Multiple Linear Regression - Estimated Regression Equation |
ConcMistakes[t] = -1.5248892301341 -0.599776425471945Gender[t] + 0.812146509740824DoubtsActions[t] + 0.258421861231516ParExp[t] + 0.179796229544163ParCrit[t] + 0.563133007199381PersonalStandards[t] -0.115118381547464Organisation[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) | -1.5248892301341 | 3.115376 | -0.4895 | 0.625213 | 0.312607 |
Gender | -0.599776425471945 | 0.803715 | -0.7463 | 0.456666 | 0.228333 |
DoubtsActions | 0.812146509740824 | 0.130552 | 6.2209 | 0 | 0 |
ParExp | 0.258421861231516 | 0.133299 | 1.9387 | 0.054395 | 0.027198 |
ParCrit | 0.179796229544163 | 0.168908 | 1.0645 | 0.288806 | 0.144403 |
PersonalStandards | 0.563133007199381 | 0.096033 | 5.864 | 0 | 0 |
Organisation | -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 | 25.3674713868651 | -1.36747138686511 |
2 | 25 | 22.0866476463817 | 2.91335235361827 |
3 | 17 | 23.1955619828948 | -6.19556198289476 |
4 | 18 | 19.6954852711489 | -1.69548527114888 |
5 | 18 | 19.2934117319808 | -1.29341173198077 |
6 | 16 | 19.4069284768995 | -3.40692847689946 |
7 | 20 | 20.7589904748235 | -0.758990474823452 |
8 | 16 | 22.1639181031645 | -6.16391810316451 |
9 | 18 | 22.2699711701797 | -4.26997117017975 |
10 | 17 | 20.3748373668623 | -3.37483736686227 |
11 | 23 | 22.7451621879169 | 0.2548378120831 |
12 | 30 | 22.7809772308356 | 7.21902276916444 |
13 | 23 | 14.9274999052554 | 8.07250009474463 |
14 | 18 | 18.9270333019304 | -0.927033301930446 |
15 | 15 | 21.5094110329846 | -6.50941103298456 |
16 | 12 | 17.7007097310609 | -5.70070973106094 |
17 | 21 | 19.8149507019515 | 1.18504929804847 |
18 | 15 | 15.1559582544423 | -0.155958254442295 |
19 | 20 | 19.6503366713127 | 0.349663328687287 |
20 | 31 | 26.8657836067955 | 4.13421639320451 |
21 | 27 | 25.6526881085114 | 1.34731189148858 |
22 | 34 | 27.0224560476379 | 6.97754395236206 |
23 | 21 | 19.4219510976682 | 1.57804890233179 |
24 | 31 | 20.7566452834311 | 10.2433547165689 |
25 | 19 | 19.1293017221016 | -0.129301722101633 |
26 | 16 | 20.6559948406093 | -4.65599484060933 |
27 | 20 | 21.4552422506445 | -1.45524225064448 |
28 | 21 | 18.0989891736177 | 2.90101082638234 |
29 | 22 | 21.8050381748566 | 0.194961825143429 |
30 | 17 | 19.3641178881308 | -2.36411788813077 |
31 | 24 | 20.1412656852589 | 3.85873431474111 |
32 | 25 | 30.8764051306378 | -5.87640513063775 |
33 | 26 | 27.2180233678308 | -1.21802336783077 |
34 | 25 | 23.8744390556015 | 1.12556094439853 |
35 | 17 | 22.8568298063824 | -5.8568298063824 |
36 | 32 | 27.6120319171437 | 4.38796808285625 |
37 | 33 | 23.4486398874301 | 9.5513601125699 |
38 | 13 | 21.9103787110914 | -8.91037871109142 |
39 | 32 | 27.6653605255195 | 4.33463947448045 |
40 | 25 | 25.6638628360616 | -0.663862836061555 |
41 | 29 | 26.8828480191344 | 2.1171519808656 |
42 | 22 | 21.8513274595929 | 0.148672540407081 |
43 | 18 | 17.2383468111127 | 0.761653188887309 |
44 | 17 | 21.6489862638793 | -4.6489862638793 |
45 | 20 | 22.6128997275348 | -2.61289972753484 |
46 | 15 | 20.2868033764848 | -5.28680337648485 |
47 | 20 | 22.0348068058981 | -2.03480680589807 |
48 | 33 | 27.9073746823552 | 5.09262531764483 |
49 | 29 | 22.5666104427985 | 6.43338955720151 |
50 | 23 | 26.5579698959982 | -3.55796989599819 |
51 | 26 | 23.6699671584999 | 2.33003284150006 |
52 | 18 | 18.7870370972407 | -0.787037097240737 |
53 | 20 | 19.1753534990643 | 0.82464650093573 |
54 | 11 | 11.6230304916359 | -0.623030491635941 |
55 | 28 | 28.7621782677923 | -0.762178267792346 |
56 | 26 | 23.1494302500649 | 2.85056974993514 |
57 | 22 | 22.669269923808 | -0.669269923808018 |
58 | 17 | 20.0517776355677 | -3.05177763556769 |
59 | 12 | 15.8538857599063 | -3.85388575990633 |
60 | 14 | 20.8973540189012 | -6.89735401890124 |
61 | 17 | 20.5411139668356 | -3.54111396683558 |
62 | 21 | 21.1874120307229 | -0.187412030722894 |
63 | 19 | 22.7894496147904 | -3.78944961479037 |
64 | 18 | 22.8711309424203 | -4.87113094242027 |
65 | 10 | 18.3900018497382 | -8.3900018497382 |
66 | 29 | 24.6370720525763 | 4.36292794742368 |
67 | 31 | 18.2796017334678 | 12.7203982665322 |
68 | 19 | 23.3693885717829 | -4.36938857178287 |
69 | 9 | 19.9178025587064 | -10.9178025587064 |
70 | 20 | 22.2903219027409 | -2.29032190274093 |
71 | 28 | 17.4621981138513 | 10.5378018861487 |
72 | 19 | 18.5468700910214 | 0.453129908978567 |
73 | 30 | 23.4904366160528 | 6.50956338394725 |
74 | 29 | 27.5909968331254 | 1.40900316687456 |
75 | 26 | 21.939900294569 | 4.06009970543104 |
76 | 23 | 19.9811821698965 | 3.01881783010348 |
77 | 13 | 22.6314806665406 | -9.63148066654058 |
78 | 21 | 22.4832495856698 | -1.48324958566979 |
79 | 19 | 21.2573070106616 | -2.25730701066162 |
80 | 28 | 22.792928310758 | 5.20707168924198 |
81 | 23 | 25.3729608504198 | -2.37296085041983 |
82 | 18 | 13.6094069148943 | 4.3905930851057 |
83 | 21 | 21.1856456618628 | -0.185645661862836 |
84 | 20 | 21.6207025203118 | -1.62070252031183 |
85 | 23 | 19.8030723533452 | 3.19692764665485 |
86 | 21 | 20.7020883249049 | 0.297911675095094 |
87 | 21 | 21.6170380931145 | -0.617038093114459 |
88 | 15 | 22.6231781689117 | -7.62317816891175 |
89 | 28 | 26.9449762549455 | 1.05502374505454 |
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 | 21.038463264977 | 0.96153673502298 |
95 | 19 | 18.5428525504552 | 0.457147449544845 |
96 | 31 | 28.6083915923401 | 2.39160840765988 |
97 | 31 | 25.6533606613582 | 5.34663933864182 |
98 | 29 | 24.6506943664122 | 4.34930563358783 |
99 | 19 | 17.8629734162128 | 1.13702658378723 |
100 | 22 | 18.7437983543523 | 3.25620164564775 |
101 | 23 | 22.2056628088056 | 0.794337191194412 |
102 | 15 | 16.6220171743863 | -1.62201717438634 |
103 | 20 | 21.913173055602 | -1.91317305560195 |
104 | 18 | 19.3399853933777 | -1.33998539337772 |
105 | 23 | 21.810215328865 | 1.18978467113503 |
106 | 25 | 20.8334925012105 | 4.1665074987895 |
107 | 21 | 16.3946802847268 | 4.60531971527318 |
108 | 24 | 19.314850837089 | 4.68514916291101 |
109 | 25 | 25.0709120701137 | -0.0709120701136659 |
110 | 17 | 19.4547342883026 | -2.45473428830264 |
111 | 13 | 14.4287552152974 | -1.4287552152974 |
112 | 28 | 18.0383639290045 | 9.96163607099551 |
113 | 21 | 20.4886626656978 | 0.511337334302206 |
114 | 25 | 27.9423547054043 | -2.94235470540425 |
115 | 9 | 21.0762576763391 | -12.0762576763391 |
116 | 16 | 17.6939237600989 | -1.69392376009894 |
117 | 19 | 21.046422718448 | -2.04642271844801 |
118 | 17 | 19.2889309744774 | -2.28893097447745 |
119 | 25 | 24.3659644663829 | 0.634035533617051 |
120 | 20 | 15.4196958930467 | 4.58030410695328 |
121 | 29 | 21.44593769148 | 7.55406230852002 |
122 | 14 | 18.8999489107604 | -4.89994891076041 |
123 | 22 | 26.7321259935752 | -4.73212599357522 |
124 | 15 | 15.3865155722756 | -0.386515572275644 |
125 | 19 | 25.8655570594453 | -6.86555705944529 |
126 | 20 | 21.8185578044274 | -1.81855780442743 |
127 | 15 | 17.9017713795316 | -2.90177137953155 |
128 | 20 | 21.6120705139941 | -1.61207051399408 |
129 | 18 | 20.0655867958938 | -2.06558679589383 |
130 | 33 | 25.2898944391628 | 7.71010556083722 |
131 | 22 | 23.5892499774693 | -1.58924997746931 |
132 | 16 | 16.3167272058862 | -0.316727205886224 |
133 | 17 | 18.8852557986806 | -1.88525579868057 |
134 | 16 | 14.906159445578 | 1.09384055442197 |
135 | 21 | 17.4984133780041 | 3.50158662199593 |
136 | 26 | 28.1082687097083 | -2.10826870970826 |
137 | 18 | 21.0102381889068 | -3.0102381889068 |
138 | 18 | 22.927996914261 | -4.92799691426099 |
139 | 17 | 18.1546868170441 | -1.15468681704408 |
140 | 22 | 24.5338027250514 | -2.5338027250514 |
141 | 30 | 24.5297501216679 | 5.47024987833213 |
142 | 30 | 27.693411915408 | 2.306588084592 |
143 | 24 | 29.7180440769175 | -5.7180440769175 |
144 | 21 | 21.8284181608956 | -0.82841816089561 |
145 | 21 | 25.2236239084878 | -4.22362390848779 |
146 | 29 | 27.2328463883029 | 1.76715361169705 |
147 | 31 | 23.0870665694773 | 7.91293343052268 |
148 | 20 | 18.8092925326549 | 1.19070746734509 |
149 | 16 | 14.6384488700858 | 1.36155112991424 |
150 | 22 | 19.3484437135137 | 2.65155628648631 |
151 | 20 | 20.1300202451636 | -0.130020245163567 |
152 | 28 | 27.1951491319507 | 0.804850868049288 |
153 | 38 | 26.4868027881196 | 11.5131972118804 |
154 | 22 | 19.7992193502582 | 2.20078064974181 |
155 | 20 | 25.5275587020833 | -5.52755870208333 |
156 | 17 | 18.5047320550995 | -1.5047320550995 |
157 | 28 | 24.2787468063115 | 3.72125319368852 |
158 | 22 | 23.9638509492812 | -1.96385094928122 |
159 | 31 | 26.5271034532647 | 4.4728965467353 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.0844420500201225 | 0.168884100040245 | 0.915557949979877 |
11 | 0.0464752780920931 | 0.0929505561841863 | 0.953524721907907 |
12 | 0.130278876290242 | 0.260557752580483 | 0.869721123709758 |
13 | 0.0844961437839683 | 0.168992287567937 | 0.915503856216032 |
14 | 0.129771754078389 | 0.259543508156779 | 0.870228245921611 |
15 | 0.0837902520070487 | 0.167580504014097 | 0.916209747992951 |
16 | 0.061635540514751 | 0.123271081029502 | 0.938364459485249 |
17 | 0.0823406090997283 | 0.164681218199457 | 0.917659390900272 |
18 | 0.103431029533643 | 0.206862059067287 | 0.896568970466357 |
19 | 0.0989515896919391 | 0.197903179383878 | 0.901048410308061 |
20 | 0.135233178248043 | 0.270466356496087 | 0.864766821751957 |
21 | 0.0964672042442725 | 0.192934408488545 | 0.903532795755728 |
22 | 0.273774456657781 | 0.547548913315561 | 0.726225543342219 |
23 | 0.213650645233384 | 0.427301290466768 | 0.786349354766616 |
24 | 0.517651166481889 | 0.964697667036223 | 0.482348833518111 |
25 | 0.44430888469239 | 0.88861776938478 | 0.55569111530761 |
26 | 0.471727515677312 | 0.943455031354624 | 0.528272484322688 |
27 | 0.415577906259593 | 0.831155812519186 | 0.584422093740407 |
28 | 0.372566640640188 | 0.745133281280377 | 0.627433359359812 |
29 | 0.321730152490764 | 0.643460304981528 | 0.678269847509236 |
30 | 0.268755298152277 | 0.537510596304554 | 0.731244701847723 |
31 | 0.348260396122867 | 0.696520792245734 | 0.651739603877133 |
32 | 0.390621718429583 | 0.781243436859165 | 0.609378281570417 |
33 | 0.339860064439077 | 0.679720128878154 | 0.660139935560923 |
34 | 0.394515220214514 | 0.789030440429027 | 0.605484779785486 |
35 | 0.392960755307926 | 0.785921510615851 | 0.607039244692074 |
36 | 0.399333364164459 | 0.798666728328917 | 0.600666635835541 |
37 | 0.592350983294007 | 0.815298033411985 | 0.407649016705992 |
38 | 0.785550313920866 | 0.428899372158268 | 0.214449686079134 |
39 | 0.780877336142334 | 0.438245327715332 | 0.219122663857666 |
40 | 0.74129423560946 | 0.51741152878108 | 0.25870576439054 |
41 | 0.715508356100145 | 0.568983287799709 | 0.284491643899855 |
42 | 0.667162566875003 | 0.665674866249995 | 0.332837433124998 |
43 | 0.619217034978155 | 0.76156593004369 | 0.380782965021845 |
44 | 0.604204389006928 | 0.791591221986145 | 0.395795610993072 |
45 | 0.567088000813683 | 0.865823998372635 | 0.432911999186317 |
46 | 0.588424062937882 | 0.823151874124236 | 0.411575937062118 |
47 | 0.547730827594952 | 0.904538344810096 | 0.452269172405048 |
48 | 0.535401163172005 | 0.92919767365599 | 0.464598836827995 |
49 | 0.601861514362917 | 0.796276971274166 | 0.398138485637083 |
50 | 0.580082643413099 | 0.839834713173802 | 0.419917356586901 |
51 | 0.542717277929413 | 0.914565444141174 | 0.457282722070587 |
52 | 0.492846170622925 | 0.98569234124585 | 0.507153829377075 |
53 | 0.452222662546296 | 0.904445325092591 | 0.547777337453704 |
54 | 0.40451682932989 | 0.809033658659779 | 0.59548317067011 |
55 | 0.359411189714611 | 0.718822379429221 | 0.640588810285389 |
56 | 0.332533802571894 | 0.665067605143788 | 0.667466197428106 |
57 | 0.288601229177287 | 0.577202458354575 | 0.711398770822713 |
58 | 0.263304610154698 | 0.526609220309397 | 0.736695389845302 |
59 | 0.244943182346779 | 0.489886364693557 | 0.755056817653221 |
60 | 0.303065244327151 | 0.606130488654303 | 0.696934755672849 |
61 | 0.289369447181478 | 0.578738894362956 | 0.710630552818522 |
62 | 0.251115929215077 | 0.502231858430154 | 0.748884070784923 |
63 | 0.237127944220828 | 0.474255888441655 | 0.762872055779172 |
64 | 0.266326862706789 | 0.532653725413578 | 0.733673137293211 |
65 | 0.351174242752547 | 0.702348485505094 | 0.648825757247453 |
66 | 0.349383910768305 | 0.69876782153661 | 0.650616089231695 |
67 | 0.683580340507481 | 0.632839318985039 | 0.316419659492519 |
68 | 0.678779630231637 | 0.642440739536726 | 0.321220369768363 |
69 | 0.84901838373248 | 0.301963232535041 | 0.15098161626752 |
70 | 0.829029595089471 | 0.341940809821057 | 0.170970404910529 |
71 | 0.933488282012462 | 0.133023435975075 | 0.0665117179875376 |
72 | 0.917208616935737 | 0.165582766128525 | 0.0827913830642627 |
73 | 0.937387932560046 | 0.125224134879907 | 0.0626120674399537 |
74 | 0.924638154689406 | 0.150723690621188 | 0.0753618453105941 |
75 | 0.924019499881152 | 0.151961000237695 | 0.0759805001188476 |
76 | 0.91589199642776 | 0.16821600714448 | 0.0841080035722401 |
77 | 0.967098379570535 | 0.0658032408589302 | 0.0329016204294651 |
78 | 0.959048374082739 | 0.0819032518345215 | 0.0409516259172607 |
79 | 0.950657267973882 | 0.098685464052237 | 0.0493427320261185 |
80 | 0.954160566639851 | 0.0916788667202977 | 0.0458394333601489 |
81 | 0.945461035479997 | 0.109077929040006 | 0.0545389645200029 |
82 | 0.945131042219939 | 0.109737915560122 | 0.0548689577800612 |
83 | 0.930773668713893 | 0.138452662572214 | 0.0692263312861071 |
84 | 0.916628973684819 | 0.166742052630362 | 0.0833710263151811 |
85 | 0.907956640746761 | 0.184086718506477 | 0.0920433592532386 |
86 | 0.891859186466487 | 0.216281627067027 | 0.108140813533513 |
87 | 0.869410974360294 | 0.261178051279413 | 0.130589025639706 |
88 | 0.914884723383783 | 0.170230553232434 | 0.0851152766162169 |
89 | 0.89716090666486 | 0.20567818667028 | 0.10283909333514 |
90 | 0.876485606412921 | 0.247028787174159 | 0.123514393587079 |
91 | 0.878605257035801 | 0.242789485928398 | 0.121394742964199 |
92 | 0.866875768263779 | 0.266248463472442 | 0.133124231736221 |
93 | 0.843596113524808 | 0.312807772950384 | 0.156403886475192 |
94 | 0.81547333487834 | 0.369053330243321 | 0.18452666512166 |
95 | 0.781491494107807 | 0.437017011784386 | 0.218508505892193 |
96 | 0.752079323785577 | 0.495841352428846 | 0.247920676214423 |
97 | 0.770068792292651 | 0.459862415414698 | 0.229931207707349 |
98 | 0.764369298000278 | 0.471261403999444 | 0.235630701999722 |
99 | 0.727740692197548 | 0.544518615604904 | 0.272259307802452 |
100 | 0.702831681335258 | 0.594336637329485 | 0.297168318664742 |
101 | 0.659377625238887 | 0.681244749522226 | 0.340622374761113 |
102 | 0.61957469148144 | 0.760850617037121 | 0.38042530851856 |
103 | 0.580960151237174 | 0.838079697525653 | 0.419039848762826 |
104 | 0.537989483789911 | 0.924021032420178 | 0.462010516210089 |
105 | 0.491796554578656 | 0.983593109157312 | 0.508203445421344 |
106 | 0.473454294885587 | 0.946908589771175 | 0.526545705114413 |
107 | 0.470712762093607 | 0.941425524187215 | 0.529287237906393 |
108 | 0.482821948087738 | 0.965643896175476 | 0.517178051912262 |
109 | 0.432307389908603 | 0.864614779817206 | 0.567692610091397 |
110 | 0.408228619747199 | 0.816457239494399 | 0.591771380252801 |
111 | 0.368641982308945 | 0.73728396461789 | 0.631358017691055 |
112 | 0.5969255547499 | 0.806148890500199 | 0.4030744452501 |
113 | 0.58411803181028 | 0.83176393637944 | 0.41588196818972 |
114 | 0.552622643035536 | 0.894754713928929 | 0.447377356964464 |
115 | 0.79288271461248 | 0.41423457077504 | 0.20711728538752 |
116 | 0.765973641984661 | 0.468052716030679 | 0.234026358015339 |
117 | 0.751625117907193 | 0.496749764185614 | 0.248374882092807 |
118 | 0.720775263703317 | 0.558449472593365 | 0.279224736296682 |
119 | 0.673303551854725 | 0.65339289629055 | 0.326696448145275 |
120 | 0.702407113800498 | 0.595185772399004 | 0.297592886199502 |
121 | 0.754183274449282 | 0.491633451101437 | 0.245816725550718 |
122 | 0.744794612473908 | 0.510410775052184 | 0.255205387526092 |
123 | 0.746704701933119 | 0.506590596133762 | 0.253295298066881 |
124 | 0.695736418514833 | 0.608527162970334 | 0.304263581485167 |
125 | 0.78535276127588 | 0.42929447744824 | 0.21464723872412 |
126 | 0.747396829293261 | 0.505206341413478 | 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 | 0.437453909244397 | 0.218726954622198 |
131 | 0.73060127775828 | 0.538797444483441 | 0.26939872224172 |
132 | 0.670855513792557 | 0.658288972414886 | 0.329144486207443 |
133 | 0.653577624333845 | 0.692844751332309 | 0.346422375666155 |
134 | 0.585458935116987 | 0.829082129766027 | 0.414541064883014 |
135 | 0.528290390709153 | 0.943419218581695 | 0.471709609290847 |
136 | 0.58570911619508 | 0.828581767609841 | 0.41429088380492 |
137 | 0.550168402151443 | 0.899663195697115 | 0.449831597848557 |
138 | 0.554961084126532 | 0.890077831746937 | 0.445038915873468 |
139 | 0.474402977270854 | 0.948805954541708 | 0.525597022729146 |
140 | 0.394560770488017 | 0.789121540976033 | 0.605439229511983 |
141 | 0.54014405085072 | 0.919711898298559 | 0.45985594914928 |
142 | 0.459016322924555 | 0.91803264584911 | 0.540983677075445 |
143 | 0.376580101360571 | 0.753160202721141 | 0.623419898639429 |
144 | 0.286752679566946 | 0.573505359133891 | 0.713247320433054 |
145 | 0.30398419702743 | 0.607968394054861 | 0.69601580297257 |
146 | 0.214007842756545 | 0.428015685513091 | 0.785992157243455 |
147 | 0.329429442876014 | 0.658858885752029 | 0.670570557123986 |
148 | 0.234700554394278 | 0.469401108788556 | 0.765299445605722 |
149 | 0.609356759640063 | 0.781286480719873 | 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 |