Multiple Linear Regression - Estimated Regression Equation |
Geen_Motivatie[t] = + 9.03233509669632 -0.0540534078257883Carrièremogelijkheden[t] -0.00254630971406542Leermogelijkheden[t] + 0.118165545509410Persoonlijke_redenen[t] + 0.0169605531731199Ouders[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) | 9.03233509669632 | 2.327646 | 3.8805 | 0.000159 | 8e-05 |
Carrièremogelijkheden | -0.0540534078257883 | 0.041893 | -1.2903 | 0.199071 | 0.099535 |
Leermogelijkheden | -0.00254630971406542 | 0.034064 | -0.0747 | 0.94052 | 0.47026 |
Persoonlijke_redenen | 0.118165545509410 | 0.044575 | 2.6509 | 0.008945 | 0.004473 |
Ouders | 0.0169605531731199 | 0.042173 | 0.4022 | 0.688168 | 0.344084 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.254003140632359 |
R-squared | 0.064517595451102 |
Adjusted R-squared | 0.0379790875206367 |
F-TEST (value) | 2.4310935498012 |
F-TEST (DF numerator) | 4 |
F-TEST (DF denominator) | 141 |
p-value | 0.0503716627248137 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.69065140618395 |
Sum Squared Residuals | 1020.78430353355 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 11 | 9.87586713780508 | 1.12413286219492 |
2 | 8 | 9.76322600884514 | -1.76322600884514 |
3 | 10 | 10.3877960636140 | -0.387796063613952 |
4 | 12 | 10.5772808582452 | 1.42271914175482 |
5 | 12 | 10.0210965011074 | 1.9789034988926 |
6 | 10 | 11.3078212679092 | -1.30782126790918 |
7 | 8 | 9.75462664887725 | -1.75462664887725 |
8 | 10 | 9.93575027088591 | 0.064249729114086 |
9 | 11 | 9.54297701441022 | 1.45702298558978 |
10 | 7 | 9.97370674036392 | -2.97370674036392 |
11 | 10 | 10.4138549158192 | -0.413854915819208 |
12 | 9 | 9.7637546520198 | -0.76375465201981 |
13 | 9 | 8.96499250266804 | 0.0350074973319553 |
14 | 11 | 11.1108763232602 | -0.110876323260239 |
15 | 12 | 10.2573159248917 | 1.74268407510833 |
16 | 5 | 9.67316669566112 | -4.67316669566112 |
17 | 10 | 9.8311727823724 | 0.168827217627608 |
18 | 11 | 10.2536826753535 | 0.74631732464652 |
19 | 12 | 9.9409545575486 | 2.05904544245141 |
20 | 9 | 10.6265540617482 | -1.62655406174819 |
21 | 3 | 9.6241762142654 | -6.62417621426539 |
22 | 10 | 11.7427425701035 | -1.7427425701035 |
23 | 7 | 8.26960923477113 | -1.26960923477113 |
24 | 9 | 11.3761992001231 | -2.37619920012314 |
25 | 9 | 10.6787911592870 | -1.67879115928704 |
26 | 10 | 11.2237033377444 | -1.22370333774444 |
27 | 9 | 10.4600460600337 | -1.46004606003371 |
28 | 19 | 11.6170794462142 | 7.3829205537858 |
29 | 14 | 9.71315569402507 | 4.28684430597493 |
30 | 5 | 10.2562586685953 | -5.25625866859531 |
31 | 13 | 11.0772153618933 | 1.92278463810670 |
32 | 7 | 10.2575392593608 | -3.25753925936077 |
33 | 8 | 9.38106980892971 | -1.38106980892971 |
34 | 11 | 11.3130926870445 | -0.313092687044458 |
35 | 11 | 10.7184825937798 | 0.281517406220169 |
36 | 12 | 10.0112017086102 | 1.98879829138984 |
37 | 9 | 10.2384196588330 | -1.23841965883297 |
38 | 13 | 11.5537863980643 | 1.44621360193572 |
39 | 12 | 10.8124953164418 | 1.18750468355819 |
40 | 11 | 11.1325196469038 | -0.132519646903811 |
41 | 18 | 9.68804244035193 | 8.31195755964807 |
42 | 8 | 9.25937493628225 | -1.25937493628225 |
43 | 14 | 10.7098458054498 | 3.29015419455024 |
44 | 10 | 9.75992775154029 | 0.240072248459714 |
45 | 13 | 10.1155261791268 | 2.88447382087317 |
46 | 13 | 9.73359330421019 | 3.26640669578981 |
47 | 8 | 8.83814561348395 | -0.838145613483954 |
48 | 10 | 10.6511838660259 | -0.6511838660259 |
49 | 8 | 10.0658056983040 | -2.06580569830397 |
50 | 9 | 10.1828326422449 | -1.18283264224487 |
51 | 10 | 10.6263533138774 | -0.626353313877385 |
52 | 9 | 10.2666375489226 | -1.26663754892260 |
53 | 9 | 9.29762958748339 | -0.297629587483387 |
54 | 9 | 11.4208787438449 | -2.42087874384492 |
55 | 10 | 11.6240186978917 | -1.62401869789166 |
56 | 8 | 10.4415293209703 | -2.44152932097029 |
57 | 11 | 10.4737083353193 | 0.526291664680694 |
58 | 11 | 10.9182939986123 | 0.0817060013877064 |
59 | 10 | 11.666315839207 | -1.66631583920701 |
60 | 23 | 10.4432268576229 | 12.5567731423771 |
61 | 9 | 10.2559908088346 | -1.25599080883457 |
62 | 12 | 10.8255992856076 | 1.17440071439236 |
63 | 9 | 9.81025108435722 | -0.810251084357217 |
64 | 9 | 10.4908476881996 | -1.49084768819957 |
65 | 8 | 9.61012665603774 | -1.61012665603774 |
66 | 9 | 9.82526108288087 | -0.825261082880872 |
67 | 9 | 10.1413171621010 | -1.14131716210104 |
68 | 9 | 9.65133684805865 | -0.651336848058655 |
69 | 11 | 10.9048627725772 | 0.0951372274227718 |
70 | 12 | 10.9518575261269 | 1.04814247387309 |
71 | 8 | 11.0171166391778 | -3.01711663917778 |
72 | 9 | 10.8471754767786 | -1.84717547677862 |
73 | 10 | 11.6028142983519 | -1.60281429835187 |
74 | 8 | 9.26179473699789 | -1.26179473699789 |
75 | 9 | 10.6412664869304 | -1.64126648693037 |
76 | 9 | 10.5011594360543 | -1.50115943605426 |
77 | 13 | 11.1397119165781 | 1.86028808342188 |
78 | 11 | 11.6446202454374 | -0.644620245437383 |
79 | 18 | 10.0475200290737 | 7.95247997092625 |
80 | 10 | 7.82172533475595 | 2.17827466524405 |
81 | 14 | 10.2786842617921 | 3.72131573820793 |
82 | 7 | 11.6503228232594 | -4.65032282325936 |
83 | 10 | 10.4089262242814 | -0.408926224281372 |
84 | 9 | 10.5619210463070 | -1.56192104630697 |
85 | 9 | 10.0030341568760 | -1.00303415687596 |
86 | 12 | 10.6879043000831 | 1.31209569991694 |
87 | 8 | 10.2541964467113 | -2.25419644671130 |
88 | 9 | 10.3809613521886 | -1.3809613521886 |
89 | 8 | 10.1064130383308 | -2.10641303833081 |
90 | 13 | 10.8538023339334 | 2.14619766606661 |
91 | 6 | 10.741153490192 | -4.74115349019201 |
92 | 11 | 10.4335179712326 | 0.566482028767416 |
93 | 10 | 10.9086522446946 | -0.90865224469458 |
94 | 10 | 11.0592646643137 | -1.05926466431375 |
95 | 14 | 10.9134543971810 | 3.08654560281898 |
96 | 13 | 10.6294727920578 | 2.37052720794224 |
97 | 10 | 10.3204527805154 | -0.320452780515408 |
98 | 8 | 8.50853892621273 | -0.508538926212731 |
99 | 10 | 10.8050945635326 | -0.805094563532586 |
100 | 8 | 10.4264005582826 | -2.42640055828261 |
101 | 10 | 10.7010231110128 | -0.701023111012776 |
102 | 7 | 10.5086492695997 | -3.50864926959974 |
103 | 11 | 10.7129652836301 | 0.28703471636986 |
104 | 10 | 10.4812730461718 | -0.481273046171791 |
105 | 8 | 8.9035680254608 | -0.903568025460796 |
106 | 12 | 10.8488136463757 | 1.1511863536243 |
107 | 12 | 10.1711357728429 | 1.82886422715708 |
108 | 11 | 11.0003045431667 | -0.000304543166748475 |
109 | 11 | 9.80757053028062 | 1.19242946971938 |
110 | 6 | 9.30388338560802 | -3.30388338560802 |
111 | 14 | 10.9792343879895 | 3.02076561201051 |
112 | 9 | 10.0407969848829 | -1.04079698488294 |
113 | 11 | 11.3406702761952 | -0.340670276195176 |
114 | 10 | 10.1351001744866 | -0.135100174486613 |
115 | 10 | 11.040629151616 | -1.04062915161600 |
116 | 8 | 9.57234896568422 | -1.57234896568422 |
117 | 9 | 10.4571273297241 | -1.45712732972413 |
118 | 10 | 10.6737656517488 | -0.673765651748847 |
119 | 10 | 10.3654227405432 | -0.365422740543248 |
120 | 12 | 9.57254971355502 | 2.42745028644498 |
121 | 10 | 11.1229972750021 | -1.12299727500208 |
122 | 11 | 9.0321124512975 | 1.96788754870251 |
123 | 16 | 11.1654209253159 | 4.83457907468414 |
124 | 12 | 10.1726248262606 | 1.82737517373938 |
125 | 10 | 10.3990165900203 | -0.399016590020257 |
126 | 13 | 10.8370947987571 | 2.16290520124288 |
127 | 8 | 9.51892812343323 | -1.51892812343323 |
128 | 12 | 10.0755223295287 | 1.92447767047131 |
129 | 10 | 10.5285434043166 | -0.528543404316617 |
130 | 8 | 9.77299429234395 | -1.77299429234395 |
131 | 14 | 10.1196958072038 | 3.88030419279621 |
132 | 9 | 10.1612183937474 | -1.16121839374739 |
133 | 12 | 10.1326803737710 | 1.86731962622902 |
134 | 10 | 10.4836477037438 | -0.483647703743817 |
135 | 9 | 9.97133920977434 | -0.971339209774336 |
136 | 10 | 11.1204658070519 | -1.1204658070519 |
137 | 11 | 10.7656787336349 | 0.234321266365054 |
138 | 11 | 10.1294492283561 | 0.870550771643947 |
139 | 10 | 10.6128846594801 | -0.612884659480148 |
140 | 10 | 10.3268408324729 | -0.326840832472879 |
141 | 20 | 11.0373231589470 | 8.96267684105296 |
142 | 10 | 10.0829973213103 | -0.0829973213102895 |
143 | 8 | 10.5344325172098 | -2.53443251720985 |
144 | 8 | 10.1647102925233 | -2.16471029252328 |
145 | 9 | 9.70408710857366 | -0.704087108573664 |
146 | 18 | 9.86900984925175 | 8.13099015074825 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
8 | 0.235656558544417 | 0.471313117088834 | 0.764343441455583 |
9 | 0.185436560171114 | 0.370873120342229 | 0.814563439828886 |
10 | 0.27782985637792 | 0.55565971275584 | 0.72217014362208 |
11 | 0.187719685229842 | 0.375439370459684 | 0.812280314770158 |
12 | 0.118701906363781 | 0.237403812727562 | 0.881298093636219 |
13 | 0.0677456422325624 | 0.135491284465125 | 0.932254357767438 |
14 | 0.0409701625519397 | 0.0819403251038794 | 0.95902983744806 |
15 | 0.0364903499098096 | 0.0729806998196193 | 0.96350965009019 |
16 | 0.0698821248998471 | 0.139764249799694 | 0.930117875100153 |
17 | 0.0439800589212208 | 0.0879601178424415 | 0.95601994107878 |
18 | 0.0450840938238962 | 0.0901681876477925 | 0.954915906176104 |
19 | 0.039820338115251 | 0.079640676230502 | 0.960179661884749 |
20 | 0.0312334408526720 | 0.0624668817053441 | 0.968766559147328 |
21 | 0.248168401838493 | 0.496336803676985 | 0.751831598161507 |
22 | 0.225306699304124 | 0.450613398608249 | 0.774693300695876 |
23 | 0.174131386995114 | 0.348262773990228 | 0.825868613004886 |
24 | 0.136683816990033 | 0.273367633980066 | 0.863316183009967 |
25 | 0.108879165030934 | 0.217758330061869 | 0.891120834969066 |
26 | 0.0807658450997813 | 0.161531690199563 | 0.919234154900219 |
27 | 0.05986861431011 | 0.11973722862022 | 0.94013138568989 |
28 | 0.365413508968292 | 0.730827017936584 | 0.634586491031708 |
29 | 0.491011500454018 | 0.982023000908036 | 0.508988499545982 |
30 | 0.581343116510281 | 0.837313766979437 | 0.418656883489719 |
31 | 0.529651783462315 | 0.94069643307537 | 0.470348216537685 |
32 | 0.508709146496099 | 0.982581707007802 | 0.491290853503901 |
33 | 0.456884573821490 | 0.913769147642979 | 0.54311542617851 |
34 | 0.398657091851706 | 0.797314183703411 | 0.601342908148294 |
35 | 0.36221387762561 | 0.72442775525122 | 0.63778612237439 |
36 | 0.436239006648619 | 0.872478013297239 | 0.563760993351381 |
37 | 0.385146785033639 | 0.770293570067277 | 0.614853214966361 |
38 | 0.344475660387055 | 0.68895132077411 | 0.655524339612945 |
39 | 0.302809437213082 | 0.605618874426163 | 0.697190562786918 |
40 | 0.260607312500596 | 0.521214625001192 | 0.739392687499404 |
41 | 0.719368138305378 | 0.561263723389244 | 0.280631861694622 |
42 | 0.689716968057707 | 0.620566063884586 | 0.310283031942293 |
43 | 0.71969179701898 | 0.56061640596204 | 0.28030820298102 |
44 | 0.673781959033132 | 0.652436081933736 | 0.326218040966868 |
45 | 0.692119782076572 | 0.615760435846857 | 0.307880217923428 |
46 | 0.698559617871046 | 0.602880764257909 | 0.301440382128954 |
47 | 0.655213787155387 | 0.689572425689226 | 0.344786212844613 |
48 | 0.608030669403422 | 0.783938661193156 | 0.391969330596578 |
49 | 0.606341156692955 | 0.78731768661409 | 0.393658843307045 |
50 | 0.560554411898216 | 0.878891176203568 | 0.439445588101784 |
51 | 0.511513271749581 | 0.976973456500837 | 0.488486728250419 |
52 | 0.470737436867006 | 0.941474873734011 | 0.529262563132994 |
53 | 0.427066095240331 | 0.854132190480662 | 0.572933904759669 |
54 | 0.430267312401462 | 0.860534624802924 | 0.569732687598538 |
55 | 0.401749108179788 | 0.803498216359577 | 0.598250891820212 |
56 | 0.39013848929211 | 0.78027697858422 | 0.60986151070789 |
57 | 0.349818941628352 | 0.699637883256705 | 0.650181058371648 |
58 | 0.304537284837323 | 0.609074569674645 | 0.695462715162677 |
59 | 0.275547301462373 | 0.551094602924746 | 0.724452698537627 |
60 | 0.971526165752753 | 0.0569476684944931 | 0.0284738342472466 |
61 | 0.96591092669261 | 0.0681781466147811 | 0.0340890733073905 |
62 | 0.958508487289934 | 0.082983025420133 | 0.0414915127100665 |
63 | 0.947707368903884 | 0.104585262192232 | 0.0522926310961158 |
64 | 0.937841709640861 | 0.124316580718277 | 0.0621582903591386 |
65 | 0.930452916266247 | 0.139094167467506 | 0.0695470837337531 |
66 | 0.91729007308009 | 0.165419853839821 | 0.0827099269199103 |
67 | 0.901448570549018 | 0.197102858901965 | 0.0985514294509825 |
68 | 0.881115175801793 | 0.237769648396415 | 0.118884824198207 |
69 | 0.855557701023573 | 0.288884597952854 | 0.144442298976427 |
70 | 0.833666772267549 | 0.332666455464902 | 0.166333227732451 |
71 | 0.842446128270764 | 0.315107743458471 | 0.157553871729235 |
72 | 0.827599888419274 | 0.344800223161452 | 0.172400111580726 |
73 | 0.804866297535008 | 0.390267404929983 | 0.195133702464992 |
74 | 0.780409248762202 | 0.439181502475596 | 0.219590751237798 |
75 | 0.757754850084903 | 0.484490299830194 | 0.242245149915097 |
76 | 0.735829218712198 | 0.528341562575604 | 0.264170781287802 |
77 | 0.71609197121454 | 0.567816057570919 | 0.283908028785459 |
78 | 0.675094801926475 | 0.64981039614705 | 0.324905198073525 |
79 | 0.927404821415146 | 0.145190357169709 | 0.0725951785848544 |
80 | 0.917818735708757 | 0.164362528582485 | 0.0821812642912427 |
81 | 0.93444461521519 | 0.131110769569620 | 0.0655553847848099 |
82 | 0.956474080848795 | 0.0870518383024109 | 0.0435259191512054 |
83 | 0.94477785672174 | 0.110444286556519 | 0.0552221432782595 |
84 | 0.936995473334354 | 0.126009053331293 | 0.0630045266656465 |
85 | 0.922278727549096 | 0.155442544901809 | 0.0777212724509044 |
86 | 0.907140514108681 | 0.185718971782637 | 0.0928594858913187 |
87 | 0.908116579371575 | 0.183766841256851 | 0.0918834206284255 |
88 | 0.890986418301254 | 0.218027163397492 | 0.109013581698746 |
89 | 0.882749696810192 | 0.234500606379615 | 0.117250303189808 |
90 | 0.874168151111099 | 0.251663697777802 | 0.125831848888901 |
91 | 0.94176561214612 | 0.11646877570776 | 0.05823438785388 |
92 | 0.925605200358975 | 0.148789599282051 | 0.0743947996410254 |
93 | 0.913778801726225 | 0.17244239654755 | 0.086221198273775 |
94 | 0.897098454418753 | 0.205803091162493 | 0.102901545581247 |
95 | 0.905606981801883 | 0.188786036396234 | 0.0943930181981172 |
96 | 0.9031462187288 | 0.193707562542400 | 0.0968537812711999 |
97 | 0.879852851994461 | 0.240294296011077 | 0.120147148005539 |
98 | 0.856739217638572 | 0.286521564722855 | 0.143260782361428 |
99 | 0.829051061331179 | 0.341897877337642 | 0.170948938668821 |
100 | 0.872426169049661 | 0.255147661900678 | 0.127573830950339 |
101 | 0.852469624680287 | 0.295060750639426 | 0.147530375319713 |
102 | 0.857234709953011 | 0.285530580093978 | 0.142765290046989 |
103 | 0.823872564724051 | 0.352254870551898 | 0.176127435275949 |
104 | 0.799277968157546 | 0.401444063684908 | 0.200722031842454 |
105 | 0.761555446470334 | 0.476889107059332 | 0.238444553529666 |
106 | 0.7273573633666 | 0.5452852732668 | 0.2726426366334 |
107 | 0.688843987218354 | 0.622312025563293 | 0.311156012781646 |
108 | 0.63823354430408 | 0.723532911391841 | 0.361766455695920 |
109 | 0.587444556445029 | 0.825110887109942 | 0.412555443554971 |
110 | 0.56818015586279 | 0.86363968827442 | 0.43181984413721 |
111 | 0.56044833273986 | 0.87910333452028 | 0.43955166726014 |
112 | 0.533034842996947 | 0.933930314006107 | 0.466965157003053 |
113 | 0.524912899389269 | 0.950174201221462 | 0.475087100610731 |
114 | 0.479677569580341 | 0.959355139160683 | 0.520322430419659 |
115 | 0.426701107388578 | 0.853402214777156 | 0.573298892611422 |
116 | 0.452906175919664 | 0.905812351839329 | 0.547093824080336 |
117 | 0.410828140410511 | 0.821656280821022 | 0.589171859589489 |
118 | 0.355892393934301 | 0.711784787868601 | 0.644107606065699 |
119 | 0.305666239157093 | 0.611332478314187 | 0.694333760842907 |
120 | 0.271152272114799 | 0.542304544229599 | 0.7288477278852 |
121 | 0.258583364540526 | 0.517166729081052 | 0.741416635459474 |
122 | 0.267667243718723 | 0.535334487437446 | 0.732332756281277 |
123 | 0.269219599098851 | 0.538439198197701 | 0.73078040090115 |
124 | 0.218782420894668 | 0.437564841789335 | 0.781217579105332 |
125 | 0.215905824819102 | 0.431811649638205 | 0.784094175180898 |
126 | 0.174974813680620 | 0.349949627361241 | 0.82502518631938 |
127 | 0.148199915597983 | 0.296399831195966 | 0.851800084402017 |
128 | 0.110248146497742 | 0.220496292995485 | 0.889751853502258 |
129 | 0.176893714202571 | 0.353787428405143 | 0.823106285797429 |
130 | 0.132997135628892 | 0.265994271257783 | 0.867002864371108 |
131 | 0.217411737248461 | 0.434823474496923 | 0.782588262751539 |
132 | 0.206316927827260 | 0.412633855654519 | 0.79368307217274 |
133 | 0.147127476402308 | 0.294254952804617 | 0.852872523597692 |
134 | 0.142043432351484 | 0.284086864702968 | 0.857956567648516 |
135 | 0.519618504379345 | 0.96076299124131 | 0.480381495620655 |
136 | 0.46286576609792 | 0.92573153219584 | 0.53713423390208 |
137 | 0.795634488451696 | 0.408731023096608 | 0.204365511548304 |
138 | 0.7090209786546 | 0.581958042690801 | 0.290979021345400 |
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 | 10 | 0.0763358778625954 | OK |