Multiple Linear Regression - Estimated Regression Equation |
PStress[t] = + 5.25986734334252 -0.0356695703760594BelInSprt[t] + 0.162920650667659KunnenRekRel[t] -0.149394398367188ExtraCurAct[t] -0.0485862018705257Verwouders[t] + 0.0628810522000706Populariteit[t] + 0.399104485306294Depressie[t] -0.180064637594153Slaapgebrek[t] + 0.218592098994588ToekZorgen[t] -0.0278347970425497PersStand[t] + 0.0512352154322369MateGeorgZijn[t] + 0.274485494053298`Eetgewoonten `[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) | 5.25986734334252 | 2.332939 | 2.2546 | 0.025831 | 0.012915 |
BelInSprt | -0.0356695703760594 | 0.017485 | -2.04 | 0.043377 | 0.021689 |
KunnenRekRel | 0.162920650667659 | 0.111263 | 1.4643 | 0.145531 | 0.072766 |
ExtraCurAct | -0.149394398367188 | 0.128863 | -1.1593 | 0.248449 | 0.124225 |
Verwouders | -0.0485862018705257 | 0.051476 | -0.9439 | 0.346987 | 0.173494 |
Populariteit | 0.0628810522000706 | 0.058194 | 1.0805 | 0.2819 | 0.14095 |
Depressie | 0.399104485306294 | 0.064174 | 6.2191 | 0 | 0 |
Slaapgebrek | -0.180064637594153 | 0.095025 | -1.8949 | 0.060324 | 0.030162 |
ToekZorgen | 0.218592098994588 | 0.118693 | 1.8417 | 0.067804 | 0.033902 |
PersStand | -0.0278347970425497 | 0.045309 | -0.6143 | 0.54007 | 0.270035 |
MateGeorgZijn | 0.0512352154322369 | 0.049032 | 1.0449 | 0.297989 | 0.148994 |
`Eetgewoonten ` | 0.274485494053298 | 0.336225 | 0.8164 | 0.415779 | 0.20789 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.627502539554768 |
R-squared | 0.393759437147683 |
Adjusted R-squared | 0.342462158752487 |
F-TEST (value) | 7.67602979078433 |
F-TEST (DF numerator) | 11 |
F-TEST (DF denominator) | 130 |
p-value | 4.1419778717966e-10 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.93510610595773 |
Sum Squared Residuals | 486.802633370934 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 10 | 10.3981109080137 | -0.398110908013729 |
2 | 6 | 7.9307644073114 | -1.9307644073114 |
3 | 13 | 10.2446393548474 | 2.75536064515261 |
4 | 12 | 9.69055368833448 | 2.30944631166553 |
5 | 8 | 12.3877245340208 | -4.38772453402081 |
6 | 6 | 8.94023575027133 | -2.94023575027133 |
7 | 10 | 12.5675446540060 | -2.56754465400602 |
8 | 10 | 10.0492825674870 | -0.0492825674870383 |
9 | 9 | 9.2234580613084 | -0.223458061308392 |
10 | 9 | 10.2561427858389 | -1.25614278583888 |
11 | 7 | 9.0956231693256 | -2.09562316932559 |
12 | 5 | 9.00027131926342 | -4.00027131926342 |
13 | 14 | 12.4797916272559 | 1.52020837274413 |
14 | 6 | 8.80274174681465 | -2.80274174681465 |
15 | 10 | 11.5769840172752 | -1.57698401727518 |
16 | 10 | 10.7243402999109 | -0.724340299910876 |
17 | 7 | 8.19431898730253 | -1.19431898730253 |
18 | 10 | 9.31879301058324 | 0.681206989416764 |
19 | 8 | 9.319515426293 | -1.31951542629299 |
20 | 6 | 7.20287855468407 | -1.20287855468407 |
21 | 10 | 10.9913651602625 | -0.991365160262543 |
22 | 12 | 10.1003340226233 | 1.89966597737672 |
23 | 7 | 9.27856605897553 | -2.27856605897553 |
24 | 15 | 8.73154910303879 | 6.26845089696121 |
25 | 8 | 10.1061066504412 | -2.10610665044122 |
26 | 10 | 9.95111422878907 | 0.0488857712109341 |
27 | 13 | 10.5473902757347 | 2.45260972426531 |
28 | 8 | 7.85752427466995 | 0.142475725330050 |
29 | 11 | 11.1326201089110 | -0.132620108911009 |
30 | 7 | 9.6835796832557 | -2.68357968325569 |
31 | 9 | 8.25172165280749 | 0.748278347192514 |
32 | 10 | 9.56953393831114 | 0.430466061688862 |
33 | 8 | 8.00479404745797 | -0.0047940474579675 |
34 | 15 | 13.3532068798352 | 1.64679312016478 |
35 | 9 | 10.0967881638929 | -1.09678816389294 |
36 | 7 | 8.32709910760245 | -1.32709910760245 |
37 | 11 | 9.47665861837684 | 1.52334138162316 |
38 | 9 | 7.90674553643083 | 1.09325446356917 |
39 | 8 | 9.75241055995031 | -1.75241055995031 |
40 | 8 | 7.94686347625122 | 0.0531365237487764 |
41 | 12 | 8.90319009623835 | 3.09680990376165 |
42 | 13 | 10.2481422166660 | 2.75185778333403 |
43 | 9 | 8.96473341285834 | 0.0352665871416619 |
44 | 11 | 9.36958836483915 | 1.63041163516085 |
45 | 8 | 8.21249800844928 | -0.212498008449276 |
46 | 10 | 10.7058538796630 | -0.70585387966297 |
47 | 13 | 12.4032130358754 | 0.596786964124592 |
48 | 12 | 11.2466332735131 | 0.75336672648686 |
49 | 12 | 9.60728612433318 | 2.39271387566682 |
50 | 9 | 8.70624332551038 | 0.293756674489619 |
51 | 8 | 10.2410357542843 | -2.2410357542843 |
52 | 9 | 8.55762631800724 | 0.442373681992759 |
53 | 12 | 8.42497649328264 | 3.57502350671736 |
54 | 12 | 11.7291685446556 | 0.270831455344415 |
55 | 16 | 14.2656209990965 | 1.73437900090345 |
56 | 11 | 8.98955211908735 | 2.01044788091265 |
57 | 13 | 10.3114039347229 | 2.68859606527706 |
58 | 10 | 10.6043806251253 | -0.604380625125327 |
59 | 9 | 10.4930309173501 | -1.49303091735006 |
60 | 14 | 9.53372243554468 | 4.46627756445532 |
61 | 13 | 12.0238673740869 | 0.976132625913069 |
62 | 12 | 10.3686770457662 | 1.63132295423380 |
63 | 9 | 10.9704701946977 | -1.97047019469774 |
64 | 9 | 10.5620657528630 | -1.56206575286303 |
65 | 10 | 11.2215090481749 | -1.22150904817487 |
66 | 8 | 10.5261813542289 | -2.52618135422892 |
67 | 9 | 10.3583406162232 | -1.35834061622320 |
68 | 9 | 8.96856824902976 | 0.0314317509702444 |
69 | 11 | 8.79366133164637 | 2.20633866835363 |
70 | 7 | 9.66716176259284 | -2.66716176259284 |
71 | 11 | 11.5494906558691 | -0.549490655869072 |
72 | 9 | 9.05759852497023 | -0.0575985249702288 |
73 | 11 | 8.92020106403112 | 2.07979893596888 |
74 | 9 | 9.5046003349402 | -0.504600334940199 |
75 | 8 | 10.2485637172436 | -2.24856371724359 |
76 | 9 | 8.13216001404625 | 0.867839985953749 |
77 | 8 | 9.17537537308887 | -1.17537537308887 |
78 | 9 | 9.85183779669558 | -0.851837796695581 |
79 | 10 | 10.2374896572663 | -0.237489657266274 |
80 | 9 | 9.80237244222467 | -0.802372442224675 |
81 | 17 | 13.9385372585523 | 3.06146274144766 |
82 | 7 | 9.51395394474114 | -2.51395394474114 |
83 | 11 | 11.2241087785954 | -0.224108778595412 |
84 | 9 | 9.98558539165466 | -0.985585391654661 |
85 | 10 | 9.7293345616771 | 0.270665438322909 |
86 | 11 | 8.53972306578796 | 2.46027693421204 |
87 | 8 | 8.21679797336594 | -0.216797973365939 |
88 | 12 | 12.3408963627430 | -0.340896362742957 |
89 | 10 | 10.1569392294030 | -0.156939229403048 |
90 | 7 | 8.9166794745976 | -1.91667947459759 |
91 | 9 | 8.92492753825314 | 0.0750724617468596 |
92 | 7 | 8.31127672596746 | -1.31127672596746 |
93 | 12 | 10.6119121268344 | 1.38808787316558 |
94 | 8 | 9.39329723101702 | -1.39329723101702 |
95 | 13 | 10.5624668971608 | 2.43753310283921 |
96 | 9 | 10.8127248916724 | -1.81272489167239 |
97 | 15 | 12.7299136650588 | 2.27008633494117 |
98 | 8 | 9.54154819418306 | -1.54154819418306 |
99 | 14 | 11.5706115353743 | 2.42938846462566 |
100 | 14 | 13.6941418024811 | 0.305858197518861 |
101 | 9 | 10.270549884361 | -1.27054988436099 |
102 | 13 | 11.4607229887744 | 1.53927701122564 |
103 | 11 | 9.12743591038398 | 1.87256408961602 |
104 | 10 | 11.9494520075191 | -1.94945200751907 |
105 | 6 | 10.0784477328994 | -4.07844773289936 |
106 | 8 | 8.44642226215375 | -0.446422262153754 |
107 | 10 | 11.4946303402216 | -1.49463034022156 |
108 | 10 | 7.87956511202029 | 2.12043488797971 |
109 | 10 | 8.72543291550262 | 1.27456708449738 |
110 | 12 | 12.1598856141247 | -0.159885614124670 |
111 | 10 | 9.60003572512358 | 0.399964274876418 |
112 | 9 | 9.06045856008726 | -0.0604585600872634 |
113 | 9 | 7.59764563027118 | 1.40235436972881 |
114 | 11 | 9.45421742633968 | 1.54578257366032 |
115 | 7 | 8.09598356364117 | -1.09598356364117 |
116 | 7 | 8.90290304289432 | -1.90290304289432 |
117 | 5 | 7.9683552701553 | -2.96835527015529 |
118 | 9 | 8.97439709909747 | 0.0256029009025346 |
119 | 11 | 9.95527117373667 | 1.04472882626333 |
120 | 15 | 12.2735813768076 | 2.72641862319243 |
121 | 9 | 8.11680001335884 | 0.883199986641165 |
122 | 9 | 9.40529665852555 | -0.405296658525544 |
123 | 8 | 9.49762161910805 | -1.49762161910805 |
124 | 13 | 15.2398428922856 | -2.23984289228564 |
125 | 10 | 10.3238172510627 | -0.323817251062680 |
126 | 13 | 11.3107833727572 | 1.68921662724279 |
127 | 9 | 7.53561601652311 | 1.46438398347689 |
128 | 11 | 9.63582873557402 | 1.36417126442598 |
129 | 8 | 10.7003556913825 | -2.70035569138245 |
130 | 10 | 9.2178972564349 | 0.782102743565107 |
131 | 9 | 8.9625165628174 | 0.0374834371826047 |
132 | 8 | 7.8349603794144 | 0.165039620585609 |
133 | 8 | 7.85545901328822 | 0.144540986711776 |
134 | 13 | 10.4362022385799 | 2.5637977614201 |
135 | 11 | 10.8163593529652 | 0.183640647034757 |
136 | 8 | 10.1061066504412 | -2.10610665044122 |
137 | 12 | 10.3053422149668 | 1.69465778503318 |
138 | 15 | 11.8405420551234 | 3.15945794487656 |
139 | 11 | 11.2241087785954 | -0.224108778595412 |
140 | 10 | 10.303389349951 | -0.303389349951004 |
141 | 5 | 7.9683552701553 | -2.96835527015529 |
142 | 11 | 7.24424973489903 | 3.75575026510097 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
15 | 0.92971477875061 | 0.140570442498779 | 0.0702852212493896 |
16 | 0.923624798454755 | 0.152750403090490 | 0.0763752015452451 |
17 | 0.88744075326573 | 0.22511849346854 | 0.11255924673427 |
18 | 0.825654898638606 | 0.348690202722788 | 0.174345101361394 |
19 | 0.805854802863317 | 0.388290394273366 | 0.194145197136683 |
20 | 0.782211086954685 | 0.435577826090631 | 0.217788913045315 |
21 | 0.711368765438526 | 0.577262469122947 | 0.288631234561474 |
22 | 0.819711513007594 | 0.360576973984811 | 0.180288486992406 |
23 | 0.791747046348054 | 0.416505907303891 | 0.208252953651946 |
24 | 0.950686378744025 | 0.0986272425119492 | 0.0493136212559746 |
25 | 0.940626542089682 | 0.118746915820637 | 0.0593734579103184 |
26 | 0.91412370022215 | 0.171752599555701 | 0.0858762997778506 |
27 | 0.957999265381667 | 0.0840014692366666 | 0.0420007346183333 |
28 | 0.93881165812473 | 0.122376683750540 | 0.06118834187527 |
29 | 0.915350857187883 | 0.169298285624233 | 0.0846491428121165 |
30 | 0.96999459341824 | 0.060010813163519 | 0.0300054065817595 |
31 | 0.969139862586762 | 0.0617202748264755 | 0.0308601374132378 |
32 | 0.95940901482896 | 0.0811819703420789 | 0.0405909851710394 |
33 | 0.944003640017449 | 0.111992719965103 | 0.0559963599825513 |
34 | 0.950066733818739 | 0.0998665323625226 | 0.0499332661812613 |
35 | 0.934246455000651 | 0.131507089998698 | 0.0657535449993488 |
36 | 0.924098206319373 | 0.151803587361254 | 0.0759017936806268 |
37 | 0.912040013390085 | 0.175919973219830 | 0.0879599866099148 |
38 | 0.889759671682952 | 0.220480656634097 | 0.110240328317048 |
39 | 0.871424571332092 | 0.257150857335816 | 0.128575428667908 |
40 | 0.854422864713495 | 0.29115427057301 | 0.145577135286505 |
41 | 0.873082047305222 | 0.253835905389556 | 0.126917952694778 |
42 | 0.879002337100278 | 0.241995325799445 | 0.120997662899722 |
43 | 0.854394839519212 | 0.291210320961576 | 0.145605160480788 |
44 | 0.832946797033082 | 0.334106405933837 | 0.167053202966918 |
45 | 0.80403281194084 | 0.39193437611832 | 0.19596718805916 |
46 | 0.764423985969424 | 0.471152028061151 | 0.235576014030576 |
47 | 0.77178978473309 | 0.456420430533822 | 0.228210215266911 |
48 | 0.732922320648086 | 0.534155358703828 | 0.267077679351914 |
49 | 0.762022037173552 | 0.475955925652895 | 0.237977962826448 |
50 | 0.727421680829643 | 0.545156638340713 | 0.272578319170357 |
51 | 0.732025870033391 | 0.535948259933218 | 0.267974129966609 |
52 | 0.691088379811213 | 0.617823240377574 | 0.308911620188787 |
53 | 0.783824333450139 | 0.432351333099722 | 0.216175666549861 |
54 | 0.745537443643084 | 0.508925112713832 | 0.254462556356916 |
55 | 0.77738578569718 | 0.445228428605640 | 0.222614214302820 |
56 | 0.813046770074056 | 0.373906459851887 | 0.186953229925944 |
57 | 0.841678435578654 | 0.316643128842693 | 0.158321564421347 |
58 | 0.80877101799277 | 0.382457964014461 | 0.191228982007231 |
59 | 0.7963047125591 | 0.407390574881799 | 0.203695287440900 |
60 | 0.953771384347292 | 0.0924572313054154 | 0.0462286156527077 |
61 | 0.943846394200954 | 0.112307211598091 | 0.0561536057990457 |
62 | 0.939181944150273 | 0.121636111699454 | 0.060818055849727 |
63 | 0.941285506587688 | 0.117428986824625 | 0.0587144934123124 |
64 | 0.936285253010511 | 0.127429493978978 | 0.0637147469894889 |
65 | 0.93571422727802 | 0.128571545443961 | 0.0642857727219803 |
66 | 0.94209539421283 | 0.115809211574340 | 0.0579046057871702 |
67 | 0.933127162716067 | 0.133745674567865 | 0.0668728372839326 |
68 | 0.915058717105969 | 0.169882565788062 | 0.084941282894031 |
69 | 0.924177990344299 | 0.151644019311402 | 0.0758220096557012 |
70 | 0.9395011518774 | 0.120997696245201 | 0.0604988481226003 |
71 | 0.92471227841932 | 0.150575443161359 | 0.0752877215806795 |
72 | 0.906016149272972 | 0.187967701454056 | 0.0939838507270279 |
73 | 0.91051301018374 | 0.178973979632520 | 0.0894869898162599 |
74 | 0.889212897563023 | 0.221574204873954 | 0.110787102436977 |
75 | 0.891500121658463 | 0.216999756683075 | 0.108499878341537 |
76 | 0.880042434691725 | 0.239915130616549 | 0.119957565308275 |
77 | 0.867877485426901 | 0.264245029146197 | 0.132122514573099 |
78 | 0.848360614402493 | 0.303278771195015 | 0.151639385597507 |
79 | 0.815539745383673 | 0.368920509232653 | 0.184460254616326 |
80 | 0.786815608789514 | 0.426368782420973 | 0.213184391210486 |
81 | 0.838014802724251 | 0.323970394551497 | 0.161985197275749 |
82 | 0.855350176111901 | 0.289299647776197 | 0.144649823888099 |
83 | 0.825778599329818 | 0.348442801340363 | 0.174221400670182 |
84 | 0.813985518602451 | 0.372028962795098 | 0.186014481397549 |
85 | 0.77784952258766 | 0.444300954824680 | 0.222150477412340 |
86 | 0.865177603598935 | 0.26964479280213 | 0.134822396401065 |
87 | 0.841552262239566 | 0.316895475520867 | 0.158447737760434 |
88 | 0.806750836096694 | 0.386498327806612 | 0.193249163903306 |
89 | 0.768935134385705 | 0.46212973122859 | 0.231064865614295 |
90 | 0.788325260626642 | 0.423349478746716 | 0.211674739373358 |
91 | 0.750726914622084 | 0.498546170755831 | 0.249273085377916 |
92 | 0.752691803530692 | 0.494616392938616 | 0.247308196469308 |
93 | 0.752250969449042 | 0.495498061101915 | 0.247749030550958 |
94 | 0.716810723345391 | 0.566378553309217 | 0.283189276654609 |
95 | 0.741292276678179 | 0.517415446643643 | 0.258707723321821 |
96 | 0.715634653964131 | 0.568730692071737 | 0.284365346035869 |
97 | 0.716478402692004 | 0.567043194615991 | 0.283521597307996 |
98 | 0.680193239497066 | 0.639613521005869 | 0.319806760502934 |
99 | 0.662147068680894 | 0.675705862638212 | 0.337852931319106 |
100 | 0.666044310614649 | 0.667911378770703 | 0.333955689385351 |
101 | 0.675564244760069 | 0.648871510479862 | 0.324435755239931 |
102 | 0.733438618965027 | 0.533122762069946 | 0.266561381034973 |
103 | 0.727681143648352 | 0.544637712703296 | 0.272318856351648 |
104 | 0.721566305894113 | 0.556867388211775 | 0.278433694105887 |
105 | 0.835339838456405 | 0.329320323087189 | 0.164660161543595 |
106 | 0.796005275212615 | 0.407989449574770 | 0.203994724787385 |
107 | 0.81729746048752 | 0.36540507902496 | 0.18270253951248 |
108 | 0.811034916883064 | 0.377930166233872 | 0.188965083116936 |
109 | 0.777866037311534 | 0.444267925376933 | 0.222133962688466 |
110 | 0.830557305485285 | 0.338885389029431 | 0.169442694514715 |
111 | 0.787046669284647 | 0.425906661430706 | 0.212953330715353 |
112 | 0.744379480365427 | 0.511241039269147 | 0.255620519634573 |
113 | 0.690895046774984 | 0.618209906450032 | 0.309104953225016 |
114 | 0.658928542405352 | 0.682142915189295 | 0.341071457594648 |
115 | 0.620022676924429 | 0.759954646151142 | 0.379977323075571 |
116 | 0.556828405892557 | 0.886343188214885 | 0.443171594107443 |
117 | 0.587078001500914 | 0.825843996998171 | 0.412921998499086 |
118 | 0.50554997580218 | 0.98890004839564 | 0.49445002419782 |
119 | 0.420152201892729 | 0.840304403785457 | 0.579847798107271 |
120 | 0.409249032550156 | 0.818498065100312 | 0.590750967449844 |
121 | 0.331363599999721 | 0.662727199999441 | 0.66863640000028 |
122 | 0.245640176315916 | 0.491280352631831 | 0.754359823684084 |
123 | 0.173455647644881 | 0.346911295289763 | 0.826544352355119 |
124 | 0.283385922777439 | 0.566771845554878 | 0.716614077222561 |
125 | 0.304775863222750 | 0.609551726445499 | 0.69522413677725 |
126 | 0.232158480209327 | 0.464316960418654 | 0.767841519790673 |
127 | 0.212077514085522 | 0.424155028171045 | 0.787922485914478 |
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 | 7 | 0.0619469026548673 | OK |