Multiple Linear Regression - Estimated Regression Equation |
standards[t] = + 2.48963932953509 + 0.0538450994962259organization[t] + 0.387877857721709punished[t] + 0.0566181025382133secondrate[t] -0.0508237544025616mistakes[t] -0.079317766161663competent[t] -0.0330405295816517neat[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) | 2.48963932953509 | 0.554111 | 4.493 | 1.4e-05 | 7e-06 |
organization | 0.0538450994962259 | 0.093358 | 0.5768 | 0.564956 | 0.282478 |
punished | 0.387877857721709 | 0.085727 | 4.5246 | 1.2e-05 | 6e-06 |
secondrate | 0.0566181025382133 | 0.077433 | 0.7312 | 0.46579 | 0.232895 |
mistakes | -0.0508237544025616 | 0.087434 | -0.5813 | 0.56191 | 0.280955 |
competent | -0.079317766161663 | 0.096687 | -0.8204 | 0.413298 | 0.206649 |
neat | -0.0330405295816517 | 0.100069 | -0.3302 | 0.74172 | 0.37086 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.376060259714053 |
R-squared | 0.141421318936201 |
Adjusted R-squared | 0.107530055209998 |
F-TEST (value) | 4.1727956820584 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 0.000651696167687899 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.912727461888245 |
Sum Squared Residuals | 126.626855792114 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 3.10257040389327 | -1.10257040389327 |
2 | 2 | 3.10534340693532 | -1.10534340693532 |
3 | 4 | 3.07684939517622 | 0.923150604823783 |
4 | 2 | 3.20156648858478 | -1.20156648858478 |
5 | 3 | 3.04305253518977 | -0.0430525351897662 |
6 | 4 | 2.73247577099253 | 1.26752422900747 |
7 | 3 | 2.75972195243853 | 0.240278047561468 |
8 | 3 | 3.46964369170047 | -0.469643691700466 |
9 | 3 | 3.04570395930344 | -0.0457039593034414 |
10 | 2 | 2.87030673340128 | -0.870306733401284 |
11 | 4 | 3.90379878600219 | 0.0962012139978136 |
12 | 4 | 3.04847696234543 | 0.951523037654572 |
13 | 3 | 3.4562814806486 | -0.4562814806486 |
14 | 3 | 3.05516691592853 | -0.0551669159285313 |
15 | 4 | 2.58065177118062 | 1.41934822881938 |
16 | 4 | 2.70310384990032 | 1.29689615009968 |
17 | 3 | 3.08176583397876 | -0.0817658339787574 |
18 | 3 | 3.15995734875563 | -0.159957348755631 |
19 | 3 | 2.99210720185889 | 0.0078927981411074 |
20 | 4 | 3.03094207957620 | 0.969057920423804 |
21 | 2 | 2.80132983319782 | -0.801329833197823 |
22 | 5 | 3.18466117309698 | 1.81533882690302 |
23 | 4 | 3.91450957294038 | 0.0854904270596224 |
24 | 2 | 3.07597148584311 | -1.07597148584311 |
25 | 3 | 3.31202969061922 | -0.312029690619219 |
26 | 4 | 3.18466117309698 | 0.815338826903018 |
27 | 4 | 3.09954905879967 | 0.900450941200333 |
28 | 3 | 3.12224872242312 | -0.122248722423117 |
29 | 4 | 3.37419071144495 | 0.62580928855505 |
30 | 4 | 3.09954905879967 | 0.900450941200333 |
31 | 1 | 2.57118881455553 | -1.57118881455553 |
32 | 4 | 3.83027536797618 | 0.169724632023825 |
33 | 5 | 2.71142285902628 | 2.28857714097372 |
34 | 2 | 3.16196150947353 | -1.16196150947353 |
35 | 4 | 3.02514773144054 | 0.974852268559456 |
36 | 3 | 3.13069449467244 | -0.130694494672444 |
37 | 2 | 3.29387654481832 | -1.29387654481832 |
38 | 4 | 3.25239024298734 | 0.747609757012658 |
39 | 5 | 3.10232206184165 | 1.89767793815835 |
40 | 4 | 3.18920769091953 | 0.810792309080468 |
41 | 4 | 2.98441776001437 | 1.01558223998563 |
42 | 4 | 3.15037281320223 | 0.849627186797771 |
43 | 3 | 3.23460701816643 | -0.234607018166432 |
44 | 4 | 3.29387654481832 | 0.70612345518168 |
45 | 2 | 3.13258958838132 | -1.13258958838132 |
46 | 2 | 2.65228009549776 | -0.652280095497758 |
47 | 4 | 3.09991897977966 | 0.900081020220343 |
48 | 2 | 2.74558963999272 | -0.745589639992722 |
49 | 4 | 3.04293095626145 | 0.957069043738545 |
50 | 4 | 2.71444420411995 | 1.28555579588005 |
51 | 1 | 2.81911305801873 | -1.81911305801873 |
52 | 4 | 3.04293095626145 | 0.957069043738545 |
53 | 2 | 3.0098904266798 | -1.00989042667980 |
54 | 1 | 2.71054494969317 | -1.71054494969317 |
55 | 4 | 4.06720713521908 | -0.0672071352190847 |
56 | 3 | 3.12035362871424 | -0.120353628714242 |
57 | 2 | 3.12312663175623 | -1.12312663175623 |
58 | 4 | 2.65505309853974 | 1.34494690146025 |
59 | 3 | 2.81634005497675 | 0.183659945023254 |
60 | 2 | 3.12993816426764 | -1.12993816426764 |
61 | 2 | 3.14759981016024 | -1.14759981016024 |
62 | 3 | 2.76249495548052 | 0.23750504451948 |
63 | 2 | 2.67585766845432 | -0.67585766845432 |
64 | 1 | 3.04872530439711 | -2.04872530439711 |
65 | 3 | 2.73437086470141 | 0.265629135298592 |
66 | 2 | 2.78909387353075 | -0.789093873530746 |
67 | 3 | 3.20156648858478 | -0.20156648858478 |
68 | 3 | 2.75630042693091 | 0.243699573069087 |
69 | 3 | 2.70310384990032 | 0.29689615009968 |
70 | 2 | 3.09954905879967 | -1.09954905879967 |
71 | 3 | 2.60120799904352 | 0.398792000956481 |
72 | 2 | 2.65505309853975 | -0.655053098539745 |
73 | 4 | 3.5412720160176 | 0.458727983982398 |
74 | 4 | 3.67720788471748 | 0.322792115282522 |
75 | 4 | 3.26083601523667 | 0.739163984763332 |
76 | 2 | 3.07597148584311 | -1.07597148584311 |
77 | 3 | 2.71167120107796 | 0.288328798922041 |
78 | 4 | 3.63093064813747 | 0.369069351862533 |
79 | 3 | 3.06373552617603 | -0.0637355261760286 |
80 | 4 | 3.09375471066402 | 0.906245289335984 |
81 | 2 | 3.07532422244733 | -1.07532422244733 |
82 | 3 | 3.1146808595069 | -0.114680859506902 |
83 | 3 | 2.79678331537527 | 0.203216684624727 |
84 | 4 | 3.73936890554321 | 0.260631094456791 |
85 | 2 | 2.84181272164218 | -0.841812721642183 |
86 | 4 | 2.84760706977783 | 1.15239293022217 |
87 | 2 | 2.71167120107796 | -0.711671201077958 |
88 | 2 | 2.67006332031867 | -0.670063320318668 |
89 | 4 | 3.87530477424309 | 0.124695225756915 |
90 | 3 | 3.12679524024567 | -0.126795240245667 |
91 | 4 | 3.04293095626145 | 0.957069043738545 |
92 | 2 | 2.81546214564363 | -0.815462145643634 |
93 | 2 | 2.65782610158173 | -0.657826101581733 |
94 | 3 | 2.60120799904352 | 0.398792000956481 |
95 | 3 | 3.49044826161504 | -0.490448261615041 |
96 | 5 | 3.86142080384895 | 1.13857919615105 |
97 | 2 | 3.92612852864565 | -1.92612852864565 |
98 | 3 | 3.52626179423868 | -0.526261794238679 |
99 | 4 | 3.28543077256899 | 0.714569227431007 |
100 | 3 | 3.20611300640733 | -0.206113006407330 |
101 | 4 | 3.59978521226469 | 0.400214787735309 |
102 | 3 | 2.81823514868562 | 0.181764851314379 |
103 | 3 | 3.44606611874390 | -0.446066118743905 |
104 | 2 | 3.07597148584311 | -1.07597148584311 |
105 | 3 | 3.27898916103757 | -0.278989161037568 |
106 | 2 | 3.30131764461117 | -1.30131764461117 |
107 | 3 | 3.18832978158642 | -0.188329781586420 |
108 | 2 | 3.80065510483228 | -1.80065510483228 |
109 | 4 | 3.57129120050559 | 0.428708799494410 |
110 | 2 | 2.84395615740274 | -0.843956157402736 |
111 | 4 | 2.62390766266697 | 1.37609233733303 |
112 | 4 | 2.99790154999454 | 1.00209845000546 |
113 | 1 | 2.69666097929904 | -1.69666097929904 |
114 | 5 | 3.58742641459944 | 1.41257358540056 |
115 | 2 | 3.0594360913353 | -1.05943609133530 |
116 | 3 | 3.22969057936389 | -0.229690579363892 |
117 | 4 | 3.05793991897052 | 0.942060081029482 |
118 | 1 | 2.62365932061529 | -1.62365932061529 |
119 | 5 | 3.56674468268304 | 1.43325531731696 |
120 | 3 | 2.87674834493271 | 0.12325165506729 |
121 | 3 | 2.79553548506217 | 0.204464514937828 |
122 | 3 | 3.10144415250854 | -0.101444152508543 |
123 | 3 | 3.52324044914501 | -0.523240449145015 |
124 | 2 | 3.01745828959602 | -1.01745828959602 |
125 | 2 | 2.60422934413718 | -0.604229344137184 |
126 | 4 | 3.18163982800332 | 0.818360171996682 |
127 | 4 | 2.93147135376205 | 1.06852864623795 |
128 | 3 | 3.17886682496133 | -0.178866824961330 |
129 | 3 | 2.79098896723962 | 0.209011032760379 |
130 | 3 | 3.04872530439711 | -0.0487253043971058 |
131 | 4 | 3.55628097872667 | 0.443719021273333 |
132 | 3 | 3.12224872242312 | -0.122248722423117 |
133 | 4 | 2.72402999874321 | 1.27597000125679 |
134 | 4 | 2.84181272164218 | 1.15818727835782 |
135 | 2 | 3.20156648858478 | -1.20156648858478 |
136 | 4 | 3.09954905879967 | 0.900450941200333 |
137 | 2 | 2.63424852862517 | -0.634248528625171 |
138 | 4 | 3.09122879060385 | 0.908771209396152 |
139 | 3 | 3.53825067092394 | -0.538250670923938 |
140 | 3 | 3.69321324789151 | -0.69321324789151 |
141 | 2 | 2.97986998312196 | -0.979869983121957 |
142 | 2 | 3.88564564020129 | -1.88564564020129 |
143 | 5 | 4.12484242213306 | 0.875157577866938 |
144 | 2 | 2.70587685294231 | -0.705876852942307 |
145 | 4 | 3.4005412874435 | 0.599458712556501 |
146 | 3 | 3.15616716133788 | -0.156167161337881 |
147 | 3 | 3.05604482526164 | -0.0560448252616432 |
148 | 3 | 3.12779472850709 | -0.127794728507091 |
149 | 3 | 2.63159710451150 | 0.368402895488504 |
150 | 4 | 3.9319228767813 | 0.0680771232187017 |
151 | 4 | 3.23246358240588 | 0.767536417594121 |
152 | 4 | 3.09954905879967 | 0.900450941200333 |
153 | 4 | 3.3126561701042 | 0.687343829895803 |
154 | 4 | 2.69276172487226 | 1.30723827512774 |
155 | 5 | 3.93406631254185 | 1.06593368745815 |
156 | 3 | 3.15528925200477 | -0.155289252004769 |
157 | 3 | 3.02023129263800 | -0.0202312926380044 |
158 | 4 | 3.87530477424309 | 0.124695225756915 |
159 | 4 | 3.91148822784671 | 0.0885117721532867 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.55725716979339 | 0.885485660413221 | 0.442742830206611 |
11 | 0.428539507443499 | 0.857079014886998 | 0.571460492556501 |
12 | 0.293454951887948 | 0.586909903775897 | 0.706545048112052 |
13 | 0.297469316757875 | 0.59493863351575 | 0.702530683242125 |
14 | 0.268049342126501 | 0.536098684253002 | 0.731950657873499 |
15 | 0.325549490697584 | 0.651098981395168 | 0.674450509302416 |
16 | 0.250968154353744 | 0.501936308707489 | 0.749031845646256 |
17 | 0.182587624125541 | 0.365175248251083 | 0.817412375874458 |
18 | 0.170531255406562 | 0.341062510813125 | 0.829468744593438 |
19 | 0.137383633037538 | 0.274767266075077 | 0.862616366962462 |
20 | 0.182486811742659 | 0.364973623485318 | 0.817513188257341 |
21 | 0.149582062582616 | 0.299164125165231 | 0.850417937417384 |
22 | 0.576663886434535 | 0.84667222713093 | 0.423336113565465 |
23 | 0.546478597381214 | 0.907042805237573 | 0.453521402618786 |
24 | 0.57469253766948 | 0.85061492466104 | 0.42530746233052 |
25 | 0.516904341347138 | 0.966191317305724 | 0.483095658652862 |
26 | 0.49559543030846 | 0.99119086061692 | 0.50440456969154 |
27 | 0.472821554178043 | 0.945643108356086 | 0.527178445821957 |
28 | 0.406377908735262 | 0.812755817470525 | 0.593622091264738 |
29 | 0.357932058654779 | 0.715864117309557 | 0.642067941345221 |
30 | 0.333440272439605 | 0.66688054487921 | 0.666559727560395 |
31 | 0.620532596645171 | 0.758934806709658 | 0.379467403354829 |
32 | 0.56040069493545 | 0.8791986101291 | 0.43959930506455 |
33 | 0.710641582727918 | 0.578716834544165 | 0.289358417272082 |
34 | 0.770829163835612 | 0.458341672328777 | 0.229170836164388 |
35 | 0.765475609683249 | 0.469048780633502 | 0.234524390316751 |
36 | 0.726568796742454 | 0.546862406515092 | 0.273431203257546 |
37 | 0.747224550555308 | 0.505550898889385 | 0.252775449444692 |
38 | 0.741891210907907 | 0.516217578184186 | 0.258108789092093 |
39 | 0.81794586345486 | 0.364108273090279 | 0.182054136545140 |
40 | 0.805930760551131 | 0.388138478897738 | 0.194069239448869 |
41 | 0.79229041604673 | 0.415419167906541 | 0.207709583953270 |
42 | 0.769916883125992 | 0.460166233748016 | 0.230083116874008 |
43 | 0.729547258622842 | 0.540905482754316 | 0.270452741377158 |
44 | 0.7121587240489 | 0.575682551902199 | 0.287841275951100 |
45 | 0.749600705035705 | 0.500798589928590 | 0.250399294964295 |
46 | 0.73082575589584 | 0.538348488208321 | 0.269174244104160 |
47 | 0.745937181676097 | 0.508125636647806 | 0.254062818323903 |
48 | 0.752988269247949 | 0.494023461504103 | 0.247011730752051 |
49 | 0.740641151209613 | 0.518717697580775 | 0.259358848790387 |
50 | 0.755649526023372 | 0.488700947953257 | 0.244350473976629 |
51 | 0.868990283599095 | 0.26201943280181 | 0.131009716400905 |
52 | 0.862293198435398 | 0.275413603129203 | 0.137706801564602 |
53 | 0.889215722958122 | 0.221568554083755 | 0.110784277041878 |
54 | 0.945083355067076 | 0.109833289865849 | 0.0549166449329244 |
55 | 0.934656733045419 | 0.130686533909162 | 0.065343266954581 |
56 | 0.918823766647645 | 0.16235246670471 | 0.081176233352355 |
57 | 0.930483160990702 | 0.139033678018596 | 0.0695168390092978 |
58 | 0.94406409914646 | 0.111871801707080 | 0.0559359008535402 |
59 | 0.929856534396761 | 0.140286931206478 | 0.0701434656032388 |
60 | 0.936887718551488 | 0.126224562897024 | 0.0631122814485118 |
61 | 0.943951744310953 | 0.112096511378094 | 0.056048255689047 |
62 | 0.930210762604652 | 0.139578474790696 | 0.0697892373953481 |
63 | 0.923185077068578 | 0.153629845862844 | 0.076814922931422 |
64 | 0.971022165609714 | 0.057955668780572 | 0.028977834390286 |
65 | 0.963054499965237 | 0.0738910000695269 | 0.0369455000347634 |
66 | 0.959296830760054 | 0.0814063384798917 | 0.0407031692399458 |
67 | 0.948749973907655 | 0.102500052184690 | 0.0512500260923448 |
68 | 0.936561558543793 | 0.126876882912415 | 0.0634384414562074 |
69 | 0.922342866542098 | 0.155314266915804 | 0.0776571334579022 |
70 | 0.929403186879061 | 0.141193626241877 | 0.0705968131209386 |
71 | 0.916361899810571 | 0.167276200378858 | 0.083638100189429 |
72 | 0.907412411794552 | 0.185175176410896 | 0.0925875882054482 |
73 | 0.892325907918899 | 0.215348184162203 | 0.107674092081101 |
74 | 0.874002904654893 | 0.251994190690214 | 0.125997095345107 |
75 | 0.865241086079496 | 0.269517827841008 | 0.134758913920504 |
76 | 0.874026696101304 | 0.251946607797393 | 0.125973303898696 |
77 | 0.851174456766812 | 0.297651086466377 | 0.148825543233188 |
78 | 0.826995716307276 | 0.346008567385447 | 0.173004283692724 |
79 | 0.795266892582418 | 0.409466214835165 | 0.204733107417582 |
80 | 0.793587774193195 | 0.412824451613609 | 0.206412225806805 |
81 | 0.804819515895252 | 0.390360968209496 | 0.195180484104748 |
82 | 0.771593284011894 | 0.456813431976213 | 0.228406715988106 |
83 | 0.738039189900595 | 0.523921620198809 | 0.261960810099405 |
84 | 0.705299369493388 | 0.589401261013224 | 0.294700630506612 |
85 | 0.699720144410008 | 0.600559711179985 | 0.300279855589992 |
86 | 0.719243067203892 | 0.561513865592215 | 0.280756932796108 |
87 | 0.702043558083836 | 0.595912883832329 | 0.297956441916164 |
88 | 0.680174798698625 | 0.63965040260275 | 0.319825201301375 |
89 | 0.637657904773231 | 0.724684190453538 | 0.362342095226769 |
90 | 0.593230815962599 | 0.813538368074802 | 0.406769184037401 |
91 | 0.597471342617749 | 0.805057314764501 | 0.402528657382251 |
92 | 0.591038003389677 | 0.817923993220645 | 0.408961996610323 |
93 | 0.568294022594385 | 0.86341195481123 | 0.431705977405615 |
94 | 0.532066010491016 | 0.935867979017967 | 0.467933989508984 |
95 | 0.501342673402376 | 0.997314653195249 | 0.498657326597624 |
96 | 0.524267954178641 | 0.951464091642717 | 0.475732045821359 |
97 | 0.688841086984798 | 0.622317826030404 | 0.311158913015202 |
98 | 0.658883613880541 | 0.682232772238918 | 0.341116386119459 |
99 | 0.635539140809813 | 0.728921718380374 | 0.364460859190187 |
100 | 0.595010107020176 | 0.809979785959649 | 0.404989892979824 |
101 | 0.552626128315932 | 0.894747743368135 | 0.447373871684068 |
102 | 0.504700389090737 | 0.990599221818527 | 0.495299610909263 |
103 | 0.469799447169828 | 0.939598894339655 | 0.530200552830172 |
104 | 0.495186846469915 | 0.99037369293983 | 0.504813153530085 |
105 | 0.461499237105885 | 0.92299847421177 | 0.538500762894115 |
106 | 0.515631226126805 | 0.96873754774639 | 0.484368773873194 |
107 | 0.478798124241861 | 0.957596248483723 | 0.521201875758139 |
108 | 0.619880818885527 | 0.760238362228947 | 0.380119181114473 |
109 | 0.576360562235783 | 0.847278875528433 | 0.423639437764216 |
110 | 0.628381759191462 | 0.743236481617076 | 0.371618240808538 |
111 | 0.690958558707385 | 0.61808288258523 | 0.309041441292615 |
112 | 0.74261585142438 | 0.51476829715124 | 0.25738414857562 |
113 | 0.81359050068464 | 0.372818998630719 | 0.186409499315359 |
114 | 0.850342964264472 | 0.299314071471056 | 0.149657035735528 |
115 | 0.868826716450453 | 0.262346567099095 | 0.131173283549547 |
116 | 0.84815700186124 | 0.303685996277519 | 0.151842998138760 |
117 | 0.863794162942835 | 0.27241167411433 | 0.136205837057165 |
118 | 0.918686130789387 | 0.162627738421227 | 0.0813138692106135 |
119 | 0.938687827860126 | 0.122624344279748 | 0.0613121721398739 |
120 | 0.933988261823118 | 0.132023476353764 | 0.066011738176882 |
121 | 0.912789820128158 | 0.174420359743684 | 0.0872101798718422 |
122 | 0.89581824730444 | 0.208363505391119 | 0.104181752695560 |
123 | 0.878847080290484 | 0.242305839419032 | 0.121152919709516 |
124 | 0.875499179420225 | 0.249001641159549 | 0.124500820579775 |
125 | 0.855381012038872 | 0.289237975922257 | 0.144618987961128 |
126 | 0.844534982485511 | 0.310930035028978 | 0.155465017514489 |
127 | 0.836108163394507 | 0.327783673210987 | 0.163891836605493 |
128 | 0.8005780758732 | 0.3988438482536 | 0.1994219241268 |
129 | 0.751632574910053 | 0.496734850179895 | 0.248367425089947 |
130 | 0.69537209097326 | 0.609255818053479 | 0.304627909026739 |
131 | 0.653620531136643 | 0.692758937726714 | 0.346379468863357 |
132 | 0.60924488760075 | 0.7815102247985 | 0.39075511239925 |
133 | 0.582829806719693 | 0.834340386560614 | 0.417170193280307 |
134 | 0.596543847745902 | 0.806912304508195 | 0.403456152254098 |
135 | 0.78716354454136 | 0.425672910917281 | 0.212836455458641 |
136 | 0.783955757432298 | 0.432088485135404 | 0.216044242567702 |
137 | 0.777858625542718 | 0.444282748914564 | 0.222141374457282 |
138 | 0.757413243663845 | 0.48517351267231 | 0.242586756336155 |
139 | 0.728954267476286 | 0.542091465047429 | 0.271045732523714 |
140 | 0.747000417709115 | 0.505999164581769 | 0.252999582290885 |
141 | 0.715194201797544 | 0.569611596404912 | 0.284805798202456 |
142 | 0.94528008581827 | 0.109439828363459 | 0.0547199141817295 |
143 | 0.912933135250857 | 0.174133729498285 | 0.0870668647491426 |
144 | 0.953827591507468 | 0.092344816985064 | 0.046172408492532 |
145 | 0.938589611278607 | 0.122820777442786 | 0.061410388721393 |
146 | 0.889152536164159 | 0.221694927671682 | 0.110847463835841 |
147 | 0.816843481501102 | 0.366313036997796 | 0.183156518498898 |
148 | 0.706793627938016 | 0.586412744123967 | 0.293206372061984 |
149 | 0.555601391166321 | 0.888797217667359 | 0.444398608833679 |
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 | 4 | 0.0285714285714286 | OK |