Multiple Linear Regression - Estimated Regression Equation |
Career[t] = + 35.6197069170407 -1.39109054250955G[t] + 0.20798572444025PersonalStandards[t] -0.0619444415950565PeG[t] + 0.304770109016755ParentalExpectations[t] -0.222891855918395PaG[t] -0.0280035539064598Doubts[t] -0.143741846502613DoG[t] -0.286076268589505LeadershipPreference[t] + 1.16963899061508LeaderG[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) | 35.6197069170407 | 5.253618 | 6.78 | 0 | 0 |
G | -1.39109054250955 | 6.622594 | -0.2101 | 0.833944 | 0.416972 |
PersonalStandards | 0.20798572444025 | 0.308607 | 0.6739 | 0.501496 | 0.250748 |
PeG | -0.0619444415950565 | 0.209717 | -0.2954 | 0.768164 | 0.384082 |
ParentalExpectations | 0.304770109016755 | 0.405079 | 0.7524 | 0.453137 | 0.226569 |
PaG | -0.222891855918395 | 0.268232 | -0.831 | 0.40746 | 0.20373 |
Doubts | -0.0280035539064598 | 0.475306 | -0.0589 | 0.953105 | 0.476553 |
DoG | -0.143741846502613 | 0.311976 | -0.4607 | 0.645722 | 0.322861 |
LeadershipPreference | -0.286076268589505 | 1.418512 | -0.2017 | 0.840476 | 0.420238 |
LeaderG | 1.16963899061508 | 1.01608 | 1.1511 | 0.251714 | 0.125857 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.360462109240757 |
R-squared | 0.129932932198296 |
Adjusted R-squared | 0.0719284610115152 |
F-TEST (value) | 2.24005028474268 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 135 |
p-value | 0.0230062379670575 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.80099053007766 |
Sum Squared Residuals | 3111.68385943587 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 41 | 40.2128018045313 | 0.787198195468745 |
2 | 38 | 41.096364526557 | -3.09636452655697 |
3 | 37 | 40.1382385763875 | -3.13823857638747 |
4 | 42 | 39.8364296815579 | 2.16357031844209 |
5 | 40 | 39.1358815956817 | 0.864118404318318 |
6 | 43 | 41.0144862734586 | 1.98551372654136 |
7 | 40 | 40.133278147655 | -0.133278147655021 |
8 | 45 | 43.3891263702325 | 1.61087362976753 |
9 | 45 | 42.4381776246544 | 2.56182237534557 |
10 | 44 | 40.097847700952 | 3.90215229904804 |
11 | 42 | 40.2858227658338 | 1.71417723416624 |
12 | 32 | 41.4726799415677 | -9.4726799415677 |
13 | 32 | 41.4726799415677 | -9.4726799415677 |
14 | 41 | 43.1459029151222 | -2.14590291512216 |
15 | 38 | 39.9487779526269 | -1.94877795262687 |
16 | 38 | 40.0209298765861 | -2.02092987658606 |
17 | 24 | 38.5627338239932 | -14.5627338239932 |
18 | 46 | 40.9993201746548 | 5.00067982534521 |
19 | 42 | 40.9550891441185 | 1.04491085588148 |
20 | 46 | 40.6789843668528 | 5.32101563314716 |
21 | 43 | 40.0170330135225 | 2.98296698647752 |
22 | 38 | 40.4944841718247 | -2.49448417182469 |
23 | 39 | 40.109311465018 | -1.10931146501796 |
24 | 40 | 39.1903182962893 | 0.80968170371066 |
25 | 37 | 38.289234879238 | -1.28923487923797 |
26 | 41 | 40.292268753445 | 0.707731246554982 |
27 | 46 | 40.825025649698 | 5.17497435030197 |
28 | 26 | 38.6527954996296 | -12.6527954996296 |
29 | 37 | 39.2834084374057 | -2.28340843740568 |
30 | 39 | 41.2601210327537 | -2.26012103275372 |
31 | 44 | 42.4662363384403 | 1.53376366155973 |
32 | 38 | 38.4737350742661 | -0.473735074266121 |
33 | 38 | 38.5105132594851 | -0.510513259485067 |
34 | 38 | 39.4542854402311 | -1.45428544023108 |
35 | 33 | 38.8550109180093 | -5.85501091800928 |
36 | 43 | 40.0561657949634 | 2.94383420503662 |
37 | 41 | 36.5285560625576 | 4.47144393744243 |
38 | 49 | 39.8009992348549 | 9.19900076514515 |
39 | 45 | 41.4806688357801 | 3.51933116421995 |
40 | 31 | 39.1872898308094 | -8.18728983080944 |
41 | 30 | 39.1872898308094 | -9.18728983080944 |
42 | 38 | 40.6325365604575 | -2.63253656045754 |
43 | 39 | 40.2793194305002 | -1.27931943050021 |
44 | 40 | 40.2585757416688 | -0.258575741668787 |
45 | 36 | 36.7130562575857 | -0.713056257585715 |
46 | 49 | 42.506180809502 | 6.49381919049797 |
47 | 41 | 40.4253607133454 | 0.574639286654593 |
48 | 42 | 39.5178313086828 | 2.48216869131722 |
49 | 41 | 42.0618055016809 | -1.06180550168093 |
50 | 43 | 40.0049520881614 | 2.99504791183865 |
51 | 46 | 40.0924646392501 | 5.90753536074989 |
52 | 41 | 42.23355090209 | -1.23355090209000 |
53 | 39 | 40.097847700952 | -1.09784770095196 |
54 | 42 | 39.8299836939467 | 2.17001630605335 |
55 | 35 | 40.7167694097779 | -5.71676940977785 |
56 | 36 | 38.9159509539505 | -2.91595095395048 |
57 | 48 | 39.4160210563739 | 8.58397894362615 |
58 | 41 | 39.9487779526269 | 1.05122204737313 |
59 | 47 | 39.5068139489905 | 7.49318605100947 |
60 | 41 | 39.6029325555868 | 1.39706744441323 |
61 | 31 | 41.2175133814592 | -10.2175133814592 |
62 | 36 | 41.2648869331604 | -5.26488693316044 |
63 | 46 | 41.2601210327537 | 4.73987896724628 |
64 | 44 | 40.6839447955853 | 3.31605520441471 |
65 | 43 | 38.0915908329393 | 4.90840916706071 |
66 | 40 | 40.17106319058 | -0.171063190580029 |
67 | 40 | 39.5724625376162 | 0.42753746238383 |
68 | 46 | 37.8582315273311 | 8.14176847266893 |
69 | 39 | 40.4205948129387 | -1.42059481293868 |
70 | 44 | 41.2583835978269 | 2.74161640217311 |
71 | 38 | 37.5717832596311 | 0.42821674036892 |
72 | 39 | 39.414283621447 | -0.414283621447033 |
73 | 41 | 42.2720098142729 | -1.27200981427295 |
74 | 39 | 39.2721965493877 | -0.272196549387701 |
75 | 40 | 39.786758881357 | 0.213241118643025 |
76 | 44 | 40.3276992001481 | 3.67230079985193 |
77 | 42 | 39.4801840861207 | 2.51981591387931 |
78 | 46 | 42.0488561787361 | 3.95114382126388 |
79 | 44 | 40.0177068827804 | 3.98229311721957 |
80 | 37 | 40.4430759366969 | -3.44307593669693 |
81 | 39 | 38.2940007796447 | 0.705999220355303 |
82 | 40 | 38.8420615950645 | 1.15793840493553 |
83 | 42 | 39.5178313086828 | 2.48216869131722 |
84 | 37 | 39.3011236607572 | -2.30112366075721 |
85 | 33 | 38.7530628453374 | -5.75306284533743 |
86 | 35 | 39.7545514284595 | -4.75455142845955 |
87 | 42 | 36.8929850805329 | 5.10701491946713 |
88 | 36 | 35.4128959998605 | 0.587104000139514 |
89 | 44 | 40.0807972342125 | 3.9192027657875 |
90 | 45 | 39.8828668698226 | 5.11713313017744 |
91 | 47 | 40.8376688054637 | 6.16233119453627 |
92 | 40 | 40.7552350902808 | -0.755235090280824 |
93 | 49 | 38.8711481726115 | 10.1288518273885 |
94 | 48 | 42.5003962747737 | 5.4996037252263 |
95 | 29 | 41.5109399043595 | -12.5109399043595 |
96 | 45 | 42.7984334819481 | 2.20156651805187 |
97 | 29 | 35.2484256767422 | -6.24842567674217 |
98 | 41 | 41.0669989778105 | -0.0669989778105502 |
99 | 34 | 36.5149914999131 | -2.51499149991306 |
100 | 38 | 35.907473726388 | 2.09252627361203 |
101 | 37 | 38.1811690475746 | -1.18116904757464 |
102 | 48 | 44.7791771640503 | 3.22082283594965 |
103 | 39 | 41.4540231427896 | -2.45402314278962 |
104 | 34 | 39.0639653325826 | -5.0639653325826 |
105 | 35 | 36.2246240993669 | -1.22462409936689 |
106 | 41 | 39.3773647098507 | 1.62263529014931 |
107 | 43 | 40.9348219387913 | 2.06517806120869 |
108 | 41 | 38.7615067414195 | 2.23849325858051 |
109 | 39 | 35.7727400851593 | 3.22725991484069 |
110 | 36 | 40.7615150518722 | -4.7615150518722 |
111 | 32 | 41.7000337049487 | -9.70003370494865 |
112 | 46 | 40.5707581252158 | 5.42924187478417 |
113 | 42 | 41.319289501561 | 0.680710498439039 |
114 | 42 | 35.8124800880223 | 6.18751991197769 |
115 | 45 | 40.4339366143436 | 4.56606338565642 |
116 | 39 | 40.8627886518292 | -1.86278865182924 |
117 | 45 | 41.4477431811982 | 3.55225681880176 |
118 | 48 | 44.1110192695734 | 3.88898073042661 |
119 | 28 | 38.9849816957513 | -10.9849816957513 |
120 | 35 | 37.1016091553493 | -2.10160915534929 |
121 | 38 | 38.5765610437887 | -0.576561043788678 |
122 | 42 | 40.3273041652662 | 1.67269583473378 |
123 | 36 | 38.1242522860047 | -2.12425228600474 |
124 | 37 | 41.6075966687924 | -4.60759666879241 |
125 | 38 | 39.476578076493 | -1.47657807649300 |
126 | 43 | 39.0974253738542 | 3.90257462614578 |
127 | 35 | 33.8860965652806 | 1.11390343471943 |
128 | 36 | 40.4929412455571 | -4.49294124555707 |
129 | 33 | 35.6333896084065 | -2.63338960840651 |
130 | 39 | 38.5222008844282 | 0.477799115571802 |
131 | 32 | 40.7933119670766 | -8.79331196707659 |
132 | 45 | 39.3292845120816 | 5.67071548791841 |
133 | 35 | 40.7243316512186 | -5.72433165121862 |
134 | 38 | 38.4694762148061 | -0.469476214806086 |
135 | 36 | 37.8322217593913 | -1.83222175939134 |
136 | 42 | 38.3619226532577 | 3.63807734674233 |
137 | 41 | 39.8113299517552 | 1.18867004824482 |
138 | 47 | 37.6777547572464 | 9.32224524275364 |
139 | 35 | 37.7346715188163 | -2.73467151881626 |
140 | 43 | 37.4932777921814 | 5.50672220781863 |
141 | 40 | 39.9544037878899 | 0.0455962121100531 |
142 | 46 | 41.3762062631309 | 4.62379373686914 |
143 | 44 | 42.7984334819481 | 1.20156651805187 |
144 | 35 | 38.7045899798496 | -3.70458997984960 |
145 | 29 | 39.1506187760422 | -10.1506187760422 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.839064146569973 | 0.321871706860054 | 0.160935853430027 |
14 | 0.819316656074214 | 0.361366687851572 | 0.180683343925786 |
15 | 0.718067014927231 | 0.563865970145538 | 0.281932985072769 |
16 | 0.61303135927393 | 0.773937281452139 | 0.386968640726069 |
17 | 0.958907348804297 | 0.082185302391407 | 0.0410926511957035 |
18 | 0.951108017572725 | 0.0977839648545498 | 0.0488919824272749 |
19 | 0.933089920112493 | 0.133820159775014 | 0.0669100798875071 |
20 | 0.945430356658354 | 0.109139286683292 | 0.0545696433416459 |
21 | 0.94153942446569 | 0.116921151068620 | 0.0584605755343101 |
22 | 0.920650535249232 | 0.158698929501535 | 0.0793494647507677 |
23 | 0.886943524926092 | 0.226112950147816 | 0.113056475073908 |
24 | 0.862599100321135 | 0.274801799357731 | 0.137400899678865 |
25 | 0.824005102261382 | 0.351989795477236 | 0.175994897738618 |
26 | 0.771329325698651 | 0.457341348602697 | 0.228670674301349 |
27 | 0.79411638125317 | 0.41176723749366 | 0.20588361874683 |
28 | 0.937538145855239 | 0.124923708289523 | 0.0624618541447614 |
29 | 0.915264734833449 | 0.169470530333102 | 0.084735265166551 |
30 | 0.891234187920086 | 0.217531624159828 | 0.108765812079914 |
31 | 0.858345697091394 | 0.283308605817212 | 0.141654302908606 |
32 | 0.825006470903306 | 0.349987058193388 | 0.174993529096694 |
33 | 0.782055732168924 | 0.435888535662153 | 0.217944267831076 |
34 | 0.736094025790922 | 0.527811948418155 | 0.263905974209078 |
35 | 0.723467078913839 | 0.553065842172321 | 0.276532921086161 |
36 | 0.697365466759693 | 0.605269066480613 | 0.302634533240307 |
37 | 0.749599473011479 | 0.500801053977043 | 0.250400526988521 |
38 | 0.847403345608799 | 0.305193308782403 | 0.152596654391201 |
39 | 0.824055794383479 | 0.351888411233043 | 0.175944205616522 |
40 | 0.85313122565737 | 0.293737548685261 | 0.146868774342631 |
41 | 0.894992164181145 | 0.210015671637711 | 0.105007835818855 |
42 | 0.873034148128499 | 0.253931703743002 | 0.126965851871501 |
43 | 0.843842589225145 | 0.312314821549709 | 0.156157410774855 |
44 | 0.80952557982169 | 0.380948840356619 | 0.190474420178310 |
45 | 0.783549968391808 | 0.432900063216383 | 0.216450031608192 |
46 | 0.808892738777914 | 0.382214522444172 | 0.191107261222086 |
47 | 0.770559087061527 | 0.458881825876947 | 0.229440912938473 |
48 | 0.757919633640022 | 0.484160732719955 | 0.242080366359978 |
49 | 0.714183969317365 | 0.571632061365271 | 0.285816030682635 |
50 | 0.690413826513026 | 0.619172346973948 | 0.309586173486974 |
51 | 0.731461972074955 | 0.537076055850091 | 0.268538027925045 |
52 | 0.687398113698681 | 0.625203772602638 | 0.312601886301319 |
53 | 0.652277298213632 | 0.695445403572736 | 0.347722701786368 |
54 | 0.622783869333176 | 0.754432261333648 | 0.377216130666824 |
55 | 0.649401564258213 | 0.701196871483574 | 0.350598435741787 |
56 | 0.632986760964434 | 0.734026478071132 | 0.367013239035566 |
57 | 0.73424118243215 | 0.5315176351357 | 0.26575881756785 |
58 | 0.691539148124954 | 0.616921703750093 | 0.308460851875046 |
59 | 0.762134607196804 | 0.475730785606392 | 0.237865392803196 |
60 | 0.72371626091367 | 0.552567478172661 | 0.276283739086331 |
61 | 0.83048341675942 | 0.339033166481161 | 0.169516583240581 |
62 | 0.842735085369516 | 0.314529829260968 | 0.157264914630484 |
63 | 0.837415449501562 | 0.325169100996876 | 0.162584550498438 |
64 | 0.819823633187448 | 0.360352733625104 | 0.180176366812552 |
65 | 0.816022608814332 | 0.367954782371336 | 0.183977391185668 |
66 | 0.795780563412481 | 0.408438873175038 | 0.204219436587519 |
67 | 0.759517073247297 | 0.480965853505405 | 0.240482926752703 |
68 | 0.796827103068454 | 0.406345793863091 | 0.203172896931546 |
69 | 0.760899179395832 | 0.478201641208336 | 0.239100820604168 |
70 | 0.760634409839443 | 0.478731180321113 | 0.239365590160557 |
71 | 0.719620053924741 | 0.560759892150519 | 0.280379946075259 |
72 | 0.679779470007867 | 0.640441059984266 | 0.320220529992133 |
73 | 0.634327048196516 | 0.731345903606968 | 0.365672951803484 |
74 | 0.588148664162947 | 0.823702671674107 | 0.411851335837053 |
75 | 0.582702754346024 | 0.834594491307953 | 0.417297245653976 |
76 | 0.546866005365341 | 0.906267989269318 | 0.453133994634659 |
77 | 0.502569773713342 | 0.994860452573316 | 0.497430226286658 |
78 | 0.495273604525162 | 0.990547209050323 | 0.504726395474838 |
79 | 0.471595064338843 | 0.943190128677687 | 0.528404935661157 |
80 | 0.432770819305775 | 0.86554163861155 | 0.567229180694225 |
81 | 0.383473995467074 | 0.766947990934148 | 0.616526004532926 |
82 | 0.341597927081521 | 0.683195854163041 | 0.658402072918479 |
83 | 0.301004144316194 | 0.602008288632389 | 0.698995855683806 |
84 | 0.262401218299569 | 0.524802436599137 | 0.737598781700431 |
85 | 0.244941677408146 | 0.489883354816292 | 0.755058322591854 |
86 | 0.220163346007511 | 0.440326692015022 | 0.779836653992489 |
87 | 0.202212130407627 | 0.404424260815254 | 0.797787869592373 |
88 | 0.167808769483731 | 0.335617538967461 | 0.83219123051627 |
89 | 0.147698993465268 | 0.295397986930536 | 0.852301006534732 |
90 | 0.137793745340805 | 0.27558749068161 | 0.862206254659195 |
91 | 0.144813184887704 | 0.289626369775407 | 0.855186815112296 |
92 | 0.117114147610297 | 0.234228295220593 | 0.882885852389703 |
93 | 0.173809769513536 | 0.347619539027071 | 0.826190230486464 |
94 | 0.185386718359274 | 0.370773436718549 | 0.814613281640726 |
95 | 0.333513515356846 | 0.667027030713693 | 0.666486484643154 |
96 | 0.309353062465572 | 0.618706124931144 | 0.690646937534428 |
97 | 0.336011751849141 | 0.672023503698282 | 0.663988248150859 |
98 | 0.320742173599738 | 0.641484347199476 | 0.679257826400262 |
99 | 0.305669104501333 | 0.611338209002665 | 0.694330895498667 |
100 | 0.262837047949716 | 0.525674095899432 | 0.737162952050284 |
101 | 0.222678303678028 | 0.445356607356056 | 0.777321696321972 |
102 | 0.260912127100032 | 0.521824254200063 | 0.739087872899968 |
103 | 0.222951722082358 | 0.445903444164716 | 0.777048277917642 |
104 | 0.248934734799144 | 0.497869469598288 | 0.751065265200856 |
105 | 0.218679282299213 | 0.437358564598427 | 0.781320717700787 |
106 | 0.187633757451699 | 0.375267514903398 | 0.812366242548301 |
107 | 0.157381034257394 | 0.314762068514789 | 0.842618965742606 |
108 | 0.130206166546045 | 0.260412333092090 | 0.869793833453955 |
109 | 0.106764808875465 | 0.213529617750931 | 0.893235191124535 |
110 | 0.0970581699412878 | 0.194116339882576 | 0.902941830058712 |
111 | 0.200014629223612 | 0.400029258447223 | 0.799985370776388 |
112 | 0.203653111741878 | 0.407306223483757 | 0.796346888258122 |
113 | 0.161646526531079 | 0.323293053062158 | 0.838353473468921 |
114 | 0.167228840216952 | 0.334457680433905 | 0.832771159783048 |
115 | 0.153984386728712 | 0.307968773457423 | 0.846015613271288 |
116 | 0.1216531389684 | 0.2433062779368 | 0.8783468610316 |
117 | 0.101913036406928 | 0.203826072813856 | 0.898086963593072 |
118 | 0.101169060712949 | 0.202338121425898 | 0.898830939287051 |
119 | 0.23892414940937 | 0.47784829881874 | 0.76107585059063 |
120 | 0.192392194071357 | 0.384784388142714 | 0.807607805928643 |
121 | 0.144473350552784 | 0.288946701105567 | 0.855526649447216 |
122 | 0.116240321115842 | 0.232480642231684 | 0.883759678884158 |
123 | 0.0854874894799212 | 0.170974978959842 | 0.914512510520079 |
124 | 0.0679990819732851 | 0.135998163946570 | 0.932000918026715 |
125 | 0.0464318176632314 | 0.0928636353264629 | 0.953568182336769 |
126 | 0.0400015937282922 | 0.0800031874565844 | 0.959998406271708 |
127 | 0.0238982130383653 | 0.0477964260767306 | 0.976101786961635 |
128 | 0.0173920647558020 | 0.0347841295116039 | 0.982607935244198 |
129 | 0.0142722202209904 | 0.0285444404419807 | 0.98572777977901 |
130 | 0.00808673661285469 | 0.0161734732257094 | 0.991913263387145 |
131 | 0.0222373387352303 | 0.0444746774704606 | 0.97776266126477 |
132 | 0.0101899821557542 | 0.0203799643115083 | 0.989810017844246 |
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 | 6 | 0.05 | NOK |
10% type I error level | 10 | 0.0833333333333333 | OK |