| Multiple Linear Regression - Estimated Regression Equation |
| Totaal[t] = + 0.688444434225966 -2.07693967707055e-06time[t] + 0.0080187010469734logins[t] -0.00224377493878955BC[t] + 0.000957897506546962LFM[t] -1.12282735561944Course[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) | 0.688444434225966 | 1.369701 | 0.5026 | 0.616627 | 0.308314 |
| time | -2.07693967707055e-06 | 6e-06 | -0.3496 | 0.727544 | 0.363772 |
| logins | 0.0080187010469734 | 0.010046 | 0.7982 | 0.427163 | 0.213581 |
| BC | -0.00224377493878955 | 0.012499 | -0.1795 | 0.857987 | 0.428994 |
| LFM | 0.000957897506546962 | 0.013272 | 0.0722 | 0.942644 | 0.471322 |
| Course | -1.12282735561944 | 0.950509 | -1.1813 | 0.241032 | 0.120516 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.208262924700074 |
| R-squared | 0.0433734458046289 |
| Adjusted R-squared | -0.0171725386381161 |
| F-TEST (value) | 0.716371964281872 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 79 |
| p-value | 0.613001064885355 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.4830864127874 |
| Sum Squared Residuals | 487.091732536184 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 2 | 0.612234721835599 | 1.3877652781644 |
| 2 | 4 | 0.886005677359695 | 3.1139943226403 |
| 3 | 0 | 0.724278720829898 | -0.724278720829898 |
| 4 | 0 | 0.812145178634487 | -0.812145178634487 |
| 5 | -4 | 0.982906666124744 | -4.98290666612474 |
| 6 | 4 | 0.840452613943908 | 3.15954738605609 |
| 7 | 4 | 0.517329589199795 | 3.48267041080021 |
| 8 | 0 | 1.05514680605817 | -1.05514680605817 |
| 9 | -1 | 0.515030463637 | -1.515030463637 |
| 10 | 0 | 1.04612175005869 | -1.04612175005869 |
| 11 | 1 | 0.498713848356519 | 0.501286151643481 |
| 12 | 0 | 0.902237105725565 | -0.902237105725565 |
| 13 | 3 | 1.07346985036176 | 1.92653014963824 |
| 14 | -1 | 0.688690769005116 | -1.68869076900512 |
| 15 | 4 | 0.573078899722439 | 3.42692110027756 |
| 16 | 3 | 0.739286201249552 | 2.26071379875045 |
| 17 | 1 | 0.669400103239627 | 0.330599896760373 |
| 18 | 0 | -0.0833493792218024 | 0.0833493792218024 |
| 19 | -2 | 1.20673391271056 | -3.20673391271056 |
| 20 | -3 | 0.516892868108608 | -3.51689286810861 |
| 21 | -4 | 0.793143930278879 | -4.79314393027888 |
| 22 | 2 | 0.789853303777614 | 1.21014669622239 |
| 23 | 2 | 0.825034367245623 | 1.17496563275438 |
| 24 | -4 | 0.765258229969861 | -4.76525822996986 |
| 25 | 3 | 0.69415854047963 | 2.30584145952037 |
| 26 | 2 | 0.483904807896489 | 1.51609519210351 |
| 27 | 2 | 0.657308745607693 | 1.34269125439231 |
| 28 | 0 | 0.0671397302655171 | -0.0671397302655171 |
| 29 | 5 | 1.15358304275409 | 3.84641695724591 |
| 30 | -2 | 0.756136980535468 | -2.75613698053547 |
| 31 | 0 | 0.775993905630287 | -0.775993905630287 |
| 32 | -2 | 0.803010372151474 | -2.80301037215147 |
| 33 | -3 | 0.740118750213978 | -3.74011875021398 |
| 34 | 2 | 1.16614576086456 | 0.833854239135438 |
| 35 | 2 | 0.68643428064043 | 1.31356571935957 |
| 36 | 2 | 0.777197655371259 | 1.22280234462874 |
| 37 | 0 | 0.615571658401479 | -0.615571658401479 |
| 38 | 4 | 0.63808347438252 | 3.36191652561748 |
| 39 | 4 | 0.471220884978906 | 3.52877911502109 |
| 40 | 2 | 0.751879663274038 | 1.24812033672596 |
| 41 | 2 | 0.755982904750627 | 1.24401709524937 |
| 42 | -4 | 0.73824962695811 | -4.73824962695811 |
| 43 | 3 | -0.372789561648546 | 3.37278956164855 |
| 44 | 3 | 0.930492003806099 | 2.0695079961939 |
| 45 | 2 | 0.650259314086599 | 1.3497406859134 |
| 46 | -1 | 0.658284036507612 | -1.65828403650761 |
| 47 | -3 | 0.556908118553562 | -3.55690811855356 |
| 48 | 0 | -0.388014484221535 | 0.388014484221535 |
| 49 | 1 | 0.891224271975594 | 0.108775728024406 |
| 50 | -3 | -0.342277713279983 | -2.65772228672002 |
| 51 | 3 | 0.959390385332527 | 2.04060961466747 |
| 52 | 0 | -0.357500262574821 | 0.357500262574821 |
| 53 | 0 | 0.558961209719106 | -0.558961209719106 |
| 54 | 0 | 0.734646051489287 | -0.734646051489287 |
| 55 | 3 | 0.676609605143373 | 2.32339039485663 |
| 56 | -3 | 0.537114235038812 | -3.53711423503881 |
| 57 | 0 | 0.832160393916623 | -0.832160393916623 |
| 58 | -4 | 0.688648700545418 | -4.68864870054542 |
| 59 | 2 | 0.978061379828202 | 1.0219386201718 |
| 60 | -1 | 0.79707623490841 | -1.79707623490841 |
| 61 | 3 | 0.777091362237683 | 2.22290863776232 |
| 62 | 2 | 2.16557376951274 | -0.165573769512736 |
| 63 | 5 | 0.994657356681514 | 4.00534264331849 |
| 64 | 2 | 0.77018488438282 | 1.22981511561718 |
| 65 | -2 | 0.663768629331003 | -2.663768629331 |
| 66 | 0 | 0.668261412197676 | -0.668261412197676 |
| 67 | 3 | 0.740824707003519 | 2.25917529299648 |
| 68 | -2 | -0.373309341689328 | -1.62669065831067 |
| 69 | 0 | 0.72058469725029 | -0.72058469725029 |
| 70 | 6 | 0.836981819003567 | 5.16301818099643 |
| 71 | -3 | 0.787549846449511 | -3.78754984644951 |
| 72 | 3 | 0.726258942773705 | 2.2737410572263 |
| 73 | 0 | -0.305155744827892 | 0.305155744827892 |
| 74 | -2 | -0.391846896122504 | -1.6081531038775 |
| 75 | 1 | -0.417871041623618 | 1.41787104162362 |
| 76 | 0 | -0.165596369522479 | 0.165596369522479 |
| 77 | 2 | -0.407933528727974 | 2.40793352872797 |
| 78 | 2 | -0.344210282956838 | 2.34421028295684 |
| 79 | -3 | -0.283515593761956 | -2.71648440623804 |
| 80 | -2 | -0.358428467314107 | -1.64157153268589 |
| 81 | 1 | -0.270924295804616 | 1.27092429580462 |
| 82 | -4 | -0.122259717732288 | -3.87774028226771 |
| 83 | 0 | -0.448791171130892 | 0.448791171130892 |
| 84 | 1 | -0.206879335063349 | 1.20687933506335 |
| 85 | 0 | -0.426486543040987 | 0.426486543040987 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.746850128060873 | 0.506299743878254 | 0.253149871939127 |
| 10 | 0.829134953629004 | 0.341730092741991 | 0.170865046370996 |
| 11 | 0.731980063786507 | 0.536039872426987 | 0.268019936213493 |
| 12 | 0.664167378998767 | 0.671665242002467 | 0.335832621001234 |
| 13 | 0.690249698973434 | 0.619500602053132 | 0.309750301026566 |
| 14 | 0.64632581818839 | 0.70734836362322 | 0.35367418181161 |
| 15 | 0.676902149449886 | 0.646195701100228 | 0.323097850550114 |
| 16 | 0.645158227623599 | 0.709683544752801 | 0.354841772376401 |
| 17 | 0.588609065427204 | 0.822781869145593 | 0.411390934572796 |
| 18 | 0.496426852822848 | 0.992853705645697 | 0.503573147177152 |
| 19 | 0.49409201830918 | 0.98818403661836 | 0.50590798169082 |
| 20 | 0.667514243949937 | 0.664971512100127 | 0.332485756050063 |
| 21 | 0.808789804762069 | 0.382420390475861 | 0.191210195237931 |
| 22 | 0.767027149146738 | 0.465945701706525 | 0.232972850853262 |
| 23 | 0.713568033286031 | 0.572863933427938 | 0.286431966713969 |
| 24 | 0.807900162612907 | 0.384199674774185 | 0.192099837387093 |
| 25 | 0.800103413026115 | 0.39979317394777 | 0.199896586973885 |
| 26 | 0.761142144838225 | 0.477715710323549 | 0.238857855161775 |
| 27 | 0.730191661760587 | 0.539616676478826 | 0.269808338239413 |
| 28 | 0.671207881315807 | 0.657584237368385 | 0.328792118684193 |
| 29 | 0.768319130446385 | 0.463361739107229 | 0.231680869553615 |
| 30 | 0.774151329808439 | 0.451697340383121 | 0.225848670191561 |
| 31 | 0.725393889135728 | 0.549212221728544 | 0.274606110864272 |
| 32 | 0.721771341336394 | 0.556457317327212 | 0.278228658663606 |
| 33 | 0.762039116843799 | 0.475921766312403 | 0.237960883156201 |
| 34 | 0.726660639389777 | 0.546678721220446 | 0.273339360610223 |
| 35 | 0.70042950646082 | 0.59914098707836 | 0.29957049353918 |
| 36 | 0.668368263624346 | 0.663263472751308 | 0.331631736375654 |
| 37 | 0.609055303264061 | 0.781889393471879 | 0.390944696735939 |
| 38 | 0.645498635519941 | 0.709002728960118 | 0.354501364480059 |
| 39 | 0.692404462987497 | 0.615191074025006 | 0.307595537012503 |
| 40 | 0.647458020509778 | 0.705083958980445 | 0.352541979490222 |
| 41 | 0.598789248109282 | 0.802421503781436 | 0.401210751890718 |
| 42 | 0.754477200305796 | 0.491045599388407 | 0.245522799694204 |
| 43 | 0.789253972312452 | 0.421492055375095 | 0.210746027687548 |
| 44 | 0.765169960030306 | 0.469660079939389 | 0.234830039969694 |
| 45 | 0.732127307371557 | 0.535745385256887 | 0.267872692628443 |
| 46 | 0.701839378318769 | 0.596321243362462 | 0.298160621681231 |
| 47 | 0.778830166910069 | 0.442339666179862 | 0.221169833089931 |
| 48 | 0.731782975256815 | 0.536434049486369 | 0.268217024743185 |
| 49 | 0.673784328947433 | 0.652431342105133 | 0.326215671052567 |
| 50 | 0.675971243786947 | 0.648057512426106 | 0.324028756213053 |
| 51 | 0.659672406916157 | 0.680655186167686 | 0.340327593083843 |
| 52 | 0.605591148432505 | 0.78881770313499 | 0.394408851567495 |
| 53 | 0.557086962061387 | 0.885826075877226 | 0.442913037938613 |
| 54 | 0.496470458093385 | 0.99294091618677 | 0.503529541906615 |
| 55 | 0.493514522517855 | 0.98702904503571 | 0.506485477482145 |
| 56 | 0.596185129887147 | 0.807629740225705 | 0.403814870112853 |
| 57 | 0.530415652256484 | 0.939168695487032 | 0.469584347743516 |
| 58 | 0.766535894479874 | 0.466928211040251 | 0.233464105520126 |
| 59 | 0.725402280329578 | 0.549195439340845 | 0.274597719670423 |
| 60 | 0.830386722258955 | 0.33922655548209 | 0.169613277741045 |
| 61 | 0.823390928848264 | 0.353218142303471 | 0.176609071151736 |
| 62 | 0.767109642733315 | 0.465780714533371 | 0.232890357266685 |
| 63 | 0.821444365254918 | 0.357111269490164 | 0.178555634745082 |
| 64 | 0.803248037265427 | 0.393503925469146 | 0.196751962734573 |
| 65 | 0.821601680803457 | 0.356796638393086 | 0.178398319196543 |
| 66 | 0.757710577961488 | 0.484578844077024 | 0.242289422038512 |
| 67 | 0.711415066752025 | 0.577169866495951 | 0.288584933247975 |
| 68 | 0.678644079890387 | 0.642711840219227 | 0.321355920109613 |
| 69 | 0.606348987474353 | 0.787302025051295 | 0.393651012525648 |
| 70 | 0.815614007796051 | 0.368771984407899 | 0.184385992203949 |
| 71 | 0.770204813635541 | 0.459590372728918 | 0.229795186364459 |
| 72 | 0.67843686053771 | 0.64312627892458 | 0.32156313946229 |
| 73 | 0.560479694847505 | 0.879040610304991 | 0.439520305152495 |
| 74 | 0.462857673510374 | 0.925715347020748 | 0.537142326489626 |
| 75 | 0.327924606494947 | 0.655849212989894 | 0.672075393505053 |
| 76 | 0.231654192928784 | 0.463308385857569 | 0.768345807071216 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 0 | 0 | OK |
| 5% type I error level | 0 | 0 | OK |
| 10% type I error level | 0 | 0 | OK |
