Multiple Linear Regression - Estimated Regression Equation |
Concernovermistakes[t] = -1.52488923013411 -0.599776425471935Gender[t] + 0.812146509740823Doubtsaboutactions[t] + 0.258421861231518Parentalexpectations[t] + 0.179796229544161Parentalcritism[t] + 0.563133007199381Personalstandars[t] -0.115118381547464organization[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) | -1.52488923013411 | 3.115376 | -0.4895 | 0.625213 | 0.312607 |
Gender | -0.599776425471935 | 0.803715 | -0.7463 | 0.456666 | 0.228333 |
Doubtsaboutactions | 0.812146509740823 | 0.130552 | 6.2209 | 0 | 0 |
Parentalexpectations | 0.258421861231518 | 0.133299 | 1.9387 | 0.054395 | 0.027198 |
Parentalcritism | 0.179796229544161 | 0.168908 | 1.0645 | 0.288806 | 0.144403 |
Personalstandars | 0.563133007199381 | 0.096033 | 5.864 | 0 | 0 |
organization | -0.115118381547464 | 0.103177 | -1.1157 | 0.266294 | 0.133147 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.639796340883729 |
R-squared | 0.409339357808208 |
Adjusted R-squared | 0.386023806142743 |
F-TEST (value) | 17.5564946384912 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 2.22044604925031e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 4.48420824730765 |
Sum Squared Residuals | 3056.43478799373 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 25.3674713868655 | -1.36747138686548 |
2 | 25 | 22.0866476463817 | 2.91335235361827 |
3 | 17 | 23.1955619828947 | -6.19556198289475 |
4 | 18 | 19.6954852711489 | -1.69548527114887 |
5 | 18 | 19.2934117319808 | -1.29341173198077 |
6 | 16 | 19.4069284768994 | -3.40692847689944 |
7 | 20 | 20.7589904748235 | -0.758990474823462 |
8 | 16 | 22.1639181031645 | -6.1639181031645 |
9 | 18 | 22.2699711701797 | -4.26997117017974 |
10 | 17 | 20.3748373668623 | -3.37483736686228 |
11 | 23 | 22.7451621879169 | 0.254837812083117 |
12 | 30 | 22.7809772308356 | 7.21902276916444 |
13 | 23 | 14.9274999052554 | 8.07250009474464 |
14 | 18 | 18.9270333019304 | -0.927033301930446 |
15 | 15 | 21.5094110329846 | -6.50941103298455 |
16 | 12 | 17.7007097310610 | -5.70070973106096 |
17 | 21 | 19.8149507019515 | 1.18504929804848 |
18 | 15 | 15.1559582544423 | -0.155958254442304 |
19 | 20 | 19.6503366713127 | 0.349663328687277 |
20 | 31 | 26.8657836067955 | 4.13421639320452 |
21 | 27 | 25.6526881085114 | 1.34731189148859 |
22 | 34 | 27.0224560476379 | 6.97754395236206 |
23 | 21 | 19.4219510976682 | 1.57804890233179 |
24 | 31 | 20.7566452834311 | 10.2433547165689 |
25 | 19 | 19.1293017221016 | -0.129301722101627 |
26 | 16 | 20.6559948406093 | -4.65599484060933 |
27 | 20 | 21.4552422506445 | -1.45524225064449 |
28 | 21 | 18.0989891736177 | 2.90101082638235 |
29 | 22 | 21.8050381748566 | 0.194961825143426 |
30 | 17 | 19.3641178881308 | -2.36411788813078 |
31 | 24 | 20.1412656852589 | 3.85873431474111 |
32 | 25 | 30.8764051306377 | -5.87640513063773 |
33 | 26 | 27.2180233678308 | -1.21802336783078 |
34 | 25 | 23.8744390556015 | 1.12556094439852 |
35 | 17 | 22.8568298063824 | -5.8568298063824 |
36 | 32 | 27.6120319171437 | 4.38796808285626 |
37 | 33 | 23.4486398874301 | 9.5513601125699 |
38 | 13 | 21.9103787110914 | -8.91037871109142 |
39 | 32 | 27.6653605255195 | 4.33463947448045 |
40 | 25 | 25.6638628360616 | -0.663862836061554 |
41 | 29 | 26.8828480191344 | 2.1171519808656 |
42 | 22 | 21.8513274595929 | 0.148672540407081 |
43 | 18 | 17.2383468111127 | 0.7616531888873 |
44 | 17 | 21.6489862638793 | -4.64898626387931 |
45 | 20 | 22.6128997275348 | -2.61289972753483 |
46 | 15 | 20.2868033764848 | -5.28680337648484 |
47 | 20 | 22.0348068058981 | -2.03480680589807 |
48 | 33 | 27.9073746823552 | 5.09262531764484 |
49 | 29 | 22.5666104427985 | 6.43338955720152 |
50 | 23 | 26.5579698959982 | -3.55796989599820 |
51 | 26 | 23.6699671584999 | 2.33003284150007 |
52 | 18 | 18.7870370972407 | -0.787037097240736 |
53 | 20 | 19.1753534990643 | 0.824646500935741 |
54 | 11 | 11.6230304916359 | -0.623030491635949 |
55 | 28 | 28.7621782677923 | -0.762178267792335 |
56 | 26 | 23.1494302500648 | 2.85056974993515 |
57 | 22 | 22.669269923808 | -0.669269923808007 |
58 | 17 | 20.0517776355677 | -3.0517776355677 |
59 | 12 | 15.8538857599063 | -3.85388575990632 |
60 | 14 | 20.8973540189012 | -6.89735401890124 |
61 | 17 | 20.5411139668356 | -3.54111396683557 |
62 | 21 | 21.1874120307229 | -0.187412030722898 |
63 | 19 | 22.7894496147904 | -3.78944961479037 |
64 | 18 | 22.8711309424203 | -4.87113094242026 |
65 | 10 | 18.3900018497382 | -8.3900018497382 |
66 | 29 | 24.6370720525763 | 4.36292794742370 |
67 | 31 | 18.2796017334678 | 12.7203982665322 |
68 | 19 | 23.3693885717829 | -4.36938857178287 |
69 | 9 | 19.9178025587064 | -10.9178025587064 |
70 | 20 | 22.2903219027409 | -2.29032190274092 |
71 | 28 | 17.4621981138513 | 10.5378018861487 |
72 | 19 | 18.5468700910214 | 0.453129908978576 |
73 | 30 | 23.4904366160527 | 6.50956338394726 |
74 | 29 | 27.5909968331254 | 1.40900316687457 |
75 | 26 | 21.9399002945690 | 4.06009970543103 |
76 | 23 | 19.9811821698965 | 3.01881783010349 |
77 | 13 | 22.6314806665406 | -9.63148066654058 |
78 | 21 | 22.4832495856698 | -1.48324958566978 |
79 | 19 | 21.2573070106616 | -2.25730701066161 |
80 | 28 | 22.7929283107580 | 5.20707168924197 |
81 | 23 | 25.3729608504198 | -2.37296085041982 |
82 | 18 | 13.6094069148943 | 4.3905930851057 |
83 | 21 | 21.1856456618628 | -0.185645661862829 |
84 | 20 | 21.6207025203118 | -1.62070252031183 |
85 | 23 | 19.8030723533451 | 3.19692764665485 |
86 | 21 | 20.7020883249049 | 0.297911675095087 |
87 | 21 | 21.6170380931145 | -0.617038093114464 |
88 | 15 | 22.6231781689117 | -7.62317816891174 |
89 | 28 | 26.9449762549455 | 1.05502374505455 |
90 | 19 | 17.5122104932823 | 1.48778950671773 |
91 | 26 | 21.1120813396104 | 4.88791866038963 |
92 | 10 | 13.0189051398643 | -3.01890513986429 |
93 | 16 | 17.5590386226172 | -1.55903862261723 |
94 | 22 | 21.0384632649770 | 0.96153673502297 |
95 | 19 | 18.5428525504551 | 0.457147449544854 |
96 | 31 | 28.6083915923401 | 2.39160840765988 |
97 | 31 | 25.6533606613582 | 5.34663933864183 |
98 | 29 | 24.6506943664122 | 4.34930563358783 |
99 | 19 | 17.8629734162128 | 1.13702658378724 |
100 | 22 | 18.7437983543523 | 3.25620164564774 |
101 | 23 | 22.2056628088056 | 0.794337191194412 |
102 | 15 | 16.6220171743863 | -1.62201717438634 |
103 | 20 | 21.9131730556020 | -1.91317305560195 |
104 | 18 | 19.3399853933777 | -1.33998539337772 |
105 | 23 | 21.8102153288650 | 1.18978467113505 |
106 | 25 | 20.8334925012105 | 4.16650749878949 |
107 | 21 | 16.3946802847268 | 4.60531971527317 |
108 | 24 | 19.314850837089 | 4.68514916291101 |
109 | 25 | 25.0709120701137 | -0.07091207011366 |
110 | 17 | 19.4547342883026 | -2.45473428830264 |
111 | 13 | 14.4287552152974 | -1.42875521529741 |
112 | 28 | 18.0383639290045 | 9.96163607099552 |
113 | 21 | 20.4886626656978 | 0.511337334302223 |
114 | 25 | 27.9423547054043 | -2.94235470540426 |
115 | 9 | 21.0762576763391 | -12.0762576763391 |
116 | 16 | 17.6939237600990 | -1.69392376009895 |
117 | 19 | 21.046422718448 | -2.04642271844802 |
118 | 17 | 19.2889309744774 | -2.28893097447745 |
119 | 25 | 24.3659644663829 | 0.634035533617054 |
120 | 20 | 15.4196958930467 | 4.58030410695327 |
121 | 29 | 21.44593769148 | 7.55406230852002 |
122 | 14 | 18.8999489107604 | -4.89994891076042 |
123 | 22 | 26.7321259935752 | -4.73212599357521 |
124 | 15 | 15.3865155722756 | -0.386515572275641 |
125 | 19 | 25.8655570594453 | -6.86555705944527 |
126 | 20 | 21.8185578044274 | -1.81855780442744 |
127 | 15 | 17.9017713795316 | -2.90177137953155 |
128 | 20 | 21.6120705139941 | -1.61207051399408 |
129 | 18 | 20.0655867958938 | -2.06558679589383 |
130 | 33 | 25.2898944391628 | 7.71010556083723 |
131 | 22 | 23.5892499774693 | -1.58924997746931 |
132 | 16 | 16.3167272058862 | -0.316727205886227 |
133 | 17 | 18.8852557986806 | -1.88525579868057 |
134 | 16 | 14.9061594455780 | 1.09384055442196 |
135 | 21 | 17.4984133780041 | 3.50158662199594 |
136 | 26 | 28.1082687097083 | -2.10826870970826 |
137 | 18 | 21.0102381889068 | -3.01023818890681 |
138 | 18 | 22.927996914261 | -4.92799691426099 |
139 | 17 | 18.1546868170441 | -1.15468681704407 |
140 | 22 | 24.5338027250514 | -2.53380272505139 |
141 | 30 | 24.5297501216679 | 5.47024987833214 |
142 | 30 | 27.693411915408 | 2.30658808459201 |
143 | 24 | 29.7180440769175 | -5.71804407691749 |
144 | 21 | 21.8284181608956 | -0.828418160895604 |
145 | 21 | 25.2236239084878 | -4.22362390848779 |
146 | 29 | 27.2328463883029 | 1.76715361169706 |
147 | 31 | 23.0870665694773 | 7.91293343052267 |
148 | 20 | 18.8092925326549 | 1.19070746734509 |
149 | 16 | 14.6384488700858 | 1.36155112991425 |
150 | 22 | 19.3484437135137 | 2.65155628648632 |
151 | 20 | 20.1300202451636 | -0.130020245163564 |
152 | 28 | 27.1951491319507 | 0.804850868049288 |
153 | 38 | 26.4868027881196 | 11.5131972118804 |
154 | 22 | 19.7992193502582 | 2.2007806497418 |
155 | 20 | 25.5275587020833 | -5.52755870208333 |
156 | 17 | 18.5047320550995 | -1.50473205509950 |
157 | 28 | 24.2787468063115 | 3.72125319368852 |
158 | 22 | 23.9638509492812 | -1.96385094928121 |
159 | 31 | 26.5271034532647 | 4.47289654673532 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.0844420500201223 | 0.168884100040245 | 0.915557949979878 |
11 | 0.0464752780920931 | 0.0929505561841861 | 0.953524721907907 |
12 | 0.130278876290244 | 0.260557752580487 | 0.869721123709757 |
13 | 0.0844961437839682 | 0.168992287567936 | 0.915503856216032 |
14 | 0.12977175407839 | 0.25954350815678 | 0.87022824592161 |
15 | 0.0837902520070485 | 0.167580504014097 | 0.916209747992951 |
16 | 0.0616355405147509 | 0.123271081029502 | 0.93836445948525 |
17 | 0.0823406090997284 | 0.164681218199457 | 0.917659390900272 |
18 | 0.103431029533643 | 0.206862059067286 | 0.896568970466357 |
19 | 0.0989515896919389 | 0.197903179383878 | 0.901048410308061 |
20 | 0.135233178248044 | 0.270466356496087 | 0.864766821751956 |
21 | 0.0964672042442725 | 0.192934408488545 | 0.903532795755728 |
22 | 0.273774456657781 | 0.547548913315562 | 0.726225543342219 |
23 | 0.213650645233384 | 0.427301290466768 | 0.786349354766616 |
24 | 0.517651166481889 | 0.964697667036222 | 0.482348833518111 |
25 | 0.444308884692389 | 0.888617769384777 | 0.555691115307611 |
26 | 0.471727515677312 | 0.943455031354623 | 0.528272484322688 |
27 | 0.415577906259593 | 0.831155812519186 | 0.584422093740407 |
28 | 0.372566640640189 | 0.745133281280378 | 0.627433359359811 |
29 | 0.321730152490764 | 0.643460304981527 | 0.678269847509236 |
30 | 0.268755298152277 | 0.537510596304554 | 0.731244701847723 |
31 | 0.348260396122868 | 0.696520792245736 | 0.651739603877132 |
32 | 0.390621718429583 | 0.781243436859165 | 0.609378281570417 |
33 | 0.339860064439077 | 0.679720128878154 | 0.660139935560923 |
34 | 0.394515220214513 | 0.789030440429025 | 0.605484779785487 |
35 | 0.392960755307925 | 0.78592151061585 | 0.607039244692075 |
36 | 0.399333364164459 | 0.798666728328917 | 0.600666635835541 |
37 | 0.592350983294009 | 0.815298033411983 | 0.407649016705991 |
38 | 0.785550313920867 | 0.428899372158266 | 0.214449686079133 |
39 | 0.780877336142335 | 0.438245327715330 | 0.219122663857665 |
40 | 0.74129423560946 | 0.517411528781079 | 0.258705764390540 |
41 | 0.715508356100145 | 0.568983287799709 | 0.284491643899855 |
42 | 0.667162566875002 | 0.665674866249995 | 0.332837433124998 |
43 | 0.619217034978156 | 0.761565930043687 | 0.380782965021844 |
44 | 0.604204389006926 | 0.791591221986147 | 0.395795610993074 |
45 | 0.567088000813684 | 0.865823998372632 | 0.432911999186316 |
46 | 0.588424062937882 | 0.823151874124236 | 0.411575937062118 |
47 | 0.547730827594951 | 0.904538344810097 | 0.452269172405049 |
48 | 0.535401163172006 | 0.929197673655987 | 0.464598836827994 |
49 | 0.601861514362918 | 0.796276971274165 | 0.398138485637082 |
50 | 0.580082643413097 | 0.839834713173807 | 0.419917356586903 |
51 | 0.542717277929412 | 0.914565444141176 | 0.457282722070588 |
52 | 0.492846170622925 | 0.985692341245851 | 0.507153829377075 |
53 | 0.452222662546295 | 0.90444532509259 | 0.547777337453705 |
54 | 0.40451682932989 | 0.80903365865978 | 0.59548317067011 |
55 | 0.359411189714611 | 0.718822379429222 | 0.640588810285389 |
56 | 0.332533802571893 | 0.665067605143787 | 0.667466197428107 |
57 | 0.288601229177287 | 0.577202458354574 | 0.711398770822713 |
58 | 0.263304610154698 | 0.526609220309396 | 0.736695389845302 |
59 | 0.244943182346779 | 0.489886364693557 | 0.755056817653221 |
60 | 0.303065244327151 | 0.606130488654302 | 0.696934755672849 |
61 | 0.289369447181477 | 0.578738894362955 | 0.710630552818523 |
62 | 0.251115929215076 | 0.502231858430151 | 0.748884070784924 |
63 | 0.237127944220829 | 0.474255888441657 | 0.762872055779171 |
64 | 0.266326862706788 | 0.532653725413576 | 0.733673137293212 |
65 | 0.351174242752546 | 0.702348485505092 | 0.648825757247454 |
66 | 0.349383910768309 | 0.698767821536618 | 0.650616089231691 |
67 | 0.68358034050748 | 0.632839318985039 | 0.316419659492520 |
68 | 0.678779630231637 | 0.642440739536726 | 0.321220369768363 |
69 | 0.849018383732479 | 0.301963232535042 | 0.150981616267521 |
70 | 0.829029595089469 | 0.341940809821063 | 0.170970404910531 |
71 | 0.933488282012463 | 0.133023435975075 | 0.0665117179875374 |
72 | 0.917208616935737 | 0.165582766128527 | 0.0827913830642634 |
73 | 0.937387932560046 | 0.125224134879908 | 0.0626120674399539 |
74 | 0.924638154689406 | 0.150723690621188 | 0.0753618453105942 |
75 | 0.924019499881152 | 0.151961000237695 | 0.0759805001188476 |
76 | 0.91589199642776 | 0.168216007144480 | 0.0841080035722399 |
77 | 0.967098379570535 | 0.0658032408589309 | 0.0329016204294654 |
78 | 0.95904837408274 | 0.081903251834522 | 0.040951625917261 |
79 | 0.950657267973882 | 0.0986854640522364 | 0.0493427320261182 |
80 | 0.954160566639851 | 0.0916788667202977 | 0.0458394333601489 |
81 | 0.945461035479997 | 0.109077929040006 | 0.0545389645200029 |
82 | 0.945131042219938 | 0.109737915560123 | 0.0548689577800616 |
83 | 0.930773668713893 | 0.138452662572215 | 0.0692263312861075 |
84 | 0.91662897368482 | 0.166742052630361 | 0.0833710263151805 |
85 | 0.907956640746761 | 0.184086718506479 | 0.0920433592532394 |
86 | 0.891859186466488 | 0.216281627067024 | 0.108140813533512 |
87 | 0.869410974360293 | 0.261178051279414 | 0.130589025639707 |
88 | 0.914884723383783 | 0.170230553232434 | 0.0851152766162169 |
89 | 0.89716090666486 | 0.20567818667028 | 0.10283909333514 |
90 | 0.876485606412921 | 0.247028787174159 | 0.123514393587079 |
91 | 0.878605257035802 | 0.242789485928397 | 0.121394742964198 |
92 | 0.866875768263779 | 0.266248463472442 | 0.133124231736221 |
93 | 0.843596113524808 | 0.312807772950384 | 0.156403886475192 |
94 | 0.81547333487834 | 0.36905333024332 | 0.18452666512166 |
95 | 0.781491494107807 | 0.437017011784386 | 0.218508505892193 |
96 | 0.752079323785578 | 0.495841352428843 | 0.247920676214422 |
97 | 0.770068792292651 | 0.459862415414697 | 0.229931207707349 |
98 | 0.764369298000279 | 0.471261403999443 | 0.235630701999721 |
99 | 0.727740692197549 | 0.544518615604902 | 0.272259307802451 |
100 | 0.702831681335258 | 0.594336637329485 | 0.297168318664742 |
101 | 0.659377625238886 | 0.681244749522228 | 0.340622374761114 |
102 | 0.61957469148144 | 0.76085061703712 | 0.38042530851856 |
103 | 0.580960151237174 | 0.838079697525652 | 0.419039848762826 |
104 | 0.53798948378991 | 0.92402103242018 | 0.46201051621009 |
105 | 0.491796554578656 | 0.983593109157313 | 0.508203445421344 |
106 | 0.473454294885589 | 0.946908589771178 | 0.526545705114411 |
107 | 0.470712762093608 | 0.941425524187215 | 0.529287237906392 |
108 | 0.48282194808774 | 0.96564389617548 | 0.51717805191226 |
109 | 0.432307389908605 | 0.86461477981721 | 0.567692610091395 |
110 | 0.408228619747199 | 0.816457239494398 | 0.591771380252801 |
111 | 0.368641982308944 | 0.737283964617888 | 0.631358017691056 |
112 | 0.5969255547499 | 0.8061488905002 | 0.4030744452501 |
113 | 0.584118031810279 | 0.831763936379441 | 0.415881968189721 |
114 | 0.552622643035536 | 0.894754713928928 | 0.447377356964464 |
115 | 0.79288271461248 | 0.41423457077504 | 0.20711728538752 |
116 | 0.765973641984661 | 0.468052716030677 | 0.234026358015339 |
117 | 0.751625117907193 | 0.496749764185614 | 0.248374882092807 |
118 | 0.720775263703318 | 0.558449472593364 | 0.279224736296682 |
119 | 0.673303551854724 | 0.653392896290552 | 0.326696448145276 |
120 | 0.702407113800499 | 0.595185772399003 | 0.297592886199501 |
121 | 0.754183274449282 | 0.491633451101436 | 0.245816725550718 |
122 | 0.744794612473908 | 0.510410775052184 | 0.255205387526092 |
123 | 0.746704701933119 | 0.506590596133763 | 0.253295298066882 |
124 | 0.695736418514835 | 0.60852716297033 | 0.304263581485165 |
125 | 0.785352761275881 | 0.429294477448238 | 0.214647238724119 |
126 | 0.747396829293261 | 0.505206341413477 | 0.252603170706739 |
127 | 0.786170926338392 | 0.427658147323216 | 0.213829073661608 |
128 | 0.756420398622096 | 0.487159202755808 | 0.243579601377904 |
129 | 0.721057190714839 | 0.557885618570322 | 0.278942809285161 |
130 | 0.781273045377802 | 0.437453909244396 | 0.218726954622198 |
131 | 0.73060127775828 | 0.53879744448344 | 0.26939872224172 |
132 | 0.670855513792557 | 0.658288972414886 | 0.329144486207443 |
133 | 0.653577624333845 | 0.69284475133231 | 0.346422375666155 |
134 | 0.585458935116986 | 0.829082129766028 | 0.414541064883014 |
135 | 0.528290390709152 | 0.943419218581696 | 0.471709609290848 |
136 | 0.58570911619508 | 0.82858176760984 | 0.41429088380492 |
137 | 0.55016840215144 | 0.89966319569712 | 0.44983159784856 |
138 | 0.554961084126533 | 0.890077831746933 | 0.445038915873467 |
139 | 0.474402977270853 | 0.948805954541705 | 0.525597022729147 |
140 | 0.394560770488016 | 0.789121540976032 | 0.605439229511984 |
141 | 0.54014405085072 | 0.919711898298561 | 0.459855949149280 |
142 | 0.459016322924554 | 0.918032645849109 | 0.540983677075446 |
143 | 0.37658010136057 | 0.75316020272114 | 0.62341989863943 |
144 | 0.286752679566945 | 0.573505359133891 | 0.713247320433055 |
145 | 0.30398419702743 | 0.60796839405486 | 0.69601580297257 |
146 | 0.214007842756546 | 0.428015685513091 | 0.785992157243455 |
147 | 0.329429442876015 | 0.65885888575203 | 0.670570557123985 |
148 | 0.234700554394278 | 0.469401108788556 | 0.765299445605722 |
149 | 0.609356759640063 | 0.781286480719874 | 0.390643240359937 |
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 | 5 | 0.0357142857142857 | OK |