| Multiple Linear Regression - Estimated Regression Equation |
| Time_in_RFC[t] = -1348.02378656639 + 271.774364173129Geslacht[t] + 787.37589852243Logins[t] + 1157.72076328522Blogged_computations[t] + 1362.07134389667Reviewed_compendiums[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) | -1348.02378656639 | 6989.896839 | -0.1929 | 0.847355 | 0.423678 |
| Geslacht | 271.774364173129 | 5207.332031 | 0.0522 | 0.958452 | 0.479226 |
| Logins | 787.37589852243 | 113.51367 | 6.9364 | 0 | 0 |
| Blogged_computations | 1157.72076328522 | 197.577527 | 5.8596 | 0 | 0 |
| Reviewed_compendiums | 1362.07134389667 | 409.973115 | 3.3223 | 0.001141 | 0.00057 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.865184120030674 |
| R-squared | 0.748543561553252 |
| Adjusted R-squared | 0.741307405051187 |
| F-TEST (value) | 103.444910476946 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 139 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 31089.3614649696 |
| Sum Squared Residuals | 134350227085.635 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 129988 | 110101.123449595 | 19886.8765504049 |
| 2 | 130358 | 102019.869396547 | 28338.1306034529 |
| 3 | 7215 | 12824.7423868374 | -5609.74238683735 |
| 4 | 112914 | 153331.964817238 | -40417.9648172381 |
| 5 | 219904 | 226982.03211801 | -7078.03211800956 |
| 6 | 402036 | 333198.867497956 | 68837.1325020441 |
| 7 | 117604 | 107007.569279318 | 10596.430720682 |
| 8 | 131822 | 138062.638244229 | -6240.63824422926 |
| 9 | 99729 | 118330.447096338 | -18601.4470963383 |
| 10 | 256310 | 173830.620115533 | 82479.3798844674 |
| 11 | 113066 | 138380.152617849 | -25314.1526178487 |
| 12 | 165392 | 165012.766979722 | 379.233020278156 |
| 13 | 78240 | 133940.266243741 | -55700.2662437407 |
| 14 | 152673 | 150327.717892735 | 2345.28210726506 |
| 15 | 134368 | 107438.12834821 | 26929.8716517896 |
| 16 | 125769 | 131698.392822878 | -5929.39282287838 |
| 17 | 123467 | 158356.942961912 | -34889.9429619123 |
| 18 | 56232 | 52275.273934921 | 3956.72606507896 |
| 19 | 108458 | 157150.482354246 | -48692.4823542464 |
| 20 | 22762 | 46786.446712484 | -24024.446712484 |
| 21 | 48633 | 75613.302166672 | -26980.302166672 |
| 22 | 182081 | 189924.600848967 | -7843.60084896711 |
| 23 | 140857 | 113004.614323118 | 27852.3856768818 |
| 24 | 93773 | 119726.796867204 | -25953.7968672038 |
| 25 | 133398 | 146556.832684274 | -13158.8326842741 |
| 26 | 113933 | 78121.6199141051 | 35811.3800858949 |
| 27 | 153851 | 194791.113074754 | -40940.1130747538 |
| 28 | 140711 | 164420.465629724 | -23709.4656297236 |
| 29 | 303844 | 180414.942480289 | 123429.057519711 |
| 30 | 163810 | 100623.519625682 | 63186.4803743184 |
| 31 | 123344 | 108055.257959536 | 15288.7420404639 |
| 32 | 157640 | 115644.822061288 | 41995.1779387121 |
| 33 | 103274 | 143678.157294807 | -40404.157294807 |
| 34 | 193500 | 193081.488156043 | 418.511843956967 |
| 35 | 178768 | 120156.396999274 | 58611.6030007257 |
| 36 | 0 | -560.647888043939 | 560.647888043939 |
| 37 | 181412 | 132260.506392671 | 49151.4936073295 |
| 38 | 92342 | 105939.130207264 | -13597.1302072639 |
| 39 | 100023 | 106595.575051872 | -6572.57505187157 |
| 40 | 178277 | 162714.931357775 | 15562.0686422246 |
| 41 | 145067 | 141091.874786343 | 3975.12521365733 |
| 42 | 114146 | 111570.867192614 | 2575.13280738553 |
| 43 | 86039 | 73976.1506151074 | 12062.8493848926 |
| 44 | 125481 | 128118.330159896 | -2637.33015989635 |
| 45 | 95535 | 112898.821465825 | -17363.8214658251 |
| 46 | 129221 | 135251.399415595 | -6030.39941559508 |
| 47 | 61554 | 80075.8440289885 | -18521.8440289885 |
| 48 | 168048 | 143713.381881326 | 24334.6181186737 |
| 49 | 159121 | 143172.790729367 | 15948.2092706332 |
| 50 | 129362 | 127272.8065099 | 2089.19349010048 |
| 51 | 48188 | 64828.4944613842 | -16640.4944613842 |
| 52 | 95461 | 121879.537175846 | -26418.5371758464 |
| 53 | 229864 | 146566.108716361 | 83297.8912836386 |
| 54 | 191094 | 142020.268128678 | 49073.7318713225 |
| 55 | 161082 | 133741.885851722 | 27340.1141482784 |
| 56 | 111388 | 89799.5835979371 | 21588.4164020629 |
| 57 | 172614 | 132102.841981056 | 40511.1580189441 |
| 58 | 63205 | 73367.1767427643 | -10162.1767427643 |
| 59 | 109102 | 126033.174991098 | -16931.1749910981 |
| 60 | 137303 | 135916.174132739 | 1386.82586726052 |
| 61 | 125304 | 133363.211114422 | -8059.21111442212 |
| 62 | 88620 | 113029.603940728 | -24409.6039407284 |
| 63 | 95808 | 94741.5562485331 | 1066.4437514669 |
| 64 | 83419 | 88974.6362062224 | -5555.63620622238 |
| 65 | 101723 | 63352.313164929 | 38370.686835071 |
| 66 | 94982 | 111278.342436605 | -16296.3424366052 |
| 67 | 143566 | 144476.714321789 | -910.714321789069 |
| 68 | 113325 | 155856.942309745 | -42531.9423097447 |
| 69 | 81518 | 89498.5676131084 | -7980.56761310841 |
| 70 | 31970 | 45126.4910936994 | -13156.4910936994 |
| 71 | 192268 | 161026.362839461 | 31241.6371605388 |
| 72 | 91261 | 92692.8522798226 | -1431.85227982261 |
| 73 | 80820 | 136589.588657715 | -55769.5886577149 |
| 74 | 85829 | 112731.881022123 | -26902.8810221232 |
| 75 | 116322 | 143080.364550924 | -26758.3645509236 |
| 76 | 56544 | 58171.5629277413 | -1627.56292774131 |
| 77 | 118838 | 133848.786224848 | -15010.786224848 |
| 78 | 118781 | 150923.150952674 | -32142.150952674 |
| 79 | 60138 | 64160.4266780162 | -4022.42667801621 |
| 80 | 73422 | 124237.42564564 | -50815.4256456396 |
| 81 | 67751 | 129855.944531152 | -62104.9445311517 |
| 82 | 225857 | 117376.130754114 | 108480.869245886 |
| 83 | 51185 | 72847.4973389237 | -21662.4973389237 |
| 84 | 97181 | 100735.456805121 | -3554.45680512117 |
| 85 | 45100 | 74920.2447656938 | -29820.2447656938 |
| 86 | 115801 | 99793.5482049249 | 16007.4517950751 |
| 87 | 186310 | 246251.596874972 | -59941.5968749722 |
| 88 | 71960 | 141482.982820213 | -69522.9828202129 |
| 89 | 80105 | 100938.861226182 | -20833.8612261821 |
| 90 | 107728 | 90426.0020186214 | 17301.9979813786 |
| 91 | 98707 | 99070.4643800234 | -363.464380023396 |
| 92 | 136234 | 158053.075721161 | -21819.0757211606 |
| 93 | 136781 | 108719.247873413 | 28061.7521265873 |
| 94 | 105863 | 83997.4517463784 | 21865.5482536216 |
| 95 | 49164 | 68083.9394917785 | -18919.9394917784 |
| 96 | 189493 | 164088.489838692 | 25404.5101613078 |
| 97 | 169406 | 170274.469035604 | -868.469035603842 |
| 98 | 19349 | 24512.9282623073 | -5163.92826230728 |
| 99 | 160819 | 124427.302031568 | 36391.6979684321 |
| 100 | 109510 | 111481.746857666 | -1971.74685766614 |
| 101 | 43803 | 33046.4251583628 | 10756.5748416372 |
| 102 | 47062 | 78308.3518128212 | -31246.3518128212 |
| 103 | 110845 | 114269.222682259 | -3424.22268225852 |
| 104 | 92517 | 98708.4621650686 | -6191.46216506863 |
| 105 | 58660 | 70241.7166067343 | -11581.7166067343 |
| 106 | 27676 | 40354.6033740174 | -12678.6033740174 |
| 107 | 98550 | 117010.971274676 | -18460.9712746759 |
| 108 | 43646 | 35596.2436894681 | 8049.75631053191 |
| 109 | 0 | -1348.02378656637 | 1348.02378656637 |
| 110 | 75566 | 104532.277790743 | -28966.2777907428 |
| 111 | 57359 | 80440.2059278876 | -23081.2059278876 |
| 112 | 104330 | 102726.280699104 | 1603.71930089615 |
| 113 | 70369 | 116631.350377826 | -46262.3503778258 |
| 114 | 65494 | 99474.1415122044 | -33980.1415122044 |
| 115 | 3616 | 2588.85570604578 | 1027.14429395422 |
| 116 | 0 | -1076.24942239323 | 1076.24942239323 |
| 117 | 143931 | 92345.150125997 | 51585.849874003 |
| 118 | 117946 | 161556.26443494 | -43610.2644349397 |
| 119 | 137332 | 132455.593718466 | 4876.40628153403 |
| 120 | 84336 | 79662.1060614524 | 4673.89393854756 |
| 121 | 43410 | 23350.0093364261 | 20059.9906635739 |
| 122 | 137585 | 151725.00104588 | -14140.0010458796 |
| 123 | 79015 | 79495.1528404793 | -480.152840479279 |
| 124 | 101354 | 128647.285595824 | -27293.2855958243 |
| 125 | 57586 | 48662.0531380748 | 8923.94686192517 |
| 126 | 19764 | 22673.6116805214 | -2909.61168052143 |
| 127 | 105757 | 102410.951875875 | 3346.04812412534 |
| 128 | 103651 | 76291.5921416778 | 27359.4078583222 |
| 129 | 113402 | 110656.960822234 | 2745.03917776588 |
| 130 | 11796 | 9620.22275121406 | 2175.77724878594 |
| 131 | 7627 | 5738.3593001355 | 1888.6406998645 |
| 132 | 121085 | 94234.2845867205 | 26850.7154132795 |
| 133 | 6836 | 2647.94961707073 | 4188.05038292927 |
| 134 | 139563 | 111281.635502829 | 28281.3644971712 |
| 135 | 5118 | 6802.707725427 | -1684.707725427 |
| 136 | 40248 | 26231.8164358341 | 14016.1835641659 |
| 137 | 0 | -1348.02378656637 | 1348.02378656637 |
| 138 | 95079 | 90357.4579419552 | 4721.54205804484 |
| 139 | 80763 | 83573.9959364544 | -2810.99593645439 |
| 140 | 7131 | 2073.25417169649 | 5057.74582830351 |
| 141 | 4194 | 7584.8854613535 | -3390.8854613535 |
| 142 | 60378 | 52196.3757916106 | 8181.62420838945 |
| 143 | 109173 | 115222.592864932 | -6049.59286493228 |
| 144 | 83484 | 57082.3734638511 | 26401.6265361489 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 8 | 0.668725451618545 | 0.66254909676291 | 0.331274548381455 |
| 9 | 0.548900900048237 | 0.902198199903527 | 0.451099099951763 |
| 10 | 0.931691903729426 | 0.136616192541148 | 0.0683080962705739 |
| 11 | 0.917377405912404 | 0.165245188175191 | 0.0826225940875955 |
| 12 | 0.867757778182718 | 0.264484443634564 | 0.132242221817282 |
| 13 | 0.96131679952638 | 0.0773664009472399 | 0.03868320047362 |
| 14 | 0.937604154584781 | 0.124791690830438 | 0.0623958454152192 |
| 15 | 0.922778012036075 | 0.154443975927849 | 0.0772219879639246 |
| 16 | 0.891767874885546 | 0.216464250228907 | 0.108232125114454 |
| 17 | 0.897592380988185 | 0.20481523802363 | 0.102407619011815 |
| 18 | 0.858216257497327 | 0.283567485005345 | 0.141783742502673 |
| 19 | 0.896797505034543 | 0.206404989930914 | 0.103202494965457 |
| 20 | 0.864155183366017 | 0.271689633267966 | 0.135844816633983 |
| 21 | 0.83297526723992 | 0.33404946552016 | 0.16702473276008 |
| 22 | 0.787337922829174 | 0.425324154341653 | 0.212662077170826 |
| 23 | 0.797514270640803 | 0.404971458718393 | 0.202485729359197 |
| 24 | 0.75348719106642 | 0.49302561786716 | 0.24651280893358 |
| 25 | 0.701853802577485 | 0.59629239484503 | 0.298146197422515 |
| 26 | 0.765713997749448 | 0.468572004501105 | 0.234286002250552 |
| 27 | 0.788992474627363 | 0.422015050745273 | 0.211007525372637 |
| 28 | 0.770308308023857 | 0.459383383952286 | 0.229691691976143 |
| 29 | 0.996835350192999 | 0.00632929961400172 | 0.00316464980700086 |
| 30 | 0.998945018926442 | 0.00210996214711626 | 0.00105498107355813 |
| 31 | 0.998446813426668 | 0.00310637314666486 | 0.00155318657333243 |
| 32 | 0.998717771688482 | 0.00256445662303578 | 0.00128222831151789 |
| 33 | 0.999140829895572 | 0.00171834020885601 | 0.000859170104428007 |
| 34 | 0.998730476204803 | 0.00253904759039343 | 0.00126952379519672 |
| 35 | 0.999472467301384 | 0.00105506539723152 | 0.000527532698615761 |
| 36 | 0.999151231070306 | 0.00169753785938895 | 0.000848768929694473 |
| 37 | 0.999501939472228 | 0.000996121055543619 | 0.00049806052777181 |
| 38 | 0.999302403992568 | 0.0013951920148647 | 0.000697596007432351 |
| 39 | 0.998917869331246 | 0.00216426133750836 | 0.00108213066875418 |
| 40 | 0.99847839329565 | 0.00304321340869947 | 0.00152160670434973 |
| 41 | 0.997783104869492 | 0.00443379026101668 | 0.00221689513050834 |
| 42 | 0.996688680182723 | 0.00662263963455455 | 0.00331131981727728 |
| 43 | 0.995358512604173 | 0.0092829747916549 | 0.00464148739582745 |
| 44 | 0.993310740041112 | 0.0133785199177755 | 0.00668925995888773 |
| 45 | 0.991470058322375 | 0.0170598833552492 | 0.0085299416776246 |
| 46 | 0.988063184429998 | 0.0238736311400038 | 0.0119368155700019 |
| 47 | 0.985308987592339 | 0.0293820248153221 | 0.014691012407661 |
| 48 | 0.983711283752529 | 0.0325774324949409 | 0.0162887162474705 |
| 49 | 0.979820846147721 | 0.0403583077045572 | 0.0201791538522786 |
| 50 | 0.973049780517739 | 0.0539004389645228 | 0.0269502194822614 |
| 51 | 0.966868724404191 | 0.0662625511916178 | 0.0331312755958089 |
| 52 | 0.964214419560702 | 0.0715711608785961 | 0.035785580439298 |
| 53 | 0.995337558928873 | 0.00932488214225457 | 0.00466244107112729 |
| 54 | 0.997695271508473 | 0.00460945698305392 | 0.00230472849152696 |
| 55 | 0.997623809620484 | 0.00475238075903158 | 0.00237619037951579 |
| 56 | 0.997487381898532 | 0.00502523620293636 | 0.00251261810146818 |
| 57 | 0.998338463177808 | 0.00332307364438429 | 0.00166153682219214 |
| 58 | 0.997706772413184 | 0.00458645517363297 | 0.00229322758681649 |
| 59 | 0.99696212095726 | 0.0060757580854793 | 0.00303787904273965 |
| 60 | 0.995613719539083 | 0.00877256092183411 | 0.00438628046091705 |
| 61 | 0.993953695258471 | 0.0120926094830583 | 0.00604630474152915 |
| 62 | 0.992704001046302 | 0.0145919979073956 | 0.00729599895369781 |
| 63 | 0.989942591511286 | 0.0201148169774282 | 0.0100574084887141 |
| 64 | 0.986310493464973 | 0.0273790130700547 | 0.0136895065350274 |
| 65 | 0.988304286558211 | 0.0233914268835772 | 0.0116957134417886 |
| 66 | 0.985834308970128 | 0.0283313820597435 | 0.0141656910298717 |
| 67 | 0.981749773035293 | 0.036500453929414 | 0.018250226964707 |
| 68 | 0.984646862464891 | 0.0307062750702188 | 0.0153531375351094 |
| 69 | 0.979711781040336 | 0.0405764379193286 | 0.0202882189596643 |
| 70 | 0.976560125633152 | 0.0468797487336969 | 0.0234398743668485 |
| 71 | 0.985263489555272 | 0.0294730208894568 | 0.0147365104447284 |
| 72 | 0.980609905965171 | 0.0387801880696579 | 0.0193900940348289 |
| 73 | 0.988952884303254 | 0.0220942313934923 | 0.0110471156967461 |
| 74 | 0.987082247050807 | 0.0258355058983856 | 0.0129177529491928 |
| 75 | 0.985995110059807 | 0.0280097798803852 | 0.0140048899401926 |
| 76 | 0.983530501861457 | 0.0329389962770861 | 0.0164694981385431 |
| 77 | 0.97895205319839 | 0.0420958936032191 | 0.0210479468016096 |
| 78 | 0.976707838191449 | 0.0465843236171021 | 0.0232921618085511 |
| 79 | 0.971544374916477 | 0.0569112501670452 | 0.0284556250835226 |
| 80 | 0.982919687198837 | 0.0341606256023263 | 0.0170803128011631 |
| 81 | 0.992176054775979 | 0.0156478904480422 | 0.00782394522402112 |
| 82 | 0.999980794620397 | 3.84107592063238e-05 | 1.92053796031619e-05 |
| 83 | 0.999980098533715 | 3.98029325696213e-05 | 1.99014662848107e-05 |
| 84 | 0.999965613299465 | 6.87734010700798e-05 | 3.43867005350399e-05 |
| 85 | 0.999973316490388 | 5.33670192234672e-05 | 2.66835096117336e-05 |
| 86 | 0.999961192886865 | 7.76142262696085e-05 | 3.88071131348042e-05 |
| 87 | 0.999976475135887 | 4.70497282263556e-05 | 2.35248641131778e-05 |
| 88 | 0.999999449512391 | 1.10097521812965e-06 | 5.50487609064824e-07 |
| 89 | 0.999999361136454 | 1.27772709163403e-06 | 6.38863545817014e-07 |
| 90 | 0.999998998867341 | 2.00226531845778e-06 | 1.00113265922889e-06 |
| 91 | 0.999998063219632 | 3.87356073496304e-06 | 1.93678036748152e-06 |
| 92 | 0.999997007966468 | 5.98406706449468e-06 | 2.99203353224734e-06 |
| 93 | 0.999997349772531 | 5.30045493870656e-06 | 2.65022746935328e-06 |
| 94 | 0.999996446089184 | 7.10782163165392e-06 | 3.55391081582696e-06 |
| 95 | 0.99999534248245 | 9.31503510042189e-06 | 4.65751755021094e-06 |
| 96 | 0.999994526699151 | 1.0946601697707e-05 | 5.4733008488535e-06 |
| 97 | 0.999995352945182 | 9.29410963533553e-06 | 4.64705481766776e-06 |
| 98 | 0.99999090592359 | 1.81881528199083e-05 | 9.09407640995415e-06 |
| 99 | 0.999993013065313 | 1.39738693745656e-05 | 6.98693468728278e-06 |
| 100 | 0.999986328887255 | 2.73422254889854e-05 | 1.36711127444927e-05 |
| 101 | 0.999976643666023 | 4.67126679545439e-05 | 2.33563339772719e-05 |
| 102 | 0.999978445101323 | 4.31097973539701e-05 | 2.15548986769851e-05 |
| 103 | 0.999959308970395 | 8.13820592108553e-05 | 4.06910296054276e-05 |
| 104 | 0.999924970562868 | 0.000150058874264709 | 7.50294371323547e-05 |
| 105 | 0.999873986934074 | 0.000252026131851003 | 0.000126013065925502 |
| 106 | 0.99988430076389 | 0.000231398472219969 | 0.000115699236109984 |
| 107 | 0.999817337325871 | 0.000365325348257399 | 0.000182662674128699 |
| 108 | 0.999673721163816 | 0.000652557672367465 | 0.000326278836183733 |
| 109 | 0.999419523185827 | 0.00116095362834687 | 0.000580476814173435 |
| 110 | 0.999478343178829 | 0.00104331364234153 | 0.000521656821170763 |
| 111 | 0.99943129342008 | 0.00113741315984053 | 0.000568706579920264 |
| 112 | 0.999024941731578 | 0.00195011653684442 | 0.000975058268422212 |
| 113 | 0.99969851876431 | 0.00060296247138033 | 0.000301481235690165 |
| 114 | 0.999823098818074 | 0.000353802363852964 | 0.000176901181926482 |
| 115 | 0.999661868657698 | 0.000676262684603764 | 0.000338131342301882 |
| 116 | 0.999389145765064 | 0.0012217084698725 | 0.000610854234936251 |
| 117 | 0.999958877340873 | 8.22453182531214e-05 | 4.11226591265607e-05 |
| 118 | 0.999991882918512 | 1.62341629765822e-05 | 8.11708148829109e-06 |
| 119 | 0.99998300974814 | 3.39805037209317e-05 | 1.69902518604658e-05 |
| 120 | 0.999958255895688 | 8.34882086234188e-05 | 4.17441043117094e-05 |
| 121 | 0.999935871360084 | 0.000128257279831433 | 6.41286399157165e-05 |
| 122 | 0.999912109492805 | 0.00017578101438972 | 8.78905071948601e-05 |
| 123 | 0.999789056212763 | 0.000421887574473791 | 0.000210943787236895 |
| 124 | 0.999971872224253 | 5.62555514946385e-05 | 2.81277757473193e-05 |
| 125 | 0.999920078232164 | 0.000159843535671759 | 7.99217678358794e-05 |
| 126 | 0.999806691416204 | 0.000386617167591009 | 0.000193308583795504 |
| 127 | 0.999565259154063 | 0.000869481691873812 | 0.000434740845936906 |
| 128 | 0.999628381635529 | 0.00074323672894122 | 0.00037161836447061 |
| 129 | 0.999041867727269 | 0.00191626454546155 | 0.000958132272730776 |
| 130 | 0.997368482918024 | 0.00526303416395214 | 0.00263151708197607 |
| 131 | 0.993157705023839 | 0.013684589952321 | 0.00684229497616052 |
| 132 | 0.991155952625867 | 0.0176880947482655 | 0.00884404737413276 |
| 133 | 0.977208590366428 | 0.0455828192671441 | 0.022791409633572 |
| 134 | 0.998057157765262 | 0.00388568446947612 | 0.00194284223473806 |
| 135 | 0.991219644358084 | 0.0175607112838316 | 0.00878035564191582 |
| 136 | 0.989569300420023 | 0.0208613991599544 | 0.0104306995799772 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 73 | 0.565891472868217 | NOK |
| 5% type I error level | 104 | 0.806201550387597 | NOK |
| 10% type I error level | 109 | 0.844961240310077 | NOK |
