Multiple Linear Regression - Estimated Regression Equation |
StudyForCareer[t] = + 32.5974764805152 -0.213406913845935Gender[t] + 0.174696937710941PersonalStandards[t] + 0.0533645733833355ParentalExpectation[t] -0.222271249914753Doubts[t] + 1.40057205675814LeaderPreference[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) | 32.5974764805152 | 3.276628 | 9.9485 | 0 | 0 |
Gender | -0.213406913845935 | 0.875608 | -0.2437 | 0.807801 | 0.403901 |
PersonalStandards | 0.174696937710941 | 0.104199 | 1.6766 | 0.095858 | 0.047929 |
ParentalExpectation | 0.0533645733833355 | 0.131271 | 0.4065 | 0.68498 | 0.34249 |
Doubts | -0.222271249914753 | 0.156784 | -1.4177 | 0.158504 | 0.079252 |
LeaderPreference | 1.40057205675814 | 0.48395 | 2.894 | 0.004413 | 0.002206 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.368414053928045 |
R-squared | 0.135728915131696 |
Adjusted R-squared | 0.104862090672114 |
F-TEST (value) | 4.39724258999894 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 140 |
p-value | 0.000948505454698712 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.99882997972892 |
Sum Squared Residuals | 3498.36216327312 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 41 | 39.7532365312343 | 1.24676346876571 |
2 | 38 | 41.1538085879926 | -3.15380858799256 |
3 | 37 | 40.0522623883436 | -3.05226238834359 |
4 | 42 | 39.886378407014 | 2.11362159298596 |
5 | 40 | 38.230308876474 | 1.76969112352598 |
6 | 43 | 41.1004440146092 | 1.89955598539078 |
7 | 40 | 40.1464139192078 | -0.146413919207826 |
8 | 45 | 44.2014082298163 | 0.798591770183674 |
9 | 45 | 42.4746033423544 | 2.5253966576456 |
10 | 44 | 40.2823495010964 | 3.71765049890363 |
11 | 42 | 39.9327004964502 | 2.06729950354977 |
12 | 32 | 42.0031089981545 | -10.0031089981545 |
13 | 32 | 42.0031089981545 | -10.0031089981545 |
14 | 41 | 43.5054141850815 | -2.50541418508148 |
15 | 38 | 39.8979589293731 | -1.89795892937309 |
16 | 38 | 40.1348333968488 | -2.13483339684878 |
17 | 24 | 37.8567568627907 | -13.8567568627907 |
18 | 46 | 41.6101605992741 | 4.38983940072592 |
19 | 42 | 40.8897532870535 | 1.11024671294649 |
20 | 46 | 40.7714436179278 | 5.2285563820722 |
21 | 43 | 40.166781257817 | 2.83321874218299 |
22 | 38 | 40.5229886280931 | -2.52298862809306 |
23 | 39 | 39.7997876097636 | -0.79978760976358 |
24 | 40 | 38.535151134894 | 1.46484886510602 |
25 | 37 | 37.197753701444 | -0.197753701443968 |
26 | 41 | 40.3425014292026 | 0.657498570797402 |
27 | 46 | 40.9461405556387 | 5.05385944436126 |
28 | 26 | 38.0208703716859 | -12.0208703716859 |
29 | 37 | 38.9089582778016 | -1.90895827780158 |
30 | 39 | 41.2605377347592 | -2.26053773475923 |
31 | 44 | 42.9687196159150 | 1.03128038408504 |
32 | 38 | 37.4462086912787 | 0.553791308721298 |
33 | 38 | 36.8365764547013 | 1.16342354529866 |
34 | 38 | 39.3728710226969 | -1.37287102269690 |
35 | 33 | 38.2013575705764 | -5.20135757057641 |
36 | 43 | 40.0036909825964 | 2.99630901740361 |
37 | 41 | 34.9906415134007 | 6.00935848659926 |
38 | 49 | 40.0223139889026 | 8.97768601109741 |
39 | 45 | 42.1186511013026 | 2.8813488986974 |
40 | 31 | 38.3254575008817 | -7.32545750088165 |
41 | 30 | 38.3254575008817 | -8.32545750088165 |
42 | 38 | 40.5821434626559 | -2.58214346265592 |
43 | 39 | 40.3211108569188 | -1.32111085691877 |
44 | 40 | 40.1793850138507 | -0.179385013850704 |
45 | 36 | 35.2390965032355 | 0.760903496764521 |
46 | 49 | 43.5464301316554 | 5.45356986834463 |
47 | 41 | 40.4958077946297 | 0.504192205370292 |
48 | 18 | 35.8467554184169 | -17.8467554184169 |
49 | 42 | 38.7486094284273 | 3.25139057157267 |
50 | 41 | 42.607745218134 | -1.60774521813403 |
51 | 43 | 39.9037491905526 | 3.09625080944738 |
52 | 46 | 39.6261139057273 | 6.37388609427271 |
53 | 41 | 42.8300164680488 | -1.83001646804878 |
54 | 39 | 40.2823495010964 | -1.28234950109637 |
55 | 42 | 39.4765774742617 | 2.52342252573832 |
56 | 35 | 41.082049997396 | -6.082049997396 |
57 | 36 | 38.1177894685278 | -2.11778946852783 |
58 | 48 | 39.294319802937 | 8.70568019706305 |
59 | 41 | 39.8979589293731 | 1.10204107062691 |
60 | 47 | 38.4233736912669 | 8.57662630873309 |
61 | 41 | 39.0068744681868 | 1.99312553181315 |
62 | 31 | 42.0217320044607 | -11.0217320044607 |
63 | 36 | 41.1711793715311 | -5.17117937153113 |
64 | 46 | 41.2605377347592 | 4.73946226524077 |
65 | 44 | 40.6772920870635 | 3.32270791293645 |
66 | 43 | 36.9327013069616 | 6.06729869303845 |
67 | 40 | 40.457020298676 | -0.457020298676028 |
68 | 40 | 39.0486585192111 | 0.951341480788867 |
69 | 46 | 37.0308464864398 | 8.96915351356022 |
70 | 39 | 40.5851661578578 | -1.58516615785781 |
71 | 44 | 41.5595897319997 | 2.44041026800034 |
72 | 38 | 36.3504527528092 | 1.64954724719076 |
73 | 39 | 39.5933718001774 | -0.593371800177387 |
74 | 41 | 42.9037745201726 | -1.90377452017257 |
75 | 39 | 38.5885157082773 | 0.411484291722681 |
76 | 40 | 39.492177785366 | 0.507822214634013 |
77 | 44 | 40.2065658473141 | 3.79343415268594 |
78 | 42 | 39.4156521672646 | 2.58434783273544 |
79 | 46 | 42.5863546458502 | 3.41364535414980 |
80 | 44 | 39.9299329304726 | 4.0700670695274 |
81 | 37 | 40.4278400036854 | -3.42784000368544 |
82 | 39 | 37.1083953382159 | 1.89160466178413 |
83 | 40 | 38.1799669982926 | 1.82003300170742 |
84 | 42 | 38.7486094284273 | 3.25139057157267 |
85 | 37 | 38.8409904868573 | -1.84099048685732 |
86 | 33 | 37.7694188267806 | -4.7694188267806 |
87 | 35 | 39.8330138336307 | -4.83301383363071 |
88 | 42 | 35.5721166886622 | 6.42788331133784 |
89 | 36 | 35.9650137078552 | 0.0349862921448101 |
90 | 44 | 39.5862779365428 | 4.41372206345717 |
91 | 45 | 39.8677040210204 | 5.13229597897956 |
92 | 47 | 41.1585503759413 | 5.8414496240587 |
93 | 40 | 41.2458831375109 | -1.24588313751089 |
94 | 49 | 38.8049191771939 | 10.1950808228061 |
95 | 48 | 44.3438246575161 | 3.65617534248390 |
96 | 29 | 40.8247568116237 | -11.8247568116237 |
97 | 45 | 41.7603928898119 | 3.2396071101881 |
98 | 29 | 36.5754401890142 | -7.57544018901423 |
99 | 41 | 40.5083340308447 | 0.49166596915528 |
100 | 34 | 37.1287374372689 | -3.12873743726892 |
101 | 38 | 36.1271330296637 | 1.87286697033629 |
102 | 37 | 37.9848252021538 | -0.984825202153773 |
103 | 48 | 44.2285376835923 | 3.77146231640773 |
104 | 39 | 41.052818322718 | -2.052818322718 |
105 | 34 | 40.5906499101257 | -6.59064991012567 |
106 | 35 | 36.611433978859 | -1.61143397885899 |
107 | 41 | 40.2093081737356 | 0.790691826264434 |
108 | 43 | 39.4543621433995 | 3.54563785660045 |
109 | 41 | 38.5836711609538 | 2.41632883904624 |
110 | 39 | 36.1067395509233 | 2.89326044907675 |
111 | 36 | 41.1721250853871 | -5.17212508538709 |
112 | 32 | 41.6506671879746 | -9.65066718797462 |
113 | 46 | 40.0841850097557 | 5.91581499024433 |
114 | 42 | 41.0324248439775 | 0.967575156022457 |
115 | 42 | 36.3619818954809 | 5.63801810451912 |
116 | 45 | 39.4601785447104 | 5.53982145528964 |
117 | 39 | 40.8635181674461 | -1.86351816744613 |
118 | 45 | 41.1265763748418 | 3.87342362515821 |
119 | 48 | 42.4951744305004 | 5.50482556949957 |
120 | 28 | 38.3487961550053 | -10.3487961550053 |
121 | 35 | 37.6538253439451 | -2.65382534394511 |
122 | 38 | 39.0591644282081 | -1.05916442820812 |
123 | 42 | 38.4527577357943 | 3.54724226420565 |
124 | 36 | 38.2128867132480 | -2.21288671324805 |
125 | 37 | 40.8519376450871 | -3.85193764508708 |
126 | 38 | 39.2029105984942 | -1.20291059849421 |
127 | 43 | 40.9196503068071 | 2.08034969319290 |
128 | 35 | 34.6993539993109 | 0.300646000689057 |
129 | 36 | 39.8357300199209 | -3.83573001992094 |
130 | 33 | 36.4221338235871 | -3.42213382358712 |
131 | 39 | 38.2536475305977 | 0.746352469402314 |
132 | 32 | 41.239095782788 | -9.23909578278799 |
133 | 45 | 39.3300332240013 | 5.66996677599866 |
134 | 35 | 39.8833043321248 | -4.88330433212475 |
135 | 38 | 37.8043380032633 | 0.195661996736691 |
136 | 36 | 37.4335535555576 | -1.43355355555760 |
137 | 42 | 38.1867029733281 | 3.81329702667193 |
138 | 41 | 39.5454909790619 | 1.45450902093808 |
139 | 47 | 38.9300423411738 | 8.06995765882624 |
140 | 35 | 38.7019808300795 | -3.70198083007948 |
141 | 43 | 37.7683442134185 | 5.23165578658146 |
142 | 40 | 40.189917062979 | -0.189917062978970 |
143 | 46 | 40.8043633328833 | 5.19563666711673 |
144 | 44 | 41.7603928898119 | 2.23960711018810 |
145 | 35 | 38.8117326720480 | -3.81173267204804 |
146 | 29 | 39.7317684391319 | -10.7317684391319 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.228263643747141 | 0.456527287494281 | 0.77173635625286 |
10 | 0.111585781609344 | 0.223171563218688 | 0.888414218390656 |
11 | 0.0503817217129347 | 0.100763443425869 | 0.949618278287065 |
12 | 0.284438673930541 | 0.568877347861083 | 0.715561326069459 |
13 | 0.320479425346107 | 0.640958850692214 | 0.679520574653893 |
14 | 0.339739764479001 | 0.679479528958003 | 0.660260235520999 |
15 | 0.248447815833058 | 0.496895631666117 | 0.751552184166942 |
16 | 0.180976592142866 | 0.361953184285731 | 0.819023407857134 |
17 | 0.741392185289308 | 0.517215629421383 | 0.258607814710692 |
18 | 0.723091115077321 | 0.553817769845357 | 0.276908884922679 |
19 | 0.678871532498777 | 0.642256935002447 | 0.321128467501223 |
20 | 0.724911151228256 | 0.550177697543487 | 0.275088848771744 |
21 | 0.721798485774899 | 0.556403028450203 | 0.278201514225101 |
22 | 0.673124618524043 | 0.653750762951913 | 0.326875381475957 |
23 | 0.603822234909232 | 0.792355530181537 | 0.396177765090768 |
24 | 0.564236496323409 | 0.871527007353182 | 0.435763503676591 |
25 | 0.505185560831123 | 0.989628878337755 | 0.494814439168877 |
26 | 0.435205354408425 | 0.87041070881685 | 0.564794645591575 |
27 | 0.470806371565563 | 0.941612743131125 | 0.529193628434437 |
28 | 0.732774024592937 | 0.534451950814127 | 0.267225975407063 |
29 | 0.678987246232436 | 0.642025507535129 | 0.321012753767564 |
30 | 0.630832646815615 | 0.73833470636877 | 0.369167353184385 |
31 | 0.570712020875561 | 0.858575958248878 | 0.429287979124439 |
32 | 0.518250100866923 | 0.963499798266153 | 0.481749899133077 |
33 | 0.459284526936258 | 0.918569053872517 | 0.540715473063742 |
34 | 0.401884603107711 | 0.803769206215422 | 0.598115396892289 |
35 | 0.381023460990496 | 0.762046921980992 | 0.618976539009504 |
36 | 0.355204548828101 | 0.710409097656202 | 0.644795451171899 |
37 | 0.428086245729008 | 0.856172491458016 | 0.571913754270992 |
38 | 0.565383527955224 | 0.869232944089553 | 0.434616472044776 |
39 | 0.525180708419469 | 0.949638583161062 | 0.474819291580531 |
40 | 0.551625471816883 | 0.896749056366234 | 0.448374528183117 |
41 | 0.596675533311239 | 0.806648933377522 | 0.403324466688761 |
42 | 0.551526979271896 | 0.896946041456208 | 0.448473020728104 |
43 | 0.501819570083944 | 0.996360859832113 | 0.498180429916056 |
44 | 0.449482482908326 | 0.898964965816651 | 0.550517517091675 |
45 | 0.407320684061989 | 0.814641368123977 | 0.592679315938011 |
46 | 0.389131866712786 | 0.778263733425571 | 0.610868133287214 |
47 | 0.338600521919588 | 0.677201043839176 | 0.661399478080412 |
48 | 0.830397708851963 | 0.339204582296074 | 0.169602291148037 |
49 | 0.82134471162286 | 0.357310576754279 | 0.178655288377140 |
50 | 0.78926655329413 | 0.421466893411742 | 0.210733446705871 |
51 | 0.770855171287047 | 0.458289657425905 | 0.229144828712953 |
52 | 0.804637124226481 | 0.390725751547037 | 0.195362875773519 |
53 | 0.772987539579148 | 0.454024920841704 | 0.227012460420852 |
54 | 0.740299303280779 | 0.519401393438442 | 0.259700696719221 |
55 | 0.713526556219301 | 0.572946887561398 | 0.286473443780699 |
56 | 0.73391523513731 | 0.53216952972538 | 0.26608476486269 |
57 | 0.702930373362184 | 0.594139253275631 | 0.297069626637816 |
58 | 0.799805396145053 | 0.400389207709895 | 0.200194603854947 |
59 | 0.765267474748036 | 0.469465050503927 | 0.234732525251964 |
60 | 0.837405205273008 | 0.325189589453984 | 0.162594794726992 |
61 | 0.809836669130789 | 0.380326661738422 | 0.190163330869211 |
62 | 0.91323431461073 | 0.17353137077854 | 0.08676568538927 |
63 | 0.91852173416005 | 0.162956531679902 | 0.0814782658399508 |
64 | 0.912649441500226 | 0.174701116999547 | 0.0873505584997737 |
65 | 0.898897617889191 | 0.202204764221618 | 0.101102382110809 |
66 | 0.907124624955422 | 0.185750750089156 | 0.092875375044578 |
67 | 0.888513900626627 | 0.222972198746745 | 0.111486099373373 |
68 | 0.864393581131037 | 0.271212837737926 | 0.135606418868963 |
69 | 0.910333438720209 | 0.179333122559582 | 0.089666561279791 |
70 | 0.892509037642712 | 0.214981924714577 | 0.107490962357288 |
71 | 0.872682974172032 | 0.254634051655936 | 0.127317025827968 |
72 | 0.84825682082848 | 0.303486358343039 | 0.151743179171520 |
73 | 0.822190871122518 | 0.355618257754965 | 0.177809128877482 |
74 | 0.796590555826813 | 0.406818888346373 | 0.203409444173187 |
75 | 0.760066136056082 | 0.479867727887836 | 0.239933863943918 |
76 | 0.721518213656286 | 0.556963572687428 | 0.278481786343714 |
77 | 0.69753429651982 | 0.604931406960361 | 0.302465703480180 |
78 | 0.661323105629603 | 0.677353788740794 | 0.338676894370397 |
79 | 0.632825716007388 | 0.734348567985225 | 0.367174283992612 |
80 | 0.61464408894256 | 0.77071182211488 | 0.38535591105744 |
81 | 0.589162184563698 | 0.821675630872605 | 0.410837815436302 |
82 | 0.549257787699983 | 0.901484424600034 | 0.450742212300017 |
83 | 0.5076234321948 | 0.9847531356104 | 0.4923765678052 |
84 | 0.499560784960134 | 0.999121569920269 | 0.500439215039866 |
85 | 0.452569844566048 | 0.905139689132095 | 0.547430155433952 |
86 | 0.43236202248327 | 0.86472404496654 | 0.56763797751673 |
87 | 0.478671490586866 | 0.957342981173732 | 0.521328509413134 |
88 | 0.465541411765555 | 0.93108282353111 | 0.534458588234445 |
89 | 0.416188343349453 | 0.832376686698905 | 0.583811656650547 |
90 | 0.393810238715618 | 0.787620477431237 | 0.606189761284382 |
91 | 0.383090995728555 | 0.766181991457111 | 0.616909004271444 |
92 | 0.401252511678366 | 0.802505023356732 | 0.598747488321634 |
93 | 0.367467452014639 | 0.734934904029277 | 0.632532547985361 |
94 | 0.499031372273854 | 0.998062744547707 | 0.500968627726146 |
95 | 0.517467919486094 | 0.965064161027812 | 0.482532080513906 |
96 | 0.794667455267338 | 0.410665089465325 | 0.205332544732662 |
97 | 0.768380418256935 | 0.463239163486129 | 0.231619581743065 |
98 | 0.810183321250158 | 0.379633357499685 | 0.189816678749842 |
99 | 0.771483236899313 | 0.457033526201375 | 0.228516763100687 |
100 | 0.753344968387844 | 0.493310063224312 | 0.246655031612156 |
101 | 0.710392294903492 | 0.579215410193017 | 0.289607705096509 |
102 | 0.665980393361268 | 0.668039213277464 | 0.334019606638732 |
103 | 0.649825056926951 | 0.700349886146098 | 0.350174943073049 |
104 | 0.607480666139012 | 0.785038667721977 | 0.392519333860988 |
105 | 0.59823718744903 | 0.80352562510194 | 0.40176281255097 |
106 | 0.557329143513771 | 0.885341712972458 | 0.442670856486229 |
107 | 0.502908106270219 | 0.994183787459562 | 0.497091893729781 |
108 | 0.462854845104759 | 0.925709690209518 | 0.537145154895241 |
109 | 0.413651881143673 | 0.827303762287345 | 0.586348118856327 |
110 | 0.364743887789218 | 0.729487775578435 | 0.635256112210782 |
111 | 0.348294749888064 | 0.696589499776128 | 0.651705250111936 |
112 | 0.531675793200155 | 0.93664841359969 | 0.468324206799845 |
113 | 0.546841427832406 | 0.906317144335187 | 0.453158572167594 |
114 | 0.485806287913937 | 0.971612575827875 | 0.514193712086063 |
115 | 0.487826755308053 | 0.975653510616106 | 0.512173244691947 |
116 | 0.459031473951189 | 0.918062947902379 | 0.540968526048811 |
117 | 0.403835825911353 | 0.807671651822707 | 0.596164174088647 |
118 | 0.366706757959778 | 0.733413515919556 | 0.633293242040222 |
119 | 0.377522356351754 | 0.755044712703508 | 0.622477643648246 |
120 | 0.572709785760507 | 0.854580428478985 | 0.427290214239493 |
121 | 0.516702971945154 | 0.966594056109691 | 0.483297028054846 |
122 | 0.445988871176304 | 0.891977742352608 | 0.554011128823696 |
123 | 0.403583814967395 | 0.80716762993479 | 0.596416185032605 |
124 | 0.343731582413569 | 0.687463164827138 | 0.656268417586431 |
125 | 0.303189669888066 | 0.606379339776132 | 0.696810330111934 |
126 | 0.246878162686412 | 0.493756325372823 | 0.753121837313588 |
127 | 0.230172024234614 | 0.460344048469228 | 0.769827975765386 |
128 | 0.173206099929773 | 0.346412199859546 | 0.826793900070227 |
129 | 0.147273333152675 | 0.294546666305350 | 0.852726666847325 |
130 | 0.140646190886761 | 0.281292381773522 | 0.859353809113239 |
131 | 0.106227309112403 | 0.212454618224806 | 0.893772690887597 |
132 | 0.225094983518646 | 0.450189967037292 | 0.774905016481354 |
133 | 0.160657819732109 | 0.321315639464218 | 0.83934218026789 |
134 | 0.151029992495192 | 0.302059984990383 | 0.848970007504808 |
135 | 0.0972632458038745 | 0.194526491607749 | 0.902736754196126 |
136 | 0.0633597369443892 | 0.126719473888778 | 0.936640263055611 |
137 | 0.0307994335742104 | 0.0615988671484208 | 0.96920056642579 |
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 | 1 | 0.00775193798449612 | OK |