Multiple Linear Regression - Estimated Regression Equation |
PStress[t] = + 5.77337275478613 -0.0342048600664453BelInSprt[t] + 0.162129769967189KunnenRekRel[t] -0.144754395838316ExtraCurAct[t] -0.0528074645624752Verwouders[t] + 0.0619866259734261Populariteit[t] + 0.405039685698546Depressie[t] -0.188350390479734Slaapgebrek[t] + 0.202001749841396ToekZorgen[t] + 0.0432050643236558`MateGeorgZijn `[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) | 5.77337275478613 | 2.097336 | 2.7527 | 0.006743 | 0.003371 |
BelInSprt | -0.0342048600664453 | 0.017296 | -1.9776 | 0.050054 | 0.025027 |
KunnenRekRel | 0.162129769967189 | 0.110528 | 1.4669 | 0.144792 | 0.072396 |
ExtraCurAct | -0.144754395838316 | 0.123818 | -1.1691 | 0.244475 | 0.122237 |
Verwouders | -0.0528074645624752 | 0.048681 | -1.0848 | 0.280004 | 0.140002 |
Populariteit | 0.0619866259734261 | 0.057932 | 1.07 | 0.286576 | 0.143288 |
Depressie | 0.405039685698546 | 0.063626 | 6.3659 | 0 | 0 |
Slaapgebrek | -0.188350390479734 | 0.093402 | -2.0165 | 0.045771 | 0.022886 |
ToekZorgen | 0.202001749841396 | 0.116236 | 1.7379 | 0.084567 | 0.042284 |
`MateGeorgZijn ` | 0.0432050643236558 | 0.04614 | 0.9364 | 0.350784 | 0.175392 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.623985664675957 |
R-squared | 0.389358109721096 |
Adjusted R-squared | 0.347723435383898 |
F-TEST (value) | 9.35177507496987 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 132 |
p-value | 6.5743854804623e-11 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.92734869960743 |
Sum Squared Residuals | 490.336837303956 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 10 | 10.4885471581556 | -0.488547158155593 |
2 | 6 | 7.90843681121168 | -1.90843681121168 |
3 | 13 | 10.2247714831643 | 2.7752285168357 |
4 | 12 | 9.70021679683811 | 2.29978320316189 |
5 | 8 | 12.59294701117 | -4.59294701117001 |
6 | 6 | 9.08610033421258 | -3.08610033421258 |
7 | 10 | 12.6994040268589 | -2.69940402685891 |
8 | 10 | 10.1013700284188 | -0.101370028418802 |
9 | 9 | 9.28216445334169 | -0.282164453341689 |
10 | 9 | 10.1498610237591 | -1.14986102375906 |
11 | 7 | 9.10916176310506 | -2.10916176310506 |
12 | 5 | 9.26635106633395 | -4.26635106633395 |
13 | 14 | 12.2735887368985 | 1.72641126310153 |
14 | 6 | 8.88605648962205 | -2.88605648962205 |
15 | 10 | 11.4196079429094 | -1.41960794290935 |
16 | 10 | 10.7869668124546 | -0.786966812454587 |
17 | 7 | 8.36951556910205 | -1.36951556910205 |
18 | 10 | 9.45803375692845 | 0.541966243071551 |
19 | 8 | 9.30724136094698 | -1.30724136094698 |
20 | 6 | 7.06092365191068 | -1.06092365191068 |
21 | 10 | 10.9402675133964 | -0.940267513396408 |
22 | 12 | 10.3761919403133 | 1.62380805968670 |
23 | 7 | 8.91258883384755 | -1.91258883384755 |
24 | 15 | 8.62217838592537 | 6.37782161407463 |
25 | 8 | 10.2442311661258 | -2.24423116612577 |
26 | 10 | 10.0435975477385 | -0.0435975477384701 |
27 | 13 | 10.5442365253151 | 2.45576347468492 |
28 | 8 | 7.88493890520508 | 0.115061094794922 |
29 | 11 | 11.0489101529417 | -0.0489101529417004 |
30 | 7 | 9.30043492026231 | -2.30043492026231 |
31 | 9 | 8.23922540759356 | 0.760774592406436 |
32 | 10 | 9.55201857046539 | 0.447981429534612 |
33 | 8 | 8.34713489565026 | -0.347134895650259 |
34 | 15 | 13.4922760858571 | 1.50772391414294 |
35 | 9 | 9.87919360976915 | -0.879193609769153 |
36 | 7 | 8.3313692625469 | -1.33136926254689 |
37 | 11 | 9.5434373087481 | 1.45656269125189 |
38 | 9 | 7.81758630197062 | 1.18241369802938 |
39 | 8 | 9.83889165034563 | -1.83889165034563 |
40 | 8 | 8.07031522147137 | -0.0703152214713721 |
41 | 12 | 9.00669091002757 | 2.99330908997243 |
42 | 13 | 10.1938691224284 | 2.80613087757164 |
43 | 9 | 9.2436464741124 | -0.243646474112408 |
44 | 11 | 9.45442935521885 | 1.54557064478115 |
45 | 8 | 8.40345679870989 | -0.403456798709888 |
46 | 10 | 10.6138127734815 | -0.613812773481454 |
47 | 13 | 12.5569150675629 | 0.443084932437137 |
48 | 12 | 11.3374227461521 | 0.662577253847944 |
49 | 12 | 9.66726228579605 | 2.33273771420395 |
50 | 9 | 8.61543483870245 | 0.384565161297553 |
51 | 8 | 10.0263023009330 | -2.02630230093305 |
52 | 9 | 8.39973740079584 | 0.600262599204165 |
53 | 12 | 8.36412893020432 | 3.63587106979568 |
54 | 12 | 11.6555759394845 | 0.344424060515546 |
55 | 16 | 14.3401293956828 | 1.65987060431725 |
56 | 11 | 8.93466858177642 | 2.06533141822358 |
57 | 13 | 10.2389228412485 | 2.76107715875153 |
58 | 10 | 10.9074268945231 | -0.907426894523076 |
59 | 9 | 10.5593292803811 | -1.55932928038106 |
60 | 14 | 9.73959672006318 | 4.26040327993682 |
61 | 13 | 11.6106132975683 | 1.38938670243169 |
62 | 12 | 10.5332068411698 | 1.46679315883024 |
63 | 9 | 10.9521337491224 | -1.95213374912245 |
64 | 9 | 10.4424726882582 | -1.44247268825816 |
65 | 10 | 11.0397300873270 | -1.03973008732702 |
66 | 8 | 10.3875465176335 | -2.38754651763355 |
67 | 9 | 10.3037781735247 | -1.30377817352473 |
68 | 9 | 8.95405028690126 | 0.0459497130987453 |
69 | 11 | 8.7071087453227 | 2.29289125467730 |
70 | 7 | 9.86048859103846 | -2.86048859103846 |
71 | 11 | 11.6516072530218 | -0.651607253021812 |
72 | 9 | 9.1024947350616 | -0.102494735061600 |
73 | 11 | 8.97762664879536 | 2.02237335120464 |
74 | 9 | 9.53450545254268 | -0.534505452542676 |
75 | 8 | 10.2034978250591 | -2.20349782505915 |
76 | 9 | 8.15308223745137 | 0.846917762548632 |
77 | 8 | 9.06360266535608 | -1.06360266535608 |
78 | 9 | 10.0392733091713 | -1.03927330917134 |
79 | 10 | 10.2405298607058 | -0.240529860705809 |
80 | 9 | 9.80865647825014 | -0.808656478250142 |
81 | 17 | 13.7775190200029 | 3.22248097999715 |
82 | 7 | 9.29252641671997 | -2.29252641671997 |
83 | 11 | 11.0592868587740 | -0.059286858773962 |
84 | 9 | 10.0754655383367 | -1.07546553833666 |
85 | 10 | 9.79908879635722 | 0.200911203642778 |
86 | 11 | 8.64880989710351 | 2.35119010289649 |
87 | 8 | 8.31194325951977 | -0.311943259519767 |
88 | 12 | 12.2222556983569 | -0.22225569835692 |
89 | 10 | 10.0956129682348 | -0.095612968234843 |
90 | 7 | 8.92833116250647 | -1.92833116250647 |
91 | 9 | 8.74246424937154 | 0.257535750628456 |
92 | 7 | 8.19120228467682 | -1.19120228467682 |
93 | 12 | 10.5742183520702 | 1.42578164792983 |
94 | 8 | 9.2329686710533 | -1.23296867105330 |
95 | 13 | 10.3608779917470 | 2.63912200825305 |
96 | 9 | 10.8694697382500 | -1.86946973825004 |
97 | 15 | 12.3919528721844 | 2.60804712781557 |
98 | 8 | 9.1812368254096 | -1.18123682540959 |
99 | 14 | 11.7210569498502 | 2.27894305014981 |
100 | 14 | 13.5496466438415 | 0.450353356158483 |
101 | 9 | 10.2459753700833 | -1.24597537008334 |
102 | 13 | 11.8717470047749 | 1.12825299522511 |
103 | 11 | 8.9162903102105 | 2.0837096897895 |
104 | 10 | 11.8054836546751 | -1.80548365467515 |
105 | 6 | 10.0875608331275 | -4.08756083312749 |
106 | 8 | 8.3071254679926 | -0.3071254679926 |
107 | 10 | 11.3708417970852 | -1.37084179708517 |
108 | 10 | 7.75540665882537 | 2.24459334117463 |
109 | 10 | 8.8916316824268 | 1.10836831757320 |
110 | 12 | 12.0646908202124 | -0.0646908202123775 |
111 | 10 | 9.58635003076956 | 0.413649969230443 |
112 | 9 | 8.93901690395283 | 0.0609830960471657 |
113 | 9 | 7.55180574094984 | 1.44819425905016 |
114 | 11 | 9.37796060830912 | 1.62203939169088 |
115 | 7 | 8.08456321677665 | -1.08456321677665 |
116 | 7 | 8.82160573601362 | -1.82160573601362 |
117 | 5 | 8.42600672452766 | -3.42600672452766 |
118 | 9 | 8.94034948748323 | 0.0596505125167735 |
119 | 11 | 9.84573976488388 | 1.15426023511611 |
120 | 15 | 12.2661109861046 | 2.73388901389538 |
121 | 9 | 8.07842530288505 | 0.921574697114953 |
122 | 9 | 9.32014194927413 | -0.320141949274125 |
123 | 8 | 9.53513582770015 | -1.53513582770015 |
124 | 13 | 15.2727635081820 | -2.27276350818202 |
125 | 10 | 10.1807928233401 | -0.180792823340132 |
126 | 13 | 11.5275253036514 | 1.47247469634861 |
127 | 9 | 7.41021949303544 | 1.58978050696456 |
128 | 11 | 9.58506563963663 | 1.41493436036337 |
129 | 8 | 10.5899908351982 | -2.58999083519818 |
130 | 10 | 9.11296908588648 | 0.887030914113524 |
131 | 9 | 8.87711240060514 | 0.122887599394861 |
132 | 8 | 7.9346581640629 | 0.0653418359371003 |
133 | 8 | 7.93538711232431 | 0.0646128876756898 |
134 | 13 | 10.7492878445701 | 2.25071215542986 |
135 | 11 | 10.8278636250908 | 0.172136374909205 |
136 | 8 | 10.2442311661258 | -2.24423116612577 |
137 | 12 | 10.1544663322319 | 1.84553366776814 |
138 | 15 | 12.1102724622765 | 2.88972753772349 |
139 | 11 | 11.0592868587740 | -0.059286858773962 |
140 | 10 | 10.5101020130621 | -0.510102013062077 |
141 | 5 | 8.42600672452766 | -3.42600672452766 |
142 | 11 | 7.35104395061007 | 3.64895604938993 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
13 | 0.987801563184236 | 0.0243968736315286 | 0.0121984368157643 |
14 | 0.975157057249854 | 0.0496858855002911 | 0.0248429427501455 |
15 | 0.980365607542201 | 0.0392687849155978 | 0.0196343924577989 |
16 | 0.963167798986413 | 0.0736644020271731 | 0.0368322010135866 |
17 | 0.941257409166478 | 0.117485181667045 | 0.0587425908335223 |
18 | 0.94729223711537 | 0.105415525769261 | 0.0527077628846306 |
19 | 0.93256895471233 | 0.134862090575340 | 0.0674310452876698 |
20 | 0.908068664142656 | 0.183862671714689 | 0.0919313358573445 |
21 | 0.867661921888747 | 0.264676156222506 | 0.132338078111253 |
22 | 0.8518144943615 | 0.296371011277001 | 0.148185505638501 |
23 | 0.810463111757351 | 0.379073776485298 | 0.189536888242649 |
24 | 0.981091992071239 | 0.0378160158575223 | 0.0189080079287611 |
25 | 0.980837515211083 | 0.0383249695778346 | 0.0191624847889173 |
26 | 0.973755373069017 | 0.0524892538619667 | 0.0262446269309834 |
27 | 0.985472411037038 | 0.029055177925924 | 0.014527588962962 |
28 | 0.978327007237391 | 0.0433459855252172 | 0.0216729927626086 |
29 | 0.96795807113826 | 0.0640838577234786 | 0.0320419288617393 |
30 | 0.970591892063405 | 0.0588162158731896 | 0.0294081079365948 |
31 | 0.967185117039918 | 0.065629765920164 | 0.032814882960082 |
32 | 0.957381482789997 | 0.0852370344200053 | 0.0426185172100027 |
33 | 0.94194172011288 | 0.116116559774241 | 0.0580582798871203 |
34 | 0.943607634621057 | 0.112784730757885 | 0.0563923653789426 |
35 | 0.930008491149178 | 0.139983017701644 | 0.0699915088508219 |
36 | 0.922721173657916 | 0.154557652684167 | 0.0772788263420836 |
37 | 0.909814726970869 | 0.180370546058262 | 0.090185273029131 |
38 | 0.889836977567245 | 0.22032604486551 | 0.110163022432755 |
39 | 0.872834280729473 | 0.254331438541055 | 0.127165719270527 |
40 | 0.858376592719229 | 0.283246814561542 | 0.141623407280771 |
41 | 0.87911933195454 | 0.241761336090921 | 0.120880668045461 |
42 | 0.889266406847766 | 0.221467186304468 | 0.110733593152234 |
43 | 0.861758543319866 | 0.276482913360268 | 0.138241456680134 |
44 | 0.840627882445169 | 0.318744235109663 | 0.159372117554831 |
45 | 0.809220560703224 | 0.381558878593551 | 0.190779439296776 |
46 | 0.770469787931018 | 0.459060424137965 | 0.229530212068983 |
47 | 0.768936924794103 | 0.462126150411795 | 0.231063075205897 |
48 | 0.729353093087311 | 0.541293813825377 | 0.270646906912689 |
49 | 0.766974019562422 | 0.466051960875156 | 0.233025980437578 |
50 | 0.727877702130775 | 0.54424459573845 | 0.272122297869225 |
51 | 0.719505015497481 | 0.560989969005038 | 0.280494984502519 |
52 | 0.686148791619196 | 0.627702416761608 | 0.313851208380804 |
53 | 0.79035391674149 | 0.41929216651702 | 0.20964608325851 |
54 | 0.752888466248317 | 0.494223067503366 | 0.247111533751683 |
55 | 0.779737275439672 | 0.440525449120657 | 0.220262724560328 |
56 | 0.82109726039763 | 0.357805479204742 | 0.178902739602371 |
57 | 0.854829931629606 | 0.290340136740789 | 0.145170068370394 |
58 | 0.832777007785071 | 0.334445984429858 | 0.167222992214929 |
59 | 0.824847766929916 | 0.350304466140167 | 0.175152233070084 |
60 | 0.949354752232041 | 0.101290495535918 | 0.0506452477679588 |
61 | 0.943243645800666 | 0.113512708398669 | 0.0567563541993345 |
62 | 0.936627352677479 | 0.126745294645042 | 0.0633726473225212 |
63 | 0.93978259619928 | 0.12043480760144 | 0.06021740380072 |
64 | 0.933350772158143 | 0.133298455683714 | 0.066649227841857 |
65 | 0.931644055815797 | 0.136711888368407 | 0.0683559441842033 |
66 | 0.936341800159163 | 0.127316399681675 | 0.0636581998408373 |
67 | 0.92644585661745 | 0.147108286765099 | 0.0735541433825493 |
68 | 0.907227651076119 | 0.185544697847763 | 0.0927723489238813 |
69 | 0.91996165487211 | 0.160076690255779 | 0.0800383451278895 |
70 | 0.93995220310525 | 0.1200955937895 | 0.06004779689475 |
71 | 0.926172430761427 | 0.147655138477145 | 0.0738275692385726 |
72 | 0.908511111391024 | 0.182977777217952 | 0.0914888886089761 |
73 | 0.911184099726409 | 0.177631800547183 | 0.0888159002735913 |
74 | 0.890420018522719 | 0.219159962954563 | 0.109579981477281 |
75 | 0.893287860784196 | 0.213424278431608 | 0.106712139215804 |
76 | 0.88219924132358 | 0.235601517352839 | 0.117800758676420 |
77 | 0.868049567792504 | 0.263900864414993 | 0.131950432207496 |
78 | 0.851185411747269 | 0.297629176505462 | 0.148814588252731 |
79 | 0.819242469522926 | 0.361515060954147 | 0.180757530477074 |
80 | 0.790841092804882 | 0.418317814390235 | 0.209158907195118 |
81 | 0.855989943289641 | 0.288020113420717 | 0.144010056710359 |
82 | 0.867930886724433 | 0.264138226551134 | 0.132069113275567 |
83 | 0.839946191480067 | 0.320107617039865 | 0.160053808519933 |
84 | 0.832744966827067 | 0.334510066345866 | 0.167255033172933 |
85 | 0.799420589346397 | 0.401158821307206 | 0.200579410653603 |
86 | 0.878892093794063 | 0.242215812411874 | 0.121107906205937 |
87 | 0.859678657994885 | 0.28064268401023 | 0.140321342005115 |
88 | 0.827944507684684 | 0.344110984630633 | 0.172055492315316 |
89 | 0.793270938430668 | 0.413458123138665 | 0.206729061569332 |
90 | 0.814467313564391 | 0.371065372871217 | 0.185532686435609 |
91 | 0.779928398323273 | 0.440143203353453 | 0.220071601676727 |
92 | 0.782725131054616 | 0.434549737890767 | 0.217274868945384 |
93 | 0.78489763184184 | 0.430204736316321 | 0.215102368158161 |
94 | 0.75084757884866 | 0.498304842302681 | 0.249152421151341 |
95 | 0.779590847563779 | 0.440818304872443 | 0.220409152436221 |
96 | 0.757259048174845 | 0.485481903650311 | 0.242740951825155 |
97 | 0.768663237833643 | 0.462673524332713 | 0.231336762166357 |
98 | 0.731525340573243 | 0.536949318853513 | 0.268474659426757 |
99 | 0.71335107797891 | 0.573297844042179 | 0.286648922021089 |
100 | 0.714073350066445 | 0.57185329986711 | 0.285926649933555 |
101 | 0.719166811946541 | 0.561666376106918 | 0.280833188053459 |
102 | 0.732012299032871 | 0.535975401934257 | 0.267987700967129 |
103 | 0.754772740065203 | 0.490454519869594 | 0.245227259934797 |
104 | 0.734396492339723 | 0.531207015320553 | 0.265603507660277 |
105 | 0.847147171822692 | 0.305705656354617 | 0.152852828177308 |
106 | 0.809426648278778 | 0.381146703442445 | 0.190573351721222 |
107 | 0.83347701408962 | 0.333045971820759 | 0.166522985910379 |
108 | 0.820524728840807 | 0.358950542318386 | 0.179475271159193 |
109 | 0.791134984916375 | 0.417730030167251 | 0.208865015083625 |
110 | 0.814036107072263 | 0.371927785855473 | 0.185963892927737 |
111 | 0.793691174573195 | 0.412617650853609 | 0.206308825426805 |
112 | 0.739269320154653 | 0.521461359690694 | 0.260730679845347 |
113 | 0.687922620110909 | 0.624154759778182 | 0.312077379889091 |
114 | 0.638313960445231 | 0.723372079109537 | 0.361686039554769 |
115 | 0.573175224976648 | 0.853649550046705 | 0.426824775023352 |
116 | 0.512864896031708 | 0.974270207936584 | 0.487135103968292 |
117 | 0.610124236181294 | 0.779751527637412 | 0.389875763818706 |
118 | 0.530818450568873 | 0.938363098862254 | 0.469181549431127 |
119 | 0.451576699414531 | 0.903153398829062 | 0.548423300585469 |
120 | 0.443569835478506 | 0.887139670957013 | 0.556430164521494 |
121 | 0.369393955425812 | 0.738787910851623 | 0.630606044574188 |
122 | 0.292869924857937 | 0.585739849715873 | 0.707130075142063 |
123 | 0.240305941827111 | 0.480611883654223 | 0.759694058172889 |
124 | 0.318679532593643 | 0.637359065187286 | 0.681320467406357 |
125 | 0.455418612841984 | 0.910837225683967 | 0.544581387158016 |
126 | 0.393708550931195 | 0.787417101862391 | 0.606291449068804 |
127 | 0.289272838341346 | 0.578545676682693 | 0.710727161658654 |
128 | 0.223576789601950 | 0.447153579203901 | 0.77642321039805 |
129 | 0.162047403621754 | 0.324094807243508 | 0.837952596378246 |
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 | 7 | 0.0598290598290598 | NOK |
10% type I error level | 13 | 0.111111111111111 | NOK |