| Multiple Linear Regression - Estimated Regression Equation |
| Popularity[t] = + 1.42973727530118 + 0.0679559785674146FindingFriends[t] + 0.257687676023935KnowingPeople[t] + 0.366618607059788Liked[t] + 0.675903357645973Celebrity[t] -0.0596577206056682Geslacht[t] -0.128099410571831Happiness[t] -0.647557306757711UsingHands[t] -0.196214101838047Quiet[t] + 0.454124178125426EyeContact[t] + 0.198962264726567CrossArms[t] + 0.194097726936484SmilingTalking[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) | 1.42973727530118 | 2.880068 | 0.4964 | 0.620613 | 0.310307 |
| FindingFriends | 0.0679559785674146 | 0.11467 | 0.5926 | 0.554686 | 0.277343 |
| KnowingPeople | 0.257687676023935 | 0.080316 | 3.2084 | 0.001761 | 0.000881 |
| Liked | 0.366618607059788 | 0.113976 | 3.2166 | 0.001716 | 0.000858 |
| Celebrity | 0.675903357645973 | 0.181303 | 3.728 | 0.00031 | 0.000155 |
| Geslacht | -0.0596577206056682 | 0.50957 | -0.1171 | 0.90702 | 0.45351 |
| Happiness | -0.128099410571831 | 0.13393 | -0.9565 | 0.340994 | 0.170497 |
| UsingHands | -0.647557306757711 | 0.34204 | -1.8932 | 0.06103 | 0.030515 |
| Quiet | -0.196214101838047 | 0.136818 | -1.4341 | 0.154454 | 0.077227 |
| EyeContact | 0.454124178125426 | 0.209967 | 2.1628 | 0.03278 | 0.01639 |
| CrossArms | 0.198962264726567 | 0.166568 | 1.1945 | 0.23493 | 0.117465 |
| SmilingTalking | 0.194097726936484 | 0.338096 | 0.5741 | 0.567112 | 0.283556 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.727346569060866 |
| R-squared | 0.529033031524613 |
| Adjusted R-squared | 0.480615866541162 |
| F-TEST (value) | 10.9265594486054 |
| F-TEST (DF numerator) | 11 |
| F-TEST (DF denominator) | 107 |
| p-value | 2.81441536742477e-13 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.05898166248144 |
| Sum Squared Residuals | 453.616387048529 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 13 | 11.0045746090676 | 1.99542539093237 |
| 2 | 12 | 10.5504300891378 | 1.44956991086223 |
| 3 | 15 | 13.2118638865473 | 1.78813611345268 |
| 4 | 12 | 11.5759404142663 | 0.424059585733664 |
| 5 | 10 | 11.9464928190928 | -1.94649281909279 |
| 6 | 9 | 10.4848107042366 | -1.48481070423656 |
| 7 | 12 | 11.979140595206 | 0.020859404794037 |
| 8 | 11 | 8.92215371106578 | 2.07784628893422 |
| 9 | 11 | 12.1455245684748 | -1.14552456847483 |
| 10 | 11 | 12.0181130072561 | -1.01811300725606 |
| 11 | 15 | 13.5009171331981 | 1.49908286680186 |
| 12 | 7 | 10.7292190066368 | -3.72921900663677 |
| 13 | 11 | 12.0703821396859 | -1.07038213968595 |
| 14 | 11 | 9.57333428858606 | 1.42666571141394 |
| 15 | 10 | 11.3067531002422 | -1.30675310024216 |
| 16 | 14 | 13.4186470948795 | 0.581352905120548 |
| 17 | 10 | 8.0648195081317 | 1.9351804918683 |
| 18 | 6 | 7.94486080504862 | -1.94486080504862 |
| 19 | 11 | 7.79480900613957 | 3.20519099386043 |
| 20 | 15 | 14.3000169708592 | 0.699983029140782 |
| 21 | 14 | 13.216520053685 | 0.783479946314983 |
| 22 | 9 | 13.7749318041153 | -4.77493180411528 |
| 23 | 13 | 11.9175628763982 | 1.08243712360175 |
| 24 | 16 | 10.492672259668 | 5.50732774033198 |
| 25 | 13 | 7.9475903191341 | 5.0524096808659 |
| 26 | 12 | 12.2790439372672 | -0.279043937267188 |
| 27 | 14 | 14.6939977169802 | -0.693997716980227 |
| 28 | 11 | 9.73693034155797 | 1.26306965844204 |
| 29 | 9 | 10.1658794665605 | -1.16587946656046 |
| 30 | 16 | 14.0113895546893 | 1.98861044531072 |
| 31 | 12 | 12.2770206559694 | -0.277020655969426 |
| 32 | 10 | 8.47171700299668 | 1.52828299700332 |
| 33 | 13 | 13.0171515912932 | -0.0171515912932296 |
| 34 | 16 | 15.4437060768876 | 0.556293923112422 |
| 35 | 5 | 9.02814785028552 | -4.02814785028552 |
| 36 | 8 | 10.4823883456822 | -2.48238834568223 |
| 37 | 11 | 12.4819376897124 | -1.48193768971243 |
| 38 | 16 | 14.5832616354049 | 1.41673836459509 |
| 39 | 17 | 12.8989370451371 | 4.10106295486291 |
| 40 | 9 | 7.86030189276624 | 1.13969810723376 |
| 41 | 9 | 11.9557965105435 | -2.95579651054349 |
| 42 | 13 | 14.244930811429 | -1.24493081142901 |
| 43 | 6 | 10.0061701161472 | -4.00617011614722 |
| 44 | 12 | 12.1396686008041 | -0.139668600804067 |
| 45 | 8 | 11.6243632806534 | -3.62436328065335 |
| 46 | 14 | 12.1610995318298 | 1.83890046817019 |
| 47 | 12 | 12.2204693672247 | -0.220469367224733 |
| 48 | 11 | 10.5211637675592 | 0.478836232440766 |
| 49 | 16 | 14.43681308678 | 1.56318691322003 |
| 50 | 8 | 9.88974947853361 | -1.88974947853361 |
| 51 | 15 | 14.9120426550078 | 0.0879573449922338 |
| 52 | 7 | 9.07804701073926 | -2.07804701073926 |
| 53 | 16 | 13.9699298447681 | 2.03007015523187 |
| 54 | 14 | 14.0174721880548 | -0.0174721880547607 |
| 55 | 9 | 10.2443822917313 | -1.24438229173134 |
| 56 | 14 | 12.0307376697682 | 1.96926233023179 |
| 57 | 11 | 13.8863042732833 | -2.88630427328328 |
| 58 | 15 | 11.9994713107915 | 3.00052868920854 |
| 59 | 15 | 12.3343001312729 | 2.66569986872715 |
| 60 | 13 | 12.0307376697682 | 0.969262330231787 |
| 61 | 11 | 11.8085286204357 | -0.808528620435679 |
| 62 | 11 | 13.686838705269 | -2.68683870526898 |
| 63 | 12 | 12.8274550809735 | -0.827455080973473 |
| 64 | 12 | 14.1240710013144 | -2.12407100131443 |
| 65 | 12 | 11.9842663915227 | 0.0157336084772647 |
| 66 | 12 | 12.2136697216109 | -0.213669721610937 |
| 67 | 14 | 10.4330145390624 | 3.56698546093765 |
| 68 | 6 | 7.46048032476614 | -1.46048032476614 |
| 69 | 7 | 9.50174736952451 | -2.50174736952451 |
| 70 | 14 | 13.7385408700261 | 0.261459129973863 |
| 71 | 10 | 11.0073354277487 | -1.00733542774869 |
| 72 | 13 | 8.18807805703087 | 4.81192194296913 |
| 73 | 12 | 12.7978933403962 | -0.797893340396246 |
| 74 | 9 | 9.28824111182083 | -0.288241111820833 |
| 75 | 16 | 14.8478209179334 | 1.15217908206664 |
| 76 | 10 | 9.8895090223993 | 0.110490977600702 |
| 77 | 16 | 14.5482935176886 | 1.45170648231139 |
| 78 | 15 | 13.3437920983512 | 1.65620790164884 |
| 79 | 8 | 7.71111049822817 | 0.288889501771825 |
| 80 | 11 | 12.7498386456421 | -1.74983864564207 |
| 81 | 13 | 12.1912656753663 | 0.808734324633683 |
| 82 | 16 | 15.9744843059633 | 0.025515694036669 |
| 83 | 14 | 15.05650612315 | -1.05650612315003 |
| 84 | 9 | 10.0276436452936 | -1.02764364529357 |
| 85 | 8 | 9.95083348958265 | -1.95083348958265 |
| 86 | 8 | 10.9682434246756 | -2.96824342467563 |
| 87 | 11 | 11.8776732775281 | -0.877673277528131 |
| 88 | 12 | 13.6802688662808 | -1.68026886628082 |
| 89 | 14 | 13.6384353865025 | 0.361564613497518 |
| 90 | 15 | 14.2247125302156 | 0.77528746978441 |
| 91 | 16 | 13.7177472980429 | 2.28225270195712 |
| 92 | 16 | 14.8889146591487 | 1.11108534085131 |
| 93 | 11 | 12.5885162028708 | -1.58851620287077 |
| 94 | 14 | 13.5886349865218 | 0.411365013478156 |
| 95 | 14 | 10.6570757246941 | 3.34292427530594 |
| 96 | 12 | 11.0916503103213 | 0.908349689678733 |
| 97 | 13 | 13.1369529315639 | -0.136952931563935 |
| 98 | 12 | 10.78700848361 | 1.21299151639001 |
| 99 | 16 | 15.5298220039576 | 0.470177996042445 |
| 100 | 12 | 13.216520053685 | -1.21652005368502 |
| 101 | 11 | 10.8328313009612 | 0.167168699038784 |
| 102 | 4 | 5.97962920214694 | -1.97962920214694 |
| 103 | 16 | 15.4159912399094 | 0.584008760090567 |
| 104 | 10 | 10.5781720296904 | -0.578172029690445 |
| 105 | 13 | 12.7290196556716 | 0.270980344328352 |
| 106 | 14 | 14.0350926946725 | -0.0350926946724795 |
| 107 | 7 | 9.93496221807539 | -2.93496221807539 |
| 108 | 12 | 12.5136356699401 | -0.513635669940068 |
| 109 | 12 | 11.3527716450039 | 0.647228354996094 |
| 110 | 13 | 13.3254509847209 | -0.325450984720871 |
| 111 | 15 | 12.322583251833 | 2.67741674816699 |
| 112 | 12 | 10.5762749582734 | 1.4237250417266 |
| 113 | 8 | 11.163079291537 | -3.16307929153696 |
| 114 | 10 | 14.1591215292839 | -4.15912152928388 |
| 115 | 16 | 14.5285009550247 | 1.47149904497526 |
| 116 | 13 | 13.0569007304688 | -0.0569007304688109 |
| 117 | 9 | 9.49971446490676 | -0.499714464906765 |
| 118 | 14 | 13.5010345744874 | 0.498965425512618 |
| 119 | 14 | 12.5242577920339 | 1.47574220796612 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 15 | 0.481783818270671 | 0.963567636541342 | 0.518216181729329 |
| 16 | 0.44835435472038 | 0.896708709440761 | 0.55164564527962 |
| 17 | 0.313146763297656 | 0.626293526595311 | 0.686853236702344 |
| 18 | 0.450228848731832 | 0.900457697463664 | 0.549771151268168 |
| 19 | 0.407097000790626 | 0.814194001581253 | 0.592902999209374 |
| 20 | 0.352044575917678 | 0.704089151835356 | 0.647955424082322 |
| 21 | 0.256988797969983 | 0.513977595939966 | 0.743011202030017 |
| 22 | 0.460633357734787 | 0.921266715469574 | 0.539366642265213 |
| 23 | 0.376060355161937 | 0.752120710323874 | 0.623939644838063 |
| 24 | 0.568825918300519 | 0.862348163398963 | 0.431174081699481 |
| 25 | 0.835642569131507 | 0.328714861736986 | 0.164357430868493 |
| 26 | 0.884696971346113 | 0.230606057307774 | 0.115303028653887 |
| 27 | 0.845598297073765 | 0.308803405852471 | 0.154401702926235 |
| 28 | 0.80713363162629 | 0.385732736747418 | 0.192866368373709 |
| 29 | 0.821140365460781 | 0.357719269078438 | 0.178859634539219 |
| 30 | 0.79535723749563 | 0.40928552500874 | 0.20464276250437 |
| 31 | 0.759632819257856 | 0.480734361484288 | 0.240367180742144 |
| 32 | 0.730237340045308 | 0.539525319909384 | 0.269762659954692 |
| 33 | 0.693236351959075 | 0.61352729608185 | 0.306763648040925 |
| 34 | 0.664194232959259 | 0.671611534081482 | 0.335805767040741 |
| 35 | 0.88589391497257 | 0.22821217005486 | 0.11410608502743 |
| 36 | 0.889950424538261 | 0.220099150923477 | 0.110049575461739 |
| 37 | 0.862841334721906 | 0.274317330556189 | 0.137158665278094 |
| 38 | 0.843782129976691 | 0.312435740046618 | 0.156217870023309 |
| 39 | 0.881364014375628 | 0.237271971248744 | 0.118635985624372 |
| 40 | 0.910993968000905 | 0.178012063998189 | 0.0890060319990945 |
| 41 | 0.938929675515828 | 0.122140648968343 | 0.0610703244841716 |
| 42 | 0.934669660712187 | 0.130660678575626 | 0.0653303392878131 |
| 43 | 0.960486070403427 | 0.079027859193145 | 0.0395139295965725 |
| 44 | 0.94629020416475 | 0.107419591670499 | 0.0537097958352495 |
| 45 | 0.980167223723532 | 0.0396655525529351 | 0.0198327762764676 |
| 46 | 0.977803128723493 | 0.0443937425530143 | 0.0221968712765072 |
| 47 | 0.968812757442212 | 0.0623744851155753 | 0.0311872425577877 |
| 48 | 0.958881216625886 | 0.0822375667482278 | 0.0411187833741139 |
| 49 | 0.958022442654251 | 0.0839551146914977 | 0.0419775573457488 |
| 50 | 0.959866585810892 | 0.0802668283782162 | 0.0401334141891081 |
| 51 | 0.94560146162808 | 0.108797076743839 | 0.0543985383719195 |
| 52 | 0.939702031480633 | 0.120595937038734 | 0.060297968519367 |
| 53 | 0.94952691902854 | 0.100946161942921 | 0.0504730809714605 |
| 54 | 0.933867762244741 | 0.132264475510517 | 0.0661322377552587 |
| 55 | 0.922593083613156 | 0.154813832773689 | 0.0774069163868445 |
| 56 | 0.921048441019065 | 0.157903117961869 | 0.0789515589809345 |
| 57 | 0.94251100437934 | 0.114977991241318 | 0.0574889956206589 |
| 58 | 0.96578871039541 | 0.0684225792091804 | 0.0342112896045902 |
| 59 | 0.982302530400547 | 0.0353949391989061 | 0.017697469599453 |
| 60 | 0.976668419260734 | 0.0466631614785329 | 0.0233315807392664 |
| 61 | 0.969194629386445 | 0.0616107412271102 | 0.0308053706135551 |
| 62 | 0.974807155293025 | 0.0503856894139504 | 0.0251928447069752 |
| 63 | 0.968499352803823 | 0.0630012943923542 | 0.0315006471961771 |
| 64 | 0.970657081161648 | 0.0586858376767051 | 0.0293429188383525 |
| 65 | 0.95970373121606 | 0.0805925375678825 | 0.0402962687839413 |
| 66 | 0.946006332267104 | 0.107987335465791 | 0.0539936677328956 |
| 67 | 0.974245723119482 | 0.0515085537610367 | 0.0257542768805184 |
| 68 | 0.969043372009827 | 0.0619132559803458 | 0.0309566279901729 |
| 69 | 0.967386159560418 | 0.0652276808791633 | 0.0326138404395817 |
| 70 | 0.954878367114564 | 0.0902432657708728 | 0.0451216328854364 |
| 71 | 0.943737768000955 | 0.11252446399809 | 0.0562622319990448 |
| 72 | 0.991079437855965 | 0.0178411242880696 | 0.00892056214403479 |
| 73 | 0.987735012752799 | 0.0245299744944026 | 0.0122649872472013 |
| 74 | 0.981862568492406 | 0.0362748630151886 | 0.0181374315075943 |
| 75 | 0.975338052676835 | 0.0493238946463303 | 0.0246619473231652 |
| 76 | 0.965951839112072 | 0.0680963217758564 | 0.0340481608879282 |
| 77 | 0.963137970599201 | 0.0737240588015969 | 0.0368620294007985 |
| 78 | 0.959673071516648 | 0.080653856966704 | 0.040326928483352 |
| 79 | 0.943520218866027 | 0.112959562267946 | 0.0564797811339731 |
| 80 | 0.93220389709133 | 0.135592205817338 | 0.0677961029086692 |
| 81 | 0.915827842088573 | 0.168344315822853 | 0.0841721579114266 |
| 82 | 0.91759215468635 | 0.164815690627301 | 0.0824078453136506 |
| 83 | 0.88945875561902 | 0.22108248876196 | 0.11054124438098 |
| 84 | 0.855742490728831 | 0.288515018542337 | 0.144257509271169 |
| 85 | 0.840308374949021 | 0.319383250101958 | 0.159691625050979 |
| 86 | 0.937231039507212 | 0.125537920985577 | 0.0627689604927883 |
| 87 | 0.91304279936502 | 0.173914401269961 | 0.0869572006349803 |
| 88 | 0.943405026258143 | 0.113189947483714 | 0.0565949737418568 |
| 89 | 0.919921141328626 | 0.160157717342748 | 0.0800788586713739 |
| 90 | 0.891637630813683 | 0.216724738372633 | 0.108362369186317 |
| 91 | 0.888882785870538 | 0.222234428258923 | 0.111117214129462 |
| 92 | 0.8456790404511 | 0.3086419190978 | 0.1543209595489 |
| 93 | 0.795626428445281 | 0.408747143109438 | 0.204373571554719 |
| 94 | 0.734938187644109 | 0.530123624711782 | 0.265061812355891 |
| 95 | 0.808919820929389 | 0.382160358141223 | 0.191080179070611 |
| 96 | 0.756391959323186 | 0.487216081353628 | 0.243608040676814 |
| 97 | 0.673170554835699 | 0.653658890328602 | 0.326829445164301 |
| 98 | 0.670564909814913 | 0.658870180370175 | 0.329435090185087 |
| 99 | 0.714818659080686 | 0.570362681838628 | 0.285181340919314 |
| 100 | 0.674145603434191 | 0.651708793131618 | 0.325854396565809 |
| 101 | 0.667417534956349 | 0.665164930087301 | 0.332582465043651 |
| 102 | 0.544142881444977 | 0.911714237110046 | 0.455857118555023 |
| 103 | 0.433223801334356 | 0.866447602668712 | 0.566776198665644 |
| 104 | 0.28201743395629 | 0.56403486791258 | 0.71798256604371 |
| 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 | 8 | 0.0888888888888889 | NOK |
| 10% type I error level | 26 | 0.288888888888889 | NOK |
