Multiple Linear Regression - Estimated Regression Equation |
Learning[t] = + 3.88263978819414 + 0.133224418621852Connected[t] -0.0240005165179656Separate[t] + 0.543359174843957Software[t] + 0.108110123166281Happiness[t] -0.0297355463320415Depression[t] + 0.0466081525620708Belonging[t] -0.0650571238143475`Belongfinal\r`[t] -0.00452987958814858t + 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) | 3.88263978819414 | 2.683792 | 1.4467 | 0.15011 | 0.075055 |
Connected | 0.133224418621852 | 0.04782 | 2.786 | 0.006041 | 0.003021 |
Separate | -0.0240005165179656 | 0.045101 | -0.5321 | 0.595427 | 0.297714 |
Software | 0.543359174843957 | 0.070891 | 7.6647 | 0 | 0 |
Happiness | 0.108110123166281 | 0.078736 | 1.3731 | 0.171819 | 0.08591 |
Depression | -0.0297355463320415 | 0.059321 | -0.5013 | 0.616933 | 0.308466 |
Belonging | 0.0466081525620708 | 0.044483 | 1.0478 | 0.29646 | 0.14823 |
`Belongfinal\r` | -0.0650571238143475 | 0.06318 | -1.0297 | 0.304837 | 0.152419 |
t | -0.00452987958814858 | 0.003414 | -1.3267 | 0.186664 | 0.093332 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.624074693164474 |
R-squared | 0.389469222648332 |
Adjusted R-squared | 0.3562430578945 |
F-TEST (value) | 11.7217628195686 |
F-TEST (DF numerator) | 8 |
F-TEST (DF denominator) | 147 |
p-value | 8.02025112989213e-13 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.81548697211879 |
Sum Squared Residuals | 484.510963052157 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 19 | 15.7726345306107 | 3.22736546938932 |
2 | 15 | 16.8735239680676 | -1.87352396806755 |
3 | 14 | 16.1911503419364 | -2.19115034193645 |
4 | 15 | 12.8615837008518 | 2.13841629914817 |
5 | 16 | 15.6468556502733 | 0.353144349726668 |
6 | 16 | 16.5419952395499 | -0.541995239549932 |
7 | 16 | 15.6191656168445 | 0.380834383155508 |
8 | 16 | 15.7905038478323 | 0.209496152167723 |
9 | 17 | 17.7561536623289 | -0.756153662328927 |
10 | 15 | 15.2872759082095 | -0.287275908209481 |
11 | 15 | 14.9597503491649 | 0.0402496508351323 |
12 | 20 | 16.5983134348733 | 3.4016865651267 |
13 | 18 | 15.6162009239931 | 2.38379907600693 |
14 | 16 | 15.4925045464774 | 0.507495453522615 |
15 | 16 | 15.409436253839 | 0.590563746160974 |
16 | 16 | 14.7961674107018 | 1.20383258929825 |
17 | 19 | 16.6797041275584 | 2.32029587244162 |
18 | 16 | 14.8553030153907 | 1.14469698460925 |
19 | 17 | 15.2506522134586 | 1.74934778654141 |
20 | 17 | 16.9262346815231 | 0.0737653184768799 |
21 | 16 | 15.3245992892489 | 0.675400710751062 |
22 | 15 | 16.3193551967256 | -1.31935519672556 |
23 | 16 | 15.816370952264 | 0.183629047736029 |
24 | 14 | 14.0080096409082 | -0.00800964090824583 |
25 | 15 | 15.750640603127 | -0.750640603127039 |
26 | 12 | 12.2701326505284 | -0.270132650528419 |
27 | 14 | 15.4314514031017 | -1.43145140310173 |
28 | 16 | 15.6142853469126 | 0.38571465308736 |
29 | 14 | 15.9247818272713 | -1.92478182727135 |
30 | 7 | 12.9599649593437 | -5.95996495934368 |
31 | 10 | 11.0293409101373 | -1.02934091013735 |
32 | 14 | 16.0386035641945 | -2.03860356419447 |
33 | 16 | 14.3763461679653 | 1.62365383203466 |
34 | 16 | 14.6246927017301 | 1.37530729826986 |
35 | 16 | 15.1944373599356 | 0.805562640064429 |
36 | 14 | 15.9240497255343 | -1.92404972553431 |
37 | 20 | 18.02176599763 | 1.97823400237001 |
38 | 14 | 14.3028106432857 | -0.302810643285712 |
39 | 14 | 14.9838734727465 | -0.983873472746453 |
40 | 11 | 15.6807587878349 | -4.68075878783487 |
41 | 14 | 16.4731972845047 | -2.4731972845047 |
42 | 15 | 15.0472686062228 | -0.0472686062227904 |
43 | 16 | 15.6573083201281 | 0.34269167987195 |
44 | 14 | 16.1445280255174 | -2.14452802551743 |
45 | 16 | 16.5626654667373 | -0.562665466737307 |
46 | 14 | 14.2687283207034 | -0.268728320703362 |
47 | 12 | 14.844381447617 | -2.84438144761698 |
48 | 16 | 15.1245870391299 | 0.875412960870087 |
49 | 9 | 11.4371240523559 | -2.43712405235587 |
50 | 14 | 12.8269478852368 | 1.17305211476316 |
51 | 16 | 16.416293378259 | -0.416293378258996 |
52 | 16 | 14.9592656781228 | 1.04073432187724 |
53 | 15 | 15.2896968153567 | -0.28969681535673 |
54 | 16 | 14.2348577673704 | 1.76514223262957 |
55 | 12 | 11.4203029133262 | 0.579697086673766 |
56 | 16 | 16.1056491962158 | -0.105649196215811 |
57 | 16 | 16.4147192289776 | -0.414719228977641 |
58 | 14 | 14.3908937651759 | -0.390893765175922 |
59 | 16 | 15.5263461093629 | 0.473653890637083 |
60 | 17 | 15.7442151865497 | 1.25578481345026 |
61 | 18 | 16.1968525094688 | 1.80314749053119 |
62 | 18 | 14.6030047723367 | 3.39699522766327 |
63 | 12 | 16.0525317894448 | -4.05253178944479 |
64 | 16 | 15.5767906587061 | 0.423209341293874 |
65 | 10 | 13.5207927225386 | -3.52079272253859 |
66 | 14 | 14.4322399364128 | -0.432239936412804 |
67 | 18 | 16.6673845521626 | 1.33261544783738 |
68 | 18 | 17.198117112792 | 0.801882887208002 |
69 | 16 | 15.712573697903 | 0.287426302096969 |
70 | 17 | 14.2047168570818 | 2.79528314291818 |
71 | 16 | 16.5823963350891 | -0.582396335089074 |
72 | 16 | 14.5724299946855 | 1.42757000531446 |
73 | 13 | 14.8247690589245 | -1.82476905892449 |
74 | 16 | 15.8567951764737 | 0.14320482352629 |
75 | 16 | 15.5795733318702 | 0.420426668129804 |
76 | 20 | 16.9066139831504 | 3.09338601684964 |
77 | 16 | 15.5646248894015 | 0.435375110598499 |
78 | 15 | 16.1647799500519 | -1.16477995005191 |
79 | 15 | 14.7069928864499 | 0.293007113550118 |
80 | 16 | 14.2643535220625 | 1.73564647793749 |
81 | 14 | 14.3355904942668 | -0.335590494266777 |
82 | 16 | 15.2521665079274 | 0.747833492072554 |
83 | 16 | 14.4518150506235 | 1.54818494937652 |
84 | 15 | 14.1945319685325 | 0.805468031467546 |
85 | 12 | 13.5148484125092 | -1.51484841250919 |
86 | 17 | 17.0008738667439 | -0.000873866743868138 |
87 | 16 | 15.5189736336781 | 0.481026366321936 |
88 | 15 | 15.3621225123092 | -0.362122512309208 |
89 | 13 | 14.9223267710037 | -1.9223267710037 |
90 | 16 | 15.3139144520052 | 0.686085547994831 |
91 | 16 | 15.8634343689724 | 0.136565631027569 |
92 | 16 | 14.104220998445 | 1.89577900155502 |
93 | 16 | 16.2582565106349 | -0.258256510634869 |
94 | 14 | 14.1634739400314 | -0.163473940031436 |
95 | 16 | 17.4130046416971 | -1.41300464169714 |
96 | 16 | 14.8103849839634 | 1.18961501603664 |
97 | 20 | 17.453346994131 | 2.54665300586903 |
98 | 15 | 14.212688659306 | 0.787311340693961 |
99 | 16 | 14.6417606418822 | 1.35823935811778 |
100 | 13 | 15.4209501698262 | -2.42095016982625 |
101 | 17 | 16.0551476138713 | 0.944852386128721 |
102 | 16 | 16.1246888016974 | -0.12468880169737 |
103 | 16 | 14.3540972953168 | 1.64590270468323 |
104 | 12 | 12.4953842650381 | -0.495384265038104 |
105 | 16 | 14.9474511686432 | 1.05254883135684 |
106 | 16 | 15.6771089334607 | 0.322891066539253 |
107 | 17 | 14.2557700213908 | 2.74422997860925 |
108 | 13 | 14.9645180315122 | -1.96451803151219 |
109 | 12 | 15.0094510253748 | -3.00945102537481 |
110 | 18 | 16.6019893324206 | 1.39801066757939 |
111 | 14 | 15.3470768088413 | -1.34707680884128 |
112 | 14 | 12.8188130990226 | 1.18118690097745 |
113 | 13 | 14.633587188329 | -1.63358718832904 |
114 | 16 | 15.7691533764009 | 0.230846623599136 |
115 | 13 | 14.0682846976901 | -1.06828469769007 |
116 | 16 | 15.5496220351694 | 0.45037796483057 |
117 | 13 | 15.9290634678292 | -2.92906346782925 |
118 | 16 | 16.8407285582148 | -0.840728558214761 |
119 | 15 | 15.8290285958674 | -0.829028595867366 |
120 | 16 | 16.5300816170987 | -0.530081617098664 |
121 | 15 | 15.4124315481128 | -0.412431548112759 |
122 | 17 | 16.3598061491527 | 0.640193850847327 |
123 | 15 | 13.802318518196 | 1.19768148180397 |
124 | 12 | 14.8970865310347 | -2.89708653103468 |
125 | 16 | 13.8762811621352 | 2.12371883786484 |
126 | 10 | 13.1032263745864 | -3.10322637458637 |
127 | 16 | 14.0156725489535 | 1.98432745104646 |
128 | 12 | 13.75967354792 | -1.75967354791997 |
129 | 14 | 15.5570801664193 | -1.55708016641925 |
130 | 15 | 15.0685372266819 | -0.0685372266818683 |
131 | 13 | 12.2569794354294 | 0.743020564570612 |
132 | 15 | 14.2524172477434 | 0.747582752256562 |
133 | 11 | 12.8237555503028 | -1.82375555030279 |
134 | 12 | 13.1445440615283 | -1.14454406152826 |
135 | 8 | 13.0485030121101 | -5.0485030121101 |
136 | 16 | 12.7548649338982 | 3.24513506610183 |
137 | 15 | 13.2436296779523 | 1.75637032204774 |
138 | 17 | 16.2816072347369 | 0.718392765263142 |
139 | 16 | 14.6689078894184 | 1.3310921105816 |
140 | 10 | 14.1529455066654 | -4.15294550666536 |
141 | 18 | 15.7802336792699 | 2.21976632073013 |
142 | 13 | 14.818735161836 | -1.81873516183602 |
143 | 16 | 14.7475567040969 | 1.25244329590306 |
144 | 13 | 12.8331909940452 | 0.166809005954806 |
145 | 10 | 13.0424300555416 | -3.0424300555416 |
146 | 15 | 16.5166396588951 | -1.51663965889514 |
147 | 16 | 13.8285694769831 | 2.17143052301692 |
148 | 16 | 11.6329756244247 | 4.36702437557527 |
149 | 14 | 12.2279201494193 | 1.77207985058068 |
150 | 10 | 12.3901354036824 | -2.39013540368239 |
151 | 17 | 16.7064316935142 | 0.29356830648579 |
152 | 13 | 11.3451657030391 | 1.65483429696088 |
153 | 15 | 13.6664221305516 | 1.33357786944843 |
154 | 16 | 14.6585861443264 | 1.34141385567365 |
155 | 12 | 12.3748554370684 | -0.374855437068425 |
156 | 13 | 12.3414613008627 | 0.658538699137293 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
12 | 0.0695708590246271 | 0.139141718049254 | 0.930429140975373 |
13 | 0.0642259085362428 | 0.128451817072486 | 0.935774091463757 |
14 | 0.0279408208694656 | 0.0558816417389312 | 0.972059179130534 |
15 | 0.010119046598592 | 0.0202380931971839 | 0.989880953401408 |
16 | 0.00357698541488477 | 0.00715397082976955 | 0.996423014585115 |
17 | 0.00224708408391813 | 0.00449416816783626 | 0.997752915916082 |
18 | 0.0296684528391822 | 0.0593369056783644 | 0.970331547160818 |
19 | 0.030700690650593 | 0.061401381301186 | 0.969299309349407 |
20 | 0.0172324665094256 | 0.0344649330188511 | 0.982767533490574 |
21 | 0.00914769210332496 | 0.0182953842066499 | 0.990852307896675 |
22 | 0.0568601563994883 | 0.113720312798977 | 0.943139843600512 |
23 | 0.0367385965772429 | 0.0734771931544858 | 0.963261403422757 |
24 | 0.0427418494532433 | 0.0854836989064866 | 0.957258150546757 |
25 | 0.0278352039122631 | 0.0556704078245262 | 0.972164796087737 |
26 | 0.0168502524218134 | 0.0337005048436268 | 0.983149747578187 |
27 | 0.0457946014794783 | 0.0915892029589566 | 0.954205398520522 |
28 | 0.0325939476523492 | 0.0651878953046984 | 0.967406052347651 |
29 | 0.0268931535963585 | 0.053786307192717 | 0.973106846403642 |
30 | 0.412319686805541 | 0.824639373611082 | 0.587680313194459 |
31 | 0.351601041359083 | 0.703202082718167 | 0.648398958640917 |
32 | 0.354085699697549 | 0.708171399395098 | 0.645914300302451 |
33 | 0.494849119410583 | 0.989698238821165 | 0.505150880589417 |
34 | 0.508155018941243 | 0.983689962117514 | 0.491844981058757 |
35 | 0.460876417794483 | 0.921752835588967 | 0.539123582205517 |
36 | 0.456392666771262 | 0.912785333542525 | 0.543607333228738 |
37 | 0.473815199104068 | 0.947630398208137 | 0.526184800895932 |
38 | 0.415863422126671 | 0.831726844253342 | 0.584136577873329 |
39 | 0.377928852681457 | 0.755857705362913 | 0.622071147318543 |
40 | 0.638049651813927 | 0.723900696372146 | 0.361950348186073 |
41 | 0.678477209031292 | 0.643045581937416 | 0.321522790968708 |
42 | 0.642849491164709 | 0.714301017670582 | 0.357150508835291 |
43 | 0.602075027665302 | 0.795849944669396 | 0.397924972334698 |
44 | 0.590084118144084 | 0.819831763711831 | 0.409915881855916 |
45 | 0.548633197501527 | 0.902733604996946 | 0.451366802498473 |
46 | 0.502502827259488 | 0.994994345481024 | 0.497497172740512 |
47 | 0.518602895335821 | 0.962794209328358 | 0.481397104664179 |
48 | 0.474660025503733 | 0.949320051007466 | 0.525339974496267 |
49 | 0.48289993602209 | 0.96579987204418 | 0.51710006397791 |
50 | 0.448387790674535 | 0.89677558134907 | 0.551612209325465 |
51 | 0.399243752788273 | 0.798487505576545 | 0.600756247211727 |
52 | 0.434570207111679 | 0.869140414223358 | 0.565429792888321 |
53 | 0.405954883058085 | 0.811909766116171 | 0.594045116941915 |
54 | 0.424826147892187 | 0.849652295784373 | 0.575173852107813 |
55 | 0.399487449253745 | 0.79897489850749 | 0.600512550746255 |
56 | 0.357784265017702 | 0.715568530035404 | 0.642215734982298 |
57 | 0.333157097550378 | 0.666314195100757 | 0.666842902449622 |
58 | 0.29156559522076 | 0.583131190441519 | 0.70843440477924 |
59 | 0.255260450377287 | 0.510520900754574 | 0.744739549622713 |
60 | 0.256303581356461 | 0.512607162712923 | 0.743696418643539 |
61 | 0.24720436211629 | 0.49440872423258 | 0.75279563788371 |
62 | 0.43793144607381 | 0.875862892147619 | 0.56206855392619 |
63 | 0.609362276060886 | 0.781275447878228 | 0.390637723939114 |
64 | 0.566258444218932 | 0.867483111562137 | 0.433741555781068 |
65 | 0.704820805838053 | 0.590358388323893 | 0.295179194161947 |
66 | 0.664660816172202 | 0.670678367655597 | 0.335339183827798 |
67 | 0.654438334318344 | 0.691123331363311 | 0.345561665681656 |
68 | 0.632099526718792 | 0.735800946562416 | 0.367900473281208 |
69 | 0.586375457948348 | 0.827249084103303 | 0.413624542051652 |
70 | 0.618066761111529 | 0.763866477776941 | 0.381933238888471 |
71 | 0.576235077520965 | 0.847529844958071 | 0.423764922479035 |
72 | 0.55124889601033 | 0.89750220797934 | 0.44875110398967 |
73 | 0.555722309855561 | 0.888555380288878 | 0.444277690144439 |
74 | 0.508838715128202 | 0.982322569743597 | 0.491161284871798 |
75 | 0.470430392859726 | 0.940860785719452 | 0.529569607140274 |
76 | 0.592216250587577 | 0.815567498824845 | 0.407783749412423 |
77 | 0.553213226701935 | 0.89357354659613 | 0.446786773298065 |
78 | 0.526213909171053 | 0.947572181657894 | 0.473786090828947 |
79 | 0.481839335139523 | 0.963678670279046 | 0.518160664860477 |
80 | 0.473211775872192 | 0.946423551744384 | 0.526788224127808 |
81 | 0.4268568655749 | 0.853713731149799 | 0.5731431344251 |
82 | 0.386849990297256 | 0.773699980594512 | 0.613150009702744 |
83 | 0.37006220839211 | 0.740124416784219 | 0.62993779160789 |
84 | 0.333434475870169 | 0.666868951740337 | 0.666565524129831 |
85 | 0.320944178991468 | 0.641888357982936 | 0.679055821008532 |
86 | 0.28640626811964 | 0.572812536239279 | 0.71359373188036 |
87 | 0.249850845463498 | 0.499701690926995 | 0.750149154536502 |
88 | 0.215711741056781 | 0.431423482113562 | 0.784288258943219 |
89 | 0.22940058415371 | 0.45880116830742 | 0.77059941584629 |
90 | 0.198465331799751 | 0.396930663599502 | 0.801534668200249 |
91 | 0.167901352706741 | 0.335802705413483 | 0.832098647293259 |
92 | 0.166779867800274 | 0.333559735600548 | 0.833220132199726 |
93 | 0.138707632285599 | 0.277415264571198 | 0.861292367714401 |
94 | 0.11697443821715 | 0.2339488764343 | 0.88302556178285 |
95 | 0.106003387028124 | 0.212006774056248 | 0.893996612971876 |
96 | 0.0938923494252482 | 0.187784698850496 | 0.906107650574752 |
97 | 0.119716159586633 | 0.239432319173265 | 0.880283840413367 |
98 | 0.0996028043118972 | 0.199205608623794 | 0.900397195688103 |
99 | 0.0948100306240562 | 0.189620061248112 | 0.905189969375944 |
100 | 0.110088712518627 | 0.220177425037253 | 0.889911287481373 |
101 | 0.0960694574412286 | 0.192138914882457 | 0.903930542558771 |
102 | 0.0839242862742629 | 0.167848572548526 | 0.916075713725737 |
103 | 0.0830856149927147 | 0.166171229985429 | 0.916914385007285 |
104 | 0.0825037892356716 | 0.165007578471343 | 0.917496210764328 |
105 | 0.0739222935001289 | 0.147844587000258 | 0.926077706499871 |
106 | 0.0613552171362394 | 0.122710434272479 | 0.938644782863761 |
107 | 0.094897342151046 | 0.189794684302092 | 0.905102657848954 |
108 | 0.0889341199893325 | 0.177868239978665 | 0.911065880010667 |
109 | 0.107380541819093 | 0.214761083638187 | 0.892619458180907 |
110 | 0.113314956136152 | 0.226629912272304 | 0.886685043863848 |
111 | 0.0942830651930478 | 0.188566130386096 | 0.905716934806952 |
112 | 0.0972311136999041 | 0.194462227399808 | 0.902768886300096 |
113 | 0.0862189524107729 | 0.172437904821546 | 0.913781047589227 |
114 | 0.0980850742010263 | 0.196170148402053 | 0.901914925798974 |
115 | 0.0778391175913873 | 0.155678235182775 | 0.922160882408613 |
116 | 0.0675568140439355 | 0.135113628087871 | 0.932443185956065 |
117 | 0.0665546268661208 | 0.133109253732242 | 0.933445373133879 |
118 | 0.0505099522160788 | 0.101019904432158 | 0.949490047783921 |
119 | 0.0378303753081921 | 0.0756607506163841 | 0.962169624691808 |
120 | 0.0276650801327929 | 0.0553301602655859 | 0.972334919867207 |
121 | 0.0196313573908553 | 0.0392627147817106 | 0.980368642609145 |
122 | 0.018414953451544 | 0.0368299069030881 | 0.981585046548456 |
123 | 0.0205842288203321 | 0.0411684576406643 | 0.979415771179668 |
124 | 0.0209882765368725 | 0.041976553073745 | 0.979011723463127 |
125 | 0.0242918736454452 | 0.0485837472908903 | 0.975708126354555 |
126 | 0.0257143255421812 | 0.0514286510843624 | 0.974285674457819 |
127 | 0.0569610829548182 | 0.113922165909636 | 0.943038917045182 |
128 | 0.0596412467775625 | 0.119282493555125 | 0.940358753222437 |
129 | 0.0452985518169424 | 0.0905971036338849 | 0.954701448183058 |
130 | 0.0365366165686017 | 0.0730732331372034 | 0.963463383431398 |
131 | 0.0258651499695002 | 0.0517302999390005 | 0.9741348500305 |
132 | 0.0317300468111379 | 0.0634600936222757 | 0.968269953188862 |
133 | 0.026087729970311 | 0.052175459940622 | 0.973912270029689 |
134 | 0.0169399156647557 | 0.0338798313295114 | 0.983060084335244 |
135 | 0.478863203369697 | 0.957726406739393 | 0.521136796630303 |
136 | 0.428493245393801 | 0.856986490787602 | 0.571506754606199 |
137 | 0.359670544230457 | 0.719341088460913 | 0.640329455769543 |
138 | 0.276475881139524 | 0.552951762279048 | 0.723524118860476 |
139 | 0.203333754677304 | 0.406667509354609 | 0.796666245322696 |
140 | 0.251312021405718 | 0.502624042811436 | 0.748687978594282 |
141 | 0.283396714418967 | 0.566793428837934 | 0.716603285581033 |
142 | 0.573714357663413 | 0.852571284673174 | 0.426285642336587 |
143 | 0.585905621441549 | 0.828188757116903 | 0.414094378558451 |
144 | 0.588018003188509 | 0.823963993622982 | 0.411981996811491 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 2 | 0.0150375939849624 | NOK |
5% type I error level | 12 | 0.0902255639097744 | NOK |
10% type I error level | 29 | 0.218045112781955 | NOK |