Multiple Linear Regression - Estimated Regression Equation |
Perceived_happiness[t] = + 18.0703506993062 -0.345268804897921Doubts_about_actions[t] -0.169898748342036`Doubts_about_actions*G`[t] -0.0551277931462227Parental_expectations[t] + 0.246451657746884`Parental_expectations*G`[t] -0.0770701169689628Personal_standards[t] + 0.172410480676388`Personal_standards*G`[t] + 0.0569201045809098Organization[t] -0.200013667756433`Organization*G`[t] + 0.00150951858246073t + 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) | 18.0703506993062 | 2.565253 | 7.0443 | 0 | 0 |
Doubts_about_actions | -0.345268804897921 | 0.147741 | -2.337 | 0.022307 | 0.011153 |
`Doubts_about_actions*G` | -0.169898748342036 | 0.182982 | -0.9285 | 0.35634 | 0.17817 |
Parental_expectations | -0.0551277931462227 | 0.138559 | -0.3979 | 0.691941 | 0.345971 |
`Parental_expectations*G` | 0.246451657746884 | 0.17258 | 1.428 | 0.157725 | 0.078862 |
Personal_standards | -0.0770701169689628 | 0.10012 | -0.7698 | 0.444021 | 0.22201 |
`Personal_standards*G` | 0.172410480676388 | 0.132078 | 1.3054 | 0.19604 | 0.09802 |
Organization | 0.0569201045809098 | 0.123354 | 0.4614 | 0.645916 | 0.322958 |
`Organization*G` | -0.200013667756433 | 0.14675 | -1.363 | 0.177266 | 0.088633 |
t | 0.00150951858246073 | 0.011175 | 0.1351 | 0.892935 | 0.446468 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.518248205118805 |
R-squared | 0.268581202108863 |
Adjusted R-squared | 0.174541642380002 |
F-TEST (value) | 2.85604486966176 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 70 |
p-value | 0.00631789732661947 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.25228355117066 |
Sum Squared Residuals | 355.094683641174 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 10 | 12.2619311365579 | -2.26193113655788 |
2 | 14 | 12.8381508426848 | 1.16184915731519 |
3 | 18 | 17.5192514656597 | 0.48074853434025 |
4 | 15 | 13.2267153663494 | 1.77328463365062 |
5 | 18 | 15.6311545427352 | 2.36884545726481 |
6 | 11 | 13.1713933230825 | -2.17139332308251 |
7 | 17 | 13.8399743208887 | 3.16002567911133 |
8 | 19 | 13.7080098115184 | 5.29199018848158 |
9 | 7 | 10.6098696830817 | -3.60986968308168 |
10 | 12 | 13.3306215977677 | -1.33062159776772 |
11 | 13 | 12.7284221235247 | 0.271577876475294 |
12 | 15 | 14.2034188903085 | 0.796581109691524 |
13 | 14 | 14.3552435913157 | -0.355243591315667 |
14 | 14 | 13.2017543382737 | 0.798245661726278 |
15 | 16 | 13.1682605100514 | 2.83173948994861 |
16 | 16 | 15.399380649944 | 0.600619350055991 |
17 | 12 | 14.4170360555073 | -2.41703605550725 |
18 | 12 | 14.3330254874041 | -2.3330254874041 |
19 | 13 | 14.0702485663284 | -1.07024856632844 |
20 | 16 | 13.4716581255676 | 2.52834187443244 |
21 | 9 | 11.6669633401306 | -2.66696334013058 |
22 | 11 | 13.751558118521 | -2.75155811852096 |
23 | 14 | 15.6121700188513 | -1.61217001885127 |
24 | 11 | 14.1842488778346 | -3.1842488778346 |
25 | 17 | 14.765126973043 | 2.23487302695698 |
26 | 14 | 15.757696690988 | -1.75769669098798 |
27 | 15 | 16.1056496860839 | -1.1056496860839 |
28 | 11 | 11.3370555299361 | -0.337055529936082 |
29 | 15 | 12.9142987716535 | 2.08570122834653 |
30 | 14 | 11.8718521729662 | 2.12814782703375 |
31 | 11 | 14.9004364932413 | -3.90043649324129 |
32 | 12 | 12.3880251306762 | -0.38802513067621 |
33 | 9 | 13.7292200066648 | -4.72922000666483 |
34 | 16 | 15.6387053252094 | 0.361294674790579 |
35 | 13 | 13.4245572334188 | -0.424557233418767 |
36 | 15 | 13.2566622600348 | 1.74333773996524 |
37 | 10 | 11.6961282469054 | -1.69612824690536 |
38 | 13 | 13.5464166242912 | -0.546416624291184 |
39 | 16 | 13.1736202720644 | 2.82637972793562 |
40 | 15 | 15.3282777555719 | -0.328277755571851 |
41 | 13 | 11.8694045411636 | 1.13059545883639 |
42 | 16 | 13.2090175117778 | 2.79098248822217 |
43 | 15 | 15.2307041669913 | -0.230704166991284 |
44 | 16 | 11.9417345392393 | 4.05826546076072 |
45 | 15 | 13.9426460809486 | 1.0573539190514 |
46 | 13 | 13.486838896906 | -0.486838896906002 |
47 | 11 | 13.2332835849634 | -2.2332835849634 |
48 | 17 | 13.9285440006273 | 3.07145599937273 |
49 | 10 | 13.1686396290431 | -3.16863962904307 |
50 | 17 | 14.4478104012621 | 2.55218959873794 |
51 | 14 | 13.0662341439889 | 0.933765856011064 |
52 | 15 | 13.3927351038594 | 1.60726489614055 |
53 | 16 | 15.2374623515638 | 0.762537648436204 |
54 | 12 | 13.3116306536396 | -1.31163065363964 |
55 | 11 | 13.0813973300353 | -2.0813973300353 |
56 | 16 | 16.043988724088 | -0.0439887240879911 |
57 | 9 | 12.95411824604 | -3.95411824604005 |
58 | 15 | 13.3025814034348 | 1.69741859656521 |
59 | 15 | 13.9303209366642 | 1.06967906333577 |
60 | 13 | 13.8657852389493 | -0.865785238949253 |
61 | 15 | 15.1162305074995 | -0.116230507499534 |
62 | 15 | 14.2788948194315 | 0.721105180568487 |
63 | 18 | 15.7680571610859 | 2.2319428389141 |
64 | 16 | 12.8360715888715 | 3.16392841112854 |
65 | 12 | 12.5350689078074 | -0.535068907807392 |
66 | 15 | 15.3917013639606 | -0.391701363960622 |
67 | 13 | 16.0847926361749 | -3.08479263617491 |
68 | 13 | 15.1067698984458 | -2.10676989844584 |
69 | 13 | 12.1843672523564 | 0.815632747643603 |
70 | 14 | 13.1792320331751 | 0.82076796682491 |
71 | 15 | 14.1378589804472 | 0.862141019552834 |
72 | 11 | 13.3099557886439 | -2.30995578864391 |
73 | 14 | 13.1361061674756 | 0.863893832524391 |
74 | 17 | 14.637195779846 | 2.36280422015396 |
75 | 13 | 14.7164163389786 | -1.7164163389786 |
76 | 12 | 14.2106230607561 | -2.21062306075612 |
77 | 13 | 13.7363763671747 | -0.736376367174665 |
78 | 16 | 14.4927526365224 | 1.50724736347762 |
79 | 13 | 14.9421683791614 | -1.94216837916136 |
80 | 19 | 16.0202928903622 | 2.97970710963783 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.437772229535027 | 0.875544459070053 | 0.562227770464973 |
14 | 0.582381482466691 | 0.835237035066617 | 0.417618517533309 |
15 | 0.458596636478108 | 0.917193272956216 | 0.541403363521892 |
16 | 0.385873374959679 | 0.771746749919359 | 0.61412662504032 |
17 | 0.82927803614241 | 0.341443927715181 | 0.170721963857591 |
18 | 0.8857715815869 | 0.2284568368262 | 0.1142284184131 |
19 | 0.82982253521735 | 0.340354929565299 | 0.170177464782649 |
20 | 0.801935751780917 | 0.396128496438166 | 0.198064248219083 |
21 | 0.831227796950172 | 0.337544406099657 | 0.168772203049828 |
22 | 0.81405867113397 | 0.371882657732059 | 0.185941328866029 |
23 | 0.753254934036226 | 0.493490131927548 | 0.246745065963774 |
24 | 0.739019850524853 | 0.521960298950294 | 0.260980149475147 |
25 | 0.797064835304757 | 0.405870329390487 | 0.202935164695243 |
26 | 0.770770556933691 | 0.458458886132618 | 0.229229443066309 |
27 | 0.715912460797774 | 0.568175078404452 | 0.284087539202226 |
28 | 0.647491374013458 | 0.705017251973084 | 0.352508625986542 |
29 | 0.621965191974821 | 0.756069616050358 | 0.378034808025179 |
30 | 0.760481976285808 | 0.479036047428384 | 0.239518023714192 |
31 | 0.827365264777457 | 0.345269470445085 | 0.172634735222543 |
32 | 0.775558063115986 | 0.448883873768027 | 0.224441936884014 |
33 | 0.906479417605451 | 0.187041164789097 | 0.0935205823945485 |
34 | 0.886298282145543 | 0.227403435708914 | 0.113701717854457 |
35 | 0.846709090897876 | 0.306581818204248 | 0.153290909102124 |
36 | 0.850373152994412 | 0.299253694011176 | 0.149626847005588 |
37 | 0.827706548248824 | 0.344586903502353 | 0.172293451751176 |
38 | 0.80611754167383 | 0.387764916652339 | 0.193882458326169 |
39 | 0.86381981880009 | 0.27236036239982 | 0.13618018119991 |
40 | 0.827393350502887 | 0.345213298994227 | 0.172606649497113 |
41 | 0.79511716938782 | 0.409765661224359 | 0.204882830612179 |
42 | 0.856778966780601 | 0.286442066438797 | 0.143221033219399 |
43 | 0.845925357013542 | 0.308149285972916 | 0.154074642986458 |
44 | 0.935424041277188 | 0.129151917445624 | 0.0645759587228121 |
45 | 0.91134890375691 | 0.177302192486179 | 0.0886510962430897 |
46 | 0.876752360041717 | 0.246495279916567 | 0.123247639958283 |
47 | 0.871622243064106 | 0.256755513871789 | 0.128377756935894 |
48 | 0.889865901564334 | 0.220268196871331 | 0.110134098435666 |
49 | 0.893054791548015 | 0.21389041690397 | 0.106945208451985 |
50 | 0.890477076842412 | 0.219045846315176 | 0.109522923157588 |
51 | 0.892275100349663 | 0.215449799300673 | 0.107724899650337 |
52 | 0.890292946601157 | 0.219414106797685 | 0.109707053398843 |
53 | 0.85428028440245 | 0.2914394311951 | 0.14571971559755 |
54 | 0.808222689074557 | 0.383554621850885 | 0.191777310925443 |
55 | 0.783849666691044 | 0.432300666617913 | 0.216150333308956 |
56 | 0.712959305816612 | 0.574081388366776 | 0.287040694183388 |
57 | 0.775958977868756 | 0.448082044262488 | 0.224041022131244 |
58 | 0.718634778871835 | 0.56273044225633 | 0.281365221128165 |
59 | 0.640467323077022 | 0.719065353845955 | 0.359532676922977 |
60 | 0.545165623311738 | 0.909668753376524 | 0.454834376688262 |
61 | 0.442511744211054 | 0.88502348842211 | 0.557488255788946 |
62 | 0.358737402194881 | 0.717474804389763 | 0.641262597805119 |
63 | 0.43405296914623 | 0.86810593829246 | 0.56594703085377 |
64 | 0.34624707689513 | 0.69249415379026 | 0.65375292310487 |
65 | 0.28967419837679 | 0.57934839675358 | 0.71032580162321 |
66 | 0.216754533551072 | 0.433509067102144 | 0.783245466448928 |
67 | 0.28773722362668 | 0.57547444725336 | 0.71226277637332 |
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 | 0 | 0 | OK |