Multiple Linear Regression - Estimated Regression Equation |
Career[t] = + 32.4711075468022 -1.86339575161424G[t] + 0.191031539247891PersonalStandards[t] -0.0540144402593811PeG[t] -0.173665001512474ParentalExpectations[t] + 0.534242117931472PaG[t] -0.248653021388442Doubts[t] + 0.140966318180626DoG[t] + 2.38392162985542LeadershipPreference[t] -1.98395184485659LeaderG[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) | 32.4711075468022 | 4.193313 | 7.7435 | 0 | 0 |
G | -1.86339575161424 | 6.397871 | -0.2913 | 0.771302 | 0.385651 |
PersonalStandards | 0.191031539247891 | 0.144457 | 1.3224 | 0.188251 | 0.094125 |
PeG | -0.0540144402593811 | 0.204208 | -0.2645 | 0.79179 | 0.395895 |
ParentalExpectations | -0.173665001512474 | 0.168811 | -1.0288 | 0.305423 | 0.152711 |
PaG | 0.534242117931472 | 0.249807 | 2.1386 | 0.034254 | 0.017127 |
Doubts | -0.248653021388442 | 0.215297 | -1.1549 | 0.250145 | 0.125072 |
DoG | 0.140966318180626 | 0.300314 | 0.4694 | 0.639538 | 0.319769 |
LeadershipPreference | 2.38392162985542 | 0.718795 | 3.3166 | 0.001169 | 0.000584 |
LeaderG | -1.98395184485659 | 0.949644 | -2.0892 | 0.038557 | 0.019279 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.473114760725264 |
R-squared | 0.223837576816124 |
Adjusted R-squared | 0.172473887046603 |
F-TEST (value) | 4.35789519445598 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 136 |
p-value | 5.2233134229529e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.80633728614537 |
Sum Squared Residuals | 3141.71942271400 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 41 | 39.5558087023827 | 1.44419129761735 |
2 | 38 | 41.9397303322381 | -3.93973033223809 |
3 | 37 | 40.9672060982632 | -3.96720609826321 |
4 | 36 | 35.9721164662594 | 0.0278835337406244 |
5 | 42 | 37.4181762555039 | 4.58182374449607 |
6 | 44 | 41.3563921558749 | 2.64360784412506 |
7 | 40 | 37.1608324910188 | 2.83916750898119 |
8 | 43 | 42.1133953337506 | 0.88660466624944 |
9 | 40 | 41.7550212170153 | -1.75502121701532 |
10 | 45 | 41.2000936920979 | 3.79990630790212 |
11 | 47 | 38.3297183056772 | 8.67028169432282 |
12 | 45 | 45.6774387194733 | -0.677438719473339 |
13 | 45 | 41.98630807651 | 3.01369192348996 |
14 | 40 | 40.2960548447412 | -0.296054844741168 |
15 | 49 | 39.3418779128252 | 9.65812208717478 |
16 | 48 | 44.5104308582309 | 3.48956914176914 |
17 | 44 | 42.831744301561 | 1.16825569843900 |
18 | 29 | 37.8013454255889 | -8.80134542558888 |
19 | 42 | 39.8691957172295 | 2.13080428277054 |
20 | 45 | 44.1389428468707 | 0.861057153129264 |
21 | 32 | 39.5359369730559 | -7.53593697305588 |
22 | 32 | 39.5359369730559 | -7.53593697305588 |
23 | 41 | 43.8263567629565 | -2.82635676295646 |
24 | 29 | 37.6591287341317 | -8.6591287341317 |
25 | 38 | 41.2569146191476 | -3.25691461914761 |
26 | 41 | 41.6965991797839 | -0.696599179783944 |
27 | 38 | 37.3609637328426 | 0.639036267157348 |
28 | 24 | 37.3100621594119 | -13.3100621594119 |
29 | 34 | 36.1807515305603 | -2.18075153056026 |
30 | 38 | 36.7859028594371 | 1.21409714056288 |
31 | 37 | 36.7244767566623 | 0.275523243337651 |
32 | 46 | 44.2360187183256 | 1.76398128167440 |
33 | 48 | 41.2849323263256 | 6.71506767367439 |
34 | 42 | 41.4021693450561 | 0.59783065494393 |
35 | 46 | 42.2120723153871 | 3.78792768461293 |
36 | 43 | 38.6143342869319 | 4.38566571306814 |
37 | 38 | 41.7139657175194 | -3.71396571751936 |
38 | 39 | 38.2989396409964 | 0.701060359003616 |
39 | 34 | 40.3665017600063 | -6.36650176000635 |
40 | 39 | 39.9670721437751 | -0.967072143775147 |
41 | 35 | 35.7249452024452 | -0.724945202445207 |
42 | 41 | 39.2254050074509 | 1.77459499254913 |
43 | 40 | 38.4129372934348 | 1.58706270656523 |
44 | 43 | 37.2306849759689 | 5.76931502403111 |
45 | 37 | 36.3730278400649 | 0.626972159935151 |
46 | 41 | 41.7542206619245 | -0.754220661924494 |
47 | 46 | 42.4031038546350 | 3.59689614536504 |
48 | 26 | 37.3576398021583 | -11.3576398021583 |
49 | 41 | 37.6316740001353 | 3.36832599986472 |
50 | 37 | 40.0247040937138 | -3.02470409371384 |
51 | 39 | 40.7936490601487 | -1.79364906014868 |
52 | 44 | 44.0694770717708 | -0.0694770717707643 |
53 | 39 | 36.3051627993048 | 2.69483720069517 |
54 | 36 | 40.490284466391 | -4.49028446639096 |
55 | 38 | 36.8711344379326 | 1.12886556206745 |
56 | 38 | 38.4576907341857 | -0.457690734185748 |
57 | 38 | 41.3563921558749 | -3.35639215587494 |
58 | 32 | 38.5157613163121 | -6.51576131631212 |
59 | 33 | 37.8845644133465 | -4.88456441334646 |
60 | 46 | 37.6725149376152 | 8.32748506238478 |
61 | 42 | 42.2696937975276 | -0.269693797527617 |
62 | 42 | 35.8994107590485 | 6.1005892409515 |
63 | 43 | 41.5821567705937 | 1.41784322940633 |
64 | 41 | 36.3980927163545 | 4.60190728364549 |
65 | 49 | 42.7962106709993 | 6.20378932900066 |
66 | 45 | 36.59223022041 | 8.40776977959003 |
67 | 39 | 41.8473757746267 | -2.8473757746267 |
68 | 45 | 38.9224694434257 | 6.0775305565743 |
69 | 31 | 37.2760754552999 | -6.27607545529991 |
70 | 30 | 37.2760754552999 | -7.27607545529991 |
71 | 45 | 43.0575089162797 | 1.94249108372028 |
72 | 48 | 45.4232634533089 | 2.5767365466911 |
73 | 28 | 39.3071448373544 | -11.3071448373544 |
74 | 35 | 37.1024209215856 | -2.10242092158558 |
75 | 38 | 41.3090142323539 | -3.30901423235386 |
76 | 39 | 38.2777958562305 | 0.722204143769454 |
77 | 40 | 39.0561626117298 | 0.943837388270175 |
78 | 38 | 38.4100423924829 | -0.410042392482929 |
79 | 42 | 40.3657008290738 | 1.63429917092617 |
80 | 36 | 34.4240586133624 | 1.57594138663755 |
81 | 49 | 47.0493921938377 | 1.95060780616228 |
82 | 41 | 42.1370842955111 | -1.1370842955111 |
83 | 18 | 35.5749691626933 | -17.5749691626933 |
84 | 36 | 38.5493519480278 | -2.54935194802778 |
85 | 42 | 39.8552457591108 | 2.14475424088924 |
86 | 41 | 40.8330417287285 | 0.166958271271491 |
87 | 43 | 41.0256281354946 | 1.97437186450541 |
88 | 46 | 39.4223986452753 | 6.57760135472467 |
89 | 37 | 38.326821767877 | -1.32682176787697 |
90 | 38 | 37.9840645055394 | 0.0159354944605742 |
91 | 43 | 40.2678247783698 | 2.73217522163016 |
92 | 41 | 44.3986399819695 | -3.39863998196947 |
93 | 35 | 34.741859113163 | 0.258140886837005 |
94 | 39 | 42.831744301561 | -3.831744301561 |
95 | 42 | 39.8344626417586 | 2.16553735824137 |
96 | 36 | 41.1819265992716 | -5.18192659927164 |
97 | 35 | 38.880181873894 | -3.88018187389403 |
98 | 33 | 34.821887119412 | -1.821887119412 |
99 | 36 | 37.7394489776968 | -1.73944897769678 |
100 | 48 | 40.6080314264372 | 7.39196857356285 |
101 | 41 | 41.2569146191476 | -0.256914619147610 |
102 | 47 | 41.8312171780897 | 5.16878282191029 |
103 | 41 | 38.7340610632506 | 2.26593893674945 |
104 | 31 | 37.5570690162767 | -6.55706901627673 |
105 | 36 | 41.2422173639098 | -5.24221736390976 |
106 | 46 | 40.7936490601487 | 5.20635093985132 |
107 | 39 | 37.1408197636909 | 1.85918023630911 |
108 | 44 | 41.424257196635 | 2.57574280336504 |
109 | 43 | 37.3504740671593 | 5.64952593284066 |
110 | 32 | 42.4788924296017 | -10.4788924296017 |
111 | 40 | 38.1378838562902 | 1.86211614370981 |
112 | 40 | 39.0229690290441 | 0.977030970955874 |
113 | 46 | 37.4789512875072 | 8.52104871249278 |
114 | 45 | 39.561330571317 | 5.43866942868303 |
115 | 39 | 42.4836137434452 | -3.48361374344522 |
116 | 44 | 43.3227279203128 | 0.677272079687243 |
117 | 35 | 41.2395480814122 | -6.23954808141219 |
118 | 38 | 38.5722403546975 | -0.572240354697498 |
119 | 38 | 35.6673237203047 | 2.33267627969534 |
120 | 36 | 35.7879491174087 | 0.212050882591279 |
121 | 42 | 38.2998983715485 | 3.70010162845148 |
122 | 39 | 42.3383590175368 | -3.33835901753677 |
123 | 41 | 40.7464988102865 | 0.253501189713468 |
124 | 41 | 40.3949120356104 | 0.605087964389639 |
125 | 47 | 37.9470464995893 | 9.05295350041073 |
126 | 39 | 38.4862085969529 | 0.513791403047067 |
127 | 40 | 39.2879092401752 | 0.712090759824831 |
128 | 44 | 40.6774975773788 | 3.32250242262119 |
129 | 42 | 40.9727279671975 | 1.02727203280249 |
130 | 35 | 39.1326432573727 | -4.13264325737266 |
131 | 46 | 44.3418190549197 | 1.65818094508025 |
132 | 43 | 37.0066975656542 | 5.99330243434577 |
133 | 40 | 37.703293602296 | 2.29670639770398 |
134 | 44 | 41.2750817119738 | 2.72491828802615 |
135 | 37 | 38.9989500890685 | -1.99895008906854 |
136 | 46 | 38.3561521636577 | 7.64384783634233 |
137 | 44 | 44.1389428468707 | -0.138942846870735 |
138 | 35 | 38.7569494699203 | -3.75694946992027 |
139 | 39 | 38.1778667343050 | 0.822133265694958 |
140 | 40 | 38.5090970036226 | 1.49090299637735 |
141 | 42 | 39.8552457591108 | 2.14475424088924 |
142 | 37 | 37.6821481806818 | -0.682148180681815 |
143 | 29 | 39.1230100143061 | -10.1230100143061 |
144 | 33 | 38.1110193317288 | -5.1110193317288 |
145 | 35 | 37.0575991390849 | -2.05759913908494 |
146 | 42 | 36.1355674232284 | 5.86443257677163 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.138597162388021 | 0.277194324776042 | 0.861402837611979 |
14 | 0.0545768614944916 | 0.109153722988983 | 0.945423138505508 |
15 | 0.324342990571369 | 0.648685981142738 | 0.675657009428631 |
16 | 0.211616583197529 | 0.423233166395059 | 0.78838341680247 |
17 | 0.144403910141993 | 0.288807820283986 | 0.855596089858007 |
18 | 0.161867375537669 | 0.323734751075338 | 0.838132624462331 |
19 | 0.163608217717723 | 0.327216435435445 | 0.836391782282277 |
20 | 0.106716746252957 | 0.213433492505915 | 0.893283253747043 |
21 | 0.659110689022468 | 0.681778621955065 | 0.340889310977532 |
22 | 0.610288165462973 | 0.779423669074054 | 0.389711834537027 |
23 | 0.533922055284988 | 0.932155889430024 | 0.466077944715012 |
24 | 0.674333633421152 | 0.651332733157695 | 0.325666366578848 |
25 | 0.632306221623772 | 0.735387556752456 | 0.367693778376228 |
26 | 0.557921294231796 | 0.884157411536407 | 0.442078705768204 |
27 | 0.489056177505178 | 0.978112355010355 | 0.510943822494822 |
28 | 0.615198504918122 | 0.769602990163756 | 0.384801495081878 |
29 | 0.605628801303089 | 0.788742397393821 | 0.394371198696911 |
30 | 0.541230380386176 | 0.917539239227647 | 0.458769619613824 |
31 | 0.547626438042494 | 0.904747123915011 | 0.452373561957506 |
32 | 0.510599074217097 | 0.978801851565806 | 0.489400925782903 |
33 | 0.486541887991732 | 0.973083775983463 | 0.513458112008268 |
34 | 0.424177502965508 | 0.848355005931017 | 0.575822497034492 |
35 | 0.402957739834935 | 0.80591547966987 | 0.597042260165065 |
36 | 0.662822332064316 | 0.674355335871368 | 0.337177667935684 |
37 | 0.636379758288642 | 0.727240483422717 | 0.363620241711358 |
38 | 0.578692658908737 | 0.842614682182526 | 0.421307341091263 |
39 | 0.679413824380631 | 0.641172351238739 | 0.320586175619369 |
40 | 0.635931371075282 | 0.728137257849435 | 0.364068628924718 |
41 | 0.579749656907653 | 0.840500686184694 | 0.420250343092347 |
42 | 0.530034443583107 | 0.939931112833785 | 0.469965556416893 |
43 | 0.511331593679631 | 0.977336812640737 | 0.488668406320369 |
44 | 0.525327622439185 | 0.94934475512163 | 0.474672377560815 |
45 | 0.473210080652198 | 0.946420161304395 | 0.526789919347802 |
46 | 0.418335897205198 | 0.836671794410397 | 0.581664102794802 |
47 | 0.392804554960412 | 0.785609109920825 | 0.607195445039588 |
48 | 0.613836987795549 | 0.772326024408903 | 0.386163012204451 |
49 | 0.600285888197202 | 0.799428223605596 | 0.399714111802798 |
50 | 0.566773679203294 | 0.866452641593413 | 0.433226320796706 |
51 | 0.518937117549722 | 0.962125764900555 | 0.481062882450277 |
52 | 0.46537573771721 | 0.93075147543442 | 0.53462426228279 |
53 | 0.427530489476855 | 0.85506097895371 | 0.572469510523145 |
54 | 0.413841508477174 | 0.827683016954349 | 0.586158491522826 |
55 | 0.36682917303284 | 0.73365834606568 | 0.63317082696716 |
56 | 0.321757638455291 | 0.643515276910583 | 0.678242361544709 |
57 | 0.310666794861079 | 0.621333589722158 | 0.689333205138921 |
58 | 0.367239769127014 | 0.734479538254028 | 0.632760230872986 |
59 | 0.356672222312653 | 0.713344444625306 | 0.643327777687347 |
60 | 0.477969904108995 | 0.95593980821799 | 0.522030095891005 |
61 | 0.427099774761699 | 0.854199549523397 | 0.572900225238301 |
62 | 0.456654515994874 | 0.913309031989748 | 0.543345484005126 |
63 | 0.415505287372566 | 0.831010574745131 | 0.584494712627434 |
64 | 0.464913438486898 | 0.929826876973796 | 0.535086561513102 |
65 | 0.504710587070479 | 0.990578825859042 | 0.495289412929521 |
66 | 0.571660532547544 | 0.856678934904912 | 0.428339467452456 |
67 | 0.540508357478957 | 0.918983285042086 | 0.459491642521043 |
68 | 0.571160191993693 | 0.857679616012614 | 0.428839808006307 |
69 | 0.615644048383365 | 0.76871190323327 | 0.384355951616635 |
70 | 0.688649828905563 | 0.622700342188873 | 0.311350171094436 |
71 | 0.662432870110273 | 0.675134259779453 | 0.337567129889727 |
72 | 0.634162311299532 | 0.731675377400936 | 0.365837688700468 |
73 | 0.817695888436467 | 0.364608223127065 | 0.182304111563533 |
74 | 0.786072862367028 | 0.427854275265944 | 0.213927137632972 |
75 | 0.776374595726135 | 0.447250808547729 | 0.223625404273865 |
76 | 0.738309603185842 | 0.523380793628315 | 0.261690396814158 |
77 | 0.698359163044077 | 0.603281673911846 | 0.301640836955923 |
78 | 0.658277051775618 | 0.683445896448764 | 0.341722948224382 |
79 | 0.623425434527344 | 0.753149130945312 | 0.376574565472656 |
80 | 0.592536432834156 | 0.814927134331688 | 0.407463567165844 |
81 | 0.57996496728415 | 0.840070065431699 | 0.420035032715850 |
82 | 0.535190533668387 | 0.929618932663226 | 0.464809466331613 |
83 | 0.95091046524874 | 0.098179069502519 | 0.0490895347512595 |
84 | 0.940666409025855 | 0.118667181948291 | 0.0593335909741454 |
85 | 0.93017164037499 | 0.139656719250019 | 0.0698283596250095 |
86 | 0.913144970716923 | 0.173710058566155 | 0.0868550292830775 |
87 | 0.894907828294658 | 0.210184343410685 | 0.105092171705342 |
88 | 0.917156836261013 | 0.165686327477973 | 0.0828431637389866 |
89 | 0.896901918125421 | 0.206196163749158 | 0.103098081874579 |
90 | 0.87101358821758 | 0.257972823564838 | 0.128986411782419 |
91 | 0.848119391299544 | 0.303761217400913 | 0.151880608700456 |
92 | 0.837020221034797 | 0.325959557930406 | 0.162979778965203 |
93 | 0.823255492924053 | 0.353489014151894 | 0.176744507075947 |
94 | 0.80373522028936 | 0.39252955942128 | 0.19626477971064 |
95 | 0.766973996193153 | 0.466052007613695 | 0.233026003806847 |
96 | 0.773998476971019 | 0.452003046057963 | 0.226001523028981 |
97 | 0.752393430274116 | 0.495213139451768 | 0.247606569725884 |
98 | 0.793166688951802 | 0.413666622096396 | 0.206833311048198 |
99 | 0.794705380048825 | 0.410589239902351 | 0.205294619951175 |
100 | 0.818512477761955 | 0.362975044476089 | 0.181487522238045 |
101 | 0.779097979897869 | 0.441804040204263 | 0.220902020102131 |
102 | 0.789197318745428 | 0.421605362509144 | 0.210802681254572 |
103 | 0.750319615578945 | 0.49936076884211 | 0.249680384421055 |
104 | 0.786940202472244 | 0.426119595055511 | 0.213059797527756 |
105 | 0.779983417486347 | 0.440033165027306 | 0.220016582513653 |
106 | 0.823767514890454 | 0.352464970219092 | 0.176232485109546 |
107 | 0.783771049509942 | 0.432457900980115 | 0.216228950490058 |
108 | 0.740324374493805 | 0.51935125101239 | 0.259675625506195 |
109 | 0.731124732711183 | 0.537750534577635 | 0.268875267288817 |
110 | 0.865961177390249 | 0.268077645219503 | 0.134038822609751 |
111 | 0.83075926313239 | 0.338481473735220 | 0.169240736867610 |
112 | 0.79081141340138 | 0.41837717319724 | 0.20918858659862 |
113 | 0.858680760483472 | 0.282638479033056 | 0.141319239516528 |
114 | 0.854979967733835 | 0.290040064532329 | 0.145020032266165 |
115 | 0.822606409714813 | 0.354787180570375 | 0.177393590285187 |
116 | 0.782695383518474 | 0.434609232963052 | 0.217304616481526 |
117 | 0.824905428711078 | 0.350189142577844 | 0.175094571288922 |
118 | 0.772261105270916 | 0.455477789458169 | 0.227738894729084 |
119 | 0.713960234233319 | 0.572079531533362 | 0.286039765766681 |
120 | 0.674869939609651 | 0.650260120780698 | 0.325130060390349 |
121 | 0.62356944875981 | 0.75286110248038 | 0.37643055124019 |
122 | 0.579224635115138 | 0.841550729769724 | 0.420775364884862 |
123 | 0.558392323832602 | 0.883215352334796 | 0.441607676167398 |
124 | 0.569262057225896 | 0.861475885548207 | 0.430737942774104 |
125 | 0.547251846576069 | 0.905496306847863 | 0.452748153423931 |
126 | 0.46439739660428 | 0.92879479320856 | 0.53560260339572 |
127 | 0.422785364779619 | 0.845570729559238 | 0.577214635220381 |
128 | 0.335326298422462 | 0.670652596844923 | 0.664673701577538 |
129 | 0.244356538327140 | 0.488713076654281 | 0.75564346167286 |
130 | 0.170764273455846 | 0.341528546911692 | 0.829235726544154 |
131 | 0.106034373907508 | 0.212068747815016 | 0.893965626092492 |
132 | 0.0718381973307419 | 0.143676394661484 | 0.928161802669258 |
133 | 0.0352012167512303 | 0.0704024335024607 | 0.96479878324877 |
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 | 2 | 0.0165289256198347 | OK |