Multiple Linear Regression - Estimated Regression Equation |
Career[t] = + 35.6197069170407 -4.20093745979937G[t] + 0.303034366183493PersonalStandards[t] -0.109468762466678PeG[t] + 0.412309083181142ParentalExpectations[t] -0.276661343000588PaG[t] -0.0970531156282461Doubts[t] -0.10921706564172DoG[t] + 0.357180220712839LeadershipPreference[t] + 0.848010745963901LeaderG[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 | 5.512777 | 6.4613 | 0 | 0 |
G | -4.20093745979937 | 6.906744 | -0.6082 | 0.544045 | 0.272022 |
PersonalStandards | 0.303034366183493 | 0.322788 | 0.9388 | 0.349496 | 0.174748 |
PeG | -0.109468762466678 | 0.219679 | -0.4983 | 0.619068 | 0.309534 |
ParentalExpectations | 0.412309083181142 | 0.424045 | 0.9723 | 0.332615 | 0.166308 |
PaG | -0.276661343000588 | 0.28108 | -0.9843 | 0.326726 | 0.163363 |
Doubts | -0.0970531156282461 | 0.498395 | -0.1947 | 0.845894 | 0.422947 |
DoG | -0.10921706564172 | 0.32723 | -0.3338 | 0.739073 | 0.369536 |
LeadershipPreference | 0.357180220712839 | 1.478073 | 0.2417 | 0.809413 | 0.404707 |
LeaderG | 0.848010745963901 | 1.062575 | 0.7981 | 0.426221 | 0.21311 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.383762411540398 |
R-squared | 0.147273588511302 |
Adjusted R-squared | 0.0908431642216089 |
F-TEST (value) | 2.60982600016 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 136 |
p-value | 0.00822614597671567 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 5.03782172596273 |
Sum Squared Residuals | 3451.63209299117 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 41 | 40.0517669214705 | 0.948233078529488 |
2 | 38 | 41.2569578881473 | -3.25695788814727 |
3 | 37 | 39.9599165256658 | -2.95991652566583 |
4 | 36 | 35.4128959998605 | 0.587104000139511 |
5 | 42 | 39.4300301424968 | 2.56996985750324 |
6 | 44 | 40.0807972342125 | 3.91920276578751 |
7 | 40 | 38.8339578469588 | 1.16604215304124 |
8 | 43 | 41.1213101479667 | 1.87868985203328 |
9 | 40 | 39.9146953574515 | 0.0853046425485062 |
10 | 45 | 39.8828668698226 | 5.11713313017744 |
11 | 47 | 40.8376688054637 | 6.16233119453627 |
12 | 45 | 44.3200828975791 | 0.679917102420903 |
13 | 45 | 43.2195333739783 | 1.78046662602166 |
14 | 40 | 40.7552350902808 | -0.755235090280827 |
15 | 49 | 38.8711481726115 | 10.1288518273885 |
16 | 48 | 42.5003962747737 | 5.49960372522629 |
17 | 44 | 39.7592356041629 | 4.24076439583709 |
18 | 29 | 41.5109399043595 | -12.5109399043595 |
19 | 42 | 40.413575443516 | 1.58642455648402 |
20 | 45 | 42.7984334819481 | 2.20156651805187 |
21 | 32 | 41.778313011923 | -9.77831301192297 |
22 | 32 | 41.778313011923 | -9.77831301192297 |
23 | 41 | 44.012097508397 | -3.01209750839702 |
24 | 29 | 35.2484256767422 | -6.24842567674218 |
25 | 38 | 39.6759164677516 | -1.67591646775157 |
26 | 41 | 41.0669989778105 | -0.0669989778105496 |
27 | 38 | 39.6688090321967 | -1.66880903219669 |
28 | 24 | 37.8844236656949 | -13.8844236656949 |
29 | 34 | 36.5149914999131 | -2.51499149991307 |
30 | 38 | 35.907473726388 | 2.09252627361203 |
31 | 37 | 38.1811690475746 | -1.18116904757464 |
32 | 46 | 40.9898436081772 | 5.01015639182283 |
33 | 48 | 44.7791771640504 | 3.22082283594965 |
34 | 42 | 41.1609262919516 | 0.83907370804844 |
35 | 46 | 40.6437444863356 | 5.35625551366436 |
36 | 43 | 39.9401909822759 | 3.05980901772408 |
37 | 38 | 40.4049655966357 | -2.40496559663572 |
38 | 39 | 41.4540231427896 | -2.45402314278962 |
39 | 34 | 39.0639653325826 | -5.0639653325826 |
40 | 39 | 40.1097712547249 | -1.10977125472492 |
41 | 35 | 36.2246240993669 | -1.22462409936689 |
42 | 41 | 39.3773647098507 | 1.6226352901493 |
43 | 40 | 38.7491205347596 | 1.25087946524041 |
44 | 43 | 40.9348219387913 | 2.06517806120869 |
45 | 37 | 37.4138868521318 | -0.413886852131793 |
46 | 41 | 40.0884568302915 | 0.911543169708499 |
47 | 46 | 40.8373100900525 | 5.16268990994754 |
48 | 26 | 37.9027332674775 | -11.9027332674775 |
49 | 41 | 38.7615067414195 | 2.2384932585805 |
50 | 37 | 38.6571836692368 | -1.65718366923676 |
51 | 39 | 41.5282533685084 | -2.52825336850838 |
52 | 44 | 43.230814127693 | 0.769185872306996 |
53 | 39 | 35.7727400851593 | 3.22725991484068 |
54 | 36 | 40.7615150518722 | -4.7615150518722 |
55 | 38 | 37.6526657418317 | 0.347334258168281 |
56 | 38 | 37.5904802081863 | 0.409519791813675 |
57 | 38 | 39.0245893332805 | -1.02458933328049 |
58 | 32 | 41.7000337049487 | -9.70003370494865 |
59 | 33 | 38.2192420338218 | -5.21924203382175 |
60 | 46 | 40.5707581252158 | 5.42924187478417 |
61 | 42 | 41.319289501561 | 0.680710498439038 |
62 | 42 | 35.8124800880223 | 6.18751991197769 |
63 | 43 | 39.876581624792 | 3.12341837520796 |
64 | 41 | 35.2084377459279 | 5.79156225407208 |
65 | 49 | 39.2745703892082 | 9.72542961079182 |
66 | 45 | 40.4339366143436 | 4.56606338565641 |
67 | 39 | 40.8627886518292 | -1.86278865182924 |
68 | 45 | 41.7132877128318 | 3.28671228716817 |
69 | 31 | 38.8593670020651 | -7.85936700206507 |
70 | 30 | 38.8593670020651 | -8.85936700206507 |
71 | 45 | 41.4477431811982 | 3.55225681880176 |
72 | 48 | 44.1110192695734 | 3.88898073042661 |
73 | 28 | 38.9849816957513 | -10.9849816957513 |
74 | 35 | 37.1016091553493 | -2.1016091553493 |
75 | 38 | 40.6635564994437 | -2.66355649944368 |
76 | 39 | 40.1082609611683 | -1.10826096116831 |
77 | 40 | 40.1407775518295 | -0.140777551829492 |
78 | 38 | 38.5765610437887 | -0.576561043788673 |
79 | 42 | 40.3273041652662 | 1.67269583473379 |
80 | 36 | 35.4472166356278 | 0.552783364372157 |
81 | 49 | 42.9056876322373 | 6.0943123677627 |
82 | 41 | 40.3018265648851 | 0.698173435114875 |
83 | 18 | 35.8074362766298 | -17.8074362766298 |
84 | 36 | 38.1242522860047 | -2.12425228600474 |
85 | 42 | 39.2917114954818 | 2.70828850451819 |
86 | 41 | 42.5977965950046 | -1.59779659500457 |
87 | 43 | 39.798859630379 | 3.20114036962103 |
88 | 46 | 39.8709058953069 | 6.12909410469313 |
89 | 37 | 41.6075966687924 | -4.60759666879241 |
90 | 38 | 39.476578076493 | -1.47657807649301 |
91 | 43 | 39.0974253738542 | 3.90257462614578 |
92 | 41 | 42.8040667762745 | -1.80406677627453 |
93 | 35 | 33.8860965652806 | 1.11390343471943 |
94 | 39 | 39.7592356041629 | -0.75923560416291 |
95 | 42 | 39.7551487557213 | 2.24485124427875 |
96 | 36 | 40.4929412455571 | -4.49294124555707 |
97 | 35 | 40.7977804157857 | -5.79778041578574 |
98 | 33 | 35.6333896084065 | -2.63338960840652 |
99 | 36 | 38.4397192039703 | -2.43971920397025 |
100 | 48 | 38.9270632079906 | 9.07293679200939 |
101 | 41 | 39.6759164677516 | 1.32408353224843 |
102 | 47 | 39.4669832618784 | 7.53301673812158 |
103 | 41 | 39.2647999290501 | 1.73520007094988 |
104 | 31 | 41.1763017763391 | -10.1763017763391 |
105 | 36 | 41.6257873760295 | -5.62578737602948 |
106 | 46 | 41.5282533685084 | 4.47174663149162 |
107 | 39 | 38.5222008844282 | 0.477799115571808 |
108 | 44 | 40.68896565455 | 3.31103434545002 |
109 | 43 | 37.2472249326154 | 5.75277506738456 |
110 | 32 | 40.7933119670766 | -8.79331196707659 |
111 | 40 | 40.0687312869016 | -0.0687312869015939 |
112 | 40 | 39.1545613439759 | 0.845438656024131 |
113 | 46 | 36.929300224664 | 9.07069977533604 |
114 | 45 | 39.3292845120816 | 5.6707154879184 |
115 | 39 | 40.204292557364 | -1.20429255736402 |
116 | 44 | 41.3204728936818 | 2.67952710631819 |
117 | 35 | 40.7243316512186 | -5.72433165121862 |
118 | 38 | 38.4694762148061 | -0.469476214806086 |
119 | 38 | 36.4785675419777 | 1.52143245802232 |
120 | 36 | 37.8322217593913 | -1.83222175939133 |
121 | 42 | 38.3619226532577 | 3.63807734674233 |
122 | 39 | 38.719282733164 | 0.280717266835965 |
123 | 41 | 42.8492800622576 | -1.84928006225764 |
124 | 41 | 39.8113299517552 | 1.18867004824482 |
125 | 47 | 37.6777547572464 | 9.32224524275363 |
126 | 39 | 38.8847682749401 | 0.115231725059853 |
127 | 40 | 39.612401462217 | 0.387598537782964 |
128 | 44 | 40.2439165835801 | 3.75608341641991 |
129 | 42 | 38.9849810715269 | 3.01501892847313 |
130 | 35 | 37.7346715188163 | -2.73467151881626 |
131 | 46 | 42.6176007258814 | 3.38239927411862 |
132 | 43 | 37.4932777921814 | 5.50672220781863 |
133 | 40 | 39.9544037878899 | 0.0455962121100556 |
134 | 44 | 39.8313683388089 | 4.16863166119107 |
135 | 37 | 40.3795564415294 | -3.37955644152942 |
136 | 46 | 41.3762062631309 | 4.62379373686914 |
137 | 44 | 42.7984334819481 | 1.20156651805187 |
138 | 35 | 38.7045899798496 | -3.7045899798496 |
139 | 39 | 37.5114208596529 | 1.48857914034711 |
140 | 40 | 38.2390461646986 | 1.76095383530144 |
141 | 42 | 39.2917114954818 | 2.70828850451819 |
142 | 37 | 38.7349135458811 | -1.73491354588106 |
143 | 29 | 39.1506187760422 | -10.1506187760421 |
144 | 33 | 38.0072882408354 | -5.00728824083539 |
145 | 35 | 39.2943824023162 | -4.29438240231621 |
146 | 42 | 35.5361486784999 | 6.4638513215001 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.222726010072441 | 0.445452020144883 | 0.777273989927559 |
14 | 0.104911851062311 | 0.209823702124621 | 0.89508814893769 |
15 | 0.0607921959365321 | 0.121584391873064 | 0.939207804063468 |
16 | 0.032058470515404 | 0.0641169410308081 | 0.967941529484596 |
17 | 0.0138983003929115 | 0.0277966007858231 | 0.986101699607088 |
18 | 0.0192741630303373 | 0.0385483260606745 | 0.980725836969663 |
19 | 0.00884401228339734 | 0.0176880245667947 | 0.991155987716603 |
20 | 0.00996131814070038 | 0.0199226362814008 | 0.9900386818593 |
21 | 0.0843062676143178 | 0.168612535228636 | 0.915693732385682 |
22 | 0.114335458055712 | 0.228670916111424 | 0.885664541944288 |
23 | 0.13541826773343 | 0.270836535466859 | 0.86458173226657 |
24 | 0.169064059496961 | 0.338128118993923 | 0.830935940503039 |
25 | 0.12193454765135 | 0.2438690953027 | 0.87806545234865 |
26 | 0.182101601421231 | 0.364203202842462 | 0.817898398578769 |
27 | 0.13907807363867 | 0.278156147277339 | 0.86092192636133 |
28 | 0.621037874841069 | 0.757924250317862 | 0.378962125158931 |
29 | 0.603488191054637 | 0.793023617890726 | 0.396511808945363 |
30 | 0.548447136642919 | 0.903105726714162 | 0.451552863357081 |
31 | 0.484928519755574 | 0.969857039511149 | 0.515071480244426 |
32 | 0.480730407303472 | 0.961460814606945 | 0.519269592696528 |
33 | 0.644187154750401 | 0.711625690499198 | 0.355812845249599 |
34 | 0.606391146159902 | 0.787217707680196 | 0.393608853840098 |
35 | 0.649601326865171 | 0.700797346269657 | 0.350398673134829 |
36 | 0.646978784911588 | 0.706042430176824 | 0.353021215088412 |
37 | 0.604631319162944 | 0.790737361674112 | 0.395368680837056 |
38 | 0.551305692928366 | 0.897388614143267 | 0.448694307071634 |
39 | 0.694334016351724 | 0.611331967296552 | 0.305665983648276 |
40 | 0.642099869367798 | 0.715800261264404 | 0.357900130632202 |
41 | 0.603125044868103 | 0.793749910263793 | 0.396874955131897 |
42 | 0.579236464186939 | 0.841527071626121 | 0.420763535813061 |
43 | 0.54390772418148 | 0.91218455163704 | 0.45609227581852 |
44 | 0.494023412244684 | 0.988046824489368 | 0.505976587755316 |
45 | 0.4456656700596 | 0.8913313401192 | 0.5543343299404 |
46 | 0.391013164590026 | 0.782026329180052 | 0.608986835409974 |
47 | 0.413367987268829 | 0.826735974537658 | 0.586632012731171 |
48 | 0.643390809277535 | 0.713218381444929 | 0.356609190722465 |
49 | 0.607278557250762 | 0.785442885498477 | 0.392721442749238 |
50 | 0.556800571747537 | 0.886398856504927 | 0.443199428252463 |
51 | 0.514210499507659 | 0.971579000984681 | 0.485789500492341 |
52 | 0.46114638365737 | 0.92229276731474 | 0.53885361634263 |
53 | 0.43061905186982 | 0.86123810373964 | 0.56938094813018 |
54 | 0.421187630753123 | 0.842375261506246 | 0.578812369246877 |
55 | 0.376450182878271 | 0.752900365756542 | 0.623549817121729 |
56 | 0.328692303635759 | 0.657384607271518 | 0.671307696364241 |
57 | 0.285399119795235 | 0.57079823959047 | 0.714600880204765 |
58 | 0.402741648376145 | 0.80548329675229 | 0.597258351623855 |
59 | 0.391005843678265 | 0.78201168735653 | 0.608994156321735 |
60 | 0.383581853895241 | 0.767163707790483 | 0.616418146104759 |
61 | 0.336759644709623 | 0.673519289419246 | 0.663240355290377 |
62 | 0.357450874182343 | 0.714901748364686 | 0.642549125817657 |
63 | 0.331390232621407 | 0.662780465242814 | 0.668609767378593 |
64 | 0.374613183053846 | 0.749226366107692 | 0.625386816946154 |
65 | 0.503479214455897 | 0.993041571088205 | 0.496520785544103 |
66 | 0.512700162488297 | 0.974599675023405 | 0.487299837511703 |
67 | 0.470924801974617 | 0.941849603949235 | 0.529075198025383 |
68 | 0.438216777773296 | 0.876433555546591 | 0.561783222226704 |
69 | 0.491932303021466 | 0.983864606042933 | 0.508067696978534 |
70 | 0.585038803424187 | 0.829922393151625 | 0.414961196575813 |
71 | 0.558307760132009 | 0.883384479735981 | 0.441692239867991 |
72 | 0.544494641763406 | 0.911010716473187 | 0.455505358236594 |
73 | 0.752888333866796 | 0.494223332266409 | 0.247111666133204 |
74 | 0.717157980032184 | 0.565684039935632 | 0.282842019967816 |
75 | 0.688001025035434 | 0.623997949929132 | 0.311998974964566 |
76 | 0.644520357292046 | 0.710959285415907 | 0.355479642707954 |
77 | 0.598468754566761 | 0.803062490866478 | 0.401531245433239 |
78 | 0.549955829755317 | 0.900088340489366 | 0.450044170244683 |
79 | 0.5114469032917 | 0.9771061934166 | 0.4885530967083 |
80 | 0.467481789639686 | 0.934963579279371 | 0.532518210360314 |
81 | 0.515445213077283 | 0.969109573845435 | 0.484554786922717 |
82 | 0.468395887922672 | 0.936791775845343 | 0.531604112077328 |
83 | 0.94954442494203 | 0.10091115011594 | 0.0504555750579702 |
84 | 0.937521608810133 | 0.124956782379735 | 0.0624783911898675 |
85 | 0.927163919157779 | 0.145672161684443 | 0.0728360808422213 |
86 | 0.907995974326328 | 0.184008051347344 | 0.092004025673672 |
87 | 0.894257980942821 | 0.211484038114357 | 0.105742019057179 |
88 | 0.911028922258386 | 0.177942155483228 | 0.088971077741614 |
89 | 0.90315159783248 | 0.193696804335042 | 0.096848402167521 |
90 | 0.88188424496511 | 0.236231510069781 | 0.11811575503489 |
91 | 0.87930792582698 | 0.241384148346041 | 0.120692074173021 |
92 | 0.851379643869759 | 0.297240712260482 | 0.148620356130241 |
93 | 0.818352494417109 | 0.363295011165782 | 0.181647505582891 |
94 | 0.786746658791948 | 0.426506682416104 | 0.213253341208052 |
95 | 0.753114399956645 | 0.49377120008671 | 0.246885600043355 |
96 | 0.741430314883097 | 0.517139370233805 | 0.258569685116903 |
97 | 0.778747365308242 | 0.442505269383516 | 0.221252634691758 |
98 | 0.776563552957149 | 0.446872894085701 | 0.223436447042851 |
99 | 0.787374157508573 | 0.425251684982854 | 0.212625842491427 |
100 | 0.854538973065024 | 0.290922053869952 | 0.145461026934976 |
101 | 0.8204456104317 | 0.359108779136602 | 0.179554389568301 |
102 | 0.824249053079628 | 0.351501893840745 | 0.175750946920372 |
103 | 0.786381663157786 | 0.427236673684429 | 0.213618336842214 |
104 | 0.861240065122817 | 0.277519869754365 | 0.138759934877183 |
105 | 0.886066129278044 | 0.227867741443911 | 0.113933870721956 |
106 | 0.87917972494163 | 0.241640550116741 | 0.120820275058371 |
107 | 0.857032526781039 | 0.285934946437922 | 0.142967473218961 |
108 | 0.83874320103364 | 0.32251359793272 | 0.16125679896636 |
109 | 0.826690756299123 | 0.346618487401755 | 0.173309243700877 |
110 | 0.926033625725731 | 0.147932748548538 | 0.0739663742742688 |
111 | 0.921524386842721 | 0.156951226314558 | 0.078475613157279 |
112 | 0.896243905487134 | 0.207512189025732 | 0.103756094512866 |
113 | 0.908689616514876 | 0.182620766970248 | 0.0913103834851242 |
114 | 0.884045430213445 | 0.231909139573111 | 0.115954569786555 |
115 | 0.84615683895036 | 0.307686322099279 | 0.15384316104964 |
116 | 0.871771289343516 | 0.256457421312968 | 0.128228710656484 |
117 | 0.88292777994449 | 0.234144440111019 | 0.117072220055509 |
118 | 0.84837280711201 | 0.303254385775979 | 0.151627192887989 |
119 | 0.799266925093616 | 0.401466149812769 | 0.200733074906384 |
120 | 0.767342058345778 | 0.465315883308445 | 0.232657941654222 |
121 | 0.706325698297919 | 0.587348603404161 | 0.293674301702081 |
122 | 0.643908260892058 | 0.712183478215885 | 0.356091739107942 |
123 | 0.563349118504408 | 0.873301762991183 | 0.436650881495592 |
124 | 0.511350749395989 | 0.977298501208022 | 0.488649250604011 |
125 | 0.916317950082277 | 0.167364099835446 | 0.0836820499177228 |
126 | 0.875966169237377 | 0.248067661525245 | 0.124033830762623 |
127 | 0.928407824692615 | 0.143184350614769 | 0.0715921753073847 |
128 | 0.881209621398124 | 0.237580757203751 | 0.118790378601876 |
129 | 0.813574938030252 | 0.372850123939496 | 0.186425061969748 |
130 | 0.890780348488789 | 0.218439303022422 | 0.109219651511211 |
131 | 0.928123454598796 | 0.143753090802408 | 0.071876545401204 |
132 | 0.963257276942148 | 0.0734854461157039 | 0.0367427230578519 |
133 | 0.896272962884385 | 0.207454074231231 | 0.103727037115615 |
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 | 4 | 0.0330578512396694 | OK |
10% type I error level | 6 | 0.0495867768595041 | OK |