Multiple Linear Regression - Estimated Regression Equation |
Career[t] = + 31.7622562372553 + 0.188776879139715PersonalStandards[t] + 0.0437388904055657ParentalExpectations[t] -0.218043009341138Doubts[t] + 1.40702742932656LeadershipPreference[t] + 0.00608276680367076t + 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) | 31.7622562372553 | 3.493424 | 9.092 | 0 | 0 |
PersonalStandards | 0.188776879139715 | 0.106859 | 1.7666 | 0.079475 | 0.039738 |
ParentalExpectations | 0.0437388904055657 | 0.128329 | 0.3408 | 0.733739 | 0.366869 |
Doubts | -0.218043009341138 | 0.155328 | -1.4038 | 0.162605 | 0.081302 |
LeadershipPreference | 1.40702742932656 | 0.483551 | 2.9098 | 0.004209 | 0.002104 |
t | 0.00608276680367076 | 0.010123 | 0.6009 | 0.548887 | 0.274443 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.370926417662263 |
R-squared | 0.137586407319759 |
Adjusted R-squared | 0.106785921866894 |
F-TEST (value) | 4.46702073999156 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 140 |
p-value | 0.000831035690440629 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.99345534545331 |
Sum Squared Residuals | 3490.84348018507 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 41 | 39.4025395425448 | 1.59746045745523 |
2 | 38 | 40.815649738675 | -2.81564973867502 |
3 | 37 | 39.6453323402348 | -2.64533234023484 |
4 | 36 | 35.3834127609177 | 0.616587239082285 |
5 | 42 | 39.5118084424213 | 2.48819155757866 |
6 | 44 | 39.1097786584712 | 4.89022134152881 |
7 | 40 | 37.8844410002572 | 2.11555899974275 |
8 | 43 | 40.8084074490915 | 2.19159255090852 |
9 | 40 | 39.8696337677167 | 0.130366232283254 |
10 | 45 | 39.4103643856367 | 5.58963561436328 |
11 | 47 | 40.839184404747 | 6.16081559525302 |
12 | 45 | 43.9689960405714 | 1.03100395942859 |
13 | 45 | 42.2483886605857 | 2.75161133941434 |
14 | 40 | 40.7436049515849 | -0.743604951584918 |
15 | 49 | 38.2505567368938 | 10.7494432631062 |
16 | 48 | 43.8634133219428 | 4.13658667805722 |
17 | 44 | 40.1208940988033 | 3.87910590119672 |
18 | 29 | 40.4324976557592 | -11.4324976557592 |
19 | 42 | 39.7127492593059 | 2.28725074069413 |
20 | 45 | 41.3435716318837 | 3.65642836811631 |
21 | 32 | 41.8146859377779 | -9.81468593777792 |
22 | 32 | 41.8207687045816 | -9.82076870458159 |
23 | 41 | 43.3984593228482 | -2.39845932284823 |
24 | 29 | 36.0868435470942 | -7.08684354709424 |
25 | 38 | 39.662409298903 | -1.66240929890304 |
26 | 41 | 40.0753119541876 | 0.92468804581244 |
27 | 38 | 39.9501780497745 | -1.95017804977453 |
28 | 24 | 37.7060068702954 | -13.7060068702954 |
29 | 34 | 36.7987084343778 | -2.79870843437778 |
30 | 38 | 35.8306686228016 | 2.16933137719837 |
31 | 37 | 37.5795377917654 | -0.579537791765378 |
32 | 46 | 41.3741186053951 | 4.62588139460486 |
33 | 48 | 43.8790117439005 | 4.12098825609951 |
34 | 42 | 40.7774618970541 | 1.22253810294593 |
35 | 46 | 40.6671213626383 | 5.33287863736168 |
36 | 43 | 39.9740991482371 | 3.02590085176287 |
37 | 38 | 40.3747381585732 | -2.37473815857322 |
38 | 39 | 40.7866687613779 | -1.78666876137791 |
39 | 34 | 40.2704906140616 | -6.27049061406156 |
40 | 39 | 39.6665038530405 | -0.66650385304052 |
41 | 35 | 36.1905711925498 | -1.19057119254978 |
42 | 41 | 39.9420089589636 | 1.05799104103642 |
43 | 40 | 38.4803229207821 | 1.51967707921786 |
44 | 43 | 39.0376677216112 | 3.9623322783888 |
45 | 37 | 37.0430147969303 | -0.0430147969303161 |
46 | 41 | 40.2262334204624 | 0.773766579537602 |
47 | 46 | 40.9288914434221 | 5.07110855657792 |
48 | 26 | 37.8582209988432 | -11.8582209988432 |
49 | 41 | 38.2418575239263 | 2.75814247607372 |
50 | 37 | 38.8718311360721 | -1.87183113607211 |
51 | 39 | 41.201183092866 | -2.20118309286602 |
52 | 44 | 42.9770536772784 | 1.0229463227216 |
53 | 39 | 35.8985392911589 | 3.10146070884111 |
54 | 36 | 40.871143765199 | -4.87114376519902 |
55 | 38 | 37.4083912026395 | 0.591608797360536 |
56 | 38 | 36.9242739208694 | 1.07572607913057 |
57 | 38 | 39.4199997654584 | -1.41999976545840 |
58 | 32 | 41.5904265934032 | -9.5904265934032 |
59 | 33 | 38.1283810730274 | -5.12838107302742 |
60 | 46 | 39.9180729749572 | 6.08192702504275 |
61 | 42 | 40.8545394297352 | 1.14546057026482 |
62 | 42 | 36.1430331240115 | 5.85696687598853 |
63 | 43 | 40.1103047845107 | 2.8896952154893 |
64 | 41 | 34.9064449144547 | 6.09355508554534 |
65 | 49 | 40.0793726472987 | 8.92062735270125 |
66 | 45 | 39.317763642802 | 5.68223635719801 |
67 | 39 | 40.7167319116216 | -1.71673191162163 |
68 | 45 | 42.2311412060805 | 2.76885879391955 |
69 | 31 | 38.3201048024877 | -7.32010480248768 |
70 | 30 | 38.3261875692914 | -8.32618756929135 |
71 | 45 | 41.1031719244318 | 3.89682807556822 |
72 | 48 | 42.4153036320266 | 5.58469636797344 |
73 | 28 | 38.1383256724161 | -10.1383256724161 |
74 | 35 | 37.5094910117051 | -2.50949101170507 |
75 | 38 | 40.6640949477224 | -2.66409494772242 |
76 | 39 | 40.4659560227024 | -1.4659560227024 |
77 | 40 | 40.2549678326448 | -0.254967832644762 |
78 | 38 | 38.9527925434016 | -0.952792543401607 |
79 | 42 | 38.2764419813599 | 3.72355801864015 |
80 | 36 | 35.3083179209858 | 0.691682079014167 |
81 | 49 | 43.8062800572349 | 5.19371994276512 |
82 | 41 | 40.6912295026641 | 0.308770497335859 |
83 | 18 | 35.9224835988106 | -17.9224835988106 |
84 | 36 | 38.1344402019052 | -2.13444020190521 |
85 | 42 | 38.9107546881586 | 3.08924531184143 |
86 | 41 | 42.7773684699155 | -1.77736846991549 |
87 | 43 | 40.0540136009348 | 2.94598639906523 |
88 | 46 | 39.7722295055258 | 6.22777049447415 |
89 | 37 | 40.8216072608941 | -3.82160726089410 |
90 | 38 | 39.1161138606988 | -1.11611386069877 |
91 | 43 | 40.8923152780047 | 2.10768472199529 |
92 | 41 | 43.0319080800787 | -2.03190808007865 |
93 | 35 | 34.7178200487262 | 0.282179951273831 |
94 | 39 | 40.5892671426859 | -1.58926714268593 |
95 | 42 | 39.7100079972943 | 2.28999200270571 |
96 | 36 | 39.8325038422170 | -3.83250384221696 |
97 | 35 | 41.3038256889569 | -6.3038256889569 |
98 | 33 | 36.2909518132963 | -3.29095181329628 |
99 | 36 | 38.3421050051797 | -2.34210500517969 |
100 | 48 | 39.4220415530223 | 8.57795844697767 |
101 | 41 | 40.124699575982 | 0.875300424017985 |
102 | 47 | 38.5652264401011 | 8.43477355989893 |
103 | 41 | 39.2386081097589 | 1.76139189024108 |
104 | 31 | 42.2764579116633 | -11.2764579116633 |
105 | 36 | 41.4855930000655 | -5.48559300006554 |
106 | 46 | 41.5357352670679 | 4.46426473293209 |
107 | 39 | 38.2866074833381 | 0.713392516661932 |
108 | 44 | 40.9233585126464 | 3.07664148735360 |
109 | 43 | 37.3287480592839 | 5.67125194071613 |
110 | 32 | 41.4423503707902 | -9.44235037079021 |
111 | 40 | 40.7496487661822 | -0.749648766182157 |
112 | 40 | 39.3081463809892 | 0.691853619010763 |
113 | 46 | 37.3084237831102 | 8.69157621688976 |
114 | 45 | 39.4216110129252 | 5.57838898707484 |
115 | 39 | 40.936020307384 | -1.93602030738398 |
116 | 44 | 41.9589924904932 | 2.04100750950679 |
117 | 35 | 39.9895080752955 | -4.98950807529546 |
118 | 38 | 37.9054888643409 | 0.0945111356591246 |
119 | 38 | 36.6357608730347 | 1.36423912696532 |
120 | 36 | 37.5973402377987 | -1.59734023779867 |
121 | 42 | 38.2729968453097 | 3.72700315469028 |
122 | 39 | 39.9182919780917 | -0.918291978091683 |
123 | 41 | 43.3362457095252 | -2.33624570952517 |
124 | 41 | 39.68347920505 | 1.31652079494998 |
125 | 47 | 39.0530868717700 | 7.94691312823004 |
126 | 39 | 39.0289314558924 | -0.0289314558923762 |
127 | 40 | 39.8329441766777 | 0.167055823322273 |
128 | 44 | 40.5224221017062 | 3.47757789829377 |
129 | 42 | 39.7434797790629 | 2.25652022093707 |
130 | 35 | 38.850984936243 | -3.85098493624303 |
131 | 46 | 43.1083325742106 | 2.89166742578945 |
132 | 43 | 37.9903269897991 | 5.00967301020087 |
133 | 40 | 40.5788652986934 | -0.57886529869339 |
134 | 44 | 40.4264093690386 | 3.57359063096141 |
135 | 37 | 40.9123170449301 | -3.91231704493011 |
136 | 46 | 41.0782311704652 | 4.92176882953479 |
137 | 44 | 42.0552553479132 | 1.94474465208683 |
138 | 35 | 39.0157395389983 | -4.01573953899826 |
139 | 39 | 37.5707353762767 | 1.42926462372334 |
140 | 40 | 38.6783247822546 | 1.32167521774537 |
141 | 42 | 39.2513896291641 | 2.74861037083587 |
142 | 37 | 39.3301465836812 | -2.33014658368124 |
143 | 29 | 40.0167741738678 | -11.0167741738678 |
144 | 33 | 38.2408054781143 | -5.24080547811429 |
145 | 35 | 40.3196569045297 | -5.31965690452968 |
146 | 42 | 35.9146434414381 | 6.08535655856194 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.227457998266173 | 0.454915996532346 | 0.772542001733827 |
10 | 0.120985996183421 | 0.241971992366841 | 0.87901400381658 |
11 | 0.060086004543474 | 0.120172009086948 | 0.939913995456526 |
12 | 0.0256372195817378 | 0.0512744391634755 | 0.974362780418262 |
13 | 0.0105573272206529 | 0.0211146544413058 | 0.989442672779347 |
14 | 0.00634892685450191 | 0.0126978537090038 | 0.993651073145498 |
15 | 0.0281914269115133 | 0.0563828538230267 | 0.971808573088487 |
16 | 0.0159552021939422 | 0.0319104043878843 | 0.984044797806058 |
17 | 0.00907560567686041 | 0.0181512113537208 | 0.99092439432314 |
18 | 0.322086110642595 | 0.644172221285189 | 0.677913889357405 |
19 | 0.322958305747510 | 0.645916611495021 | 0.67704169425249 |
20 | 0.257671778761508 | 0.515343557523016 | 0.742328221238492 |
21 | 0.586796054985821 | 0.826407890028358 | 0.413203945014179 |
22 | 0.7254079866881 | 0.549184026623801 | 0.274592013311901 |
23 | 0.684278422430127 | 0.631443155139746 | 0.315721577569873 |
24 | 0.635945115816869 | 0.728109768366261 | 0.364054884183131 |
25 | 0.60569406377029 | 0.78861187245942 | 0.39430593622971 |
26 | 0.626604604832169 | 0.746790790335662 | 0.373395395167831 |
27 | 0.581707180596965 | 0.83658563880607 | 0.418292819403035 |
28 | 0.78417810590012 | 0.431643788199761 | 0.215821894099881 |
29 | 0.77360024242392 | 0.452799515152159 | 0.226399757576080 |
30 | 0.789550517688911 | 0.420898964622178 | 0.210449482311089 |
31 | 0.765252096984235 | 0.469495806031531 | 0.234747903015765 |
32 | 0.819369211489672 | 0.361261577020657 | 0.180630788510328 |
33 | 0.838527388368635 | 0.32294522326273 | 0.161472611631365 |
34 | 0.810228904579387 | 0.379542190841226 | 0.189771095420613 |
35 | 0.833150977495169 | 0.333698045009663 | 0.166849022504831 |
36 | 0.803798750859097 | 0.392402498281806 | 0.196201249140903 |
37 | 0.764374814282456 | 0.471250371435088 | 0.235625185717544 |
38 | 0.719179227350202 | 0.561641545299597 | 0.280820772649798 |
39 | 0.722765242388572 | 0.554469515222857 | 0.277234757611428 |
40 | 0.674446441224222 | 0.651107117551555 | 0.325553558775778 |
41 | 0.631963676149035 | 0.73607264770193 | 0.368036323850965 |
42 | 0.603809183410784 | 0.792381633178432 | 0.396190816589216 |
43 | 0.570551004921608 | 0.858897990156784 | 0.429448995078392 |
44 | 0.556252724346702 | 0.887494551306597 | 0.443747275653298 |
45 | 0.507330078469422 | 0.985339843061157 | 0.492669921530578 |
46 | 0.456601074374852 | 0.913202148749703 | 0.543398925625148 |
47 | 0.471732618688816 | 0.943465237377633 | 0.528267381311183 |
48 | 0.660934275778857 | 0.678131448442285 | 0.339065724221143 |
49 | 0.641078061079927 | 0.717843877840146 | 0.358921938920073 |
50 | 0.593879418049488 | 0.812241163901025 | 0.406120581950513 |
51 | 0.546809073809532 | 0.906381852380937 | 0.453190926190468 |
52 | 0.499309660527937 | 0.998619321055873 | 0.500690339472063 |
53 | 0.485304274968008 | 0.970608549936017 | 0.514695725031992 |
54 | 0.467341541576426 | 0.934683083152852 | 0.532658458423574 |
55 | 0.427090339316054 | 0.854180678632109 | 0.572909660683946 |
56 | 0.394344347378861 | 0.788688694757722 | 0.605655652621139 |
57 | 0.348333156350139 | 0.696666312700278 | 0.651666843649861 |
58 | 0.458407831902688 | 0.916815663805377 | 0.541592168097311 |
59 | 0.447365036174678 | 0.894730072349356 | 0.552634963825322 |
60 | 0.489105589796132 | 0.978211179592264 | 0.510894410203868 |
61 | 0.446040113113709 | 0.892080226227418 | 0.553959886886291 |
62 | 0.473619074882744 | 0.947238149765489 | 0.526380925117256 |
63 | 0.443058458428971 | 0.886116916857942 | 0.556941541571029 |
64 | 0.468456129594169 | 0.936912259188339 | 0.531543870405831 |
65 | 0.577940500025611 | 0.844118999948778 | 0.422059499974389 |
66 | 0.59423583353098 | 0.81152833293804 | 0.40576416646902 |
67 | 0.551257390548256 | 0.897485218903488 | 0.448742609451744 |
68 | 0.520525959341149 | 0.958948081317702 | 0.479474040658851 |
69 | 0.562409287953999 | 0.875181424092002 | 0.437590712046001 |
70 | 0.630891262814233 | 0.738217474371534 | 0.369108737185767 |
71 | 0.619151319810877 | 0.761697360378246 | 0.380848680189123 |
72 | 0.646033594535094 | 0.707932810929812 | 0.353966405464906 |
73 | 0.759325214576869 | 0.481349570846262 | 0.240674785423131 |
74 | 0.725070929904225 | 0.549858140191551 | 0.274929070095776 |
75 | 0.691919493856534 | 0.616161012286933 | 0.308080506143466 |
76 | 0.648986132874778 | 0.702027734250444 | 0.351013867125222 |
77 | 0.603091129873587 | 0.793817740252826 | 0.396908870126413 |
78 | 0.557340778960982 | 0.885318442078036 | 0.442659221039018 |
79 | 0.547787660060173 | 0.904424679879654 | 0.452212339939827 |
80 | 0.50443226380856 | 0.99113547238288 | 0.49556773619144 |
81 | 0.55884829081543 | 0.88230341836914 | 0.44115170918457 |
82 | 0.518416418137797 | 0.963167163724406 | 0.481583581862203 |
83 | 0.94541618328173 | 0.109167633436541 | 0.0545838167182706 |
84 | 0.934340709097778 | 0.131318581804444 | 0.0656592909022219 |
85 | 0.926373915367213 | 0.147252169265573 | 0.0736260846327867 |
86 | 0.907944187916559 | 0.184111624166882 | 0.0920558120834412 |
87 | 0.895822493547362 | 0.208355012905276 | 0.104177506452638 |
88 | 0.91229436986366 | 0.175411260272679 | 0.0877056301363397 |
89 | 0.898536805425585 | 0.202926389148829 | 0.101463194574415 |
90 | 0.875178733492747 | 0.249642533014506 | 0.124821266507253 |
91 | 0.853281977173142 | 0.293436045653715 | 0.146718022826858 |
92 | 0.823743839885157 | 0.352512320229687 | 0.176256160114843 |
93 | 0.793692740738723 | 0.412614518522555 | 0.206307259261277 |
94 | 0.760022749478536 | 0.479954501042928 | 0.239977250521464 |
95 | 0.725279982536743 | 0.549440034926515 | 0.274720017463257 |
96 | 0.703142194498975 | 0.59371561100205 | 0.296857805501025 |
97 | 0.727846654089985 | 0.54430669182003 | 0.272153345910015 |
98 | 0.775392144210561 | 0.449215711578878 | 0.224607855789439 |
99 | 0.781926685554553 | 0.436146628890893 | 0.218073314445447 |
100 | 0.835571653412115 | 0.32885669317577 | 0.164428346587885 |
101 | 0.799982491237333 | 0.400035017525334 | 0.200017508762667 |
102 | 0.815379069425825 | 0.36924186114835 | 0.184620930574175 |
103 | 0.778230757932635 | 0.443538484134731 | 0.221769242067365 |
104 | 0.888852063505443 | 0.222295872989113 | 0.111147936494557 |
105 | 0.912330437801133 | 0.175339124397733 | 0.0876695621988667 |
106 | 0.899139163792617 | 0.201721672414766 | 0.100860836207383 |
107 | 0.878238702828778 | 0.243522594342445 | 0.121761297171222 |
108 | 0.852211117444327 | 0.295577765111346 | 0.147788882555673 |
109 | 0.842577918730061 | 0.314844162539878 | 0.157422081269939 |
110 | 0.930387955131977 | 0.139224089736047 | 0.0696120448680234 |
111 | 0.915247823216512 | 0.169504353566976 | 0.0847521767834881 |
112 | 0.894440542294716 | 0.211118915410568 | 0.105559457705284 |
113 | 0.913190679520826 | 0.173618640958347 | 0.0868093204791736 |
114 | 0.907661509910388 | 0.184676980179224 | 0.0923384900896122 |
115 | 0.88518615866528 | 0.229627682669440 | 0.114813841334720 |
116 | 0.856947096295046 | 0.286105807409907 | 0.143052903704954 |
117 | 0.88109489416703 | 0.237810211665940 | 0.118905105832970 |
118 | 0.849831489269224 | 0.300337021461552 | 0.150168510730776 |
119 | 0.812957311348095 | 0.37408537730381 | 0.187042688651905 |
120 | 0.81592862576943 | 0.368142748461141 | 0.184071374230571 |
121 | 0.767832753445104 | 0.464334493109793 | 0.232167246554896 |
122 | 0.755375687094161 | 0.489248625811677 | 0.244624312905839 |
123 | 0.719218733703758 | 0.561562532592484 | 0.280781266296242 |
124 | 0.673663176708118 | 0.652673646583763 | 0.326336823291882 |
125 | 0.692213154351581 | 0.615573691296837 | 0.307786845648419 |
126 | 0.644214929492162 | 0.711570141015677 | 0.355785070507838 |
127 | 0.580688364763756 | 0.838623270472487 | 0.419311635236244 |
128 | 0.512166539271804 | 0.975666921456392 | 0.487833460728196 |
129 | 0.429069523512879 | 0.858139047025757 | 0.570930476487121 |
130 | 0.581918238885136 | 0.836163522229727 | 0.418081761114864 |
131 | 0.517740755401431 | 0.964518489197138 | 0.482259244598569 |
132 | 0.449496241244478 | 0.898992482488955 | 0.550503758755522 |
133 | 0.398360322627083 | 0.796720645254167 | 0.601639677372917 |
134 | 0.2936210521642 | 0.5872421043284 | 0.7063789478358 |
135 | 0.270692557961984 | 0.541385115923969 | 0.729307442038016 |
136 | 0.238682070364268 | 0.477364140728537 | 0.761317929635732 |
137 | 0.322334335869288 | 0.644668671738575 | 0.677665664130712 |
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 | 0.0310077519379845 | OK |
10% type I error level | 6 | 0.0465116279069767 | OK |