| Multiple Linear Regression - Estimated Regression Equation |
| PE[t] = + 7.09326325421717 + 0.185102752444153Gender[t] -0.543845428355612Browser[t] + 0.0973882515518828CM[t] -0.160262217439695D[t] + 0.679548443610309PC[t] + 0.104347613234137PS[t] -0.0980134280835422O[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) | 7.09326325421717 | 2.645068 | 2.6817 | 0.008433 | 0.004216 |
| Gender | 0.185102752444153 | 0.541857 | 0.3416 | 0.733286 | 0.366643 |
| Browser | -0.543845428355612 | 0.934059 | -0.5822 | 0.561576 | 0.280788 |
| CM | 0.0973882515518828 | 0.05724 | 1.7014 | 0.09164 | 0.04582 |
| D | -0.160262217439695 | 0.10618 | -1.5094 | 0.134025 | 0.067013 |
| PC | 0.679548443610309 | 0.099789 | 6.8098 | 0 | 0 |
| PS | 0.104347613234137 | 0.072618 | 1.4369 | 0.153524 | 0.076762 |
| O | -0.0980134280835422 | 0.079632 | -1.2308 | 0.220965 | 0.110482 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.66039852380112 |
| R-squared | 0.436126210238699 |
| Adjusted R-squared | 0.400884098378618 |
| F-TEST (value) | 12.3751440313853 |
| F-TEST (DF numerator) | 7 |
| F-TEST (DF denominator) | 112 |
| p-value | 1.18084431122156e-11 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.73149971992307 |
| Sum Squared Residuals | 835.642160633256 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 11 | 14.7536397297219 | -3.75363972972194 |
| 2 | 7 | 13.1971115090806 | -6.19711150908056 |
| 3 | 17 | 14.0888732222232 | 2.91112677777682 |
| 4 | 10 | 11.5439430989287 | -1.54394309892871 |
| 5 | 12 | 11.4440530390950 | 0.555946960905048 |
| 6 | 11 | 9.95621183815252 | 1.04378816184748 |
| 7 | 11 | 14.3465942056434 | -3.34659420564335 |
| 8 | 12 | 10.2977667396190 | 1.70223326038095 |
| 9 | 13 | 11.1250397439516 | 1.87496025604844 |
| 10 | 14 | 14.4908024856061 | -0.490802485606128 |
| 11 | 16 | 14.7468688976338 | 1.25313110236621 |
| 12 | 10 | 12.2001104363388 | -2.20011043633879 |
| 13 | 11 | 11.9274444427328 | -0.92744444273285 |
| 14 | 15 | 9.86823132014912 | 5.13176867985088 |
| 15 | 9 | 13.7886288259109 | -4.78862882591095 |
| 16 | 17 | 11.9152494397998 | 5.08475056020018 |
| 17 | 11 | 13.4177192157347 | -2.41771921573467 |
| 18 | 18 | 15.0024870955499 | 2.99751290445011 |
| 19 | 14 | 16.0957663325662 | -2.09576633256623 |
| 20 | 10 | 12.3851183209897 | -2.38511832098967 |
| 21 | 11 | 11.4158740407367 | -0.415874040736717 |
| 22 | 15 | 13.1742436864912 | 1.82575631350881 |
| 23 | 15 | 11.5735843708964 | 3.42641562910362 |
| 24 | 13 | 12.8984295214302 | 0.101570478569786 |
| 25 | 16 | 13.6155692672363 | 2.38443073276368 |
| 26 | 13 | 11.0663902046219 | 1.93360979537814 |
| 27 | 9 | 11.1277052668024 | -2.12770526680235 |
| 28 | 18 | 17.8385221559152 | 0.161477844084843 |
| 29 | 18 | 12.1633120231558 | 5.83668797684423 |
| 30 | 12 | 13.5327561542612 | -1.53275615426121 |
| 31 | 17 | 13.6141052313223 | 3.38589476867772 |
| 32 | 9 | 11.6566687117664 | -2.65666871176642 |
| 33 | 9 | 12.8430741496168 | -3.84307414961681 |
| 34 | 18 | 17.2065597706427 | 0.793440229357304 |
| 35 | 12 | 12.5895885485230 | -0.589588548522952 |
| 36 | 18 | 13.6981256143948 | 4.30187438560518 |
| 37 | 14 | 13.9050196329146 | 0.0949803670853884 |
| 38 | 15 | 11.9308100361387 | 3.06918996386133 |
| 39 | 16 | 10.6998846007140 | 5.30011539928604 |
| 40 | 10 | 12.7896773295508 | -2.78967732955083 |
| 41 | 11 | 11.1600991013401 | -0.160099101340118 |
| 42 | 14 | 12.7600337655002 | 1.23996623449982 |
| 43 | 9 | 12.5836510940672 | -3.58365109406718 |
| 44 | 17 | 12.0380267662145 | 4.96197323378551 |
| 45 | 5 | 9.28318349199676 | -4.28318349199676 |
| 46 | 12 | 12.1354115496325 | -0.135411549632530 |
| 47 | 12 | 11.8586272621724 | 0.141372737827552 |
| 48 | 6 | 9.55941116435487 | -3.55941116435487 |
| 49 | 24 | 22.7553198373562 | 1.24468016264384 |
| 50 | 12 | 12.2815471440177 | -0.281547144017666 |
| 51 | 12 | 12.7775028727646 | -0.777502872764576 |
| 52 | 14 | 11.3482583241692 | 2.65174167583078 |
| 53 | 7 | 8.86570660165935 | -1.86570660165935 |
| 54 | 12 | 12.9326011533098 | -0.932601153309824 |
| 55 | 14 | 11.7224020134230 | 2.27759798657697 |
| 56 | 8 | 12.4869539631865 | -4.48695396318647 |
| 57 | 11 | 9.04671619056211 | 1.95328380943789 |
| 58 | 9 | 11.3029081148330 | -2.30290811483304 |
| 59 | 11 | 13.6660686504808 | -2.66606865048084 |
| 60 | 10 | 8.95206287413437 | 1.04793712586563 |
| 61 | 11 | 13.0579888235097 | -2.05798882350968 |
| 62 | 12 | 12.8667898343578 | -0.866789834357844 |
| 63 | 9 | 11.8363675381018 | -2.8363675381018 |
| 64 | 18 | 14.7755657498920 | 3.22443425010803 |
| 65 | 15 | 12.0599004521241 | 2.94009954787587 |
| 66 | 12 | 12.8368860134129 | -0.836886013412891 |
| 67 | 13 | 9.39004888937048 | 3.60995111062952 |
| 68 | 14 | 12.9157884612577 | 1.08421153874231 |
| 69 | 10 | 11.4706412349159 | -1.47064123491589 |
| 70 | 13 | 12.2281928045991 | 0.771807195400866 |
| 71 | 13 | 13.4885915285442 | -0.488591528544162 |
| 72 | 11 | 12.7317290736477 | -1.73172907364775 |
| 73 | 13 | 11.9341212816679 | 1.06587871833210 |
| 74 | 16 | 14.4520403627773 | 1.54795963722269 |
| 75 | 11 | 10.9355095746324 | 0.0644904253676085 |
| 76 | 16 | 17.7130133625102 | -1.71301336251019 |
| 77 | 14 | 11.6958160219126 | 2.30418397808743 |
| 78 | 8 | 10.6146650457315 | -2.61466504573151 |
| 79 | 9 | 9.80593368432105 | -0.805933684321053 |
| 80 | 15 | 11.5020067767481 | 3.49799322325195 |
| 81 | 11 | 13.2978564041544 | -2.29785640415440 |
| 82 | 21 | 17.0962900186611 | 3.90370998133888 |
| 83 | 14 | 12.8611583132559 | 1.13884168674409 |
| 84 | 18 | 15.7629702580805 | 2.23702974191952 |
| 85 | 12 | 11.5342488021223 | 0.46575119787768 |
| 86 | 13 | 12.7268293915598 | 0.273170608440180 |
| 87 | 12 | 10.890019400418 | 1.10998059958200 |
| 88 | 19 | 14.5541475038353 | 4.44585249616473 |
| 89 | 11 | 12.5857238537622 | -1.58572385376224 |
| 90 | 13 | 14.9373663248922 | -1.93736632489220 |
| 91 | 15 | 14.6379542040571 | 0.362045795942921 |
| 92 | 12 | 11.0739206659254 | 0.926079334074593 |
| 93 | 16 | 15.8598099697740 | 0.140190030225967 |
| 94 | 18 | 18.0522078388685 | -0.0522078388685007 |
| 95 | 8 | 14.8962463552164 | -6.89624635521638 |
| 96 | 9 | 10.7441215031642 | -1.74412150316421 |
| 97 | 15 | 12.7997142801417 | 2.20028571985832 |
| 98 | 6 | 10.6271538363224 | -4.62715383632243 |
| 99 | 8 | 9.48365831118564 | -1.48365831118564 |
| 100 | 10 | 10.1186110320092 | -0.118611032009240 |
| 101 | 11 | 12.3117823538364 | -1.31178235383638 |
| 102 | 14 | 12.6437736720802 | 1.35622632791979 |
| 103 | 11 | 13.4037516262436 | -2.40375162624359 |
| 104 | 12 | 11.8980400170529 | 0.101959982947141 |
| 105 | 11 | 10.0120463375509 | 0.987953662449092 |
| 106 | 9 | 9.3527768303525 | -0.352776830352507 |
| 107 | 12 | 11.8435894487613 | 0.156410551238658 |
| 108 | 20 | 14.3503305018472 | 5.6496694981528 |
| 109 | 13 | 13.5974238022869 | -0.59742380228687 |
| 110 | 12 | 16.453229122563 | -4.453229122563 |
| 111 | 9 | 14.5562401844148 | -5.55624018441481 |
| 112 | 24 | 21.6303020406828 | 2.36969795931719 |
| 113 | 11 | 11.5369383392537 | -0.536938339253732 |
| 114 | 17 | 15.1735676092157 | 1.82643239078427 |
| 115 | 11 | 12.7716415022599 | -1.77164150225992 |
| 116 | 11 | 14.2331286060079 | -3.23312860600791 |
| 117 | 16 | 12.4856041352201 | 3.51439586477994 |
| 118 | 13 | 10.9493742210865 | 2.05062577891347 |
| 119 | 11 | 12.6210258176553 | -1.62102581765529 |
| 120 | 19 | 17.8757768584534 | 1.12422314154661 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 11 | 0.87158898067261 | 0.25682203865478 | 0.12841101932739 |
| 12 | 0.865575905121387 | 0.268848189757226 | 0.134424094878613 |
| 13 | 0.786547785030987 | 0.426904429938025 | 0.213452214969013 |
| 14 | 0.749533434369728 | 0.500933131260545 | 0.250466565630273 |
| 15 | 0.809536669484934 | 0.380926661030133 | 0.190463330515066 |
| 16 | 0.81580210762886 | 0.36839578474228 | 0.18419789237114 |
| 17 | 0.763840459072816 | 0.472319081854368 | 0.236159540927184 |
| 18 | 0.778668229552463 | 0.442663540895073 | 0.221331770447537 |
| 19 | 0.73211673994928 | 0.535766520101441 | 0.267883260050721 |
| 20 | 0.843574147008532 | 0.312851705982936 | 0.156425852991468 |
| 21 | 0.798568561390653 | 0.402862877218694 | 0.201431438609347 |
| 22 | 0.798408330683813 | 0.403183338632374 | 0.201591669316187 |
| 23 | 0.805525032481944 | 0.388949935036113 | 0.194474967518056 |
| 24 | 0.754946218829734 | 0.490107562340532 | 0.245053781170266 |
| 25 | 0.71981650693725 | 0.560366986125501 | 0.280183493062750 |
| 26 | 0.669424769693096 | 0.661150460613808 | 0.330575230306904 |
| 27 | 0.70670592824129 | 0.586588143517419 | 0.293294071758710 |
| 28 | 0.765443560361399 | 0.469112879277203 | 0.234556439638601 |
| 29 | 0.836315920292126 | 0.327368159415748 | 0.163684079707874 |
| 30 | 0.833023320311231 | 0.333953359377538 | 0.166976679688769 |
| 31 | 0.84220189480698 | 0.315596210386040 | 0.157798105193020 |
| 32 | 0.84278237375515 | 0.314435252489701 | 0.157217626244851 |
| 33 | 0.882827065608852 | 0.234345868782296 | 0.117172934391148 |
| 34 | 0.850528541585805 | 0.298942916828390 | 0.149471458414195 |
| 35 | 0.815354638259349 | 0.369290723481303 | 0.184645361740651 |
| 36 | 0.899152500846268 | 0.201694998307463 | 0.100847499153732 |
| 37 | 0.869650525651536 | 0.260698948696927 | 0.130349474348464 |
| 38 | 0.863111391129852 | 0.273777217740296 | 0.136888608870148 |
| 39 | 0.918824006808599 | 0.162351986382803 | 0.0811759931914013 |
| 40 | 0.925075751013601 | 0.149848497972798 | 0.0749242489863989 |
| 41 | 0.902929421716929 | 0.194141156566142 | 0.0970705782830712 |
| 42 | 0.88316385923951 | 0.233672281520981 | 0.116836140760491 |
| 43 | 0.891823869160696 | 0.216352261678609 | 0.108176130839304 |
| 44 | 0.941081722580764 | 0.117836554838473 | 0.0589182774192365 |
| 45 | 0.963613093394387 | 0.0727738132112249 | 0.0363869066056125 |
| 46 | 0.951238862592792 | 0.0975222748144157 | 0.0487611374072078 |
| 47 | 0.935768959578131 | 0.128462080843738 | 0.0642310404218689 |
| 48 | 0.957659201482546 | 0.0846815970349074 | 0.0423407985174537 |
| 49 | 0.946908899434688 | 0.106182201130624 | 0.0530911005653118 |
| 50 | 0.929888943519546 | 0.140222112960907 | 0.0701110564804536 |
| 51 | 0.911657991252058 | 0.176684017495884 | 0.0883420087479418 |
| 52 | 0.909303468633407 | 0.181393062733186 | 0.0906965313665929 |
| 53 | 0.900154873194492 | 0.199690253611015 | 0.0998451268055077 |
| 54 | 0.877261515839669 | 0.245476968320662 | 0.122738484160331 |
| 55 | 0.869597091159964 | 0.260805817680073 | 0.130402908840036 |
| 56 | 0.910272345753468 | 0.179455308493065 | 0.0897276542465323 |
| 57 | 0.9002493993562 | 0.199501201287600 | 0.0997506006438002 |
| 58 | 0.893892639202303 | 0.212214721595395 | 0.106107360797697 |
| 59 | 0.907211381002212 | 0.185577237995576 | 0.0927886189977879 |
| 60 | 0.890220272842859 | 0.219559454314282 | 0.109779727157141 |
| 61 | 0.882297300123218 | 0.235405399753563 | 0.117702699876782 |
| 62 | 0.860304757391532 | 0.279390485216936 | 0.139695242608468 |
| 63 | 0.860484975266406 | 0.279030049467189 | 0.139515024733594 |
| 64 | 0.875634259180342 | 0.248731481639316 | 0.124365740819658 |
| 65 | 0.877852465298488 | 0.244295069403023 | 0.122147534701512 |
| 66 | 0.850133073939695 | 0.299733852120610 | 0.149866926060305 |
| 67 | 0.893029946419443 | 0.213940107161113 | 0.106970053580557 |
| 68 | 0.875327189073111 | 0.249345621853778 | 0.124672810926889 |
| 69 | 0.85051292737627 | 0.298974145247458 | 0.149487072623729 |
| 70 | 0.816494721664153 | 0.367010556671694 | 0.183505278335847 |
| 71 | 0.777916164511318 | 0.444167670977365 | 0.222083835488682 |
| 72 | 0.748507559030669 | 0.502984881938663 | 0.251492440969331 |
| 73 | 0.706605498466451 | 0.586789003067098 | 0.293394501533549 |
| 74 | 0.684212706811902 | 0.631574586376196 | 0.315787293188098 |
| 75 | 0.637923780902697 | 0.724152438194607 | 0.362076219097303 |
| 76 | 0.604611354435543 | 0.790777291128914 | 0.395388645564457 |
| 77 | 0.579828610050149 | 0.840342779899703 | 0.420171389949851 |
| 78 | 0.554639287427667 | 0.890721425144666 | 0.445360712572333 |
| 79 | 0.50076636953895 | 0.9984672609221 | 0.49923363046105 |
| 80 | 0.519435682534189 | 0.961128634931621 | 0.480564317465811 |
| 81 | 0.51298982453402 | 0.97402035093196 | 0.48701017546598 |
| 82 | 0.581932810088762 | 0.836134379822476 | 0.418067189911238 |
| 83 | 0.530904860725255 | 0.93819027854949 | 0.469095139274745 |
| 84 | 0.499961799265938 | 0.999923598531876 | 0.500038200734062 |
| 85 | 0.438866006997201 | 0.877732013994403 | 0.561133993002799 |
| 86 | 0.377258674390585 | 0.75451734878117 | 0.622741325609415 |
| 87 | 0.323998637034717 | 0.647997274069435 | 0.676001362965283 |
| 88 | 0.45166061954409 | 0.90332123908818 | 0.54833938045591 |
| 89 | 0.447415476774877 | 0.894830953549754 | 0.552584523225123 |
| 90 | 0.408124442582046 | 0.816248885164093 | 0.591875557417954 |
| 91 | 0.346938775113603 | 0.693877550227206 | 0.653061224886397 |
| 92 | 0.315558666665731 | 0.631117333331461 | 0.68444133333427 |
| 93 | 0.269979247791475 | 0.539958495582949 | 0.730020752208525 |
| 94 | 0.230040359611439 | 0.460080719222877 | 0.769959640388561 |
| 95 | 0.391429147014707 | 0.782858294029415 | 0.608570852985293 |
| 96 | 0.336466899428461 | 0.672933798856921 | 0.66353310057154 |
| 97 | 0.281815198219470 | 0.563630396438941 | 0.71818480178053 |
| 98 | 0.376122362509141 | 0.752244725018282 | 0.623877637490859 |
| 99 | 0.349915305509254 | 0.699830611018509 | 0.650084694490746 |
| 100 | 0.281227642093197 | 0.562455284186394 | 0.718772357906803 |
| 101 | 0.244250552835229 | 0.488501105670459 | 0.75574944716477 |
| 102 | 0.181500405479084 | 0.363000810958168 | 0.818499594520916 |
| 103 | 0.163890783910684 | 0.327781567821368 | 0.836109216089316 |
| 104 | 0.110508491271964 | 0.221016982543928 | 0.889491508728036 |
| 105 | 0.0708451613628644 | 0.141690322725729 | 0.929154838637136 |
| 106 | 0.0414568034268907 | 0.0829136068537814 | 0.95854319657311 |
| 107 | 0.0247560559537248 | 0.0495121119074495 | 0.975243944046275 |
| 108 | 0.0686330272448579 | 0.137266054489716 | 0.931366972755142 |
| 109 | 0.0417010455902699 | 0.0834020911805397 | 0.95829895440973 |
| 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 | 1 | 0.0101010101010101 | OK |
| 10% type I error level | 6 | 0.0606060606060606 | OK |
