998735776686449 | 0.00252844662710232 | 0.00126422331355116 |
| 69 | 0.998946814574926 | 0.00210637085014786 | 0.00105318542507393 |
| 70 | 0.998480353351016 | 0.00303929329796835 | 0.00151964664898417 |
| 71 | 0.998542493642172 | 0.00291501271565587 | 0.00145750635782794 |
| 72 | 0.998257580868219 | 0.00348483826356113 | 0.00174241913178056 |
| 73 | 0.999341193270245 | 0.00131761345951078 | 0.000658806729755391 |
| 74 | 0.999177965447626 | 0.00164406910474736 | 0.000822034552373679 |
| 75 | 0.99880171811137 | 0.00239656377726087 | 0.00119828188863044 |
| 76 | 0.99830568307958 | 0.00338863384083916 | 0.00169431692041958 |
| 77 | 0.998389760402298 | 0.0032204791954043 | 0.00161023959770215 |
| 78 | 0.998894582481012 | 0.00221083503797625 | 0.00110541751898812 |
| 79 | 0.998907944039406 | 0.00218411192118744 | 0.00109205596059372 |
| 80 | 0.999996575343153 | 6.8493136943119e-06 | 3.42465684715595e-06 |
| 81 | 0.999994562181156 | 1.08756376873043e-05 | 5.43781884365216e-06 |
| 82 | 0.999994028059266 | 1.19438814674362e-05 | 5.97194073371812e-06 |
| 83 | 0.999993653987426 | 1.2692025147439e-05 | 6.34601257371952e-06 |
| 84 | 0.999988849821596 | 2.23003568081682e-05 | 1.11501784040841e-05 |
| 85 | 0.999995787826862 | 8.4243462768551e-06 | 4.21217313842755e-06 |
| 86 | 0.999995712181317 | 8.57563736602272e-06 | 4.28781868301136e-06 |
| 87 | 0.999992781126981 | 1.44377460374819e-05 | 7.21887301874093e-06 |
| 88 | 0.999987508673605 | 2.49826527906493e-05 | 1.24913263953247e-05 |
| 89 | 0.999977120198382 | 4.57596032365328e-05 | 2.28798016182664e-05 |
| 90 | 0.999963631950564 | 7.27360988720638e-05 | 3.63680494360319e-05 |
| 91 | 0.999957489966425 | 8.50200671496709e-05 | 4.25100335748354e-05 |
| 92 | 0.999923906563112 | 0.000152186873775363 | 7.60934368876816e-05 |
| 93 | 0.999895248064559 | 0.000209503870881708 | 0.000104751935440854 |
| 94 | 0.999924265960988 | 0.000151468078023072 | 7.5734039011536e-05 |
| 95 | 0.999874658383058 | 0.000250683233884153 | 0.000125341616942077 |
| 96 | 0.999790609462349 | 0.000418781075301306 | 0.000209390537650653 |
| 97 | 0.999703177729065 | 0.000593644541869061 | 0.00029682227093453 |
| 98 | 0.999659015293708 | 0.000681969412583912 | 0.000340984706291956 |
| 99 | 0.999386881870504 | 0.00122623625899154 | 0.000613118129495772 |
| 100 | 0.99958282952217 | 0.000834340955660632 | 0.000417170477830316 |
| 101 | 0.999314730125624 | 0.0013705397487529 | 0.000685269874376449 |
| 102 | 0.998783430266159 | 0.00243313946768124 | 0.00121656973384062 |
| 103 | 0.997995215565373 | 0.00400956886925364 | 0.00200478443462682 |
| 104 | 0.998495188709463 | 0.003009622581075 | 0.0015048112905375 |
| 105 | 0.99854515683186 | 0.00290968633627914 | 0.00145484316813957 |
| 106 | 0.997407406168461 | 0.00518518766307729 | 0.00259259383153865 |
| 107 | 0.996927688700095 | 0.00614462259981029 | 0.00307231129990514 |
| 108 | 0.996107187965077 | 0.00778562406984676 | 0.00389281203492338 |
| 109 | 0.993699875492497 | 0.0126002490150052 | 0.0063001245075026 |
| 110 | 0.992768650920185 | 0.0144626981596293 | 0.00723134907981465 |
| 111 | 0.990596269505875 | 0.0188074609882501 | 0.00940373049412503 |
| 112 | 0.997832462735026 | 0.00433507452994892 | 0.00216753726497446 |
| 113 | 0.998578286398715 | 0.0028434272025692 | 0.0014217136012846 |
| 114 | 0.9973486843021 | 0.00530263139580079 | 0.00265131569790039 |
| 115 | 0.994591851638228 | 0.0108162967235443 | 0.00540814836177216 |
| 116 | 0.989523827723422 | 0.0209523445531555 | 0.0104761722765777 |
| 117 | 0.980861499297741 | 0.0382770014045174 | 0.0191385007022587 |
| 118 | 0.964756046859683 | 0.0704879062806332 | 0.0352439531403166 |
| 119 | 0.95958682086778 | 0.0808263582644392 | 0.0404131791322196 |
| 120 | 0.926095818343439 | 0.147808363313122 | 0.0739041816565612 |
| 121 | 0.91903512851954 | 0.16192974296092 | 0.0809648714804601 |
| 122 | 0.855361392433349 | 0.289277215133303 | 0.144638607566651 |
| 123 | 0.802478817180869 | 0.395042365638263 | 0.197521182819131 |
| 124 | 0.678465539530373 | 0.643068920939253 | 0.321534460469626 |
| 125 | 0.524916063977007 | 0.950167872045985 | 0.475083936022993 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 77 | 0.652542372881356 | NOK |
| 5% type I error level | 89 | 0.754237288135593 | NOK |
| 10% type I error level | 91 | 0.771186440677966 | NOK |
