Multiple Linear Regression - Estimated Regression Equation |
Learning[t] = + 12.8466322963478 -0.519508200233652Gender[t] + 0.0150227529352552Concern[t] -0.274396434721787Doubts[t] + 0.0644169575826978Criticism[t] + 0.0264468826309861Standards[t] + 0.171915898709033Organization[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) | 12.8466322963478 | 1.421693 | 9.0362 | 0 | 0 |
Gender | -0.519508200233652 | 0.379011 | -1.3707 | 0.172618 | 0.086309 |
Concern | 0.0150227529352552 | 0.037152 | 0.4044 | 0.68655 | 0.343275 |
Doubts | -0.274396434721787 | 0.070116 | -3.9135 | 0.00014 | 7e-05 |
Criticism | 0.0644169575826978 | 0.068865 | 0.9354 | 0.351153 | 0.175576 |
Standards | 0.0264468826309861 | 0.049381 | 0.5356 | 0.593086 | 0.296543 |
Organization | 0.171915898709033 | 0.051742 | 3.3225 | 0.001133 | 0.000566 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.450207146949892 |
R-squared | 0.202686475164762 |
Adjusted R-squared | 0.169232760836011 |
F-TEST (value) | 6.05871363559073 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 143 |
p-value | 1.12911825665973e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.07168736145602 |
Sum Squared Residuals | 613.740058877174 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 16.1132272391654 | -3.11322723916539 |
2 | 16 | 15.8511748228445 | 0.148825177155521 |
3 | 19 | 15.6426872869456 | 3.35731271305438 |
4 | 15 | 13.8967245693292 | 1.10327543067083 |
5 | 14 | 14.8164714987041 | -0.816471498704096 |
6 | 13 | 15.3498564830057 | -2.34985648300574 |
7 | 19 | 14.4023936516995 | 4.59760634830050 |
8 | 15 | 16.2778523879167 | -1.27785238791669 |
9 | 14 | 15.9025553027541 | -1.90255530275406 |
10 | 15 | 14.4372761148735 | 0.562723885126455 |
11 | 16 | 14.8200903277742 | 1.17990967222578 |
12 | 16 | 14.9957342681843 | 1.00426573181569 |
13 | 16 | 14.7236621210262 | 1.27633787897381 |
14 | 17 | 17.0622800952334 | -0.0622800952334465 |
15 | 15 | 12.3759346482417 | 2.62406535175826 |
16 | 15 | 15.3566002198894 | -0.356600219889425 |
17 | 20 | 16.6574903917417 | 3.34250960825834 |
18 | 18 | 16.0726533052912 | 1.92734669470876 |
19 | 16 | 16.6025754878873 | -0.602575487887315 |
20 | 16 | 13.9670798207309 | 2.03292017926906 |
21 | 19 | 15.3344137345336 | 3.66558626546645 |
22 | 16 | 14.6761300029262 | 1.32386999707378 |
23 | 17 | 15.4104993306352 | 1.58950066936483 |
24 | 17 | 15.0787321794649 | 1.92126782053511 |
25 | 16 | 14.4398683409763 | 1.56013165902365 |
26 | 15 | 13.1943284692334 | 1.80567153076660 |
27 | 14 | 15.3812589525083 | -1.38125895250827 |
28 | 15 | 15.8582237802245 | -0.85822378022446 |
29 | 12 | 14.5069695922397 | -2.50696959223973 |
30 | 14 | 15.1026984528118 | -1.10269845281183 |
31 | 16 | 15.6228655982590 | 0.377134401741045 |
32 | 14 | 15.3246675013818 | -1.32466750138178 |
33 | 7 | 14.3708393679703 | -7.37083936797029 |
34 | 10 | 13.3193004167425 | -3.31930041674249 |
35 | 14 | 14.2766685332454 | -0.276668533245414 |
36 | 16 | 16.9054092726749 | -0.905409272674915 |
37 | 16 | 14.1822535050184 | 1.81774649498165 |
38 | 16 | 13.1343996677592 | 2.86560033224082 |
39 | 14 | 15.6689011809964 | -1.66890118099636 |
40 | 20 | 17.1951902176704 | 2.80480978232955 |
41 | 14 | 14.5818796725194 | -0.581879672519363 |
42 | 14 | 15.3725651706667 | -1.37256517066666 |
43 | 11 | 14.5517323011494 | -3.55173230114944 |
44 | 15 | 15.4836097406597 | -0.483609740659719 |
45 | 16 | 15.5548500174367 | 0.445149982563266 |
46 | 14 | 15.0406350869764 | -1.04063508697640 |
47 | 16 | 14.2259703593387 | 1.77402964066126 |
48 | 14 | 14.7911890136018 | -0.791189013601796 |
49 | 12 | 14.9826238539759 | -2.98262385397585 |
50 | 16 | 15.2976764344992 | 0.702323565500791 |
51 | 9 | 13.3058767143725 | -4.3058767143725 |
52 | 14 | 14.4630092807491 | -0.463009280749088 |
53 | 16 | 15.8341040280580 | 0.16589597194198 |
54 | 16 | 15.1661480864629 | 0.833851913537109 |
55 | 15 | 14.6801849527143 | 0.319815047285719 |
56 | 16 | 15.2924442057987 | 0.707555794201252 |
57 | 12 | 13.5301062791087 | -1.53010627910873 |
58 | 16 | 15.5911393670224 | 0.408860632977633 |
59 | 16 | 16.3613431796166 | -0.361343179616587 |
60 | 14 | 16.6221460569512 | -2.62214605695119 |
61 | 16 | 13.0506182989839 | 2.94938170101611 |
62 | 17 | 16.0438382600420 | 0.956161739958021 |
63 | 18 | 14.6909501371965 | 3.30904986280346 |
64 | 18 | 15.4289742089588 | 2.57102579104119 |
65 | 12 | 15.0016851338993 | -3.00168513389928 |
66 | 16 | 15.6253182526312 | 0.374681747368784 |
67 | 10 | 14.082065204359 | -4.082065204359 |
68 | 14 | 12.5772507134545 | 1.42274928654548 |
69 | 18 | 16.0901389784441 | 1.90986102155590 |
70 | 18 | 16.2397665003502 | 1.76023349964985 |
71 | 16 | 15.0458460581933 | 0.954153941806678 |
72 | 16 | 15.6198603716663 | 0.38013962833366 |
73 | 16 | 14.6537603792198 | 1.34623962078022 |
74 | 13 | 14.7136783918005 | -1.71367839180047 |
75 | 16 | 15.2290601207143 | 0.770939879285746 |
76 | 16 | 14.6018789544887 | 1.3981210455113 |
77 | 20 | 15.9842718656095 | 4.01572813439047 |
78 | 16 | 15.3108730158702 | 0.689126984129812 |
79 | 15 | 12.4456023606307 | 2.55439763936933 |
80 | 15 | 15.7486007833534 | -0.748600783353391 |
81 | 16 | 15.9780280218944 | 0.0219719781055923 |
82 | 14 | 13.8355211027793 | 0.164478897220684 |
83 | 15 | 13.4093643730382 | 1.59063562696179 |
84 | 12 | 14.9343337421162 | -2.93433374211618 |
85 | 17 | 16.7650702644504 | 0.234929735549553 |
86 | 16 | 15.6031317672753 | 0.396868232724656 |
87 | 15 | 13.3415088959138 | 1.65849110408616 |
88 | 13 | 14.0729301694969 | -1.07293016949692 |
89 | 16 | 15.569773707747 | 0.430226292253006 |
90 | 16 | 15.3878590203629 | 0.612140979637064 |
91 | 16 | 16.2058373533114 | -0.205837353311379 |
92 | 16 | 15.8208066068929 | 0.179193393107128 |
93 | 14 | 15.1309167354651 | -1.13091673546512 |
94 | 16 | 14.1529688358084 | 1.84703116419157 |
95 | 16 | 14.2645003168789 | 1.73549968312107 |
96 | 20 | 16.3832390878971 | 3.61676091210293 |
97 | 15 | 15.4521140970786 | -0.452114097078607 |
98 | 16 | 14.2813028578053 | 1.71869714219474 |
99 | 13 | 13.6617315972799 | -0.66173159727986 |
100 | 17 | 16.2610414849693 | 0.7389585150307 |
101 | 16 | 14.3401084155771 | 1.65989158442288 |
102 | 12 | 12.9285109546839 | -0.928510954683935 |
103 | 16 | 14.8398196512641 | 1.16018034873588 |
104 | 16 | 15.3302691498733 | 0.669730850126732 |
105 | 17 | 15.3500964843352 | 1.64990351566477 |
106 | 13 | 12.6859084929629 | 0.314091507037111 |
107 | 12 | 15.9035742540845 | -3.90357425408455 |
108 | 18 | 15.5131194383785 | 2.48688056162153 |
109 | 14 | 14.1184983214712 | -0.118498321471246 |
110 | 14 | 14.6181299748476 | -0.618129974847617 |
111 | 13 | 13.8771986874648 | -0.877198687464781 |
112 | 16 | 15.5933865857765 | 0.406613414223484 |
113 | 13 | 12.7310713068999 | 0.268928693100056 |
114 | 16 | 15.0391901790127 | 0.960809820987319 |
115 | 13 | 15.1221406550671 | -2.12214065506711 |
116 | 16 | 16.1679663409847 | -0.167966340984661 |
117 | 15 | 14.6939710621260 | 0.306028937873954 |
118 | 16 | 15.8056921276484 | 0.194307872351554 |
119 | 15 | 14.5120285064589 | 0.487971493541146 |
120 | 17 | 15.8422829298316 | 1.15771707016835 |
121 | 15 | 16.2758336502491 | -1.27583365024908 |
122 | 12 | 13.6897601426519 | -1.68976014265193 |
123 | 16 | 14.2748748240866 | 1.72512517591337 |
124 | 10 | 14.2974021505662 | -4.29740215056615 |
125 | 16 | 14.7705294194450 | 1.22947058055496 |
126 | 14 | 14.3793416353615 | -0.379341635361508 |
127 | 15 | 16.5913787876252 | -1.59137878762517 |
128 | 13 | 14.1498208933421 | -1.14982089334215 |
129 | 15 | 14.6340042390997 | 0.365995760900317 |
130 | 11 | 13.9717434494744 | -2.97174344947439 |
131 | 12 | 14.2457041903224 | -2.24570419032235 |
132 | 8 | 14.1487084385333 | -6.14870843853331 |
133 | 16 | 16.4471268481276 | -0.447126848127603 |
134 | 15 | 14.9897656185287 | 0.010234381471306 |
135 | 17 | 15.8200067229749 | 1.17999327702509 |
136 | 16 | 14.7300790505303 | 1.26992094946971 |
137 | 10 | 15.1978366114683 | -5.19783661146835 |
138 | 18 | 13.6595482484207 | 4.34045175157931 |
139 | 13 | 14.0407839427234 | -1.0407839427234 |
140 | 15 | 14.5965699722997 | 0.40343002770027 |
141 | 16 | 14.4398683409763 | 1.56013165902365 |
142 | 16 | 15.1569184964695 | 0.843081503530482 |
143 | 14 | 13.9345648964196 | 0.0654351035804267 |
144 | 10 | 13.6079695566325 | -3.60796955663248 |
145 | 17 | 16.7650702644504 | 0.234929735549553 |
146 | 13 | 14.9913678998657 | -1.99136789986574 |
147 | 15 | 16.2758336502491 | -1.27583365024908 |
148 | 16 | 15.8952757577186 | 0.104724242281385 |
149 | 12 | 15.5796022535339 | -3.57960225353393 |
150 | 13 | 13.6965565585874 | -0.696556558587408 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.926722612064215 | 0.146554775871571 | 0.0732773879357853 |
11 | 0.86290060490997 | 0.27419879018006 | 0.13709939509003 |
12 | 0.786665019958027 | 0.426669960083945 | 0.213334980041973 |
13 | 0.732174179097525 | 0.535651641804949 | 0.267825820902475 |
14 | 0.644180079347572 | 0.711639841304855 | 0.355819920652428 |
15 | 0.551146469529026 | 0.897707060941949 | 0.448853530470974 |
16 | 0.481833210934455 | 0.96366642186891 | 0.518166789065545 |
17 | 0.462899434672878 | 0.925798869345756 | 0.537100565327122 |
18 | 0.467152336178339 | 0.934304672356679 | 0.532847663821661 |
19 | 0.379718261611043 | 0.759436523222086 | 0.620281738388957 |
20 | 0.370575842591019 | 0.741151685182037 | 0.629424157408981 |
21 | 0.465754051461915 | 0.931508102923831 | 0.534245948538085 |
22 | 0.458652190258959 | 0.917304380517918 | 0.541347809741041 |
23 | 0.398431380352901 | 0.796862760705802 | 0.601568619647099 |
24 | 0.344082689936246 | 0.688165379872492 | 0.655917310063754 |
25 | 0.284687622115640 | 0.569375244231281 | 0.71531237788436 |
26 | 0.246342491821716 | 0.492684983643431 | 0.753657508178284 |
27 | 0.200899134618214 | 0.401798269236427 | 0.799100865381786 |
28 | 0.262934986187427 | 0.525869972374854 | 0.737065013812573 |
29 | 0.359240732796154 | 0.718481465592308 | 0.640759267203846 |
30 | 0.312664552427836 | 0.625329104855672 | 0.687335447572164 |
31 | 0.270973330854787 | 0.541946661709574 | 0.729026669145213 |
32 | 0.227422580167568 | 0.454845160335135 | 0.772577419832432 |
33 | 0.90355491626924 | 0.19289016746152 | 0.09644508373076 |
34 | 0.94348261881205 | 0.113034762375899 | 0.0565173811879493 |
35 | 0.925614393705486 | 0.148771212589028 | 0.0743856062945139 |
36 | 0.90559457493546 | 0.188810850129082 | 0.0944054250645408 |
37 | 0.895091371174956 | 0.209817257650089 | 0.104908628825045 |
38 | 0.916645286557642 | 0.166709426884717 | 0.0833547134423583 |
39 | 0.913585195768623 | 0.172829608462755 | 0.0864148042313775 |
40 | 0.958747291865244 | 0.0825054162695115 | 0.0412527081347558 |
41 | 0.947617417231267 | 0.104765165537466 | 0.0523825827687332 |
42 | 0.943544534028032 | 0.112910931943936 | 0.056455465971968 |
43 | 0.964785948015577 | 0.0704281039688454 | 0.0352140519844227 |
44 | 0.953760167330882 | 0.0924796653382354 | 0.0462398326691177 |
45 | 0.940604746833143 | 0.118790506333714 | 0.0593952531668571 |
46 | 0.928526433670357 | 0.142947132659286 | 0.071473566329643 |
47 | 0.918939762889635 | 0.16212047422073 | 0.081060237110365 |
48 | 0.899590065566925 | 0.200819868866150 | 0.100409934433075 |
49 | 0.918904402811708 | 0.162191194376583 | 0.0810955971882915 |
50 | 0.899801986091366 | 0.200396027817268 | 0.100198013908634 |
51 | 0.944438073681694 | 0.111123852636612 | 0.0555619263183061 |
52 | 0.929360721388514 | 0.141278557222972 | 0.070639278611486 |
53 | 0.911240281275085 | 0.177519437449829 | 0.0887597187249147 |
54 | 0.896025059469128 | 0.207949881061745 | 0.103974940530872 |
55 | 0.876057578197265 | 0.247884843605469 | 0.123942421802735 |
56 | 0.851982208567923 | 0.296035582864153 | 0.148017791432077 |
57 | 0.837472051166126 | 0.325055897667747 | 0.162527948833874 |
58 | 0.809724920207143 | 0.380550159585715 | 0.190275079792857 |
59 | 0.774788955308651 | 0.450422089382698 | 0.225211044691349 |
60 | 0.797541177298233 | 0.404917645403535 | 0.202458822701767 |
61 | 0.819799023526583 | 0.360401952946833 | 0.180200976473417 |
62 | 0.79295616155855 | 0.414087676882899 | 0.207043838441450 |
63 | 0.840224208490346 | 0.319551583019308 | 0.159775791509654 |
64 | 0.858579430601645 | 0.282841138796711 | 0.141420569398355 |
65 | 0.89122935408129 | 0.217541291837421 | 0.108770645918711 |
66 | 0.868158139161899 | 0.263683721676202 | 0.131841860838101 |
67 | 0.925958123283653 | 0.148083753432695 | 0.0740418767163473 |
68 | 0.915982351180543 | 0.168035297638914 | 0.0840176488194568 |
69 | 0.914361791800735 | 0.171276416398531 | 0.0856382081992654 |
70 | 0.911104446025693 | 0.177791107948615 | 0.0888955539743075 |
71 | 0.894466983533374 | 0.211066032933252 | 0.105533016466626 |
72 | 0.871312811902193 | 0.257374376195613 | 0.128687188097807 |
73 | 0.859022115337794 | 0.281955769324411 | 0.140977884662206 |
74 | 0.850579024403875 | 0.298841951192249 | 0.149420975596125 |
75 | 0.824285635212585 | 0.35142872957483 | 0.175714364787415 |
76 | 0.805269797147896 | 0.389460405704208 | 0.194730202852104 |
77 | 0.884723845033498 | 0.230552309933003 | 0.115276154966502 |
78 | 0.863192172594901 | 0.273615654810198 | 0.136807827405099 |
79 | 0.873242169321752 | 0.253515661356496 | 0.126757830678248 |
80 | 0.849462929624987 | 0.301074140750026 | 0.150537070375013 |
81 | 0.81961398624815 | 0.360772027503702 | 0.180386013751851 |
82 | 0.789418917031828 | 0.421162165936343 | 0.210581082968172 |
83 | 0.78113989491289 | 0.43772021017422 | 0.21886010508711 |
84 | 0.815291968496896 | 0.369416063006209 | 0.184708031503104 |
85 | 0.781075788807611 | 0.437848422384778 | 0.218924211192389 |
86 | 0.745032201117412 | 0.509935597765177 | 0.254967798882588 |
87 | 0.732793207817668 | 0.534413584364663 | 0.267206792182332 |
88 | 0.700924588241739 | 0.598150823516523 | 0.299075411758262 |
89 | 0.657524709897595 | 0.684950580204809 | 0.342475290102405 |
90 | 0.61683839564979 | 0.766323208700421 | 0.383161604350211 |
91 | 0.568548641520535 | 0.86290271695893 | 0.431451358479465 |
92 | 0.519305710555407 | 0.961388578889186 | 0.480694289444593 |
93 | 0.490190788147677 | 0.980381576295353 | 0.509809211852323 |
94 | 0.51073715149231 | 0.97852569701538 | 0.48926284850769 |
95 | 0.499983059086244 | 0.999966118172487 | 0.500016940913756 |
96 | 0.610598776792069 | 0.778802446415861 | 0.389401223207931 |
97 | 0.561466215366656 | 0.877067569266687 | 0.438533784633344 |
98 | 0.585287143656545 | 0.82942571268691 | 0.414712856343455 |
99 | 0.542797555747814 | 0.914404888504373 | 0.457202444252186 |
100 | 0.520547873616498 | 0.958904252767004 | 0.479452126383502 |
101 | 0.510181642161424 | 0.979636715677151 | 0.489818357838576 |
102 | 0.472565336451383 | 0.945130672902767 | 0.527434663548617 |
103 | 0.439617033571312 | 0.879234067142624 | 0.560382966428688 |
104 | 0.43134962078847 | 0.86269924157694 | 0.56865037921153 |
105 | 0.447382906757489 | 0.894765813514977 | 0.552617093242511 |
106 | 0.395254537956243 | 0.790509075912486 | 0.604745462043757 |
107 | 0.5194731570465 | 0.961053685907 | 0.4805268429535 |
108 | 0.547171229898434 | 0.905657540203131 | 0.452828770101566 |
109 | 0.533162289543140 | 0.933675420913719 | 0.466837710456859 |
110 | 0.483450995712807 | 0.966901991425615 | 0.516549004287193 |
111 | 0.43110622901917 | 0.86221245803834 | 0.56889377098083 |
112 | 0.380993519326153 | 0.761987038652305 | 0.619006480673847 |
113 | 0.34658775979444 | 0.69317551958888 | 0.65341224020556 |
114 | 0.331839043234735 | 0.66367808646947 | 0.668160956765265 |
115 | 0.321423569080533 | 0.642847138161066 | 0.678576430919467 |
116 | 0.269647223732303 | 0.539294447464606 | 0.730352776267697 |
117 | 0.253439157084959 | 0.506878314169917 | 0.746560842915041 |
118 | 0.265905982858297 | 0.531811965716594 | 0.734094017141703 |
119 | 0.218468479224313 | 0.436936958448626 | 0.781531520775687 |
120 | 0.194093656422748 | 0.388187312845496 | 0.805906343577252 |
121 | 0.163743904536326 | 0.327487809072652 | 0.836256095463674 |
122 | 0.141365397687321 | 0.282730795374642 | 0.85863460231268 |
123 | 0.128961719173221 | 0.257923438346443 | 0.871038280826779 |
124 | 0.180250098025394 | 0.360500196050788 | 0.819749901974606 |
125 | 0.142908650765724 | 0.285817301531448 | 0.857091349234276 |
126 | 0.112975668937071 | 0.225951337874142 | 0.887024331062929 |
127 | 0.0859688923087947 | 0.171937784617589 | 0.914031107691205 |
128 | 0.0667789885957007 | 0.133557977191401 | 0.9332210114043 |
129 | 0.0460130125818058 | 0.0920260251636115 | 0.953986987418194 |
130 | 0.0371307831473585 | 0.074261566294717 | 0.962869216852641 |
131 | 0.0274085518919564 | 0.0548171037839129 | 0.972591448108044 |
132 | 0.212367842227788 | 0.424735684455577 | 0.787632157772212 |
133 | 0.157020889264583 | 0.314041778529166 | 0.842979110735417 |
134 | 0.108701816843205 | 0.217403633686409 | 0.891298183156795 |
135 | 0.146095768943771 | 0.292191537887542 | 0.853904231056229 |
136 | 0.133478151438437 | 0.266956302876874 | 0.866521848561563 |
137 | 0.156107263766905 | 0.312214527533809 | 0.843892736233095 |
138 | 0.474053558702569 | 0.948107117405139 | 0.525946441297431 |
139 | 0.421386145776767 | 0.842772291553534 | 0.578613854223233 |
140 | 0.352668640130936 | 0.705337280261872 | 0.647331359869064 |
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 | 6 | 0.0458015267175573 | OK |