Multiple Linear Regression - Estimated Regression Equation |
neat[t] = + 3.11496151267241 -0.356877549090113pop[t] -0.00119421517556332t -0.00179540754477218pop_t[t] -0.00219470236971442standards[t] -0.0349340132681798standards_t[t] + 0.304511079436016organization[t] -0.00263513485222802organization_t[t] -0.097552907943736punished[t] -0.0910536869962877punished_t[t] -0.00449692769033478secondrate[t] + 0.00189629269507846secondrate_t[t] -0.145120416918951mistakes[t] + 0.186359455031474mistakes_t[t] + 0.0261586753641117competent[t] + 0.0520976377859459competent_t[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) | 3.11496151267241 | 0.707599 | 4.4022 | 2.1e-05 | 1e-05 |
pop | -0.356877549090113 | 0.94367 | -0.3782 | 0.705857 | 0.352929 |
t | -0.00119421517556332 | 0.002018 | -0.5916 | 0.555026 | 0.277513 |
pop_t | -0.00179540754477218 | 0.00278 | -0.6458 | 0.519433 | 0.259716 |
standards | -0.00219470236971442 | 0.091643 | -0.0239 | 0.980927 | 0.490464 |
standards_t | -0.0349340132681798 | 0.136461 | -0.256 | 0.798318 | 0.399159 |
organization | 0.304511079436016 | 0.102162 | 2.9807 | 0.003381 | 0.001691 |
organization_t | -0.00263513485222802 | 0.15028 | -0.0175 | 0.986034 | 0.493017 |
punished | -0.097552907943736 | 0.100025 | -0.9753 | 0.331066 | 0.165533 |
punished_t | -0.0910536869962877 | 0.16336 | -0.5574 | 0.578139 | 0.28907 |
secondrate | -0.00449692769033478 | 0.085287 | -0.0527 | 0.958023 | 0.479012 |
secondrate_t | 0.00189629269507846 | 0.131187 | 0.0145 | 0.988487 | 0.494244 |
mistakes | -0.145120416918951 | 0.101501 | -1.4297 | 0.154972 | 0.077486 |
mistakes_t | 0.186359455031474 | 0.147917 | 1.2599 | 0.209761 | 0.10488 |
competent | 0.0261586753641117 | 0.103439 | 0.2529 | 0.800716 | 0.400358 |
competent_t | 0.0520976377859459 | 0.163981 | 0.3177 | 0.751171 | 0.375586 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.457606458303133 |
R-squared | 0.209403670680737 |
Adjusted R-squared | 0.126473985787108 |
F-TEST (value) | 2.52507495897678 |
F-TEST (DF numerator) | 15 |
F-TEST (DF denominator) | 143 |
p-value | 0.00239273837122178 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.743455096513655 |
Sum Squared Residuals | 79.0397437160943 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 4 | 4.09261014167862 | -0.0926101416786193 |
2 | 4 | 3.7824079193767 | 0.217592080623298 |
3 | 4 | 3.89424792331913 | 0.105752076680872 |
4 | 4 | 3.88181641059697 | 0.118183589403027 |
5 | 4 | 3.13331687300164 | 0.866683126998361 |
6 | 5 | 4.30010591652713 | 0.699894083472868 |
7 | 4 | 4.47554081772749 | -0.475540817727494 |
8 | 3 | 3.69340529037304 | -0.693405290373043 |
9 | 4 | 3.61695997595131 | 0.383040024048686 |
10 | 4 | 3.96770709979699 | 0.0322929002030065 |
11 | 4 | 3.38044479848406 | 0.619555201515939 |
12 | 4 | 3.30217462092856 | 0.697825379071441 |
13 | 4 | 3.25968651592025 | 0.740313484079747 |
14 | 2 | 3.52355980129 | -1.52355980129 |
15 | 3 | 3.87353740836969 | -0.87353740836969 |
16 | 4 | 4.23417192120177 | -0.234171921201767 |
17 | 3 | 3.76679691706387 | -0.766796917063873 |
18 | 2 | 3.25388053689734 | -1.25388053689734 |
19 | 4 | 3.85172667038463 | 0.148273329615367 |
20 | 3 | 3.61589915224852 | -0.615899152248517 |
21 | 3 | 4.02504242741884 | -1.02504242741884 |
22 | 4 | 3.68504278780727 | 0.314957212192732 |
23 | 3 | 3.21977292318718 | -0.219772923187180 |
24 | 3 | 3.83266823430833 | -0.832668234308326 |
25 | 4 | 4.15455734128611 | -0.154557341286109 |
26 | 4 | 3.72319867505964 | 0.276801324940358 |
27 | 4 | 3.74684129987627 | 0.253158700123725 |
28 | 4 | 3.87711921937785 | 0.122880780622150 |
29 | 4 | 3.55745672948609 | 0.442543270513907 |
30 | 4 | 3.73787243171527 | 0.262127568284731 |
31 | 5 | 3.85651714497949 | 1.14348285502051 |
32 | 4 | 3.43455743762434 | 0.56544256237566 |
33 | 4 | 3.5175747247347 | 0.482425275265298 |
34 | 4 | 3.73969610606834 | 0.260303893931659 |
35 | 3 | 3.76676399122137 | -0.76676399122137 |
36 | 4 | 4.21540007275691 | -0.215400072756913 |
37 | 3 | 4.04923877542472 | -1.04923877542472 |
38 | 4 | 3.5188044205352 | 0.481195579464798 |
39 | 4 | 3.57224718825465 | 0.427752811745349 |
40 | 3 | 3.70537556951666 | -0.705375569516657 |
41 | 5 | 4.21622814989005 | 0.783771850109948 |
42 | 4 | 4.02498766914298 | -0.0249876691429773 |
43 | 3 | 3.58222406068394 | -0.582224060683942 |
44 | 3 | 4.32261339053753 | -1.32261339053753 |
45 | 3 | 3.76728552218602 | -0.767285522186025 |
46 | 4 | 4.25997970898001 | -0.259979708980013 |
47 | 4 | 3.53583491947042 | 0.464165080529581 |
48 | 4 | 4.01997829212459 | -0.0199782921245865 |
49 | 4 | 3.87600467368542 | 0.123995326314582 |
50 | 4 | 3.65885843163691 | 0.341141568363095 |
51 | 4 | 3.93124342333415 | 0.0687565766658503 |
52 | 4 | 3.87242202815873 | 0.127577971841272 |
53 | 5 | 3.7459691754186 | 1.25403082458140 |
54 | 3 | 3.24546762284602 | -0.245467622846023 |
55 | 3 | 2.85347314859140 | 0.146526851408597 |
56 | 5 | 3.99914690120823 | 1.00085309879177 |
57 | 5 | 3.86184650163967 | 1.13815349836033 |
58 | 4 | 3.96280964504908 | 0.037190354950916 |
59 | 4 | 4.13754558987472 | -0.137545589874722 |
60 | 3 | 3.36530886441046 | -0.36530886441046 |
61 | 4 | 3.98268910012718 | 0.0173108998728226 |
62 | 4 | 3.82670077712993 | 0.173299222870073 |
63 | 5 | 4.26573905334671 | 0.734260946653288 |
64 | 4 | 3.78885044425007 | 0.211149555749933 |
65 | 4 | 3.93048616582574 | 0.0695138341742564 |
66 | 5 | 4.25316255243935 | 0.746837447560647 |
67 | 4 | 3.51047311539589 | 0.48952688460411 |
68 | 3 | 3.64933057875426 | -0.649330578754259 |
69 | 4 | 4.11285063266188 | -0.112850632661879 |
70 | 4 | 3.69254495417764 | 0.307455045822363 |
71 | 4 | 3.64496847070046 | 0.355031529299540 |
72 | 4 | 3.87777293867225 | 0.122227061327754 |
73 | 4 | 4.04980475327384 | -0.0498047532738431 |
74 | 4 | 4.01795493504383 | -0.0179549350438333 |
75 | 4 | 3.86137568077618 | 0.138624319223821 |
76 | 3 | 3.84815026868464 | -0.848150268684637 |
77 | 4 | 3.82309547443742 | 0.176904525562582 |
78 | 3 | 3.70503925578767 | -0.705039255787672 |
79 | 5 | 4.14688400022425 | 0.853115999775751 |
80 | 4 | 3.54975289258123 | 0.450247107418774 |
81 | 5 | 3.84745558302426 | 1.15254441697574 |
82 | 5 | 3.4819618450973 | 1.51803815490270 |
83 | 4 | 3.76553982808261 | 0.234460171917386 |
84 | 4 | 3.66526000201734 | 0.334739997982659 |
85 | 4 | 3.71681185705005 | 0.283188142949953 |
86 | 4 | 3.67820320617119 | 0.321796793828810 |
87 | 4 | 3.92806988200684 | 0.071930117993158 |
88 | 5 | 4.0931765166134 | 0.906823483386601 |
89 | 4 | 3.62863332308508 | 0.371366676914922 |
90 | 3 | 3.97435697077599 | -0.974356970775987 |
91 | 4 | 3.55810608077006 | 0.441893919229941 |
92 | 3 | 4.35456548250055 | -1.35456548250055 |
93 | 4 | 3.51051428196616 | 0.489485718033844 |
94 | 4 | 3.47299657860318 | 0.527003421396817 |
95 | 4 | 3.88060630486221 | 0.119393695137786 |
96 | 4 | 3.58362449062356 | 0.416375509376438 |
97 | 4 | 3.76858942333895 | 0.231410576661049 |
98 | 3 | 3.56801565220917 | -0.568015652209173 |
99 | 3 | 3.33643743459474 | -0.336437434594737 |
100 | 3 | 3.93625614365624 | -0.936256143656242 |
101 | 3 | 3.25874631048137 | -0.258746310481367 |
102 | 3 | 3.63146019016171 | -0.631460190161706 |
103 | 2 | 3.57103843171203 | -1.57103843171203 |
104 | 3 | 3.59349841668149 | -0.593498416681486 |
105 | 5 | 4.05902012724104 | 0.940979872758956 |
106 | 2 | 3.30877261302954 | -1.30877261302954 |
107 | 2 | 3.46914451973253 | -1.46914451973253 |
108 | 3 | 3.00131048061677 | -0.00131048061677235 |
109 | 3 | 3.27184660375622 | -0.271846603756217 |
110 | 3 | 3.91213122857843 | -0.912131228578426 |
111 | 4 | 3.57334341363444 | 0.426656586365564 |
112 | 4 | 3.5752014448728 | 0.424798555127196 |
113 | 3 | 3.44508656576661 | -0.445086565766608 |
114 | 2 | 3.71130096925346 | -1.71130096925346 |
115 | 3 | 3.60347273295005 | -0.603472732950051 |
116 | 4 | 3.91265177315689 | 0.0873482268431055 |
117 | 2 | 2.87402336587850 | -0.874023365878504 |
118 | 4 | 2.75225582416076 | 1.24774417583924 |
119 | 4 | 3.66200639802809 | 0.337993601971911 |
120 | 2 | 3.19751472346182 | -1.19751472346182 |
121 | 3 | 4.03039228058693 | -1.03039228058693 |
122 | 3 | 3.12242423434371 | -0.122424234343707 |
123 | 3 | 3.00388305984289 | -0.00388305984289303 |
124 | 4 | 4.12149769505773 | -0.121497695057726 |
125 | 4 | 3.76056197260699 | 0.239438027393013 |
126 | 4 | 3.44438649498625 | 0.555613505013755 |
127 | 3 | 3.99037668410939 | -0.990376684109385 |
128 | 4 | 3.40376180761023 | 0.596238192389774 |
129 | 4 | 3.84955946689936 | 0.150440533100644 |
130 | 4 | 3.51727791343214 | 0.482722086567864 |
131 | 2 | 2.94283736244231 | -0.942837362442314 |
132 | 4 | 3.75292084111927 | 0.247079158880735 |
133 | 5 | 3.46723653015113 | 1.53276346984887 |
134 | 4 | 3.98651410557078 | 0.0134858944292235 |
135 | 4 | 3.72537422259818 | 0.274625777401822 |
136 | 4 | 3.42097242335971 | 0.579027576640294 |
137 | 3 | 3.56834497148300 | -0.568344971482995 |
138 | 1 | 3.45883285102681 | -2.45883285102681 |
139 | 4 | 3.21928663778405 | 0.780713362215954 |
140 | 3 | 2.82027740340042 | 0.179722596599585 |
141 | 3 | 2.95640729309603 | 0.0435927069039695 |
142 | 3 | 3.59139107119343 | -0.591391071193428 |
143 | 1 | 2.39835293598855 | -1.39835293598855 |
144 | 4 | 3.62128106469557 | 0.378718935304433 |
145 | 5 | 3.35479910176125 | 1.64520089823875 |
146 | 4 | 3.46684331491151 | 0.533156685088488 |
147 | 3 | 3.19899502264492 | -0.198995022644922 |
148 | 4 | 3.11579738405755 | 0.88420261594245 |
149 | 3 | 2.89401843120861 | 0.105981568791393 |
150 | 4 | 3.55128926968538 | 0.448710730314619 |
151 | 4 | 3.55965153251611 | 0.440348467483887 |
152 | 4 | 3.37313845983434 | 0.626861540165663 |
153 | 5 | 3.83002940745649 | 1.16997059254351 |
154 | 2 | 2.87635824201131 | -0.876358242011313 |
155 | 3 | 3.2172869906969 | -0.217286990696899 |
156 | 3 | 3.72425967690575 | -0.724259676905746 |
157 | 4 | 3.47357537502061 | 0.526424624979388 |
158 | 4 | 3.54623247597121 | 0.453767524028791 |
159 | 3 | 2.89796899679350 | 0.102031003206495 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
19 | 0.688810285599301 | 0.622379428801398 | 0.311189714400699 |
20 | 0.53665000980077 | 0.92669998039846 | 0.46334999019923 |
21 | 0.571779371008939 | 0.856441257982122 | 0.428220628991061 |
22 | 0.500041805366778 | 0.999916389266444 | 0.499958194633222 |
23 | 0.383825777536627 | 0.767651555073255 | 0.616174222463373 |
24 | 0.296712463334224 | 0.593424926668448 | 0.703287536665776 |
25 | 0.237055919310422 | 0.474111838620843 | 0.762944080689578 |
26 | 0.165618908778514 | 0.331237817557027 | 0.834381091221487 |
27 | 0.179344098981817 | 0.358688197963635 | 0.820655901018183 |
28 | 0.259775620552964 | 0.519551241105928 | 0.740224379447036 |
29 | 0.228592402969909 | 0.457184805939818 | 0.771407597030091 |
30 | 0.182264790183305 | 0.364529580366610 | 0.817735209816695 |
31 | 0.236091967024009 | 0.472183934048018 | 0.763908032975991 |
32 | 0.19793901421533 | 0.39587802843066 | 0.80206098578467 |
33 | 0.149816160917861 | 0.299632321835723 | 0.850183839082139 |
34 | 0.181396250910027 | 0.362792501820054 | 0.818603749089973 |
35 | 0.174341143311333 | 0.348682286622665 | 0.825658856688667 |
36 | 0.157011463075871 | 0.314022926151741 | 0.84298853692413 |
37 | 0.133684753977950 | 0.267369507955899 | 0.86631524602205 |
38 | 0.105739637100127 | 0.211479274200253 | 0.894260362899873 |
39 | 0.0851512003114216 | 0.170302400622843 | 0.914848799688578 |
40 | 0.067799576326132 | 0.135599152652264 | 0.932200423673868 |
41 | 0.0772378928545589 | 0.154475785709118 | 0.922762107145441 |
42 | 0.0607748356288532 | 0.121549671257706 | 0.939225164371147 |
43 | 0.0514775017104059 | 0.102955003420812 | 0.948522498289594 |
44 | 0.124441615139296 | 0.248883230278592 | 0.875558384860704 |
45 | 0.116352989010445 | 0.23270597802089 | 0.883647010989555 |
46 | 0.120116285274518 | 0.240232570549037 | 0.879883714725482 |
47 | 0.104803317392661 | 0.209606634785321 | 0.89519668260734 |
48 | 0.157347992627088 | 0.314695985254177 | 0.842652007372912 |
49 | 0.124097620076251 | 0.248195240152502 | 0.875902379923749 |
50 | 0.099065552579197 | 0.198131105158394 | 0.900934447420803 |
51 | 0.116669988043768 | 0.233339976087536 | 0.883330011956232 |
52 | 0.0906337493251017 | 0.181267498650203 | 0.909366250674898 |
53 | 0.197712733890752 | 0.395425467781503 | 0.802287266109248 |
54 | 0.162817448473642 | 0.325634896947284 | 0.837182551526358 |
55 | 0.135192717359469 | 0.270385434718938 | 0.86480728264053 |
56 | 0.157052979452233 | 0.314105958904467 | 0.842947020547767 |
57 | 0.156980385671720 | 0.313960771343439 | 0.84301961432828 |
58 | 0.129932650060821 | 0.259865300121642 | 0.870067349939179 |
59 | 0.105951894533688 | 0.211903789067375 | 0.894048105466312 |
60 | 0.111516943623101 | 0.223033887246201 | 0.8884830563769 |
61 | 0.0885562875228908 | 0.177112575045782 | 0.91144371247711 |
62 | 0.0695443021157695 | 0.139088604231539 | 0.93045569788423 |
63 | 0.0599284299276211 | 0.119856859855242 | 0.940071570072379 |
64 | 0.0465783714261573 | 0.0931567428523147 | 0.953421628573843 |
65 | 0.0358460229230423 | 0.0716920458460845 | 0.964153977076958 |
66 | 0.0317165175445349 | 0.0634330350890698 | 0.968283482455465 |
67 | 0.0262712363095948 | 0.0525424726191897 | 0.973728763690405 |
68 | 0.0348467162810974 | 0.0696934325621949 | 0.965153283718903 |
69 | 0.0267983609755968 | 0.0535967219511936 | 0.973201639024403 |
70 | 0.0200900450281039 | 0.0401800900562078 | 0.979909954971896 |
71 | 0.0160891528564017 | 0.0321783057128034 | 0.983910847143598 |
72 | 0.0115760714881669 | 0.0231521429763339 | 0.988423928511833 |
73 | 0.00828148423986424 | 0.0165629684797285 | 0.991718515760136 |
74 | 0.00579456709094377 | 0.0115891341818875 | 0.994205432909056 |
75 | 0.00407942266744451 | 0.00815884533488901 | 0.995920577332555 |
76 | 0.00680931112227688 | 0.0136186222445538 | 0.993190688877723 |
77 | 0.00474187952338261 | 0.00948375904676521 | 0.995258120476617 |
78 | 0.00632556976807038 | 0.0126511395361408 | 0.99367443023193 |
79 | 0.0068989915018417 | 0.0137979830036834 | 0.993101008498158 |
80 | 0.00516747831162209 | 0.0103349566232442 | 0.994832521688378 |
81 | 0.0103784501437841 | 0.0207569002875681 | 0.989621549856216 |
82 | 0.024712721803048 | 0.049425443606096 | 0.975287278196952 |
83 | 0.0184014559254127 | 0.0368029118508253 | 0.981598544074587 |
84 | 0.0154747623898859 | 0.0309495247797717 | 0.984525237610114 |
85 | 0.0113313275102850 | 0.0226626550205700 | 0.988668672489715 |
86 | 0.00816618684423331 | 0.0163323736884666 | 0.991833813155767 |
87 | 0.00876875679390655 | 0.0175375135878131 | 0.991231243206093 |
88 | 0.00898115710939697 | 0.0179623142187939 | 0.991018842890603 |
89 | 0.00798536914732766 | 0.0159707382946553 | 0.992014630852672 |
90 | 0.0117145299696363 | 0.0234290599392725 | 0.988285470030364 |
91 | 0.0101288651648281 | 0.0202577303296561 | 0.989871134835172 |
92 | 0.0211005588734730 | 0.0422011177469461 | 0.978899441126527 |
93 | 0.0166231072241462 | 0.0332462144482925 | 0.983376892775854 |
94 | 0.0167079474140525 | 0.033415894828105 | 0.983292052585948 |
95 | 0.0159775376058822 | 0.0319550752117645 | 0.984022462394118 |
96 | 0.0163235240356599 | 0.0326470480713198 | 0.98367647596434 |
97 | 0.0124173442319826 | 0.0248346884639652 | 0.987582655768017 |
98 | 0.0134317447148488 | 0.0268634894296976 | 0.986568255285151 |
99 | 0.0125488393830563 | 0.0250976787661126 | 0.987451160616944 |
100 | 0.0151218620552065 | 0.0302437241104131 | 0.984878137944793 |
101 | 0.0130623221818863 | 0.0261246443637726 | 0.986937677818114 |
102 | 0.0118083835462027 | 0.0236167670924055 | 0.988191616453797 |
103 | 0.0217678771417948 | 0.0435357542835895 | 0.978232122858205 |
104 | 0.0185774440960065 | 0.0371548881920131 | 0.981422555903993 |
105 | 0.0285728536075276 | 0.0571457072150552 | 0.971427146392472 |
106 | 0.0512573819736756 | 0.102514763947351 | 0.948742618026324 |
107 | 0.0881847922506544 | 0.176369584501309 | 0.911815207749346 |
108 | 0.0737090169615705 | 0.147418033923141 | 0.92629098303843 |
109 | 0.0566484339344937 | 0.113296867868987 | 0.943351566065506 |
110 | 0.0893981677246236 | 0.178796335449247 | 0.910601832275376 |
111 | 0.076667345083677 | 0.153334690167354 | 0.923332654916323 |
112 | 0.107501190350290 | 0.215002380700579 | 0.89249880964971 |
113 | 0.108218762091783 | 0.216437524183566 | 0.891781237908217 |
114 | 0.138453906246183 | 0.276907812492366 | 0.861546093753817 |
115 | 0.127463760686962 | 0.254927521373925 | 0.872536239313037 |
116 | 0.102651353276611 | 0.205302706553222 | 0.897348646723389 |
117 | 0.101181979160620 | 0.202363958321240 | 0.89881802083938 |
118 | 0.150694568929070 | 0.301389137858139 | 0.84930543107093 |
119 | 0.125332738868268 | 0.250665477736536 | 0.874667261131732 |
120 | 0.337302602038988 | 0.674605204077976 | 0.662697397961012 |
121 | 0.384563301757937 | 0.769126603515875 | 0.615436698242062 |
122 | 0.324315286975513 | 0.648630573951026 | 0.675684713024487 |
123 | 0.270045355763848 | 0.540090711527695 | 0.729954644236152 |
124 | 0.250653857573879 | 0.501307715147758 | 0.749346142426121 |
125 | 0.207281454132853 | 0.414562908265705 | 0.792718545867147 |
126 | 0.194903673919933 | 0.389807347839866 | 0.805096326080067 |
127 | 0.256317113257478 | 0.512634226514956 | 0.743682886742522 |
128 | 0.270960357499881 | 0.541920714999761 | 0.72903964250012 |
129 | 0.260662438648222 | 0.521324877296445 | 0.739337561351778 |
130 | 0.242091742516809 | 0.484183485033619 | 0.75790825748319 |
131 | 0.233570852418518 | 0.467141704837036 | 0.766429147581482 |
132 | 0.194969188547223 | 0.389938377094446 | 0.805030811452777 |
133 | 0.262106704526266 | 0.524213409052533 | 0.737893295473734 |
134 | 0.199013306434898 | 0.398026612869797 | 0.800986693565102 |
135 | 0.230475258378342 | 0.460950516756685 | 0.769524741621658 |
136 | 0.434114315686867 | 0.868228631373734 | 0.565885684313133 |
137 | 0.326741428980826 | 0.653482857961652 | 0.673258571019174 |
138 | 0.278394160965991 | 0.556788321931981 | 0.721605839034009 |
139 | 0.308092156331025 | 0.616184312662049 | 0.691907843668975 |
140 | 0.313951991529305 | 0.62790398305861 | 0.686048008470695 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 2 | 0.0163934426229508 | NOK |
5% type I error level | 35 | 0.286885245901639 | NOK |
10% type I error level | 42 | 0.344262295081967 | NOK |