Multiple Linear Regression - Estimated Regression Equation |
standards[t] = + 2.49017622287169 + 0.053821676528518organization[t] + 0.388162853859228punished[t] + 0.0571215682005039secondrate[t] -0.0518763478238547mistakes[t] -0.0793667772532387competent[t] -0.0329553449719052neat[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) | 2.49017622287169 | 0.553205 | 4.5014 | 1.3e-05 | 7e-06 |
organization | 0.053821676528518 | 0.093352 | 0.5765 | 0.565098 | 0.282549 |
punished | 0.388162853859228 | 0.085654 | 4.5317 | 1.2e-05 | 6e-06 |
secondrate | 0.0571215682005039 | 0.077506 | 0.737 | 0.462259 | 0.23113 |
mistakes | -0.0518763478238547 | 0.08718 | -0.595 | 0.552697 | 0.276348 |
competent | -0.0793667772532387 | 0.096674 | -0.821 | 0.412949 | 0.206474 |
neat | -0.0329553449719052 | 0.100045 | -0.3294 | 0.742303 | 0.371151 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.376181546660612 |
R-squared | 0.14151255604797 |
Adjusted R-squared | 0.107624893786706 |
F-TEST (value) | 4.17593149261663 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 0.000647212556059928 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.912678964976017 |
Sum Squared Residuals | 126.613399752674 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 3.10205748546204 | -1.10205748546204 |
2 | 2 | 3.10535737713409 | -1.10535737713409 |
3 | 4 | 3.0778669477047 | 0.922133052295299 |
4 | 2 | 3.20172414306341 | -1.20172414306341 |
5 | 3 | 3.04220444218252 | -0.0422044421825190 |
6 | 4 | 2.73281563445482 | 1.26718436554518 |
7 | 3 | 2.76052575905008 | 0.239474240949922 |
8 | 3 | 3.46935400776472 | -0.469354007764716 |
9 | 3 | 3.04629048022892 | -0.0462904802289185 |
10 | 2 | 2.87068285740469 | -0.870682857404685 |
11 | 4 | 3.90392829390528 | 0.0960717060947225 |
12 | 4 | 3.04959037190090 | 0.950409628099096 |
13 | 3 | 3.45669854314088 | -0.456698543140882 |
14 | 3 | 3.05507960197223 | -0.0550796019722251 |
15 | 4 | 2.57878516364525 | 1.42121483635475 |
16 | 4 | 2.70340419084957 | 1.29659580915043 |
17 | 3 | 3.08119115390549 | -0.0811911539054871 |
18 | 3 | 3.15999147995018 | -0.159991479950184 |
19 | 3 | 2.99111424073308 | 0.00888575926692188 |
20 | 4 | 3.02931480608163 | 0.970685193918367 |
21 | 2 | 2.80202621607062 | -0.802026216070617 |
22 | 5 | 3.18472415438732 | 1.81527584561268 |
23 | 4 | 3.91249772048271 | 0.087502279517288 |
24 | 2 | 3.07594593352884 | -1.07594593352884 |
25 | 3 | 3.31266738779243 | -0.312667387792432 |
26 | 4 | 3.18472415438732 | 0.815275845612676 |
27 | 4 | 3.10011215675744 | 0.899887843242563 |
28 | 3 | 3.12235736581017 | -0.122357365810171 |
29 | 4 | 3.37403187421566 | 0.625968125784343 |
30 | 4 | 3.10011215675744 | 0.899887843242563 |
31 | 1 | 2.56999604190194 | -1.56999604190194 |
32 | 4 | 3.82980673702869 | 0.170193262971312 |
33 | 5 | 2.71330386586553 | 2.28669613413447 |
34 | 2 | 3.16247894533459 | -1.16247894533459 |
35 | 4 | 3.02406958570498 | 0.975930414295017 |
36 | 3 | 3.13168862423322 | -0.13168862423322 |
37 | 2 | 3.29588709428222 | -1.29588709428222 |
38 | 4 | 3.25360049088726 | 0.746399509112735 |
39 | 5 | 3.10341204842942 | 1.89658795157058 |
40 | 4 | 3.19018906992985 | 0.809810930070154 |
41 | 4 | 2.98449014286031 | 1.01550985713969 |
42 | 4 | 3.15198850458129 | 0.848011495418709 |
43 | 3 | 3.23467948803532 | -0.234679488035315 |
44 | 4 | 3.29588709428222 | 0.704112905717782 |
45 | 2 | 3.13306750172934 | -1.13306750172934 |
46 | 2 | 2.65152784302572 | -0.651527843025719 |
47 | 4 | 3.0979714474157 | 0.9020285525843 |
48 | 2 | 2.74682566204598 | -0.746825662045977 |
49 | 4 | 3.04299058855693 | 0.957009411443068 |
50 | 4 | 2.71524919457019 | 1.28475080542981 |
51 | 1 | 2.82094721892257 | -1.82094721892257 |
52 | 4 | 3.04299058855693 | 0.957009411443068 |
53 | 2 | 3.01003524358503 | -1.01003524358503 |
54 | 1 | 2.71138285168967 | -1.71138285168967 |
55 | 4 | 4.06586013425421 | -0.0658601342542102 |
56 | 3 | 3.12097848831405 | -0.120978488314049 |
57 | 2 | 3.12427837998603 | -1.12427837998603 |
58 | 4 | 2.65482773469770 | 1.34517226530230 |
59 | 3 | 2.81764732725058 | 0.182352672749419 |
60 | 2 | 3.12898146368294 | -1.12898146368294 |
61 | 2 | 3.14868861290931 | -1.14868861290931 |
62 | 3 | 2.76382565072206 | 0.236174349277937 |
63 | 2 | 2.67569406625432 | -0.675694066254317 |
64 | 1 | 3.04823580893358 | -2.04823580893358 |
65 | 3 | 2.73419451195094 | 0.265805488049057 |
66 | 2 | 2.78993720265532 | -0.789937202655325 |
67 | 3 | 3.20172414306341 | -0.20172414306341 |
68 | 3 | 2.75539508862341 | 0.244604911376588 |
69 | 3 | 2.70340419084957 | 0.296595809150427 |
70 | 2 | 3.10011215675744 | -1.10011215675744 |
71 | 3 | 2.60100605816919 | 0.398993941830814 |
72 | 2 | 2.65482773469770 | -0.654827734697704 |
73 | 4 | 3.54209668714518 | 0.457903312854817 |
74 | 4 | 3.67858503259893 | 0.321414967401074 |
75 | 4 | 3.26293174931031 | 0.737068250689687 |
76 | 2 | 3.07594593352884 | -1.07594593352884 |
77 | 3 | 2.71194930289821 | 0.288050697101792 |
78 | 4 | 3.63217360031759 | 0.367826399682408 |
79 | 3 | 3.06385692011355 | -0.0638569201135457 |
80 | 4 | 3.09486693638079 | 0.905133063619212 |
81 | 2 | 3.07434736086684 | -1.07434736086684 |
82 | 3 | 3.11494712156299 | -0.114947121562987 |
83 | 3 | 2.79656130052810 | 0.203438699471904 |
84 | 4 | 3.73994951902215 | 0.260050480977849 |
85 | 2 | 2.8431924279753 | -0.843192427975301 |
86 | 4 | 2.84843764835195 | 1.15156235164805 |
87 | 2 | 2.71194930289821 | -0.711949302898208 |
88 | 2 | 2.67044884587767 | -0.670448845877668 |
89 | 4 | 3.87643786447589 | 0.123562135524106 |
90 | 3 | 3.12782228135269 | -0.127822281352693 |
91 | 4 | 3.04299058855693 | 0.957009411443068 |
92 | 2 | 2.81572631307472 | -0.815726313074717 |
93 | 2 | 2.65812762636969 | -0.65812762636969 |
94 | 3 | 2.60100605816919 | 0.398993941830814 |
95 | 3 | 3.49022033932133 | -0.490220339321328 |
96 | 5 | 3.86138320450447 | 1.13861679549553 |
97 | 2 | 3.92831421229975 | -1.92831421229975 |
98 | 3 | 3.52647557596522 | -0.526475575965219 |
99 | 4 | 3.28655583585917 | 0.71344416414083 |
100 | 3 | 3.20718905860593 | -0.207189058605931 |
101 | 4 | 3.60059713284181 | 0.399402867158191 |
102 | 3 | 2.8190262047467 | 0.180973795253297 |
103 | 3 | 3.44518778453612 | -0.445187784536117 |
104 | 2 | 3.07594593352884 | -1.07594593352884 |
105 | 3 | 3.27971204282053 | -0.279712042820527 |
106 | 2 | 3.30386575512231 | -1.30386575512231 |
107 | 3 | 3.18826805575398 | -0.188268055753982 |
108 | 2 | 3.80174985639076 | -1.80174985639076 |
109 | 4 | 3.57310670341242 | 0.426893296587575 |
110 | 2 | 2.8432167425041 | -0.8432167425041 |
111 | 4 | 2.62325126722192 | 1.37674873277808 |
112 | 4 | 2.99635946110973 | 1.00364053889027 |
113 | 1 | 2.69632819171824 | -1.69632819171824 |
114 | 5 | 3.58906205970824 | 1.41093794029176 |
115 | 2 | 3.05680523551102 | -1.05680523551102 |
116 | 3 | 3.23135528183453 | -0.23135528183453 |
117 | 4 | 3.05837949364421 | 0.94162050635579 |
118 | 1 | 2.62460583018924 | -1.62460583018924 |
119 | 5 | 3.5676417878699 | 1.43235821213010 |
120 | 3 | 2.87752665044333 | 0.122473349556671 |
121 | 3 | 2.79678099569397 | 0.203219004306032 |
122 | 3 | 3.10149103425356 | -0.101491034253559 |
123 | 3 | 3.52453024726056 | -0.524530247260556 |
124 | 2 | 3.01744548783221 | -1.01744548783221 |
125 | 2 | 2.60295138687385 | -0.60295138687385 |
126 | 4 | 3.18277882568266 | 0.817221174317339 |
127 | 4 | 2.93326934114771 | 1.06673065885229 |
128 | 3 | 3.17947893401068 | -0.179478934010675 |
129 | 3 | 2.79131608015145 | 0.208683919848553 |
130 | 3 | 3.04823580893358 | -0.0482358089335819 |
131 | 4 | 3.55748559223246 | 0.442514407767539 |
132 | 3 | 3.12235736581017 | -0.122357365810171 |
133 | 4 | 2.72348437603177 | 1.27651562396823 |
134 | 4 | 2.8431924279753 | 1.15680757202470 |
135 | 2 | 3.20172414306341 | -1.20172414306341 |
136 | 4 | 3.10011215675744 | 0.899887843242563 |
137 | 2 | 2.63396140314109 | -0.633961403141091 |
138 | 4 | 3.08998027564879 | 0.910019724351206 |
139 | 3 | 3.54015135844052 | -0.54015135844052 |
140 | 3 | 3.69275194036640 | -0.692751940366404 |
141 | 2 | 2.9787930212251 | -0.9787930212251 |
142 | 2 | 3.88714800039506 | -1.88714800039506 |
143 | 5 | 4.12243956577497 | 0.877560434225028 |
144 | 2 | 2.70670408252156 | -0.706704082521559 |
145 | 4 | 3.40149798911624 | 0.598502010883758 |
146 | 3 | 3.10535737713409 | -0.105357377134086 |
147 | 3 | 3.05700061614809 | -0.0570006161480889 |
148 | 3 | 3.12895714915414 | -0.128957149154143 |
149 | 3 | 2.62987536509469 | 0.370124634905308 |
150 | 4 | 3.9335594326764 | 0.0664405673236026 |
151 | 4 | 3.23465517350652 | 0.765344826493484 |
152 | 4 | 3.10011215675744 | 0.899887843242563 |
153 | 4 | 3.31358609981437 | 0.686413900185632 |
154 | 4 | 2.69246184883772 | 1.30753815116228 |
155 | 5 | 3.9335837472052 | 1.06641625279480 |
156 | 3 | 3.15531271078208 | -0.155312710782077 |
157 | 3 | 3.0207453795042 | -0.020745379504198 |
158 | 4 | 3.87643786447589 | 0.123562135524106 |
159 | 4 | 3.91055239177805 | 0.0894476082219515 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.557292840048168 | 0.885414319903664 | 0.442707159951832 |
11 | 0.428577993909615 | 0.85715598781923 | 0.571422006090385 |
12 | 0.293484322228889 | 0.586968644457779 | 0.706515677771111 |
13 | 0.297504193536540 | 0.595008387073079 | 0.70249580646346 |
14 | 0.268085050266299 | 0.536170100532599 | 0.7319149497337 |
15 | 0.325623178972869 | 0.651246357945739 | 0.67437682102713 |
16 | 0.251032501687683 | 0.502065003375366 | 0.748967498312317 |
17 | 0.182642131617135 | 0.36528426323427 | 0.817357868382865 |
18 | 0.170586148351033 | 0.341172296702066 | 0.829413851648967 |
19 | 0.137433267355014 | 0.274866534710027 | 0.862566732644986 |
20 | 0.182569190205202 | 0.365138380410405 | 0.817430809794798 |
21 | 0.149663060060346 | 0.299326120120693 | 0.850336939939654 |
22 | 0.576810046779266 | 0.846379906441468 | 0.423189953220734 |
23 | 0.546629107143079 | 0.906741785713842 | 0.453370892856921 |
24 | 0.574844799726146 | 0.850310400547708 | 0.425155200273854 |
25 | 0.517068327163657 | 0.965863345672687 | 0.482931672836343 |
26 | 0.495746398650624 | 0.991492797301247 | 0.504253601349376 |
27 | 0.472956853472589 | 0.945913706945178 | 0.527043146527411 |
28 | 0.406511138230604 | 0.813022276461208 | 0.593488861769396 |
29 | 0.35807148018037 | 0.71614296036074 | 0.64192851981963 |
30 | 0.333560786014326 | 0.667121572028653 | 0.666439213985674 |
31 | 0.620662218776042 | 0.758675562447916 | 0.379337781223958 |
32 | 0.560534843348105 | 0.878930313303791 | 0.439465156651896 |
33 | 0.71067937036125 | 0.578641259277502 | 0.289320629638751 |
34 | 0.770876992956183 | 0.458246014087634 | 0.229123007043817 |
35 | 0.76554496653225 | 0.468910066935500 | 0.234455033467750 |
36 | 0.726645250602488 | 0.546709498795024 | 0.273354749397512 |
37 | 0.747358117478136 | 0.505283765043728 | 0.252641882521864 |
38 | 0.742012056403521 | 0.515975887192957 | 0.257987943596479 |
39 | 0.817999456040336 | 0.364001087919328 | 0.182000543959664 |
40 | 0.80597018934018 | 0.388059621319641 | 0.194029810659820 |
41 | 0.792324258773187 | 0.415351482453625 | 0.207675741226813 |
42 | 0.769936468285233 | 0.460127063429533 | 0.230063531714767 |
43 | 0.729567102296558 | 0.540865795406885 | 0.270432897703442 |
44 | 0.712165696348897 | 0.575668607302207 | 0.287834303651103 |
45 | 0.749615148606466 | 0.500769702787068 | 0.250384851393534 |
46 | 0.730837147045808 | 0.538325705908384 | 0.269162852954192 |
47 | 0.745948826771773 | 0.508102346456455 | 0.254051173228227 |
48 | 0.753026845393788 | 0.493946309212425 | 0.246973154606212 |
49 | 0.740678740792205 | 0.518642518415590 | 0.259321259207795 |
50 | 0.75562320259184 | 0.48875359481632 | 0.24437679740816 |
51 | 0.86902872098857 | 0.26194255802286 | 0.13097127901143 |
52 | 0.862329484521148 | 0.275341030957703 | 0.137670515478852 |
53 | 0.889254524421501 | 0.221490951156997 | 0.110745475578499 |
54 | 0.945105295432481 | 0.109789409135038 | 0.054894704567519 |
55 | 0.934676949790281 | 0.130646100419438 | 0.0653230502097192 |
56 | 0.91884769160323 | 0.162304616793538 | 0.081152308396769 |
57 | 0.93055088417951 | 0.138898231640979 | 0.0694491158204896 |
58 | 0.94411128899862 | 0.111777422002759 | 0.0558887110013795 |
59 | 0.92990643002909 | 0.140187139941819 | 0.0700935699709096 |
60 | 0.936922065715433 | 0.126155868569134 | 0.0630779342845668 |
61 | 0.943989588507928 | 0.112020822984144 | 0.056010411492072 |
62 | 0.930244882926932 | 0.139510234146135 | 0.0697551170730677 |
63 | 0.923234595701038 | 0.153530808597924 | 0.0767654042989621 |
64 | 0.971061167343045 | 0.0578776653139097 | 0.0289388326569549 |
65 | 0.963102046023253 | 0.0737959079534931 | 0.0368979539767465 |
66 | 0.959369986854838 | 0.0812600262903243 | 0.0406300131451621 |
67 | 0.948837180818995 | 0.102325638362011 | 0.0511628191810053 |
68 | 0.936663142217482 | 0.126673715565036 | 0.063336857782518 |
69 | 0.92245917561466 | 0.155081648770679 | 0.0775408243853397 |
70 | 0.92953620627298 | 0.140927587454039 | 0.0704637937270194 |
71 | 0.916512411740356 | 0.166975176519287 | 0.0834875882596436 |
72 | 0.907577725360862 | 0.184844549278275 | 0.0924222746391377 |
73 | 0.892498793067421 | 0.215002413865157 | 0.107501206932579 |
74 | 0.87419102866988 | 0.251617942660240 | 0.125808971330120 |
75 | 0.865367659230335 | 0.269264681539329 | 0.134632340769665 |
76 | 0.874148817193528 | 0.251702365612944 | 0.125851182806472 |
77 | 0.851298527977268 | 0.297402944045463 | 0.148701472022732 |
78 | 0.827113949877847 | 0.345772100244306 | 0.172886050122153 |
79 | 0.795398730585842 | 0.409202538828315 | 0.204601269414158 |
80 | 0.79367606729175 | 0.412647865416499 | 0.206323932708249 |
81 | 0.804731781135991 | 0.390536437728017 | 0.195268218864009 |
82 | 0.771493073656722 | 0.457013852686557 | 0.228506926343278 |
83 | 0.737934279321576 | 0.524131441356847 | 0.262065720678424 |
84 | 0.705153400350395 | 0.589693199299209 | 0.294846599649605 |
85 | 0.699655059105463 | 0.600689881789074 | 0.300344940894537 |
86 | 0.719240247571872 | 0.561519504856256 | 0.280759752428128 |
87 | 0.701998816416791 | 0.596002367166419 | 0.298001183583209 |
88 | 0.680167500488925 | 0.63966499902215 | 0.319832499511075 |
89 | 0.637633446852871 | 0.724733106294258 | 0.362366553147129 |
90 | 0.593214538387648 | 0.813570923224703 | 0.406785461612352 |
91 | 0.597466430325037 | 0.805067139349926 | 0.402533569674963 |
92 | 0.591168660825314 | 0.817662678349372 | 0.408831339174686 |
93 | 0.568413736297199 | 0.863172527405602 | 0.431586263702801 |
94 | 0.532211620064993 | 0.935576759870014 | 0.467788379935007 |
95 | 0.501404778321181 | 0.997190443357638 | 0.498595221678819 |
96 | 0.52441907369883 | 0.95116185260234 | 0.47558092630117 |
97 | 0.689125271041438 | 0.621749457917125 | 0.310874728958562 |
98 | 0.659341242783602 | 0.681317514432796 | 0.340658757216398 |
99 | 0.636023237913308 | 0.727953524173384 | 0.363976762086692 |
100 | 0.59550531664959 | 0.80898936670082 | 0.40449468335041 |
101 | 0.55310986951417 | 0.89378026097166 | 0.44689013048583 |
102 | 0.505187893578115 | 0.98962421284377 | 0.494812106421885 |
103 | 0.470231414527711 | 0.940462829055421 | 0.529768585472289 |
104 | 0.495653391422898 | 0.991306782845795 | 0.504346608577102 |
105 | 0.462239713174687 | 0.924479426349375 | 0.537760286825313 |
106 | 0.517074664820175 | 0.96585067035965 | 0.482925335179825 |
107 | 0.480168136647306 | 0.960336273294612 | 0.519831863352694 |
108 | 0.620936977463203 | 0.758126045073595 | 0.379063022536797 |
109 | 0.577437416563446 | 0.845125166873108 | 0.422562583436554 |
110 | 0.629130096853137 | 0.741739806293725 | 0.370869903146863 |
111 | 0.692160329174684 | 0.615679341650632 | 0.307839670825316 |
112 | 0.741266958245193 | 0.517466083509615 | 0.258733041754807 |
113 | 0.814844502742372 | 0.370310994515256 | 0.185155497257628 |
114 | 0.8502055564086 | 0.299588887182799 | 0.149794443591400 |
115 | 0.869567121948956 | 0.260865756102089 | 0.130432878051044 |
116 | 0.849244100541206 | 0.301511798917589 | 0.150755899458794 |
117 | 0.864669349615623 | 0.270661300768754 | 0.135330650384377 |
118 | 0.919071846452506 | 0.161856307094989 | 0.0809281535474943 |
119 | 0.938772480755107 | 0.122455038489786 | 0.0612275192448929 |
120 | 0.933363772704679 | 0.133272454590642 | 0.066636227295321 |
121 | 0.912020166141083 | 0.175959667717834 | 0.0879798338589172 |
122 | 0.89442248039711 | 0.211155039205781 | 0.105577519602891 |
123 | 0.877495660913396 | 0.245008678173207 | 0.122504339086604 |
124 | 0.875143337704454 | 0.249713324591091 | 0.124856662295546 |
125 | 0.856148402708545 | 0.287703194582910 | 0.143851597291455 |
126 | 0.844607142659802 | 0.310785714680396 | 0.155392857340198 |
127 | 0.835749860022727 | 0.328500279954547 | 0.164250139977273 |
128 | 0.80054599879934 | 0.398908002401321 | 0.199454001200660 |
129 | 0.751699405268847 | 0.496601189462305 | 0.248300594731153 |
130 | 0.695533188042167 | 0.608933623915666 | 0.304466811957833 |
131 | 0.653792371388599 | 0.692415257222802 | 0.346207628611401 |
132 | 0.609579755737935 | 0.780840488524129 | 0.390420244262065 |
133 | 0.582801553440062 | 0.834396893119877 | 0.417198446559938 |
134 | 0.59596902032953 | 0.80806195934094 | 0.40403097967047 |
135 | 0.787494618377667 | 0.425010763244666 | 0.212505381622333 |
136 | 0.782980391057417 | 0.434039217885165 | 0.217019608942583 |
137 | 0.7772347611762 | 0.4455304776476 | 0.2227652388238 |
138 | 0.756201029962479 | 0.487597940075042 | 0.243798970037521 |
139 | 0.725770002051751 | 0.548459995896498 | 0.274229997948249 |
140 | 0.735731289912163 | 0.528537420175673 | 0.264268710087837 |
141 | 0.71484654277179 | 0.570306914456419 | 0.285153457228210 |
142 | 0.943321599484692 | 0.113356801030616 | 0.0566784005153082 |
143 | 0.909160140361217 | 0.181679719277567 | 0.0908398596387835 |
144 | 0.95638129007044 | 0.0872374198591184 | 0.0436187099295592 |
145 | 0.94009078371553 | 0.119818432568939 | 0.0599092162844693 |
146 | 0.889131280269129 | 0.221737439461742 | 0.110868719730871 |
147 | 0.816815294781307 | 0.366369410437387 | 0.183184705218693 |
148 | 0.70675967188751 | 0.586480656224981 | 0.293240328112490 |
149 | 0.555570642768593 | 0.888858714462815 | 0.444429357231407 |
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 |