Multiple Linear Regression - Estimated Regression Equation |
CM+D[t] = + 44.9403520933643 + 0.355766125652141`PE+PC`[t] -0.231653308417249happiness[t] + 0.263610054527117depression[t] -0.466508840964572connected[t] -0.147481738970619separated[t] + 0.0813939733229003populariteit[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) | 44.9403520933643 | 50.087201 | 0.8972 | 0.371401 | 0.185701 |
`PE+PC` | 0.355766125652141 | 0.11166 | 3.1862 | 0.001841 | 0.000921 |
happiness | -0.231653308417249 | 1.290405 | -0.1795 | 0.857835 | 0.428917 |
depression | 0.263610054527117 | 0.587324 | 0.4488 | 0.654369 | 0.327184 |
connected | -0.466508840964572 | 0.666857 | -0.6996 | 0.485565 | 0.242783 |
separated | -0.147481738970619 | 1.023207 | -0.1441 | 0.885636 | 0.442818 |
populariteit | 0.0813939733229003 | 0.590047 | 0.1379 | 0.890517 | 0.445259 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.293830789401748 |
R-squared | 0.0863365328004547 |
Adjusted R-squared | 0.0402694672273682 |
F-TEST (value) | 1.87414873785438 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 119 |
p-value | 0.0907825194364746 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 6.9205070293393 |
Sum Squared Residuals | 5699.31668763302 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 38 | 32.8982444031912 | 5.10175559680876 |
2 | 36 | 30.0521153979741 | 5.94788460202587 |
3 | 23 | 33.6097766544955 | -10.6097766544955 |
4 | 30 | 31.1194137749306 | -1.11941377493055 |
5 | 26 | 32.186712151887 | -6.18671215188697 |
6 | 26 | 31.4751799005827 | -5.47517990058269 |
7 | 30 | 28.6636842212676 | 1.33631577873236 |
8 | 27 | 32.5424782775391 | -5.54247827753911 |
9 | 34 | 31.6379678472285 | 2.36203215277151 |
10 | 28 | 31.8126835277465 | -3.81268352774652 |
11 | 36 | 33.9655427801477 | 2.03445721985232 |
12 | 42 | 33.9655427801477 | 8.03445721985232 |
13 | 31 | 32.3495000985328 | -1.34950009853277 |
14 | 26 | 31.4751799005827 | -5.47517990058269 |
15 | 16 | 30.0867487238762 | -14.0867487238762 |
16 | 23 | 31.6379678472285 | -8.6379678472285 |
17 | 45 | 34.677075031452 | 10.322924968548 |
18 | 30 | 34.5654908257685 | -4.56549082576852 |
19 | 45 | 31.1194137749305 | 13.8805862250695 |
20 | 30 | 31.7193618205514 | -1.71936182055139 |
21 | 24 | 33.2540105288434 | -9.2540105288434 |
22 | 29 | 30.7982809751805 | -1.79828097518049 |
23 | 30 | 32.5242157790508 | -2.5242157790508 |
24 | 31 | 33.7725646011413 | -2.77256460114134 |
25 | 34 | 30.2149033446199 | 3.78509665538007 |
26 | 41 | 36.8116717853648 | 4.18832821463519 |
27 | 37 | 32.8982444031913 | 4.10175559680874 |
28 | 33 | 31.4751799005827 | 1.52482009941731 |
29 | 48 | 30.2149033446199 | 17.7850966553801 |
30 | 44 | 30.2962973179428 | 13.7037026820572 |
31 | 29 | 30.9264355959242 | -1.92643559592421 |
32 | 44 | 35.3703447842679 | 8.62965521573207 |
33 | 43 | 34.8398629780978 | 8.16013702190224 |
34 | 31 | 33.0610323498371 | -2.06103234983706 |
35 | 28 | 32.8982444031913 | -4.89824440319126 |
36 | 26 | 32.3495000985328 | -6.34950009853277 |
37 | 30 | 31.1194137749305 | -1.11941377493055 |
38 | 27 | 31.3974127793962 | -4.39741277939621 |
39 | 34 | 33.2540105288434 | 0.745989471156603 |
40 | 47 | 30.0521153979741 | 16.9478846020259 |
41 | 37 | 34.4910914561624 | 2.50890854383757 |
42 | 27 | 31.8309460262348 | -4.83094602623483 |
43 | 30 | 31.8309460262348 | -1.83094602623483 |
44 | 36 | 40.532120988532 | -4.53212098853202 |
45 | 39 | 31.8309460262348 | 7.16905397376517 |
46 | 32 | 31.8309460262348 | 0.169053973765168 |
47 | 25 | 31.8309460262348 | -6.83094602623483 |
48 | 19 | 28.6290508953656 | -9.62905089536556 |
49 | 29 | 32.186712151887 | -3.18671215188697 |
50 | 26 | 32.1684496533987 | -6.16844965339866 |
51 | 31 | 30.0867487238762 | 0.913251276123796 |
52 | 31 | 32.186712151887 | -1.18671215188697 |
53 | 31 | 31.0078295692471 | -0.00782956924710881 |
54 | 39 | 31.4751799005827 | 7.5248200994173 |
55 | 28 | 32.186712151887 | -4.18671215188697 |
56 | 22 | 30.4078815236263 | -8.40788152362627 |
57 | 31 | 31.4751799005827 | -0.475179900582691 |
58 | 36 | 31.6379678472285 | 4.36203215277151 |
59 | 28 | 30.4078815236263 | -2.40788152362627 |
60 | 39 | 33.2540105288434 | 5.7459894711566 |
61 | 35 | 32.186712151887 | 2.81328784811303 |
62 | 33 | 31.8309460262348 | 1.16905397376517 |
63 | 27 | 31.4751799005827 | -4.47517990058269 |
64 | 33 | 32.8982444031913 | 0.101755596808744 |
65 | 31 | 31.1194137749305 | -0.119413774930549 |
66 | 39 | 31.6379678472285 | 7.36203215277151 |
67 | 37 | 33.0610323498371 | 3.93896765016294 |
68 | 24 | 31.7193618205514 | -7.71936182055139 |
69 | 28 | 32.5771116034412 | -4.57711160344119 |
70 | 37 | 27.9521519699634 | 9.04784803003665 |
71 | 32 | 33.0610323498371 | -1.06103234983706 |
72 | 31 | 29.0194503469198 | 1.98054965308022 |
73 | 29 | 29.3752164725719 | -0.37521647257192 |
74 | 40 | 35.3886072827562 | 4.61139271724376 |
75 | 40 | 32.7052662241849 | 7.29473377581509 |
76 | 15 | 29.696349272322 | -14.696349272322 |
77 | 27 | 29.6780867738337 | -2.67808677383367 |
78 | 32 | 32.1684496533987 | -0.168449653398659 |
79 | 28 | 32.186712151887 | -4.18671215188697 |
80 | 41 | 36.6186936063585 | 4.38130639364153 |
81 | 47 | 32.8982444031913 | 14.1017555968087 |
82 | 42 | 35.3886072827562 | 6.61139271724376 |
83 | 32 | 33.3651738076091 | -1.36517380760909 |
84 | 33 | 33.8539585744642 | -0.85395857446424 |
85 | 29 | 35.0328411571041 | -6.0328411571041 |
86 | 37 | 32.3495000985328 | 4.65049990146723 |
87 | 39 | 30.652063443595 | 8.34793655640503 |
88 | 29 | 30.7636476492784 | -1.76364764927841 |
89 | 33 | 32.8982444031913 | 0.101755596808744 |
90 | 31 | 31.1011512764422 | -0.101151276442236 |
91 | 21 | 31.7193618205514 | -10.7193618205514 |
92 | 36 | 34.8398629780978 | 1.16013702190224 |
93 | 32 | 35.1956291037499 | -3.1956291037499 |
94 | 15 | 31.4751799005827 | -16.4751799005827 |
95 | 25 | 33.5915141560072 | -8.59151415600723 |
96 | 28 | 30.0521153979741 | -2.05211539797413 |
97 | 39 | 33.2540105288434 | 5.7459894711566 |
98 | 31 | 28.9665545225294 | 2.03344547747061 |
99 | 40 | 28.6290508953656 | 11.3709491046344 |
100 | 25 | 31.4751799005827 | -6.4751799005827 |
101 | 36 | 33.7725646011413 | 2.22743539885866 |
102 | 23 | 29.1476049676635 | -6.1476049676635 |
103 | 39 | 30.0521153979741 | 8.94788460202588 |
104 | 31 | 33.7725646011413 | -2.77256460114134 |
105 | 23 | 29.696349272322 | -6.69634927232199 |
106 | 31 | 31.6379678472285 | -0.637967847228491 |
107 | 28 | 32.8799819047029 | -4.87998190470294 |
108 | 47 | 31.4569174020944 | 15.5430825979056 |
109 | 25 | 32.0751279462035 | -7.07512794620353 |
110 | 26 | 30.389619025138 | -4.38961902513795 |
111 | 24 | 32.4170369123601 | -8.41703691236012 |
112 | 30 | 32.7866601975078 | -2.78666019750782 |
113 | 25 | 33.423793079206 | -8.423793079206 |
114 | 44 | 31.8397666166868 | 12.1602333833132 |
115 | 38 | 40.6135149618549 | -2.61351496185492 |
116 | 36 | 28.9848170210177 | 7.0151829789823 |
117 | 34 | 33.2886438547455 | 0.711356145254524 |
118 | 45 | 32.0007285765974 | 12.9992714234026 |
119 | 29 | 31.2822017215763 | -2.28220172157635 |
120 | 25 | 32.186712151887 | -7.18671215188697 |
121 | 30 | 33.2540105288434 | -3.2540105288434 |
122 | 27 | 32.1565219195264 | -5.15652191952643 |
123 | 44 | 33.4167984754892 | 10.5832015245108 |
124 | 31 | 36.4559056597127 | -5.45590565971267 |
125 | 35 | 33.6097766544955 | 1.39022334550446 |
126 | 47 | 37.1674379110169 | 9.83256208898305 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.630865749551737 | 0.738268500896526 | 0.369134250448263 |
11 | 0.649010379098078 | 0.701979241803843 | 0.350989620901922 |
12 | 0.750322233252325 | 0.49935553349535 | 0.249677766747675 |
13 | 0.653013055425938 | 0.693973889148124 | 0.346986944574062 |
14 | 0.581752019758591 | 0.836495960482818 | 0.418247980241409 |
15 | 0.70376917999455 | 0.592461640010899 | 0.29623082000545 |
16 | 0.709546451005659 | 0.580907097988682 | 0.290453548994341 |
17 | 0.783843172668688 | 0.432313654662624 | 0.216156827331312 |
18 | 0.721071345835328 | 0.557857308329344 | 0.278928654164672 |
19 | 0.864294800005245 | 0.27141039998951 | 0.135705199994755 |
20 | 0.8184980555564 | 0.3630038888872 | 0.1815019444436 |
21 | 0.846794451639475 | 0.306411096721051 | 0.153205548360525 |
22 | 0.811730484202915 | 0.37653903159417 | 0.188269515797085 |
23 | 0.758533954076168 | 0.482932091847665 | 0.241466045923832 |
24 | 0.698540050209592 | 0.602919899580817 | 0.301459949790409 |
25 | 0.659486299563134 | 0.681027400873732 | 0.340513700436866 |
26 | 0.623980497408082 | 0.752039005183835 | 0.376019502591918 |
27 | 0.57349695456031 | 0.853006090879381 | 0.42650304543969 |
28 | 0.505386732636266 | 0.989226534727468 | 0.494613267363734 |
29 | 0.803270614967656 | 0.393458770064689 | 0.196729385032344 |
30 | 0.871164357571934 | 0.257671284856131 | 0.128835642428066 |
31 | 0.845839392132 | 0.308321215735999 | 0.154160607867999 |
32 | 0.882452193598322 | 0.235095612803355 | 0.117547806401678 |
33 | 0.885383305338714 | 0.229233389322572 | 0.114616694661286 |
34 | 0.859450731343907 | 0.281098537312185 | 0.140549268656093 |
35 | 0.841837996933999 | 0.316324006132002 | 0.158162003066001 |
36 | 0.840892889810558 | 0.318214220378884 | 0.159107110189442 |
37 | 0.80367566177942 | 0.39264867644116 | 0.19632433822058 |
38 | 0.777328479588577 | 0.445343040822846 | 0.222671520411423 |
39 | 0.731229564466456 | 0.537540871067088 | 0.268770435533544 |
40 | 0.883536439378766 | 0.232927121242468 | 0.116463560621234 |
41 | 0.852832705587927 | 0.294334588824146 | 0.147167294412073 |
42 | 0.839523369799656 | 0.320953260400687 | 0.160476630200344 |
43 | 0.807080319929575 | 0.385839360140849 | 0.192919680070425 |
44 | 0.77530233543019 | 0.449395329139619 | 0.22469766456981 |
45 | 0.770421229365045 | 0.459157541269909 | 0.229578770634955 |
46 | 0.726650660836609 | 0.546698678326782 | 0.273349339163391 |
47 | 0.730627074503713 | 0.538745850992574 | 0.269372925496287 |
48 | 0.785589769837111 | 0.428820460325778 | 0.214410230162889 |
49 | 0.752291680214057 | 0.495416639571886 | 0.247708319785943 |
50 | 0.744008219149793 | 0.511983561700415 | 0.255991780850207 |
51 | 0.712494131547876 | 0.575011736904247 | 0.287505868452124 |
52 | 0.665570071871698 | 0.668859856256605 | 0.334429928128302 |
53 | 0.616753460978762 | 0.766493078042477 | 0.383246539021238 |
54 | 0.621744007032523 | 0.756511985934954 | 0.378255992967477 |
55 | 0.58836529337214 | 0.823269413255721 | 0.411634706627861 |
56 | 0.613316898291463 | 0.773366203417074 | 0.386683101708537 |
57 | 0.560914805623974 | 0.878170388752052 | 0.439085194376026 |
58 | 0.526234761911479 | 0.947530476177043 | 0.473765238088521 |
59 | 0.479201733192756 | 0.958403466385512 | 0.520798266807244 |
60 | 0.462063204436375 | 0.92412640887275 | 0.537936795563625 |
61 | 0.417459280097373 | 0.834918560194747 | 0.582540719902627 |
62 | 0.367186894486898 | 0.734373788973796 | 0.632813105513102 |
63 | 0.337477636503059 | 0.674955273006117 | 0.662522363496941 |
64 | 0.28981459180458 | 0.57962918360916 | 0.71018540819542 |
65 | 0.245579540271585 | 0.491159080543169 | 0.754420459728415 |
66 | 0.247796102359473 | 0.495592204718945 | 0.752203897640527 |
67 | 0.219347387632947 | 0.438694775265895 | 0.780652612367053 |
68 | 0.231603041927502 | 0.463206083855005 | 0.768396958072498 |
69 | 0.218804508561655 | 0.43760901712331 | 0.781195491438345 |
70 | 0.243049264548327 | 0.486098529096655 | 0.756950735451673 |
71 | 0.203750044555963 | 0.407500089111925 | 0.796249955444037 |
72 | 0.170481750467042 | 0.340963500934084 | 0.829518249532958 |
73 | 0.142862381121044 | 0.285724762242089 | 0.857137618878956 |
74 | 0.126948569636984 | 0.253897139273967 | 0.873051430363016 |
75 | 0.129764043673037 | 0.259528087346074 | 0.870235956326963 |
76 | 0.247825725079296 | 0.495651450158592 | 0.752174274920704 |
77 | 0.21259121143932 | 0.425182422878641 | 0.78740878856068 |
78 | 0.175616748802775 | 0.35123349760555 | 0.824383251197225 |
79 | 0.153947304267063 | 0.307894608534126 | 0.846052695732937 |
80 | 0.136330664985008 | 0.272661329970016 | 0.863669335014992 |
81 | 0.244562834040582 | 0.489125668081165 | 0.755437165959418 |
82 | 0.244879299918458 | 0.489758599836916 | 0.755120700081542 |
83 | 0.214437777637476 | 0.428875555274951 | 0.785562222362524 |
84 | 0.177196016969967 | 0.354392033939934 | 0.822803983030033 |
85 | 0.162133695054087 | 0.324267390108174 | 0.837866304945913 |
86 | 0.146103503659681 | 0.292207007319361 | 0.85389649634032 |
87 | 0.172339487834737 | 0.344678975669474 | 0.827660512165263 |
88 | 0.13894341617379 | 0.277886832347581 | 0.86105658382621 |
89 | 0.108830924015225 | 0.21766184803045 | 0.891169075984775 |
90 | 0.0843645959014932 | 0.168729191802986 | 0.915635404098507 |
91 | 0.103671612403562 | 0.207343224807125 | 0.896328387596438 |
92 | 0.081738151782618 | 0.163476303565236 | 0.918261848217382 |
93 | 0.0631177282464942 | 0.126235456492988 | 0.936882271753506 |
94 | 0.187661271320266 | 0.375322542640532 | 0.812338728679734 |
95 | 0.232131546251456 | 0.464263092502912 | 0.767868453748544 |
96 | 0.192483099420433 | 0.384966198840866 | 0.807516900579567 |
97 | 0.171231080416248 | 0.342462160832496 | 0.828768919583752 |
98 | 0.137792451850565 | 0.27558490370113 | 0.862207548149435 |
99 | 0.192497068147115 | 0.384994136294229 | 0.807502931852885 |
100 | 0.181547026851871 | 0.363094053703741 | 0.818452973148129 |
101 | 0.147936242211387 | 0.295872484422774 | 0.852063757788613 |
102 | 0.127134886998847 | 0.254269773997693 | 0.872865113001153 |
103 | 0.146482904659686 | 0.292965809319372 | 0.853517095340314 |
104 | 0.109320868807463 | 0.218641737614925 | 0.890679131192537 |
105 | 0.0995427907576756 | 0.199085581515351 | 0.900457209242324 |
106 | 0.0696144287645245 | 0.139228857529049 | 0.930385571235475 |
107 | 0.0899089805646203 | 0.179817961129241 | 0.91009101943538 |
108 | 0.13261475008314 | 0.26522950016628 | 0.86738524991686 |
109 | 0.110443103993595 | 0.220886207987191 | 0.889556896006405 |
110 | 0.179826018846332 | 0.359652037692664 | 0.820173981153668 |
111 | 0.126258424343333 | 0.252516848686666 | 0.873741575656667 |
112 | 0.0831391952468005 | 0.166278390493601 | 0.9168608047532 |
113 | 0.233852160070004 | 0.467704320140007 | 0.766147839929996 |
114 | 0.169587355589543 | 0.339174711179086 | 0.830412644410457 |
115 | 0.10291455949842 | 0.20582911899684 | 0.89708544050158 |
116 | 0.143409025663522 | 0.286818051327044 | 0.856590974336478 |
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 | 0 | 0 | OK |