Multiple Linear Regression - Estimated Regression Equation |
Personal_Standards[t] = + 7.96604226904438 + 0.329539554855599Concern_over_Mistakes[t] -0.359820551945858Doubts_about_actions[t] + 0.188740986166916Parental_Expectations[t] + 0.0212197379128767Parental_Criticism[t] + 0.389772656468927Organization[t] -0.00400911738275322t + 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) | 7.96604226904438 | 2.379902 | 3.3472 | 0.001029 | 0.000514 |
Concern_over_Mistakes | 0.329539554855599 | 0.055687 | 5.9177 | 0 | 0 |
Doubts_about_actions | -0.359820551945858 | 0.107409 | -3.35 | 0.001019 | 0.00051 |
Parental_Expectations | 0.188740986166916 | 0.101382 | 1.8617 | 0.064579 | 0.032289 |
Parental_Criticism | 0.0212197379128767 | 0.128902 | 0.1646 | 0.869462 | 0.434731 |
Organization | 0.389772656468927 | 0.074001 | 5.2671 | 0 | 0 |
t | -0.00400911738275322 | 0.006096 | -0.6576 | 0.511774 | 0.255887 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.60733895095595 |
R-squared | 0.368860601348274 |
Adjusted R-squared | 0.343947204033075 |
F-TEST (value) | 14.8057126325052 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 2.75446332409501e-13 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.41561362661657 |
Sum Squared Residuals | 1773.29529984198 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 23.2983715119367 | 0.701628488063308 |
2 | 25 | 22.6942027395211 | 2.30579726047886 |
3 | 30 | 24.5199351176299 | 5.48006488237011 |
4 | 19 | 20.5858100273213 | -1.58581002732132 |
5 | 22 | 20.860694202093 | 1.139305797907 |
6 | 22 | 23.3332519599708 | -1.33325195997085 |
7 | 25 | 22.8359102362292 | 2.16408976377076 |
8 | 23 | 19.7433698869927 | 3.25663011300733 |
9 | 17 | 19.0929718105762 | -2.09297181057615 |
10 | 21 | 21.9165848536408 | -0.916584853640787 |
11 | 19 | 23.0752389807623 | -4.07523898076228 |
12 | 19 | 23.7342338570091 | -4.7342338570091 |
13 | 15 | 23.4781157584617 | -8.47811575846172 |
14 | 16 | 17.4275376017424 | -1.42753760174238 |
15 | 23 | 19.7118799531881 | 3.28812004681191 |
16 | 27 | 24.2467169666893 | 2.75328303331074 |
17 | 22 | 21.2649326040891 | 0.735067395910915 |
18 | 14 | 16.8815876921881 | -2.88158769218814 |
19 | 22 | 24.3137744057991 | -2.31377440579912 |
20 | 23 | 24.3015654059286 | -1.3015654059286 |
21 | 23 | 21.8344647808193 | 1.16553521918073 |
22 | 21 | 24.7512657180051 | -3.75126571800509 |
23 | 19 | 22.6592344387476 | -3.65923443874758 |
24 | 18 | 24.0700007888973 | -6.07000078889733 |
25 | 20 | 23.3285829375965 | -3.32858293759651 |
26 | 23 | 22.6325098681894 | 0.367490131810631 |
27 | 25 | 23.5231792045445 | 1.47682079545548 |
28 | 19 | 23.5348868834222 | -4.53488688342216 |
29 | 24 | 24.0368676229268 | -0.0368676229268332 |
30 | 22 | 21.7552785590267 | 0.24472144097329 |
31 | 25 | 25.2818977678332 | -0.281897767833187 |
32 | 26 | 23.4105078659173 | 2.58949213408274 |
33 | 29 | 22.9630880072642 | 6.03691199273581 |
34 | 32 | 25.3474031449702 | 6.65259685502984 |
35 | 25 | 21.7743108175814 | 3.22568918241862 |
36 | 29 | 24.5699273386823 | 4.43007266131772 |
37 | 28 | 25.1354699100087 | 2.86453008999129 |
38 | 17 | 17.2865701563726 | -0.286570156372563 |
39 | 28 | 26.2640788714212 | 1.73592112857875 |
40 | 29 | 23.1045209199524 | 5.89547908004765 |
41 | 26 | 27.6235426441229 | -1.62354264412289 |
42 | 25 | 23.6072671246172 | 1.39273287538279 |
43 | 14 | 19.7541645453067 | -5.75416454530668 |
44 | 25 | 22.244154136256 | 2.75584586374397 |
45 | 26 | 21.8001564282314 | 4.19984357176864 |
46 | 20 | 20.3970947317837 | -0.397094731783661 |
47 | 18 | 21.5400320626448 | -3.54003206264476 |
48 | 32 | 24.7914532758987 | 7.2085467241013 |
49 | 25 | 25.1274579247346 | -0.127457924734564 |
50 | 25 | 21.8498691504186 | 3.15013084958137 |
51 | 23 | 20.9556045153761 | 2.04439548462388 |
52 | 21 | 22.2400886775895 | -1.2400886775895 |
53 | 20 | 24.0944287438478 | -4.09442874384779 |
54 | 15 | 16.669249094268 | -1.66924909426797 |
55 | 30 | 26.8437154890249 | 3.15628451097511 |
56 | 24 | 25.3699497214645 | -1.36994972146448 |
57 | 26 | 24.3476987275591 | 1.65230127244095 |
58 | 24 | 21.8018121539535 | 2.19818784604653 |
59 | 22 | 21.484935374058 | 0.515064625942027 |
60 | 14 | 15.8014939418454 | -1.80149394184543 |
61 | 24 | 22.2854594606709 | 1.71454053932907 |
62 | 24 | 22.9750971267241 | 1.02490287327593 |
63 | 24 | 23.3614191456939 | 0.6385808543061 |
64 | 24 | 20.0189528544582 | 3.98104714554175 |
65 | 19 | 18.5496603044486 | 0.450339695551411 |
66 | 31 | 26.798008800325 | 4.20199119967499 |
67 | 22 | 26.6350456957499 | -4.63504569574993 |
68 | 27 | 21.5249053710812 | 5.47509462891882 |
69 | 19 | 17.7366466889082 | 1.26335331109178 |
70 | 25 | 22.3083942408214 | 2.69160575917856 |
71 | 20 | 25.0183664969683 | -5.01836649696831 |
72 | 21 | 21.5122305319075 | -0.512230531907486 |
73 | 27 | 27.4773598801703 | -0.477359880170346 |
74 | 23 | 24.4242323611766 | -1.42423236117657 |
75 | 25 | 25.6977515557749 | -0.697751555774888 |
76 | 20 | 22.2624291133288 | -2.26242911332878 |
77 | 21 | 19.2291343758235 | 1.77086562417652 |
78 | 22 | 22.4437103446138 | -0.443710344613848 |
79 | 23 | 22.953301717284 | 0.0466982827160098 |
80 | 25 | 24.07034403294 | 0.929655967060008 |
81 | 25 | 23.3729177194378 | 1.62708228056219 |
82 | 17 | 23.7900811387154 | -6.79008113871542 |
83 | 19 | 21.4341587206824 | -2.43415872068244 |
84 | 25 | 23.9281000034919 | 1.07189999650813 |
85 | 19 | 22.3070776295078 | -3.30707762950784 |
86 | 20 | 23.1065004540058 | -3.10650045400576 |
87 | 26 | 22.4761674819085 | 3.52383251809147 |
88 | 23 | 20.6906793513582 | 2.30932064864182 |
89 | 27 | 24.4104222863531 | 2.58957771364688 |
90 | 17 | 20.866923512635 | -3.86692351263496 |
91 | 17 | 23.2984287511115 | -6.29842875111146 |
92 | 19 | 20.0852863307246 | -1.0852863307246 |
93 | 17 | 19.6773398225854 | -2.6773398225854 |
94 | 22 | 21.9947362717897 | 0.00526372821030941 |
95 | 21 | 23.4202526440523 | -2.42025264405233 |
96 | 32 | 28.5509743140169 | 3.44902568598311 |
97 | 21 | 24.613423111583 | -3.61342311158302 |
98 | 21 | 24.2893290728572 | -3.28932907285723 |
99 | 18 | 21.190662008136 | -3.19066200813604 |
100 | 18 | 21.2458664145162 | -3.24586641451617 |
101 | 23 | 22.7708636130865 | 0.22913638691355 |
102 | 19 | 20.5588978025442 | -1.55889780254423 |
103 | 20 | 20.940147928023 | -0.940147928023035 |
104 | 21 | 22.2205522470208 | -1.22055224702084 |
105 | 20 | 23.6787622428558 | -3.67876224285575 |
106 | 17 | 18.7709163550548 | -1.77091635505484 |
107 | 18 | 20.2409161325215 | -2.24091613252154 |
108 | 19 | 20.7160419870612 | -1.71604198706124 |
109 | 22 | 21.9798073138651 | 0.0201926861349339 |
110 | 15 | 18.6671601095724 | -3.66716010957239 |
111 | 14 | 18.7455905094174 | -4.74559050941742 |
112 | 18 | 26.4946006314453 | -8.49460063144532 |
113 | 24 | 21.2823173631164 | 2.71768263688361 |
114 | 35 | 23.4856379231973 | 11.5143620768027 |
115 | 29 | 19.0200425572153 | 9.97995744278472 |
116 | 21 | 21.8093283797562 | -0.809328379756241 |
117 | 25 | 20.434475624549 | 4.56552437545097 |
118 | 20 | 18.3687805549093 | 1.63121944509066 |
119 | 22 | 23.0665946336186 | -1.06659463361856 |
120 | 13 | 16.7795645839044 | -3.7795645839044 |
121 | 26 | 23.0606243822755 | 2.93937561772454 |
122 | 17 | 16.7822501478184 | 0.217749852181625 |
123 | 25 | 19.966774706835 | 5.03322529316504 |
124 | 20 | 20.537521377052 | -0.537521377052011 |
125 | 19 | 17.9325255659881 | 1.06747443401194 |
126 | 21 | 22.4367842714509 | -1.4367842714509 |
127 | 22 | 20.8482458372767 | 1.15175416272327 |
128 | 24 | 22.4656380890907 | 1.53436191090932 |
129 | 21 | 22.7498131103562 | -1.74981311035621 |
130 | 26 | 25.2723997551415 | 0.727600244858548 |
131 | 24 | 20.4356497809747 | 3.56435021902534 |
132 | 16 | 20.0909622078513 | -4.09096220785127 |
133 | 23 | 22.1129557277632 | 0.887044272236801 |
134 | 18 | 20.5712079278172 | -2.57120792781722 |
135 | 16 | 22.146357390973 | -6.146357390973 |
136 | 26 | 23.8731791007228 | 2.12682089927719 |
137 | 19 | 18.8585013905706 | 0.141498609429415 |
138 | 21 | 16.7383044297568 | 4.26169557024325 |
139 | 21 | 21.9427962002931 | -0.942796200293108 |
140 | 22 | 18.3643071408902 | 3.63569285910977 |
141 | 23 | 19.5959193437852 | 3.40408065621478 |
142 | 29 | 24.58339823696 | 4.41660176304003 |
143 | 21 | 19.1161050635558 | 1.8838949364442 |
144 | 21 | 19.6935810866946 | 1.30641891330536 |
145 | 23 | 21.6443960494122 | 1.35560395058783 |
146 | 27 | 22.7382424214086 | 4.26175757859139 |
147 | 25 | 25.1592981257536 | -0.159298125753552 |
148 | 21 | 20.7452411686009 | 0.254758831399108 |
149 | 10 | 16.9258456985059 | -6.92584569850592 |
150 | 20 | 22.3860047677318 | -2.38600476773182 |
151 | 26 | 22.274839709108 | 3.72516029089205 |
152 | 24 | 23.3707925689168 | 0.629207431083177 |
153 | 29 | 31.3326302350857 | -2.33263023508568 |
154 | 19 | 18.807087542852 | 0.192912457147973 |
155 | 24 | 21.8235235460094 | 2.1764764539906 |
156 | 19 | 20.4705844558619 | -1.47058445586195 |
157 | 24 | 23.1266831550602 | 0.873316844939805 |
158 | 22 | 21.5231153680453 | 0.47688463195473 |
159 | 17 | 23.5082376477324 | -6.5082376477324 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.305144732294912 | 0.610289464589823 | 0.694855267705089 |
11 | 0.347301195412733 | 0.694602390825465 | 0.652698804587267 |
12 | 0.250709545422878 | 0.501419090845756 | 0.749290454577122 |
13 | 0.344294876675324 | 0.688589753350648 | 0.655705123324676 |
14 | 0.263939216007887 | 0.527878432015775 | 0.736060783992113 |
15 | 0.532873731577463 | 0.934252536845073 | 0.467126268422537 |
16 | 0.469870562789765 | 0.93974112557953 | 0.530129437210235 |
17 | 0.492979769545616 | 0.985959539091232 | 0.507020230454384 |
18 | 0.466473240331404 | 0.932946480662807 | 0.533526759668596 |
19 | 0.383194930395245 | 0.76638986079049 | 0.616805069604755 |
20 | 0.488711530954048 | 0.977423061908096 | 0.511288469045952 |
21 | 0.540672970282665 | 0.918654059434669 | 0.459327029717335 |
22 | 0.476706749290984 | 0.953413498581968 | 0.523293250709016 |
23 | 0.41610646256134 | 0.83221292512268 | 0.58389353743866 |
24 | 0.417751726552837 | 0.835503453105673 | 0.582248273447163 |
25 | 0.362624988252893 | 0.725249976505787 | 0.637375011747107 |
26 | 0.322292174946879 | 0.644584349893758 | 0.677707825053121 |
27 | 0.305948533733471 | 0.611897067466942 | 0.694051466266529 |
28 | 0.283433666374724 | 0.566867332749448 | 0.716566333625276 |
29 | 0.256816034638234 | 0.513632069276469 | 0.743183965361766 |
30 | 0.212606265538741 | 0.425212531077481 | 0.78739373446126 |
31 | 0.184231378270535 | 0.36846275654107 | 0.815768621729465 |
32 | 0.24896158665029 | 0.49792317330058 | 0.75103841334971 |
33 | 0.421585099521227 | 0.843170199042454 | 0.578414900478773 |
34 | 0.656248400063436 | 0.687503199873127 | 0.343751599936564 |
35 | 0.624778176067696 | 0.750443647864607 | 0.375221823932304 |
36 | 0.659844947338663 | 0.680310105322675 | 0.340155052661337 |
37 | 0.63646842994109 | 0.72706314011782 | 0.36353157005891 |
38 | 0.608572766925043 | 0.782854466149913 | 0.391427233074957 |
39 | 0.567298926059779 | 0.865402147880442 | 0.432701073940221 |
40 | 0.61740633110276 | 0.76518733779448 | 0.38259366889724 |
41 | 0.596251617027615 | 0.80749676594477 | 0.403748382972385 |
42 | 0.543902116438828 | 0.912195767122343 | 0.456097883561171 |
43 | 0.671149778927836 | 0.657700442144327 | 0.328850221072163 |
44 | 0.637121301607272 | 0.725757396785455 | 0.362878698392728 |
45 | 0.634390603829407 | 0.731218792341187 | 0.365609396170593 |
46 | 0.591846184677295 | 0.81630763064541 | 0.408153815322705 |
47 | 0.599888518109021 | 0.800222963781957 | 0.400111481890979 |
48 | 0.68650294343089 | 0.626994113138221 | 0.31349705656911 |
49 | 0.651190641797328 | 0.697618716405345 | 0.348809358202672 |
50 | 0.631840278997895 | 0.73631944200421 | 0.368159721002105 |
51 | 0.593799492218066 | 0.812401015563869 | 0.406200507781934 |
52 | 0.562381185986478 | 0.875237628027044 | 0.437618814013522 |
53 | 0.611420651440754 | 0.777158697118491 | 0.388579348559246 |
54 | 0.581362625892005 | 0.83727474821599 | 0.418637374107995 |
55 | 0.618696203745991 | 0.762607592508018 | 0.381303796254009 |
56 | 0.59088608603834 | 0.81822782792332 | 0.40911391396166 |
57 | 0.548659599131576 | 0.902680801736848 | 0.451340400868424 |
58 | 0.514631885919936 | 0.970736228160129 | 0.485368114080064 |
59 | 0.46816115679689 | 0.936322313593781 | 0.53183884320311 |
60 | 0.42834482752236 | 0.85668965504472 | 0.57165517247764 |
61 | 0.39058339837666 | 0.78116679675332 | 0.60941660162334 |
62 | 0.351421690672436 | 0.702843381344871 | 0.648578309327564 |
63 | 0.311109532984217 | 0.622219065968434 | 0.688890467015783 |
64 | 0.330896982995788 | 0.661793965991576 | 0.669103017004212 |
65 | 0.290563368920194 | 0.581126737840388 | 0.709436631079806 |
66 | 0.302317462086312 | 0.604634924172624 | 0.697682537913688 |
67 | 0.378830692110057 | 0.757661384220115 | 0.621169307889943 |
68 | 0.448974335490028 | 0.897948670980055 | 0.551025664509972 |
69 | 0.410723766234705 | 0.821447532469409 | 0.589276233765295 |
70 | 0.394075005360848 | 0.788150010721697 | 0.605924994639152 |
71 | 0.472103121922503 | 0.944206243845006 | 0.527896878077497 |
72 | 0.428682798044117 | 0.857365596088233 | 0.571317201955883 |
73 | 0.390575127823843 | 0.781150255647687 | 0.609424872176156 |
74 | 0.356060327457452 | 0.712120654914903 | 0.643939672542548 |
75 | 0.326688080209757 | 0.653376160419514 | 0.673311919790243 |
76 | 0.300887002924742 | 0.601774005849485 | 0.699112997075258 |
77 | 0.282083223767013 | 0.564166447534025 | 0.717916776232987 |
78 | 0.246028322757989 | 0.492056645515979 | 0.75397167724201 |
79 | 0.213614018360787 | 0.427228036721573 | 0.786385981639213 |
80 | 0.189761758658899 | 0.379523517317798 | 0.8102382413411 |
81 | 0.171388313715942 | 0.342776627431884 | 0.828611686284058 |
82 | 0.261140258810001 | 0.522280517620002 | 0.738859741189999 |
83 | 0.236924875516304 | 0.473849751032607 | 0.763075124483697 |
84 | 0.21048031992858 | 0.420960639857159 | 0.78951968007142 |
85 | 0.205891867858765 | 0.41178373571753 | 0.794108132141235 |
86 | 0.194577788870005 | 0.389155577740011 | 0.805422211129995 |
87 | 0.2140754241891 | 0.4281508483782 | 0.7859245758109 |
88 | 0.209412061572558 | 0.418824123145117 | 0.790587938427442 |
89 | 0.206456280470039 | 0.412912560940078 | 0.793543719529961 |
90 | 0.201158917133057 | 0.402317834266115 | 0.798841082866943 |
91 | 0.258808836419246 | 0.517617672838493 | 0.741191163580754 |
92 | 0.222289288200023 | 0.444578576400045 | 0.777710711799977 |
93 | 0.198549168998541 | 0.397098337997081 | 0.80145083100146 |
94 | 0.170437969774509 | 0.340875939549018 | 0.829562030225491 |
95 | 0.150010645739371 | 0.300021291478742 | 0.849989354260629 |
96 | 0.167466138460374 | 0.334932276920748 | 0.832533861539626 |
97 | 0.157172789244173 | 0.314345578488346 | 0.842827210755827 |
98 | 0.142918617372632 | 0.285837234745263 | 0.857081382627368 |
99 | 0.129095463012943 | 0.258190926025885 | 0.870904536987057 |
100 | 0.118050748957175 | 0.23610149791435 | 0.881949251042825 |
101 | 0.0975065841982822 | 0.195013168396564 | 0.902493415801718 |
102 | 0.0790251936373986 | 0.158050387274797 | 0.920974806362601 |
103 | 0.0628376200929481 | 0.125675240185896 | 0.937162379907052 |
104 | 0.0498485528788141 | 0.0996971057576282 | 0.950151447121186 |
105 | 0.0509450177733728 | 0.101890035546746 | 0.949054982226627 |
106 | 0.0410953733360213 | 0.0821907466720426 | 0.958904626663979 |
107 | 0.0362771522452653 | 0.0725543044905306 | 0.963722847754735 |
108 | 0.0334370908858646 | 0.0668741817717291 | 0.966562909114135 |
109 | 0.026627407469838 | 0.053254814939676 | 0.973372592530162 |
110 | 0.0275661706112709 | 0.0551323412225419 | 0.97243382938873 |
111 | 0.0385756582476324 | 0.0771513164952648 | 0.961424341752368 |
112 | 0.255214276787618 | 0.510428553575237 | 0.744785723212381 |
113 | 0.269089231818209 | 0.538178463636418 | 0.730910768181791 |
114 | 0.637719985007592 | 0.724560029984816 | 0.362280014992408 |
115 | 0.883328157361206 | 0.233343685277589 | 0.116671842638794 |
116 | 0.854962120379124 | 0.290075759241752 | 0.145037879620876 |
117 | 0.88300426131917 | 0.233991477361661 | 0.11699573868083 |
118 | 0.85781754039076 | 0.284364919218479 | 0.142182459609239 |
119 | 0.838630389866767 | 0.322739220266467 | 0.161369610133233 |
120 | 0.889820255457616 | 0.220359489084768 | 0.110179744542384 |
121 | 0.866236375418491 | 0.267527249163018 | 0.133763624581509 |
122 | 0.835590738785668 | 0.328818522428664 | 0.164409261214332 |
123 | 0.844403208440751 | 0.311193583118498 | 0.155596791559249 |
124 | 0.805484138582272 | 0.389031722835456 | 0.194515861417728 |
125 | 0.77477823580955 | 0.450443528380901 | 0.22522176419045 |
126 | 0.739062941008436 | 0.521874117983128 | 0.260937058991564 |
127 | 0.694220162670128 | 0.611559674659743 | 0.305779837329872 |
128 | 0.645187494032652 | 0.709625011934696 | 0.354812505967348 |
129 | 0.592326627560472 | 0.815346744879056 | 0.407673372439528 |
130 | 0.543238316969202 | 0.913523366061597 | 0.456761683030798 |
131 | 0.516764350992003 | 0.966471298015993 | 0.483235649007997 |
132 | 0.541789972750494 | 0.916420054499013 | 0.458210027249506 |
133 | 0.477796333387528 | 0.955592666775055 | 0.522203666612472 |
134 | 0.449201231028117 | 0.898402462056234 | 0.550798768971883 |
135 | 0.746691243837481 | 0.506617512325038 | 0.253308756162519 |
136 | 0.68500600883738 | 0.629987982325241 | 0.314993991162621 |
137 | 0.674481865412016 | 0.651036269175967 | 0.325518134587984 |
138 | 0.624387479122083 | 0.751225041755834 | 0.375612520877917 |
139 | 0.650627730836694 | 0.698744538326613 | 0.349372269163306 |
140 | 0.579724419212119 | 0.840551161575761 | 0.420275580787881 |
141 | 0.521673858335849 | 0.956652283328301 | 0.478326141664151 |
142 | 0.482807706385195 | 0.96561541277039 | 0.517192293614805 |
143 | 0.508398277240507 | 0.983203445518987 | 0.491601722759493 |
144 | 0.452072853242827 | 0.904145706485654 | 0.547927146757173 |
145 | 0.347550551506844 | 0.695101103013689 | 0.652449448493156 |
146 | 0.313190490057939 | 0.626380980115877 | 0.686809509942061 |
147 | 0.272332555492667 | 0.544665110985334 | 0.727667444507333 |
148 | 0.174878158751466 | 0.349756317502932 | 0.825121841248534 |
149 | 0.347435872663229 | 0.694871745326459 | 0.65256412733677 |
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 | 7 | 0.05 | OK |