Multiple Linear Regression - Estimated Regression Equation |
Selfconfidence[t] = + 13.6904599062833 -3.23857734904733Gender[t] + 0.00877329489010884ConcernMistakes[t] + 0.0239140039291088ConcernMistakes_G[t] -0.212820358169707DoubtsActions[t] -0.186727182614101DoubtsActions_G[t] + 0.0272883965522743ParentalCriticism[t] + 0.0569766005229586ParentalCriticism_G[t] + 0.0323243960587162PersonalStandards[t] -0.038112033503889PersonalStandards_G[t] + 0.117975229950911Organization[t] + 0.20126225687406Organization_G[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) | 13.6904599062833 | 1.818071 | 7.5302 | 0 | 0 |
Gender | -3.23857734904733 | 2.978129 | -1.0875 | 0.278732 | 0.139366 |
ConcernMistakes | 0.00877329489010884 | 0.047808 | 0.1835 | 0.854666 | 0.427333 |
ConcernMistakes_G | 0.0239140039291088 | 0.077534 | 0.3084 | 0.758218 | 0.379109 |
DoubtsActions | -0.212820358169707 | 0.09557 | -2.2269 | 0.027578 | 0.013789 |
DoubtsActions_G | -0.186727182614101 | 0.146837 | -1.2717 | 0.205631 | 0.102815 |
ParentalCriticism | 0.0272883965522743 | 0.087395 | 0.3122 | 0.755329 | 0.377665 |
ParentalCriticism_G | 0.0569766005229586 | 0.144895 | 0.3932 | 0.694759 | 0.34738 |
PersonalStandards | 0.0323243960587162 | 0.061268 | 0.5276 | 0.598631 | 0.299316 |
PersonalStandards_G | -0.038112033503889 | 0.104694 | -0.364 | 0.716391 | 0.358195 |
Organization | 0.117975229950911 | 0.063028 | 1.8718 | 0.063354 | 0.031677 |
Organization_G | 0.20126225687406 | 0.114274 | 1.7612 | 0.080416 | 0.040208 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.478100989985447 |
R-squared | 0.228580556625065 |
Adjusted R-squared | 0.16709060099373 |
F-TEST (value) | 3.71736414961047 |
F-TEST (DF numerator) | 11 |
F-TEST (DF denominator) | 138 |
p-value | 0.000117570465484218 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.07435659787837 |
Sum Squared Residuals | 593.80783073229 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 15.9244033794531 | -2.92440337945306 |
2 | 16 | 15.7537883801615 | 0.246211619838472 |
3 | 19 | 15.4057083847125 | 3.59429161528748 |
4 | 15 | 13.7839279492215 | 1.21607205077851 |
5 | 14 | 14.9505730477062 | -0.950573047706224 |
6 | 13 | 15.3440780002771 | -2.34407800027713 |
7 | 19 | 14.7749452411399 | 4.22505475886011 |
8 | 15 | 15.999341490788 | -0.99934149078803 |
9 | 14 | 15.7352249296477 | -1.73522492964765 |
10 | 15 | 14.5096438458473 | 0.490356154152711 |
11 | 16 | 15.147417901838 | 0.852582098162033 |
12 | 16 | 15.0109219850529 | 0.98907801494712 |
13 | 16 | 14.8151634815918 | 1.18483651840823 |
14 | 17 | 16.7001035733494 | 0.299896426650644 |
15 | 15 | 11.5428174578176 | 3.45718254218244 |
16 | 15 | 15.5370191361718 | -0.537019136171766 |
17 | 20 | 16.2634258774095 | 3.7365741225905 |
18 | 18 | 16.0671671525525 | 1.93283284744751 |
19 | 16 | 16.2325291023858 | -0.232529102385761 |
20 | 16 | 13.9455165793955 | 2.05448342060446 |
21 | 19 | 15.3086157014263 | 3.69138429857371 |
22 | 16 | 14.6131207090056 | 1.38687929099442 |
23 | 17 | 16.0754446539469 | 0.924555346053067 |
24 | 17 | 15.1623835630412 | 1.83761643695884 |
25 | 16 | 14.1113981164146 | 1.88860188358541 |
26 | 15 | 13.7526207918341 | 1.24737920816588 |
27 | 14 | 15.8525075114034 | -1.85250751140338 |
28 | 15 | 15.8571549046436 | -0.857154904643638 |
29 | 12 | 14.5724869371323 | -2.57248693713228 |
30 | 14 | 15.1063170296204 | -1.10631702962038 |
31 | 16 | 15.5250306676379 | 0.474969332362088 |
32 | 14 | 15.6586053429802 | -1.65860534298015 |
33 | 7 | 14.1273172645846 | -7.12731726458463 |
34 | 10 | 12.774635684856 | -2.77463568485596 |
35 | 14 | 14.1523005086941 | -0.152300508694102 |
36 | 16 | 16.4066349494271 | -0.406634949427065 |
37 | 16 | 13.9703777149178 | 2.02962228508223 |
38 | 16 | 12.5366637102876 | 3.46333628971245 |
39 | 14 | 15.5565292391564 | -1.55652923915643 |
40 | 20 | 18.3653833883118 | 1.6346166116882 |
41 | 14 | 14.2389702289017 | -0.238970228901665 |
42 | 14 | 15.2325191694071 | -1.23251916940708 |
43 | 11 | 14.5725694031111 | -3.57256940311107 |
44 | 15 | 15.4554079952953 | -0.455407995295286 |
45 | 16 | 15.5125200773641 | 0.487479922635864 |
46 | 14 | 14.9762567257839 | -0.976256725783944 |
47 | 16 | 14.3860851039445 | 1.61391489605552 |
48 | 14 | 15.0668203990549 | -1.06682039905489 |
49 | 12 | 14.6988543566534 | -2.69885435665342 |
50 | 16 | 15.1790857500451 | 0.820914249954856 |
51 | 9 | 12.1697546075229 | -3.16975460752286 |
52 | 14 | 14.6423117000206 | -0.64231170002056 |
53 | 16 | 15.666511053809 | 0.333488946191029 |
54 | 16 | 15.1284267393245 | 0.871573260675543 |
55 | 15 | 14.6666780965847 | 0.333321903415258 |
56 | 16 | 15.2755527567287 | 0.724447243271338 |
57 | 12 | 13.1065870035093 | -1.10658700350926 |
58 | 16 | 16.033474846882 | -0.0334748468819896 |
59 | 16 | 16.0260662005621 | -0.0260662005620591 |
60 | 14 | 16.382009611696 | -2.38200961169597 |
61 | 16 | 13.6148836362444 | 2.38511636375564 |
62 | 17 | 16.8238241036963 | 0.176175896303671 |
63 | 18 | 14.796944482711 | 3.20305551728899 |
64 | 18 | 16.0772621786825 | 1.92273782131755 |
65 | 12 | 15.0086158419986 | -3.00861584199858 |
66 | 16 | 16.0120576157256 | -0.0120576157256189 |
67 | 10 | 13.9285122580368 | -3.92851225803681 |
68 | 14 | 13.179433058654 | 0.820566941345987 |
69 | 18 | 15.879095513538 | 2.12090448646198 |
70 | 18 | 17.1956789531862 | 0.80432104681376 |
71 | 16 | 15.171226792168 | 0.828773207831987 |
72 | 16 | 15.6043664588382 | 0.395633541161823 |
73 | 16 | 14.6619737067197 | 1.33802629328028 |
74 | 13 | 14.5023013137842 | -1.50230131378418 |
75 | 16 | 15.1146969118119 | 0.885303088188091 |
76 | 16 | 14.6869259484412 | 1.31307405155878 |
77 | 20 | 16.8175350964247 | 3.18246490357525 |
78 | 16 | 15.2578670109011 | 0.742132989098926 |
79 | 15 | 11.1225136152367 | 3.87748638476326 |
80 | 15 | 15.5863505207698 | -0.586350520769762 |
81 | 16 | 15.7119394975354 | 0.288060502464623 |
82 | 14 | 13.6902099260435 | 0.309790073956472 |
83 | 15 | 13.7792420513741 | 1.22075794862592 |
84 | 12 | 14.9870395642523 | -2.98703956425231 |
85 | 17 | 16.4435075479248 | 0.556492452075229 |
86 | 16 | 15.5006996868776 | 0.499300313122432 |
87 | 15 | 13.7996608748901 | 1.20033912510991 |
88 | 13 | 14.3893691806829 | -1.38936918068286 |
89 | 16 | 15.582204868988 | 0.41779513101199 |
90 | 16 | 15.3177938214201 | 0.682206178579898 |
91 | 16 | 15.9487319563102 | 0.0512680436898163 |
92 | 16 | 16.4773001309686 | -0.477300130968617 |
93 | 14 | 15.2449713483551 | -1.24497134835508 |
94 | 16 | 14.3564846291403 | 1.64351537085972 |
95 | 16 | 13.8230304036733 | 2.17696959632668 |
96 | 20 | 16.0757623245403 | 3.92423767545967 |
97 | 15 | 16.1749351449768 | -1.17493514497681 |
98 | 16 | 14.419096168496 | 1.58090383150398 |
99 | 13 | 13.0649088565378 | -0.0649088565377565 |
100 | 17 | 15.9058237546064 | 1.09417624539357 |
101 | 16 | 13.918983115302 | 2.08101688469799 |
102 | 12 | 13.3258665170576 | -1.32586651705765 |
103 | 16 | 14.9896405037922 | 1.01035949620776 |
104 | 16 | 15.2453599519217 | 0.75464004807832 |
105 | 17 | 15.342283663855 | 1.65771633614501 |
106 | 13 | 11.8302166483025 | 1.16978335169754 |
107 | 12 | 15.6929676906234 | -3.69296769062342 |
108 | 18 | 16.0000227516948 | 1.99997724830517 |
109 | 14 | 14.407654319102 | -0.407654319101987 |
110 | 14 | 14.696283475394 | -0.696283475394039 |
111 | 13 | 14.2191130615465 | -1.21911306154654 |
112 | 16 | 15.4597860142233 | 0.540213985776681 |
113 | 13 | 13.3858924291833 | -0.385892429183331 |
114 | 16 | 15.0149411238257 | 0.98505887617433 |
115 | 13 | 15.1798782726753 | -2.17987827267529 |
116 | 16 | 15.8928564590829 | 0.10714354091714 |
117 | 15 | 14.7471229731149 | 0.252877026885079 |
118 | 16 | 15.5672752636237 | 0.432724736376266 |
119 | 15 | 14.4371022084823 | 0.562897791517722 |
120 | 17 | 15.7711922826 | 1.22880771740001 |
121 | 15 | 16.0576682223147 | -1.05766822231465 |
122 | 12 | 14.1003992829567 | -2.10039928295671 |
123 | 16 | 14.2452537355041 | 1.75474626449588 |
124 | 10 | 14.5407968772968 | -4.54079687729676 |
125 | 16 | 14.9916672073607 | 1.00833279263933 |
126 | 14 | 14.2729181932461 | -0.272918193246106 |
127 | 15 | 16.2239857707387 | -1.22398577073869 |
128 | 13 | 13.9311249183268 | -0.931124918326784 |
129 | 15 | 14.605647372226 | 0.394352627774 |
130 | 11 | 14.2537990121 | -3.25379901210002 |
131 | 12 | 14.4104160847048 | -2.41041608470483 |
132 | 8 | 13.9681560904257 | -5.96815609042569 |
133 | 16 | 15.9742547043547 | 0.025745295645268 |
134 | 15 | 15.5948091988777 | -0.594809198877692 |
135 | 17 | 15.5428877887217 | 1.45711221127833 |
136 | 16 | 14.8790947982401 | 1.12090520175987 |
137 | 10 | 15.2055609650956 | -5.20556096509563 |
138 | 18 | 14.1616858341785 | 3.83831416582149 |
139 | 13 | 13.7430386209006 | -0.743038620900636 |
140 | 15 | 14.7419604605995 | 0.258039539400483 |
141 | 16 | 14.1113981164146 | 1.88860188358541 |
142 | 16 | 15.1089926020232 | 0.891007397976815 |
143 | 14 | 14.2015700030607 | -0.201570003060701 |
144 | 10 | 13.9523220553945 | -3.95232205539449 |
145 | 17 | 16.4435075479248 | 0.556492452075229 |
146 | 13 | 15.1489044608854 | -2.14890446088543 |
147 | 15 | 16.0576682223147 | -1.05766822231465 |
148 | 16 | 15.7749295779837 | 0.225070422016346 |
149 | 12 | 15.5326927633043 | -3.53269276330432 |
150 | 13 | 14.0179669199171 | -1.01796691991715 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
15 | 0.925254089848804 | 0.149491820302391 | 0.0747459101511956 |
16 | 0.85818947737465 | 0.283621045250699 | 0.14181052262535 |
17 | 0.784345153699594 | 0.431309692600813 | 0.215654846300406 |
18 | 0.69213703725387 | 0.615725925492261 | 0.307862962746131 |
19 | 0.584219948475781 | 0.831560103048437 | 0.415780051524219 |
20 | 0.484634882636314 | 0.969269765272629 | 0.515365117363686 |
21 | 0.642420080915322 | 0.715159838169356 | 0.357579919084678 |
22 | 0.651353413045579 | 0.697293173908842 | 0.348646586954421 |
23 | 0.584431947411197 | 0.831136105177605 | 0.415568052588803 |
24 | 0.530680636161421 | 0.938638727677158 | 0.469319363838579 |
25 | 0.47595492799861 | 0.95190985599722 | 0.52404507200139 |
26 | 0.434494451061421 | 0.868988902122841 | 0.56550554893858 |
27 | 0.386262921554637 | 0.772525843109275 | 0.613737078445363 |
28 | 0.579825891232321 | 0.840348217535359 | 0.420174108767679 |
29 | 0.600543643877045 | 0.79891271224591 | 0.399456356122955 |
30 | 0.550894315694996 | 0.898211368610009 | 0.449105684305004 |
31 | 0.493281594379401 | 0.986563188758802 | 0.506718405620599 |
32 | 0.433179628910959 | 0.866359257821919 | 0.56682037108904 |
33 | 0.967513573694358 | 0.0649728526112841 | 0.0324864263056421 |
34 | 0.973740299541029 | 0.0525194009179427 | 0.0262597004589713 |
35 | 0.963032736042512 | 0.0739345279149765 | 0.0369672639574882 |
36 | 0.952322772754245 | 0.0953544544915092 | 0.0476772272457546 |
37 | 0.951317726188006 | 0.0973645476239889 | 0.0486822738119944 |
38 | 0.966970787558677 | 0.066058424882646 | 0.033029212441323 |
39 | 0.963226705099636 | 0.0735465898007276 | 0.0367732949003638 |
40 | 0.97728840585724 | 0.0454231882855185 | 0.0227115941427592 |
41 | 0.968298721982585 | 0.0634025560348293 | 0.0317012780174147 |
42 | 0.966004601111864 | 0.0679907977762715 | 0.0339953988881357 |
43 | 0.98151848604972 | 0.0369630279005596 | 0.0184815139502798 |
44 | 0.974490820257012 | 0.0510183594859759 | 0.025509179742988 |
45 | 0.966260358508043 | 0.0674792829839135 | 0.0337396414919567 |
46 | 0.956616513312828 | 0.0867669733743436 | 0.0433834866871718 |
47 | 0.947658633317503 | 0.104682733364994 | 0.052341366682497 |
48 | 0.935650101415385 | 0.128699797169229 | 0.0643498985846147 |
49 | 0.943153675039884 | 0.113692649920233 | 0.0568463249601164 |
50 | 0.927994290252675 | 0.144011419494651 | 0.0720057097473255 |
51 | 0.941690660771955 | 0.11661867845609 | 0.0583093392280449 |
52 | 0.92606344744373 | 0.147873105112541 | 0.0739365525562703 |
53 | 0.907643487481896 | 0.184713025036208 | 0.0923565125181039 |
54 | 0.892563784126474 | 0.214872431747052 | 0.107436215873526 |
55 | 0.870755419331386 | 0.258489161337228 | 0.129244580668614 |
56 | 0.84473688569058 | 0.310526228618841 | 0.155263114309421 |
57 | 0.81765686827891 | 0.364686263442182 | 0.182343131721091 |
58 | 0.783789388568891 | 0.432421222862218 | 0.216210611431109 |
59 | 0.744997731793408 | 0.510004536413184 | 0.255002268206592 |
60 | 0.755217265379425 | 0.48956546924115 | 0.244782734620575 |
61 | 0.757865144120109 | 0.484269711759782 | 0.242134855879891 |
62 | 0.716177701992742 | 0.567644596014516 | 0.283822298007258 |
63 | 0.76490913259024 | 0.470181734819519 | 0.23509086740976 |
64 | 0.760763445926961 | 0.478473108146078 | 0.239236554073039 |
65 | 0.810138542998531 | 0.379722914002937 | 0.189861457001469 |
66 | 0.77595061078263 | 0.448098778434741 | 0.224049389217371 |
67 | 0.860957174774246 | 0.278085650451508 | 0.139042825225754 |
68 | 0.836340735180344 | 0.327318529639311 | 0.163659264819656 |
69 | 0.84021697668632 | 0.319566046627361 | 0.15978302331368 |
70 | 0.813199547594263 | 0.373600904811475 | 0.186800452405737 |
71 | 0.783890091677019 | 0.432219816645962 | 0.216109908322981 |
72 | 0.746610747460151 | 0.506778505079698 | 0.253389252539849 |
73 | 0.721556810116908 | 0.556886379766185 | 0.278443189883092 |
74 | 0.705996694970594 | 0.588006610058813 | 0.294003305029406 |
75 | 0.686268160130571 | 0.627463679738857 | 0.313731839869429 |
76 | 0.655802245254893 | 0.688395509490214 | 0.344197754745107 |
77 | 0.720779204923739 | 0.558441590152523 | 0.279220795076261 |
78 | 0.68370996226852 | 0.63258007546296 | 0.31629003773148 |
79 | 0.78450444846926 | 0.43099110306148 | 0.21549555153074 |
80 | 0.748772051906274 | 0.502455896187453 | 0.251227948093726 |
81 | 0.707198567373538 | 0.585602865252924 | 0.292801432626462 |
82 | 0.70815535716805 | 0.583689285663899 | 0.29184464283195 |
83 | 0.680295405347957 | 0.639409189304086 | 0.319704594652043 |
84 | 0.735328121184529 | 0.529343757630942 | 0.264671878815471 |
85 | 0.695619906344379 | 0.608760187311242 | 0.304380093655621 |
86 | 0.652873489783573 | 0.694253020432854 | 0.347126510216427 |
87 | 0.62642980622222 | 0.74714038755556 | 0.37357019377778 |
88 | 0.600676963621478 | 0.798646072757044 | 0.399323036378522 |
89 | 0.553331822339662 | 0.893336355320676 | 0.446668177660338 |
90 | 0.508026385928306 | 0.983947228143388 | 0.491973614071694 |
91 | 0.455982018962008 | 0.911964037924016 | 0.544017981037992 |
92 | 0.425034065191444 | 0.850068130382887 | 0.574965934808556 |
93 | 0.440137523358535 | 0.880275046717069 | 0.559862476641465 |
94 | 0.441105800396944 | 0.882211600793888 | 0.558894199603056 |
95 | 0.437415716647415 | 0.87483143329483 | 0.562584283352585 |
96 | 0.590751366041495 | 0.81849726791701 | 0.409248633958505 |
97 | 0.549769078059126 | 0.900461843881748 | 0.450230921940874 |
98 | 0.556615354760942 | 0.886769290478116 | 0.443384645239058 |
99 | 0.506639996599345 | 0.98672000680131 | 0.493360003400655 |
100 | 0.477757605029646 | 0.95551521005929 | 0.522242394970354 |
101 | 0.473484940590007 | 0.946969881180014 | 0.526515059409993 |
102 | 0.44759724568268 | 0.895194491365361 | 0.55240275431732 |
103 | 0.413636180162316 | 0.827272360324633 | 0.586363819837683 |
104 | 0.392296295270274 | 0.784592590540549 | 0.607703704729726 |
105 | 0.406680507944709 | 0.813361015889417 | 0.593319492055291 |
106 | 0.430856763274346 | 0.861713526548692 | 0.569143236725654 |
107 | 0.54758168134385 | 0.9048366373123 | 0.45241831865615 |
108 | 0.598187419643846 | 0.803625160712308 | 0.401812580356154 |
109 | 0.575479375285098 | 0.849041249429805 | 0.424520624714902 |
110 | 0.520627326781922 | 0.958745346436156 | 0.479372673218078 |
111 | 0.46986387566669 | 0.93972775133338 | 0.53013612433331 |
112 | 0.416762011879355 | 0.83352402375871 | 0.583237988120645 |
113 | 0.371935713918518 | 0.743871427837036 | 0.628064286081482 |
114 | 0.36192475432827 | 0.723849508656539 | 0.63807524567173 |
115 | 0.349405062210559 | 0.698810124421117 | 0.650594937789441 |
116 | 0.290837049844612 | 0.581674099689224 | 0.709162950155388 |
117 | 0.267867326619525 | 0.53573465323905 | 0.732132673380475 |
118 | 0.263528568908791 | 0.527057137817581 | 0.73647143109121 |
119 | 0.254935884065091 | 0.509871768130182 | 0.745064115934909 |
120 | 0.231280060436479 | 0.462560120872959 | 0.76871993956352 |
121 | 0.187506233762298 | 0.375012467524595 | 0.812493766237703 |
122 | 0.164770265308406 | 0.329540530616811 | 0.835229734691594 |
123 | 0.173964337109354 | 0.347928674218708 | 0.826035662890646 |
124 | 0.252015073030027 | 0.504030146060054 | 0.747984926969973 |
125 | 0.196259428395544 | 0.392518856791089 | 0.803740571604456 |
126 | 0.148415986340889 | 0.296831972681778 | 0.851584013659111 |
127 | 0.107486237223407 | 0.214972474446814 | 0.892513762776593 |
128 | 0.096171535467252 | 0.192343070934504 | 0.903828464532748 |
129 | 0.0630616551263485 | 0.126123310252697 | 0.936938344873651 |
130 | 0.0490195071451278 | 0.0980390142902556 | 0.950980492854872 |
131 | 0.0351791673202444 | 0.0703583346404888 | 0.964820832679756 |
132 | 0.0289185356943467 | 0.0578370713886934 | 0.971081464305653 |
133 | 0.015359781853913 | 0.030719563707826 | 0.984640218146087 |
134 | 0.00702237965933809 | 0.0140447593186762 | 0.992977620340662 |
135 | 0.0124805011868111 | 0.0249610023736221 | 0.987519498813189 |
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 | 5 | 0.0413223140495868 | OK |
10% type I error level | 20 | 0.165289256198347 | NOK |