Multiple Linear Regression - Estimated Regression Equation |
PStress[t] = + 5.22652616884922 -0.0342689806008217BelInSprt[t] + 0.156751517105329KunnenRekRel[t] -0.137087238624758ExtraCurAct[t] -0.0131171061742578Verandvorigjaar[t] + 0.0306992360511323Kritouders[t] -0.060701263441551Verwouders[t] + 0.0651926129660706Populariteit[t] + 0.000472082504175796KenMedeStud[t] + 0.402890559410430Depressie[t] -0.177299512348825Slaapgebrek[t] + 0.215782954579822ToekZorgen[t] -0.0326727049326701PersStand[t] + 0.0520518310861078MateGeorgZijn[t] + 0.0264275257714054Rookgedrag[t] -0.0883024675116791MateAlcoholCon[t] + 0.295536842036837MateGezondGevarEetg[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) | 5.22652616884922 | 2.53035 | 2.0655 | 0.040939 | 0.020469 |
BelInSprt | -0.0342689806008217 | 0.019649 | -1.744 | 0.083609 | 0.041804 |
KunnenRekRel | 0.156751517105329 | 0.115107 | 1.3618 | 0.175713 | 0.087856 |
ExtraCurAct | -0.137087238624758 | 0.138554 | -0.9894 | 0.324372 | 0.162186 |
Verandvorigjaar | -0.0131171061742578 | 0.108761 | -0.1206 | 0.904197 | 0.452099 |
Kritouders | 0.0306992360511323 | 0.083353 | 0.3683 | 0.713269 | 0.356635 |
Verwouders | -0.060701263441551 | 0.06191 | -0.9805 | 0.328746 | 0.164373 |
Populariteit | 0.0651926129660706 | 0.073274 | 0.8897 | 0.37533 | 0.187665 |
KenMedeStud | 0.000472082504175796 | 0.061376 | 0.0077 | 0.993875 | 0.496938 |
Depressie | 0.402890559410430 | 0.066614 | 6.0482 | 0 | 0 |
Slaapgebrek | -0.177299512348825 | 0.099054 | -1.7899 | 0.075887 | 0.037943 |
ToekZorgen | 0.215782954579822 | 0.123795 | 1.7431 | 0.083782 | 0.041891 |
PersStand | -0.0326727049326701 | 0.051558 | -0.6337 | 0.527426 | 0.263713 |
MateGeorgZijn | 0.0520518310861078 | 0.051126 | 1.0181 | 0.310593 | 0.155296 |
Rookgedrag | 0.0264275257714054 | 0.189098 | 0.1398 | 0.889078 | 0.444539 |
MateAlcoholCon | -0.0883024675116791 | 0.270555 | -0.3264 | 0.744686 | 0.372343 |
MateGezondGevarEetg | 0.295536842036837 | 0.346167 | 0.8537 | 0.394882 | 0.197441 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.628535092629106 |
R-squared | 0.395056362666279 |
Adjusted R-squared | 0.317623577087563 |
F-TEST (value) | 5.10192626693862 |
F-TEST (DF numerator) | 16 |
F-TEST (DF denominator) | 125 |
p-value | 4.64995227877907e-08 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.97131675881084 |
Sum Squared Residuals | 485.761220446058 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 10 | 10.2979487964583 | -0.297948796458302 |
2 | 6 | 7.91239867279394 | -1.91239867279394 |
3 | 13 | 10.339098541163 | 2.660901458837 |
4 | 12 | 9.74711678506372 | 2.25288321493628 |
5 | 8 | 12.3608178413918 | -4.36081784139178 |
6 | 6 | 8.94314617595213 | -2.94314617595213 |
7 | 10 | 12.3832569313601 | -2.38325693136006 |
8 | 10 | 9.98916578898839 | 0.0108342110116108 |
9 | 9 | 9.18671490635274 | -0.186714906352737 |
10 | 9 | 10.2562755658211 | -1.25627556582115 |
11 | 7 | 9.04890707973803 | -2.04890707973803 |
12 | 5 | 9.06217141802112 | -4.06217141802112 |
13 | 14 | 12.5992504412756 | 1.40074955872441 |
14 | 6 | 8.79656241340654 | -2.79656241340653 |
15 | 10 | 11.6013799337748 | -1.60137993377483 |
16 | 10 | 10.8325459887723 | -0.832545988772341 |
17 | 7 | 8.16337216151061 | -1.16337216151061 |
18 | 10 | 9.4495669990925 | 0.550433000907498 |
19 | 8 | 9.16610993350092 | -1.16610993350092 |
20 | 6 | 7.16588821534516 | -1.16588821534516 |
21 | 10 | 10.9857794411093 | -0.985779441109293 |
22 | 12 | 10.2480404759917 | 1.75195952400826 |
23 | 7 | 9.43366041479678 | -2.43366041479678 |
24 | 15 | 8.6525702976235 | 6.3474297023765 |
25 | 8 | 10.1491084527023 | -2.14910845270229 |
26 | 10 | 9.9528383000774 | 0.0471616999226065 |
27 | 13 | 10.5163226876453 | 2.48367731235471 |
28 | 8 | 7.8666564301064 | 0.133343569893595 |
29 | 11 | 11.3207867552581 | -0.320786755258090 |
30 | 7 | 9.7319542572747 | -2.73195425727469 |
31 | 9 | 8.37401382563088 | 0.625986174369125 |
32 | 10 | 9.66753825634607 | 0.332461743653928 |
33 | 8 | 8.10270249854559 | -0.102702498545585 |
34 | 15 | 13.4045067064971 | 1.59549329350287 |
35 | 9 | 10.1456662951063 | -1.14566629510635 |
36 | 7 | 8.38185235282574 | -1.38185235282574 |
37 | 11 | 9.61233675864213 | 1.38766324135787 |
38 | 9 | 7.81087994604013 | 1.18912005395987 |
39 | 8 | 9.76712144951388 | -1.76712144951388 |
40 | 8 | 7.74562669178148 | 0.254373308218522 |
41 | 12 | 9.07311848742598 | 2.92688151257402 |
42 | 13 | 10.2887463008469 | 2.71125369915311 |
43 | 9 | 8.9949997246505 | 0.00500027534950619 |
44 | 11 | 9.36789415375542 | 1.63210584624458 |
45 | 8 | 8.19415957056963 | -0.19415957056963 |
46 | 10 | 10.8119350981055 | -0.811935098105464 |
47 | 13 | 12.2862118957468 | 0.713788104253187 |
48 | 12 | 11.2142484254755 | 0.78575157452449 |
49 | 12 | 9.56137505751008 | 2.43862494248992 |
50 | 9 | 8.83962774433189 | 0.160372255668115 |
51 | 8 | 10.2068011119551 | -2.20680111195511 |
52 | 9 | 8.49554011973329 | 0.504459880266712 |
53 | 12 | 8.46662566622833 | 3.53337433377167 |
54 | 12 | 11.7579883798354 | 0.242011620164587 |
55 | 16 | 14.2251908227223 | 1.77480917727766 |
56 | 11 | 8.89114012244742 | 2.10885987755258 |
57 | 13 | 10.2139947685109 | 2.78600523148912 |
58 | 10 | 10.6085494175370 | -0.608549417536961 |
59 | 9 | 10.6229671645408 | -1.62296716454078 |
60 | 14 | 9.52861714354525 | 4.47138285645474 |
61 | 13 | 11.9729843095194 | 1.02701569048063 |
62 | 12 | 10.3282302492077 | 1.67176975079226 |
63 | 9 | 10.8763043033581 | -1.87630430335811 |
64 | 9 | 10.5644844003651 | -1.56448440036514 |
65 | 10 | 11.2699183270100 | -1.26991832701005 |
66 | 8 | 10.3411115868558 | -2.34111158685581 |
67 | 9 | 10.4275714591011 | -1.42757145910115 |
68 | 9 | 8.98446394539893 | 0.0155360546010725 |
69 | 11 | 8.76431422182515 | 2.23568577817485 |
70 | 7 | 9.50950617187987 | -2.50950617187987 |
71 | 11 | 11.5959093237277 | -0.595909323727745 |
72 | 9 | 9.04322706372827 | -0.0432270637282655 |
73 | 11 | 9.15058431512889 | 1.84941568487111 |
74 | 9 | 9.58582093389701 | -0.585820933897015 |
75 | 8 | 10.3495296341019 | -2.34952963410189 |
76 | 9 | 8.13012030756874 | 0.86987969243126 |
77 | 8 | 9.06927861793022 | -1.06927861793022 |
78 | 9 | 9.94476031937515 | -0.94476031937515 |
79 | 10 | 10.2566345301288 | -0.256634530128837 |
80 | 9 | 9.89037004592268 | -0.890370045922676 |
81 | 17 | 13.8711372194071 | 3.12886278059293 |
82 | 7 | 9.46628918867527 | -2.46628918867527 |
83 | 11 | 11.2710971912694 | -0.271097191269415 |
84 | 9 | 9.99419258295186 | -0.994192582951863 |
85 | 10 | 9.78264770319177 | 0.217352296808229 |
86 | 11 | 8.36485016705854 | 2.63514983294146 |
87 | 8 | 8.07350215496662 | -0.0735021549666187 |
88 | 12 | 12.2362440267885 | -0.236244026788495 |
89 | 10 | 10.1366359196199 | -0.136635919619902 |
90 | 7 | 8.90866042512573 | -1.90866042512573 |
91 | 9 | 8.83185268258191 | 0.168147317418089 |
92 | 7 | 8.20186818590794 | -1.20186818590794 |
93 | 12 | 10.6016031024213 | 1.39839689757873 |
94 | 8 | 9.3770524761292 | -1.37705247612920 |
95 | 13 | 10.5879448570348 | 2.41205514296516 |
96 | 9 | 10.8991606935624 | -1.89916069356244 |
97 | 15 | 12.7139128309047 | 2.28608716909534 |
98 | 8 | 9.60084209563988 | -1.60084209563988 |
99 | 14 | 11.5246911205427 | 2.47530887945727 |
100 | 14 | 13.8911655616869 | 0.108834438313056 |
101 | 9 | 10.2593802311929 | -1.25938023119287 |
102 | 13 | 11.3876024718801 | 1.61239752811987 |
103 | 11 | 9.06522093273864 | 1.93477906726136 |
104 | 10 | 11.9457960705909 | -1.94579607059089 |
105 | 6 | 10.0273934103186 | -4.02739341031865 |
106 | 8 | 8.39056873028816 | -0.390568730288156 |
107 | 10 | 11.4319914342948 | -1.43199143429479 |
108 | 10 | 7.85785787476011 | 2.14214212523989 |
109 | 10 | 8.93355445152864 | 1.06644554847136 |
110 | 12 | 12.0502741750573 | -0.0502741750573411 |
111 | 10 | 9.68071384708567 | 0.319286152914328 |
112 | 9 | 9.01387427623435 | -0.0138742762343448 |
113 | 9 | 7.67328747190242 | 1.32671252809758 |
114 | 11 | 9.43116941816502 | 1.56883058183498 |
115 | 7 | 8.0289016846006 | -1.02890168460060 |
116 | 7 | 8.8372557113458 | -1.83725571134581 |
117 | 5 | 7.95064640131373 | -2.95064640131373 |
118 | 9 | 8.84291655797827 | 0.157083442021736 |
119 | 11 | 9.82802974708223 | 1.17197025291777 |
120 | 15 | 12.2669949575172 | 2.73300504248278 |
121 | 9 | 8.03154310589767 | 0.968456894102328 |
122 | 9 | 9.46720704583193 | -0.467207045831931 |
123 | 8 | 9.51378642904974 | -1.51378642904975 |
124 | 13 | 15.1340650336149 | -2.13406503361495 |
125 | 10 | 10.3946259832878 | -0.394625983287812 |
126 | 13 | 11.3389486924832 | 1.66105130751682 |
127 | 9 | 7.51817428392064 | 1.48182571607936 |
128 | 11 | 9.58893439708289 | 1.41106560291711 |
129 | 8 | 10.7738589128412 | -2.77385891284124 |
130 | 10 | 9.3707542161555 | 0.629245783844505 |
131 | 9 | 8.84792204418642 | 0.152077955813578 |
132 | 8 | 7.94231069744937 | 0.0576893025506331 |
133 | 8 | 7.7686511920712 | 0.231348807928797 |
134 | 13 | 10.4146147589015 | 2.58538524109854 |
135 | 11 | 10.9005342743888 | 0.0994657256111754 |
136 | 8 | 10.1491084527023 | -2.14910845270229 |
137 | 12 | 10.2502498999142 | 1.74975010008577 |
138 | 15 | 11.7898391071569 | 3.21016089284307 |
139 | 11 | 11.2710971912694 | -0.271097191269415 |
140 | 10 | 10.2216210600961 | -0.221621060096082 |
141 | 5 | 7.95064640131373 | -2.95064640131373 |
142 | 11 | 7.24621465424016 | 3.75378534575984 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
20 | 0.825848480991068 | 0.348303038017863 | 0.174151519008932 |
21 | 0.879272198707035 | 0.24145560258593 | 0.120727801292965 |
22 | 0.815256898689907 | 0.369486202620186 | 0.184743101310093 |
23 | 0.739327385005278 | 0.521345229989445 | 0.260672614994722 |
24 | 0.859077324222484 | 0.281845351555032 | 0.140922675777516 |
25 | 0.803467573495001 | 0.393064853009998 | 0.196532426504999 |
26 | 0.730333626226064 | 0.539332747547872 | 0.269666373773936 |
27 | 0.950784041445515 | 0.098431917108971 | 0.0492159585544855 |
28 | 0.930244358653806 | 0.139511282692388 | 0.069755641346194 |
29 | 0.904695346963915 | 0.190609306072170 | 0.0953046530360849 |
30 | 0.956279873891018 | 0.0874402522179646 | 0.0437201261089823 |
31 | 0.94562790805665 | 0.108744183886701 | 0.0543720919433504 |
32 | 0.924838460130035 | 0.150323079739931 | 0.0751615398699654 |
33 | 0.905950889262755 | 0.188098221474491 | 0.0940491107372453 |
34 | 0.935138402883507 | 0.129723194232986 | 0.064861597116493 |
35 | 0.925531367630562 | 0.148937264738875 | 0.0744686323694376 |
36 | 0.914732519678418 | 0.170534960643163 | 0.0852674803215817 |
37 | 0.921941338782957 | 0.156117322434086 | 0.0780586612170432 |
38 | 0.90913692797174 | 0.181726144056521 | 0.0908630720282606 |
39 | 0.890889249961782 | 0.218221500076437 | 0.109110750038218 |
40 | 0.862407943763437 | 0.275184112473127 | 0.137592056236563 |
41 | 0.853185097947188 | 0.293629804105624 | 0.146814902052812 |
42 | 0.851980131165417 | 0.296039737669166 | 0.148019868834583 |
43 | 0.856044672999587 | 0.287910654000826 | 0.143955327000413 |
44 | 0.832657901016099 | 0.334684197967802 | 0.167342098983901 |
45 | 0.800284153556475 | 0.39943169288705 | 0.199715846443525 |
46 | 0.757565701534098 | 0.484868596931804 | 0.242434298465902 |
47 | 0.772596252441146 | 0.454807495117709 | 0.227403747558854 |
48 | 0.731542216562298 | 0.536915566875403 | 0.268457783437702 |
49 | 0.785867357283639 | 0.428265285432722 | 0.214132642716361 |
50 | 0.75209882096036 | 0.495802358079279 | 0.247901179039640 |
51 | 0.749284914291976 | 0.501430171416049 | 0.250715085708024 |
52 | 0.706888773726127 | 0.586222452547746 | 0.293111226273873 |
53 | 0.800956986258401 | 0.398086027483197 | 0.199043013741599 |
54 | 0.774338954187602 | 0.451322091624796 | 0.225661045812398 |
55 | 0.819403023293158 | 0.361193953413683 | 0.180596976706842 |
56 | 0.845150338317517 | 0.309699323364965 | 0.154849661682483 |
57 | 0.873504791069003 | 0.252990417861994 | 0.126495208930997 |
58 | 0.843997435231989 | 0.312005129536023 | 0.156002564768011 |
59 | 0.82996824971239 | 0.340063500575220 | 0.170031750287610 |
60 | 0.964348155472516 | 0.071303689054969 | 0.0356518445274845 |
61 | 0.955435001740347 | 0.0891299965193056 | 0.0445649982596528 |
62 | 0.955202908968965 | 0.089594182062071 | 0.0447970910310355 |
63 | 0.95626955584784 | 0.0874608883043194 | 0.0437304441521597 |
64 | 0.950013013464541 | 0.0999739730709173 | 0.0499869865354587 |
65 | 0.946731501558266 | 0.106536996883468 | 0.0532684984417338 |
66 | 0.945906739408377 | 0.108186521183245 | 0.0540932605916226 |
67 | 0.93672013447762 | 0.126559731044759 | 0.0632798655223796 |
68 | 0.919041434564337 | 0.161917130871326 | 0.080958565435663 |
69 | 0.92275112226229 | 0.154497755475421 | 0.0772488777377105 |
70 | 0.941110154366456 | 0.117779691267088 | 0.0588898456335438 |
71 | 0.925056265927682 | 0.149887468144636 | 0.074943734072318 |
72 | 0.904457089934938 | 0.191085820130124 | 0.0955429100650622 |
73 | 0.913961981455476 | 0.172076037089047 | 0.0860380185445236 |
74 | 0.890625595576612 | 0.218748808846777 | 0.109374404423388 |
75 | 0.88530093364568 | 0.229398132708641 | 0.114699066354320 |
76 | 0.878580234779531 | 0.242839530440937 | 0.121419765220469 |
77 | 0.866483821633786 | 0.267032356732429 | 0.133516178366214 |
78 | 0.84229764304711 | 0.315404713905779 | 0.157702356952890 |
79 | 0.806555587912617 | 0.386888824174767 | 0.193444412087383 |
80 | 0.773844321080162 | 0.452311357839675 | 0.226155678919838 |
81 | 0.813763355290407 | 0.372473289419185 | 0.186236644709593 |
82 | 0.821345474424699 | 0.357309051150603 | 0.178654525575302 |
83 | 0.782424907684836 | 0.435150184630328 | 0.217575092315164 |
84 | 0.763100700381541 | 0.473798599236918 | 0.236899299618459 |
85 | 0.718152938552715 | 0.56369412289457 | 0.281847061447285 |
86 | 0.826265747808887 | 0.347468504382225 | 0.173734252191113 |
87 | 0.797229386306872 | 0.405541227386257 | 0.202770613693128 |
88 | 0.754563816587095 | 0.49087236682581 | 0.245436183412905 |
89 | 0.707144225504111 | 0.585711548991778 | 0.292855774495889 |
90 | 0.71320880237775 | 0.573582395244501 | 0.286791197622250 |
91 | 0.664437397649156 | 0.671125204701689 | 0.335562602350844 |
92 | 0.654138323231745 | 0.691723353536509 | 0.345861676768255 |
93 | 0.645114348681699 | 0.709771302636602 | 0.354885651318301 |
94 | 0.600719218987665 | 0.79856156202467 | 0.399280781012335 |
95 | 0.646958173980171 | 0.706083652039658 | 0.353041826019829 |
96 | 0.619172590596992 | 0.761654818806017 | 0.380827409403008 |
97 | 0.608803367075364 | 0.782393265849271 | 0.391196632924636 |
98 | 0.559147560078767 | 0.881704879842465 | 0.440852439921233 |
99 | 0.539955271802407 | 0.920089456395187 | 0.460044728197593 |
100 | 0.528818020919096 | 0.942363958161808 | 0.471181979080904 |
101 | 0.531004101176197 | 0.937991797647606 | 0.468995898823803 |
102 | 0.614483839687349 | 0.771032320625303 | 0.385516160312651 |
103 | 0.583642249185971 | 0.832715501628059 | 0.416357750814029 |
104 | 0.607674992436822 | 0.784650015126356 | 0.392325007563178 |
105 | 0.705827753719763 | 0.588344492560473 | 0.294172246280237 |
106 | 0.676910298544017 | 0.646179402911966 | 0.323089701455983 |
107 | 0.687054877607624 | 0.625890244784753 | 0.312945122392376 |
108 | 0.660952589335192 | 0.678094821329616 | 0.339047410664808 |
109 | 0.598701127944201 | 0.802597744111598 | 0.401298872055799 |
110 | 0.631033048103315 | 0.737933903793371 | 0.368966951896685 |
111 | 0.565368138445283 | 0.869263723109434 | 0.434631861554717 |
112 | 0.491610459130177 | 0.983220918260354 | 0.508389540869823 |
113 | 0.419426917889632 | 0.838853835779265 | 0.580573082110368 |
114 | 0.397258152131075 | 0.794516304262151 | 0.602741847868925 |
115 | 0.347269754222934 | 0.694539508445868 | 0.652730245777066 |
116 | 0.297867583156859 | 0.595735166313718 | 0.702132416843141 |
117 | 0.276831262049745 | 0.55366252409949 | 0.723168737950255 |
118 | 0.199758269383625 | 0.39951653876725 | 0.800241730616375 |
119 | 0.13376782292325 | 0.2675356458465 | 0.86623217707675 |
120 | 0.100798881989172 | 0.201597763978344 | 0.899201118010828 |
121 | 0.0564209291559408 | 0.112841858311882 | 0.94357907084406 |
122 | 0.0282589185920823 | 0.0565178371841647 | 0.971741081407918 |
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 | 8 | 0.0776699029126214 | OK |