| Multiple Linear Regression - Estimated Regression Equation |
| LeadershipPreference[t] = + 1.63596771428962 + 0.0405311256109401Career[t] + 0.047890142115417PersonalStandards[t] + 0.0137973603388139ParentalExpectations[t] -0.0745266685219804Doubts[t] -0.000855430748768299t + 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) | 1.63596771428962 | 0.734855 | 2.2262 | 0.027596 | 0.013798 |
| Career | 0.0405311256109401 | 0.013929 | 2.9098 | 0.004209 | 0.002104 |
| PersonalStandards | 0.047890142115417 | 0.017885 | 2.6776 | 0.008301 | 0.004151 |
| ParentalExpectations | 0.0137973603388139 | 0.021758 | 0.6341 | 0.527036 | 0.263518 |
| Doubts | -0.0745266685219804 | 0.02579 | -2.8898 | 0.004469 | 0.002235 |
| t | -0.000855430748768299 | 0.001719 | -0.4977 | 0.619484 | 0.309742 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.456013921999117 |
| R-squared | 0.207948697057017 |
| Adjusted R-squared | 0.179661150523339 |
| F-TEST (value) | 7.35124542559537 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 140 |
| p-value | 3.79880482204165e-06 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.8475088091418 |
| Sum Squared Residuals | 100.557965420213 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 3 | 4.03036237485918 | -1.03036237485918 |
| 2 | 4 | 3.90791356727761 | 0.092086432722387 |
| 3 | 4 | 3.56538879788659 | 0.434611202113411 |
| 4 | 2 | 3.04828931544630 | -1.04828931544630 |
| 5 | 4 | 3.73778064949506 | 0.262219350504939 |
| 6 | 4 | 3.59648080907456 | 0.403519190925438 |
| 7 | 3 | 3.48315045040938 | -0.483150450409379 |
| 8 | 4 | 4.09163925050089 | -0.091639250500891 |
| 9 | 4 | 3.68296474062807 | 0.317035259371934 |
| 10 | 4 | 3.70907507448347 | 0.290924925516527 |
| 11 | 4 | 4.14480831120229 | -0.144808311202293 |
| 12 | 5 | 4.67370257588717 | 0.326297424112834 |
| 13 | 4 | 4.52571019663657 | -0.525710196636566 |
| 14 | 4 | 3.94461786773767 | 0.0553821322623282 |
| 15 | 4 | 3.57308350939192 | 0.426916490608085 |
| 16 | 5 | 4.73940241505265 | 0.260597584947350 |
| 17 | 4 | 3.87883663995726 | 0.121163360042743 |
| 18 | 4 | 3.37213571424400 | 0.627864285756004 |
| 19 | 4 | 3.62309129047031 | 0.37690870952969 |
| 20 | 5 | 3.87621063044631 | 1.12378936955369 |
| 21 | 5 | 3.47182557166379 | 1.52817442833621 |
| 22 | 5 | 3.47097014091502 | 1.52902985908498 |
| 23 | 4 | 4.68088973760087 | -0.680889737600873 |
| 24 | 2 | 2.92506907318701 | -0.925069073187013 |
| 25 | 4 | 3.53286919994044 | 0.467130800059564 |
| 26 | 4 | 3.77602395666189 | 0.223976043338115 |
| 27 | 4 | 3.61218306806385 | 0.387816931936145 |
| 28 | 3 | 2.72010687253850 | 0.279893127461495 |
| 29 | 2 | 3.28011409604207 | -1.28011409604207 |
| 30 | 2 | 3.12852093903926 | -1.12852093903926 |
| 31 | 3 | 3.26266728999988 | -0.262667289999880 |
| 32 | 5 | 3.99176907698943 | 1.00823092301057 |
| 33 | 5 | 4.75512009701593 | 0.244879902984066 |
| 34 | 4 | 3.9286619247645 | 0.0713380752355042 |
| 35 | 4 | 4.08801460791736 | -0.0880146079173586 |
| 36 | 5 | 3.35982285211756 | 1.64017714788244 |
| 37 | 4 | 3.70670834404685 | 0.293291655953155 |
| 38 | 4 | 3.82202585783226 | 0.177974142167738 |
| 39 | 4 | 3.43078700765138 | 0.569212992348616 |
| 40 | 4 | 3.47511941827225 | 0.524880581727749 |
| 41 | 2 | 3.20602836266565 | -1.20602836266565 |
| 42 | 3 | 4.06347527771291 | -1.06347527771291 |
| 43 | 3 | 3.55367509451246 | -0.553675094512464 |
| 44 | 4 | 3.56718676778118 | 0.432813232218816 |
| 45 | 2 | 3.51566334609951 | -1.51566334609951 |
| 46 | 4 | 3.78555186809308 | 0.214448131906917 |
| 47 | 4 | 4.12563958104756 | -0.125639581047556 |
| 48 | 3 | 2.90978688544780 | 0.0902131145522034 |
| 49 | 3 | 3.61267862309396 | -0.612678623093963 |
| 50 | 3 | 3.59986717734666 | -0.599867177346661 |
| 51 | 4 | 3.93412330687654 | 0.0658766931234643 |
| 52 | 5 | 4.19222809593899 | 0.807771904061011 |
| 53 | 2 | 3.15571826239731 | -1.15571826239731 |
| 54 | 4 | 3.74081987997314 | 0.25918012002686 |
| 55 | 2 | 3.60298656170822 | -1.60298656170822 |
| 56 | 0 | 4.23008588915758 | -4.23008588915758 |
| 57 | 4 | 3.30966708722174 | 0.690332912778262 |
| 58 | 4 | 3.67232604529661 | 0.327673954703394 |
| 59 | 3 | 3.21914600253559 | -0.219146002535593 |
| 60 | 4 | 3.79420049724573 | 0.205799502754272 |
| 61 | 4 | 3.93028543241219 | 0.0697145675878141 |
| 62 | 2 | 3.36427789632078 | -1.36427789632078 |
| 63 | 4 | 3.67845527780771 | 0.321544722192293 |
| 64 | 2 | 2.9749239426077 | -0.974923942607703 |
| 65 | 4 | 4.01076352672112 | -0.0107635267211218 |
| 66 | 3 | 4.03188790662022 | -1.03188790662022 |
| 67 | 4 | 3.74283016290359 | 0.257169837096411 |
| 68 | 5 | 4.00545690725825 | 0.99454309274175 |
| 69 | 3 | 3.11860666630041 | -0.118606666300410 |
| 70 | 3 | 3.0772201099407 | -0.0772201099407018 |
| 71 | 4 | 4.04443965215859 | -0.0444396521585882 |
| 72 | 5 | 4.19719703534691 | 0.802802964653086 |
| 73 | 4 | 2.54893988322515 | 1.45106011677485 |
| 74 | 2 | 3.47797916671655 | -1.47797916671655 |
| 75 | 4 | 3.67516016986471 | 0.324839830135286 |
| 76 | 4 | 3.63300989696507 | 0.366990103034934 |
| 77 | 4 | 3.64493391501941 | 0.355066084980590 |
| 78 | 4 | 3.11585622191688 | 0.884143778083121 |
| 79 | 4 | 3.18385333726555 | 0.816146662734447 |
| 80 | 2 | 2.81392782005817 | -0.813927820058166 |
| 81 | 5 | 4.60473597150117 | 0.39526402849883 |
| 82 | 4 | 3.75682970580975 | 0.243170294190246 |
| 83 | 2 | 2.30442307810982 | -0.304423078109816 |
| 84 | 3 | 3.23848583715845 | -0.238485837158451 |
| 85 | 3 | 3.65399869564133 | -0.653998695641332 |
| 86 | 5 | 3.97144812155271 | 1.02855187844729 |
| 87 | 4 | 3.66964895550375 | 0.330351044496247 |
| 88 | 3 | 4.13734191206221 | -1.13734191206221 |
| 89 | 4 | 3.66862676734431 | 0.331373232655695 |
| 90 | 3 | 3.65295606472102 | -0.652956064721021 |
| 91 | 4 | 3.8532061284135 | 0.146793871586499 |
| 92 | 5 | 4.04084220558208 | 0.959157794417918 |
| 93 | 2 | 2.50476026350089 | -0.504760263500894 |
| 94 | 4 | 3.6103128442474 | 0.389687155752602 |
| 95 | 4 | 3.43470354865546 | 0.565296451344543 |
| 96 | 4 | 3.30274733669521 | 0.697252663304788 |
| 97 | 5 | 3.26231897460657 | 1.73768102539343 |
| 98 | 2 | 3.02181835554959 | -1.02181835554959 |
| 99 | 3 | 3.22757076446906 | -0.227570764469056 |
| 100 | 4 | 3.73573563424367 | 0.264264365756327 |
| 101 | 4 | 3.58944983986687 | 0.410550160133135 |
| 102 | 3 | 3.747132954877 | -0.747132954877001 |
| 103 | 3 | 3.72491134361660 | -0.724911343616605 |
| 104 | 5 | 3.45112605065039 | 1.54887394934961 |
| 105 | 4 | 3.70022445072935 | 0.299775549270649 |
| 106 | 4 | 4.17079249497086 | -0.170792494970860 |
| 107 | 4 | 2.91242456667424 | 1.08757543332576 |
| 108 | 4 | 3.94339076163413 | 0.0566092383658726 |
| 109 | 2 | 3.53794226843582 | -1.53794226843582 |
| 110 | 4 | 3.49892877462428 | 0.501071225375718 |
| 111 | 5 | 3.26889425908688 | 1.73110574091312 |
| 112 | 3 | 3.71615703374106 | -0.716157033741063 |
| 113 | 3 | 3.32626583816336 | -0.326265838163360 |
| 114 | 3 | 3.93739722173602 | -0.937397221736016 |
| 115 | 4 | 3.7136504587594 | 0.286349541240604 |
| 116 | 4 | 4.19533525338779 | -0.195335253387790 |
| 117 | 4 | 3.2708886917667 | 0.729111308233299 |
| 118 | 3 | 3.19372496442031 | -0.193724964420311 |
| 119 | 2 | 3.23426161468798 | -1.23426161468798 |
| 120 | 3 | 2.96935477002697 | 0.0306452299730272 |
| 121 | 3 | 3.46920192415619 | -0.469201924156188 |
| 122 | 4 | 3.46629534439880 | 0.533704655601196 |
| 123 | 5 | 4.02178010774030 | 0.978219892259696 |
| 124 | 4 | 3.38662881382463 | 0.613371186175369 |
| 125 | 3 | 3.85445653084957 | -0.854456530849574 |
| 126 | 3 | 3.45594057709257 | -0.455940577092569 |
| 127 | 4 | 3.38492347698383 | 0.615076523016172 |
| 128 | 4 | 3.79640908065132 | 0.203590919348676 |
| 129 | 4 | 3.50183417064035 | 0.498165829359645 |
| 130 | 3 | 3.30211836732022 | -0.30211836732022 |
| 131 | 5 | 4.08979256846975 | 0.91020743153025 |
| 132 | 3 | 3.33208970345019 | -0.332089703450193 |
| 133 | 4 | 3.46400411718577 | 0.535995882814232 |
| 134 | 4 | 3.65079456488606 | 0.349205435113941 |
| 135 | 4 | 3.52907195224348 | 0.470928047756515 |
| 136 | 4 | 3.96656512624409 | 0.0334348737559073 |
| 137 | 5 | 3.73559410722948 | 1.26440589277052 |
| 138 | 3 | 3.35504603524218 | -0.355046035242175 |
| 139 | 2 | 3.45020288805629 | -1.45020288805629 |
| 140 | 3 | 3.38775719371885 | -0.387757193718854 |
| 141 | 3 | 3.60609457371031 | -0.606094573710307 |
| 142 | 3 | 3.50087212702219 | -0.500872127022188 |
| 143 | 4 | 2.90621393224667 | 1.09378606775333 |
| 144 | 2 | 3.4391581522805 | -1.4391581522805 |
| 145 | 4 | 3.32050510505210 | 0.679494894947896 |
| 146 | 2 | 3.18711182915104 | -1.18711182915104 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.51155136469874 | 0.97689727060252 | 0.48844863530126 |
| 10 | 0.343316904458083 | 0.686633808916167 | 0.656683095541917 |
| 11 | 0.223754598867411 | 0.447509197734823 | 0.776245401132589 |
| 12 | 0.138319635982025 | 0.276639271964049 | 0.861680364017975 |
| 13 | 0.0926681930521013 | 0.185336386104203 | 0.907331806947899 |
| 14 | 0.0527240967530869 | 0.105448193506174 | 0.947275903246913 |
| 15 | 0.0280679835087703 | 0.0561359670175405 | 0.97193201649123 |
| 16 | 0.0149888398792221 | 0.0299776797584442 | 0.985011160120778 |
| 17 | 0.00948843605408469 | 0.0189768721081694 | 0.990511563945915 |
| 18 | 0.00689551237266116 | 0.0137910247453223 | 0.993104487627339 |
| 19 | 0.00416358678630374 | 0.00832717357260747 | 0.995836413213696 |
| 20 | 0.00267383048227446 | 0.00534766096454893 | 0.997326169517726 |
| 21 | 0.00408381796719099 | 0.00816763593438197 | 0.99591618203281 |
| 22 | 0.00337318441982156 | 0.00674636883964312 | 0.996626815580179 |
| 23 | 0.0156613769428495 | 0.031322753885699 | 0.98433862305715 |
| 24 | 0.123332225503015 | 0.246664451006029 | 0.876667774496985 |
| 25 | 0.0976011139028435 | 0.195202227805687 | 0.902398886097156 |
| 26 | 0.0836545378850253 | 0.167309075770051 | 0.916345462114975 |
| 27 | 0.0659458575058846 | 0.131891715011769 | 0.934054142494115 |
| 28 | 0.0469953997177304 | 0.0939907994354609 | 0.95300460028227 |
| 29 | 0.151228234100562 | 0.302456468201124 | 0.848771765899438 |
| 30 | 0.202900253311263 | 0.405800506622526 | 0.797099746688737 |
| 31 | 0.172547600713286 | 0.345095201426572 | 0.827452399286714 |
| 32 | 0.149722230158842 | 0.299444460317684 | 0.850277769841158 |
| 33 | 0.122600954365595 | 0.245201908731190 | 0.877399045634405 |
| 34 | 0.0933831295994378 | 0.186766259198876 | 0.906616870400562 |
| 35 | 0.0723900194055771 | 0.144780038811154 | 0.927609980594423 |
| 36 | 0.126644466627294 | 0.253288933254588 | 0.873355533372706 |
| 37 | 0.100758121625004 | 0.201516243250009 | 0.899241878374996 |
| 38 | 0.0773199534468932 | 0.154639906893786 | 0.922680046553107 |
| 39 | 0.0635012154420845 | 0.127002430884169 | 0.936498784557915 |
| 40 | 0.0499507375308445 | 0.099901475061689 | 0.950049262469155 |
| 41 | 0.118497439007396 | 0.236994878014793 | 0.881502560992603 |
| 42 | 0.150130855808945 | 0.300261711617889 | 0.849869144191056 |
| 43 | 0.132300948768256 | 0.264601897536512 | 0.867699051231744 |
| 44 | 0.109131116815744 | 0.218262233631488 | 0.890868883184256 |
| 45 | 0.195103915004607 | 0.390207830009214 | 0.804896084995393 |
| 46 | 0.162296352858348 | 0.324592705716697 | 0.837703647141652 |
| 47 | 0.131289170397810 | 0.262578340795620 | 0.86871082960219 |
| 48 | 0.105199652358292 | 0.210399304716583 | 0.894800347641708 |
| 49 | 0.0948216853213517 | 0.189643370642703 | 0.905178314678648 |
| 50 | 0.0798653425674775 | 0.159730685134955 | 0.920134657432522 |
| 51 | 0.062549089456253 | 0.125098178912506 | 0.937450910543747 |
| 52 | 0.066029878839054 | 0.132059757678108 | 0.933970121160946 |
| 53 | 0.072755815383631 | 0.145511630767262 | 0.927244184616369 |
| 54 | 0.0590302027908902 | 0.118060405581780 | 0.94096979720911 |
| 55 | 0.0969023589879625 | 0.193804717975925 | 0.903097641012037 |
| 56 | 0.89770579749334 | 0.204588405013321 | 0.102294202506661 |
| 57 | 0.909744850151857 | 0.180510299696285 | 0.0902551498481425 |
| 58 | 0.921168303127764 | 0.157663393744472 | 0.0788316968722358 |
| 59 | 0.902325152252951 | 0.195349695494098 | 0.0976748477470488 |
| 60 | 0.884775911209549 | 0.230448177580902 | 0.115224088790451 |
| 61 | 0.863035131613026 | 0.273929736773947 | 0.136964868386974 |
| 62 | 0.89510678219806 | 0.20978643560388 | 0.10489321780194 |
| 63 | 0.881831575852768 | 0.236336848294464 | 0.118168424147232 |
| 64 | 0.885574666993362 | 0.228850666013276 | 0.114425333006638 |
| 65 | 0.86431269119685 | 0.271374617606299 | 0.135687308803150 |
| 66 | 0.88196661240358 | 0.236066775192840 | 0.118033387596420 |
| 67 | 0.865554260442351 | 0.268891479115298 | 0.134445739557649 |
| 68 | 0.882123055664248 | 0.235753888671504 | 0.117876944335752 |
| 69 | 0.856976976152263 | 0.286046047695474 | 0.143023023847737 |
| 70 | 0.828617122585875 | 0.342765754828251 | 0.171382877414125 |
| 71 | 0.808013606306116 | 0.383972787387768 | 0.191986393693884 |
| 72 | 0.80581725233085 | 0.3883654953383 | 0.19418274766915 |
| 73 | 0.868452768630194 | 0.263094462739611 | 0.131547231369806 |
| 74 | 0.924210212108328 | 0.151579575783344 | 0.0757897878916718 |
| 75 | 0.908323706002411 | 0.183352587995177 | 0.0916762939975886 |
| 76 | 0.892318323633376 | 0.215363352733249 | 0.107681676366624 |
| 77 | 0.871343868588696 | 0.257312262822607 | 0.128656131411304 |
| 78 | 0.872059897806777 | 0.255880204386446 | 0.127940102193223 |
| 79 | 0.871218892645683 | 0.257562214708634 | 0.128781107354317 |
| 80 | 0.869408734645642 | 0.261182530708716 | 0.130591265354358 |
| 81 | 0.851987437275883 | 0.296025125448233 | 0.148012562724117 |
| 82 | 0.824825839817204 | 0.350348320365592 | 0.175174160182796 |
| 83 | 0.811212668879054 | 0.377574662241893 | 0.188787331120946 |
| 84 | 0.786759775950248 | 0.426480448099503 | 0.213240224049752 |
| 85 | 0.778678131538861 | 0.442643736922279 | 0.221321868461139 |
| 86 | 0.78487593167907 | 0.430248136641861 | 0.215124068320930 |
| 87 | 0.749662129654598 | 0.500675740690804 | 0.250337870345402 |
| 88 | 0.793260965890764 | 0.413478068218471 | 0.206739034109236 |
| 89 | 0.761828035367716 | 0.476343929264568 | 0.238171964632284 |
| 90 | 0.770441336894993 | 0.459117326210014 | 0.229558663105007 |
| 91 | 0.730112387531975 | 0.53977522493605 | 0.269887612468025 |
| 92 | 0.723693823464946 | 0.552612353070107 | 0.276306176535054 |
| 93 | 0.725905479682883 | 0.548189040634234 | 0.274094520317117 |
| 94 | 0.702327463348946 | 0.595345073302108 | 0.297672536651054 |
| 95 | 0.668813573522135 | 0.66237285295573 | 0.331186426477865 |
| 96 | 0.634997025519278 | 0.730005948961444 | 0.365002974480722 |
| 97 | 0.74334998493652 | 0.513300030126958 | 0.256650015063479 |
| 98 | 0.770683545833899 | 0.458632908332201 | 0.229316454166101 |
| 99 | 0.739483936890286 | 0.521032126219428 | 0.260516063109714 |
| 100 | 0.702855925394763 | 0.594288149210473 | 0.297144074605237 |
| 101 | 0.6590838099692 | 0.681832380061601 | 0.340916190030800 |
| 102 | 0.632887486310937 | 0.734225027378125 | 0.367112513689062 |
| 103 | 0.627901062696384 | 0.744197874607231 | 0.372098937303616 |
| 104 | 0.671608014733712 | 0.656783970532576 | 0.328391985266288 |
| 105 | 0.621418937725443 | 0.757162124549114 | 0.378581062274557 |
| 106 | 0.568008865825753 | 0.863982268348494 | 0.431991134174247 |
| 107 | 0.599506091308548 | 0.800987817382905 | 0.400493908691452 |
| 108 | 0.545451761055033 | 0.909096477889934 | 0.454548238944967 |
| 109 | 0.748571788800733 | 0.502856422398534 | 0.251428211199267 |
| 110 | 0.710077392187293 | 0.579845215625414 | 0.289922607812707 |
| 111 | 0.850955143896615 | 0.298089712206769 | 0.149044856103385 |
| 112 | 0.83641314392898 | 0.327173712142041 | 0.163586856071020 |
| 113 | 0.79720113736554 | 0.405597725268922 | 0.202798862634461 |
| 114 | 0.822952699793298 | 0.354094600413403 | 0.177047300206702 |
| 115 | 0.77979900718009 | 0.440401985639819 | 0.220200992819909 |
| 116 | 0.793077776570898 | 0.413844446858204 | 0.206922223429102 |
| 117 | 0.763709357719836 | 0.472581284560329 | 0.236290642280164 |
| 118 | 0.714843807671635 | 0.57031238465673 | 0.285156192328365 |
| 119 | 0.791926687233604 | 0.416146625532792 | 0.208073312766396 |
| 120 | 0.759444351589987 | 0.481111296820026 | 0.240555648410013 |
| 121 | 0.748935147905466 | 0.502129704189067 | 0.251064852094534 |
| 122 | 0.708100207842764 | 0.583799584314473 | 0.291899792157236 |
| 123 | 0.659974656890276 | 0.680050686219448 | 0.340025343109724 |
| 124 | 0.598175833676856 | 0.803648332646288 | 0.401824166323144 |
| 125 | 0.588490003687115 | 0.823019992625771 | 0.411509996312885 |
| 126 | 0.632563337351165 | 0.73487332529767 | 0.367436662648835 |
| 127 | 0.576255296708701 | 0.847489406582597 | 0.423744703291299 |
| 128 | 0.507078687179924 | 0.985842625640153 | 0.492921312820077 |
| 129 | 0.457739507123953 | 0.915479014247905 | 0.542260492876047 |
| 130 | 0.369108114547222 | 0.738216229094445 | 0.630891885452778 |
| 131 | 0.365306538552278 | 0.730613077104556 | 0.634693461447722 |
| 132 | 0.312983210694960 | 0.625966421389921 | 0.68701678930504 |
| 133 | 0.444011226992897 | 0.888022453985795 | 0.555988773007103 |
| 134 | 0.3571750233353 | 0.7143500466706 | 0.6428249766647 |
| 135 | 0.253500828090029 | 0.507001656180059 | 0.74649917190997 |
| 136 | 0.171939618351557 | 0.343879236703115 | 0.828060381648443 |
| 137 | 0.382671608067734 | 0.765343216135468 | 0.617328391932266 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 4 | 0.0310077519379845 | NOK |
| 5% type I error level | 8 | 0.062015503875969 | NOK |
| 10% type I error level | 11 | 0.0852713178294574 | OK |
