Multiple Linear Regression - Estimated Regression Equation |
PersonalStandards[t] = + 7.96604226904438 + 0.329539554855599ConcernoverMistakes[t] -0.359820551945857Doubtsaboutactions[t] + 0.188740986166915ParentalExpectations[t] + 0.0212197379128775ParentalCriticism[t] + 0.389772656468926Organization[t] -0.00400911738275325t + 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 |
ConcernoverMistakes | 0.329539554855599 | 0.055687 | 5.9177 | 0 | 0 |
Doubtsaboutactions | -0.359820551945857 | 0.107409 | -3.35 | 0.001019 | 0.00051 |
ParentalExpectations | 0.188740986166915 | 0.101382 | 1.8617 | 0.064579 | 0.032289 |
ParentalCriticism | 0.0212197379128775 | 0.128902 | 0.1646 | 0.869462 | 0.434731 |
Organization | 0.389772656468926 | 0.074001 | 5.2671 | 0 | 0 |
t | -0.00400911738275325 | 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 | 2.75557354711964e-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 | 23.2983715119366 | 0.70162848806344 |
2 | 25 | 22.6942027395211 | 2.30579726047887 |
3 | 30 | 24.5199351176299 | 5.4800648823701 |
4 | 19 | 20.5858100273213 | -1.58581002732133 |
5 | 22 | 20.860694202093 | 1.13930579790698 |
6 | 22 | 23.3332519599709 | -1.33325195997087 |
7 | 25 | 22.8359102362292 | 2.16408976377076 |
8 | 23 | 19.7433698869927 | 3.25663011300733 |
9 | 17 | 19.0929718105762 | -2.09297181057616 |
10 | 21 | 21.9165848536408 | -0.91658485364079 |
11 | 19 | 23.0752389807623 | -4.07523898076229 |
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 | 0.73506739591091 |
18 | 14 | 16.8815876921881 | -2.88158769218814 |
19 | 22 | 24.3137744057991 | -2.31377440579911 |
20 | 23 | 24.3015654059286 | -1.30156540592860 |
21 | 23 | 21.8344647808193 | 1.16553521918072 |
22 | 21 | 24.7512657180051 | -3.75126571800509 |
23 | 19 | 22.6592344387476 | -3.65923443874758 |
24 | 18 | 24.0700007888973 | -6.07000078889733 |
25 | 20 | 23.3285829375965 | -3.32858293759652 |
26 | 23 | 22.6325098681894 | 0.367490131810628 |
27 | 25 | 23.5231792045445 | 1.47682079545548 |
28 | 19 | 23.5348868834222 | -4.53488688342217 |
29 | 24 | 24.0368676229268 | -0.0368676229268342 |
30 | 22 | 21.7552785590267 | 0.244721440973291 |
31 | 25 | 25.2818977678332 | -0.281897767833189 |
32 | 26 | 23.4105078659173 | 2.58949213408273 |
33 | 29 | 22.9630880072642 | 6.03691199273582 |
34 | 32 | 25.3474031449702 | 6.65259685502984 |
35 | 25 | 21.7743108175814 | 3.22568918241862 |
36 | 29 | 24.5699273386823 | 4.43007266131771 |
37 | 28 | 25.1354699100087 | 2.86453008999129 |
38 | 17 | 17.2865701563726 | -0.286570156372563 |
39 | 28 | 26.2640788714213 | 1.73592112857875 |
40 | 29 | 23.1045209199524 | 5.89547908004764 |
41 | 26 | 27.6235426441229 | -1.62354264412289 |
42 | 25 | 23.6072671246172 | 1.39273287538279 |
43 | 14 | 19.7541645453067 | -5.75416454530668 |
44 | 25 | 22.2441541362560 | 2.75584586374397 |
45 | 26 | 21.8001564282314 | 4.19984357176864 |
46 | 20 | 20.3970947317837 | -0.397094731783665 |
47 | 18 | 21.5400320626448 | -3.54003206264476 |
48 | 32 | 24.7914532758987 | 7.2085467241013 |
49 | 25 | 25.1274579247346 | -0.127457924734565 |
50 | 25 | 21.8498691504186 | 3.15013084958137 |
51 | 23 | 20.9556045153761 | 2.04439548462387 |
52 | 21 | 22.2400886775895 | -1.24008867758950 |
53 | 20 | 24.0944287438478 | -4.0944287438478 |
54 | 15 | 16.6692490942680 | -1.66924909426796 |
55 | 30 | 26.8437154890249 | 3.1562845109751 |
56 | 24 | 25.3699497214645 | -1.36994972146448 |
57 | 26 | 24.3476987275591 | 1.65230127244095 |
58 | 24 | 21.8018121539535 | 2.19818784604654 |
59 | 22 | 21.4849353740580 | 0.515064625942025 |
60 | 14 | 15.8014939418454 | -1.80149394184544 |
61 | 24 | 22.2854594606709 | 1.71454053932907 |
62 | 24 | 22.9750971267241 | 1.02490287327593 |
63 | 24 | 23.3614191456939 | 0.638580854306098 |
64 | 24 | 20.0189528544582 | 3.98104714554175 |
65 | 19 | 18.5496603044486 | 0.450339695551412 |
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 | -0.512230531907487 |
73 | 27 | 27.4773598801703 | -0.477359880170346 |
74 | 23 | 24.4242323611766 | -1.42423236117657 |
75 | 25 | 25.6977515557749 | -0.697751555774884 |
76 | 20 | 22.2624291133288 | -2.26242911332878 |
77 | 21 | 19.2291343758235 | 1.77086562417652 |
78 | 22 | 22.4437103446138 | -0.443710344613850 |
79 | 23 | 22.953301717284 | 0.0466982827160052 |
80 | 25 | 24.07034403294 | 0.92965596706001 |
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 | 2.30932064864181 |
89 | 27 | 24.4104222863531 | 2.58957771364688 |
90 | 17 | 20.8669235126350 | -3.86692351263496 |
91 | 17 | 23.2984287511115 | -6.29842875111146 |
92 | 19 | 20.0852863307246 | -1.08528633072460 |
93 | 17 | 19.6773398225854 | -2.6773398225854 |
94 | 22 | 21.9947362717897 | 0.00526372821031451 |
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 | 21.1906620081360 | -3.19066200813604 |
100 | 18 | 21.2458664145162 | -3.24586641451617 |
101 | 23 | 22.7708636130865 | 0.22913638691355 |
102 | 19 | 20.5588978025442 | -1.55889780254422 |
103 | 20 | 20.9401479280230 | -0.940147928023032 |
104 | 21 | 22.2205522470208 | -1.22055224702084 |
105 | 20 | 23.6787622428558 | -3.67876224285576 |
106 | 17 | 18.7709163550548 | -1.77091635505484 |
107 | 18 | 20.2409161325215 | -2.24091613252153 |
108 | 19 | 20.7160419870612 | -1.71604198706124 |
109 | 22 | 21.9798073138651 | 0.0201926861349317 |
110 | 15 | 18.6671601095724 | -3.66716010957239 |
111 | 14 | 18.7455905094174 | -4.74559050941741 |
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 | -0.809328379756237 |
117 | 25 | 20.434475624549 | 4.56552437545098 |
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 | 0.217749852181626 |
123 | 25 | 19.9667747068350 | 5.03322529316504 |
124 | 20 | 20.537521377052 | -0.537521377052012 |
125 | 19 | 17.9325255659881 | 1.06747443401193 |
126 | 21 | 22.4367842714509 | -1.43678427145089 |
127 | 22 | 20.8482458372767 | 1.15175416272327 |
128 | 24 | 22.4656380890907 | 1.53436191090932 |
129 | 21 | 22.7498131103562 | -1.74981311035621 |
130 | 26 | 25.2723997551415 | 0.727600244858547 |
131 | 24 | 20.4356497809747 | 3.56435021902534 |
132 | 16 | 20.0909622078513 | -4.09096220785126 |
133 | 23 | 22.1129557277632 | 0.887044272236804 |
134 | 18 | 20.5712079278172 | -2.57120792781721 |
135 | 16 | 22.146357390973 | -6.146357390973 |
136 | 26 | 23.8731791007228 | 2.12682089927719 |
137 | 19 | 18.8585013905706 | 0.141498609429418 |
138 | 21 | 16.7383044297567 | 4.26169557024325 |
139 | 21 | 21.9427962002931 | -0.942796200293108 |
140 | 22 | 18.3643071408902 | 3.63569285910977 |
141 | 23 | 19.5959193437852 | 3.40408065621478 |
142 | 29 | 24.5833982369600 | 4.41660176304003 |
143 | 21 | 19.1161050635558 | 1.8838949364442 |
144 | 21 | 19.6935810866946 | 1.30641891330535 |
145 | 23 | 21.6443960494122 | 1.35560395058783 |
146 | 27 | 22.7382424214086 | 4.26175757859139 |
147 | 25 | 25.1592981257535 | -0.159298125753546 |
148 | 21 | 20.7452411686009 | 0.254758831399111 |
149 | 10 | 16.9258456985059 | -6.92584569850592 |
150 | 20 | 22.3860047677318 | -2.38600476773182 |
151 | 26 | 22.2748397091080 | 3.72516029089204 |
152 | 24 | 23.3707925689168 | 0.629207431083179 |
153 | 29 | 31.3326302350857 | -2.33263023508567 |
154 | 19 | 18.807087542852 | 0.19291245714798 |
155 | 24 | 21.8235235460094 | 2.17647645399060 |
156 | 19 | 20.4705844558619 | -1.47058445586194 |
157 | 24 | 23.1266831550602 | 0.873316844939805 |
158 | 22 | 21.5231153680453 | 0.476884631954731 |
159 | 17 | 23.5082376477324 | -6.5082376477324 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.305144732294912 | 0.610289464589824 | 0.694855267705088 |
11 | 0.347301195412733 | 0.694602390825465 | 0.652698804587267 |
12 | 0.250709545422878 | 0.501419090845756 | 0.749290454577122 |
13 | 0.344294876675323 | 0.688589753350646 | 0.655705123324677 |
14 | 0.263939216007886 | 0.527878432015773 | 0.736060783992114 |
15 | 0.532873731577465 | 0.93425253684507 | 0.467126268422535 |
16 | 0.469870562789765 | 0.93974112557953 | 0.530129437210235 |
17 | 0.492979769545617 | 0.985959539091234 | 0.507020230454383 |
18 | 0.466473240331405 | 0.93294648066281 | 0.533526759668595 |
19 | 0.383194930395246 | 0.766389860790491 | 0.616805069604754 |
20 | 0.488711530954049 | 0.977423061908098 | 0.511288469045951 |
21 | 0.540672970282667 | 0.918654059434666 | 0.459327029717333 |
22 | 0.476706749290985 | 0.95341349858197 | 0.523293250709015 |
23 | 0.416106462561341 | 0.832212925122682 | 0.583893537438659 |
24 | 0.417751726552838 | 0.835503453105676 | 0.582248273447162 |
25 | 0.362624988252893 | 0.725249976505786 | 0.637375011747107 |
26 | 0.322292174946879 | 0.644584349893757 | 0.677707825053121 |
27 | 0.305948533733473 | 0.611897067466945 | 0.694051466266527 |
28 | 0.283433666374725 | 0.56686733274945 | 0.716566333625275 |
29 | 0.256816034638236 | 0.513632069276471 | 0.743183965361764 |
30 | 0.212606265538741 | 0.425212531077481 | 0.78739373446126 |
31 | 0.184231378270535 | 0.368462756541071 | 0.815768621729465 |
32 | 0.24896158665029 | 0.49792317330058 | 0.75103841334971 |
33 | 0.421585099521228 | 0.843170199042457 | 0.578414900478772 |
34 | 0.656248400063437 | 0.687503199873127 | 0.343751599936563 |
35 | 0.624778176067693 | 0.750443647864614 | 0.375221823932307 |
36 | 0.659844947338662 | 0.680310105322676 | 0.340155052661338 |
37 | 0.636468429941092 | 0.727063140117816 | 0.363531570058908 |
38 | 0.608572766925045 | 0.78285446614991 | 0.391427233074955 |
39 | 0.567298926059778 | 0.865402147880443 | 0.432701073940222 |
40 | 0.61740633110276 | 0.76518733779448 | 0.38259366889724 |
41 | 0.596251617027615 | 0.80749676594477 | 0.403748382972385 |
42 | 0.543902116438828 | 0.912195767122343 | 0.456097883561172 |
43 | 0.671149778927836 | 0.657700442144328 | 0.328850221072164 |
44 | 0.637121301607273 | 0.725757396785453 | 0.362878698392727 |
45 | 0.634390603829408 | 0.731218792341184 | 0.365609396170592 |
46 | 0.591846184677295 | 0.81630763064541 | 0.408153815322705 |
47 | 0.59988851810902 | 0.80022296378196 | 0.40011148189098 |
48 | 0.68650294343089 | 0.62699411313822 | 0.31349705656911 |
49 | 0.651190641797329 | 0.697618716405341 | 0.348809358202671 |
50 | 0.631840278997894 | 0.736319442004211 | 0.368159721002106 |
51 | 0.593799492218066 | 0.812401015563869 | 0.406200507781934 |
52 | 0.562381185986479 | 0.875237628027042 | 0.437618814013521 |
53 | 0.611420651440753 | 0.777158697118494 | 0.388579348559247 |
54 | 0.581362625892006 | 0.837274748215987 | 0.418637374107994 |
55 | 0.618696203745988 | 0.762607592508024 | 0.381303796254012 |
56 | 0.59088608603834 | 0.81822782792332 | 0.40911391396166 |
57 | 0.548659599131576 | 0.902680801736847 | 0.451340400868424 |
58 | 0.514631885919935 | 0.97073622816013 | 0.485368114080065 |
59 | 0.468161156796891 | 0.936322313593781 | 0.531838843203109 |
60 | 0.428344827522361 | 0.856689655044721 | 0.57165517247764 |
61 | 0.390583398376658 | 0.781166796753317 | 0.609416601623342 |
62 | 0.351421690672435 | 0.702843381344869 | 0.648578309327565 |
63 | 0.311109532984218 | 0.622219065968437 | 0.688890467015782 |
64 | 0.330896982995788 | 0.661793965991575 | 0.669103017004212 |
65 | 0.290563368920192 | 0.581126737840385 | 0.709436631079808 |
66 | 0.302317462086313 | 0.604634924172626 | 0.697682537913687 |
67 | 0.378830692110058 | 0.757661384220115 | 0.621169307889943 |
68 | 0.448974335490026 | 0.897948670980053 | 0.551025664509974 |
69 | 0.410723766234703 | 0.821447532469406 | 0.589276233765297 |
70 | 0.394075005360847 | 0.788150010721694 | 0.605924994639153 |
71 | 0.472103121922502 | 0.944206243845005 | 0.527896878077498 |
72 | 0.428682798044118 | 0.857365596088235 | 0.571317201955882 |
73 | 0.390575127823842 | 0.781150255647685 | 0.609424872176157 |
74 | 0.356060327457454 | 0.712120654914907 | 0.643939672542546 |
75 | 0.326688080209756 | 0.653376160419513 | 0.673311919790244 |
76 | 0.300887002924743 | 0.601774005849486 | 0.699112997075257 |
77 | 0.282083223767013 | 0.564166447534025 | 0.717916776232987 |
78 | 0.246028322757991 | 0.492056645515981 | 0.753971677242009 |
79 | 0.213614018360786 | 0.427228036721572 | 0.786385981639214 |
80 | 0.189761758658899 | 0.379523517317798 | 0.8102382413411 |
81 | 0.171388313715941 | 0.342776627431882 | 0.828611686284059 |
82 | 0.261140258810000 | 0.522280517620001 | 0.73885974119 |
83 | 0.236924875516303 | 0.473849751032607 | 0.763075124483697 |
84 | 0.210480319928581 | 0.420960639857163 | 0.789519680071419 |
85 | 0.205891867858765 | 0.41178373571753 | 0.794108132141235 |
86 | 0.194577788870004 | 0.389155577740009 | 0.805422211129996 |
87 | 0.214075424189101 | 0.428150848378203 | 0.785924575810899 |
88 | 0.20941206157256 | 0.41882412314512 | 0.79058793842744 |
89 | 0.206456280470041 | 0.412912560940081 | 0.79354371952996 |
90 | 0.201158917133057 | 0.402317834266115 | 0.798841082866943 |
91 | 0.258808836419247 | 0.517617672838495 | 0.741191163580753 |
92 | 0.222289288200024 | 0.444578576400047 | 0.777710711799976 |
93 | 0.198549168998540 | 0.397098337997079 | 0.80145083100146 |
94 | 0.170437969774509 | 0.340875939549018 | 0.829562030225491 |
95 | 0.150010645739372 | 0.300021291478743 | 0.849989354260628 |
96 | 0.167466138460375 | 0.334932276920749 | 0.832533861539625 |
97 | 0.157172789244172 | 0.314345578488344 | 0.842827210755828 |
98 | 0.142918617372631 | 0.285837234745262 | 0.857081382627369 |
99 | 0.129095463012943 | 0.258190926025886 | 0.870904536987057 |
100 | 0.118050748957174 | 0.236101497914349 | 0.881949251042826 |
101 | 0.0975065841982819 | 0.195013168396564 | 0.902493415801718 |
102 | 0.0790251936373992 | 0.158050387274798 | 0.9209748063626 |
103 | 0.0628376200929484 | 0.125675240185897 | 0.937162379907052 |
104 | 0.0498485528788142 | 0.0996971057576284 | 0.950151447121186 |
105 | 0.0509450177733726 | 0.101890035546745 | 0.949054982226627 |
106 | 0.0410953733360213 | 0.0821907466720426 | 0.958904626663979 |
107 | 0.0362771522452653 | 0.0725543044905306 | 0.963722847754735 |
108 | 0.0334370908858646 | 0.0668741817717291 | 0.966562909114135 |
109 | 0.0266274074698381 | 0.0532548149396763 | 0.973372592530162 |
110 | 0.0275661706112704 | 0.0551323412225408 | 0.97243382938873 |
111 | 0.0385756582476330 | 0.0771513164952659 | 0.961424341752367 |
112 | 0.255214276787618 | 0.510428553575235 | 0.744785723212382 |
113 | 0.269089231818209 | 0.538178463636418 | 0.730910768181791 |
114 | 0.637719985007595 | 0.724560029984811 | 0.362280014992406 |
115 | 0.883328157361206 | 0.233343685277588 | 0.116671842638794 |
116 | 0.854962120379124 | 0.290075759241753 | 0.145037879620876 |
117 | 0.88300426131917 | 0.233991477361660 | 0.116995738680830 |
118 | 0.857817540390761 | 0.284364919218477 | 0.142182459609239 |
119 | 0.838630389866766 | 0.322739220266468 | 0.161369610133234 |
120 | 0.889820255457616 | 0.220359489084768 | 0.110179744542384 |
121 | 0.866236375418491 | 0.267527249163018 | 0.133763624581509 |
122 | 0.835590738785668 | 0.328818522428665 | 0.164409261214332 |
123 | 0.84440320844075 | 0.311193583118499 | 0.155596791559249 |
124 | 0.805484138582272 | 0.389031722835456 | 0.194515861417728 |
125 | 0.77477823580955 | 0.450443528380901 | 0.225221764190450 |
126 | 0.739062941008436 | 0.521874117983127 | 0.260937058991564 |
127 | 0.694220162670129 | 0.611559674659743 | 0.305779837329872 |
128 | 0.645187494032652 | 0.709625011934696 | 0.354812505967348 |
129 | 0.592326627560472 | 0.815346744879056 | 0.407673372439528 |
130 | 0.543238316969201 | 0.913523366061598 | 0.456761683030799 |
131 | 0.516764350992005 | 0.96647129801599 | 0.483235649007995 |
132 | 0.541789972750493 | 0.916420054499013 | 0.458210027249507 |
133 | 0.477796333387527 | 0.955592666775055 | 0.522203666612473 |
134 | 0.449201231028115 | 0.89840246205623 | 0.550798768971885 |
135 | 0.746691243837481 | 0.506617512325038 | 0.253308756162519 |
136 | 0.68500600883738 | 0.629987982325241 | 0.314993991162620 |
137 | 0.674481865412014 | 0.651036269175973 | 0.325518134587986 |
138 | 0.624387479122084 | 0.751225041755833 | 0.375612520877916 |
139 | 0.650627730836693 | 0.698744538326614 | 0.349372269163307 |
140 | 0.579724419212119 | 0.840551161575762 | 0.420275580787881 |
141 | 0.521673858335851 | 0.956652283328298 | 0.478326141664149 |
142 | 0.482807706385197 | 0.965615412770394 | 0.517192293614803 |
143 | 0.508398277240507 | 0.983203445518987 | 0.491601722759493 |
144 | 0.452072853242826 | 0.904145706485652 | 0.547927146757174 |
145 | 0.347550551506844 | 0.695101103013688 | 0.652449448493156 |
146 | 0.313190490057939 | 0.626380980115878 | 0.686809509942061 |
147 | 0.272332555492666 | 0.544665110985332 | 0.727667444507334 |
148 | 0.174878158751466 | 0.349756317502931 | 0.825121841248534 |
149 | 0.347435872663227 | 0.694871745326454 | 0.652564127336773 |
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 |