Multiple Linear Regression - Estimated Regression Equation |
CM+D[t] = + 44.1744764200473 + 0.355225335188637`PE+PC`[t] -0.223616457775059happiness[t] + 0.253261494075167depression[t] -0.457390995302612connected[t] -0.134163985832665separated[t] + 0.0731026269579095populariteit[t] + 0.00173563261092779t + 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) | 44.1744764200473 | 50.90141 | 0.8678 | 0.387241 | 0.193621 |
`PE+PC` | 0.355225335188637 | 0.112263 | 3.1642 | 0.001978 | 0.000989 |
happiness | -0.223616457775059 | 1.298405 | -0.1722 | 0.863557 | 0.431778 |
depression | 0.253261494075167 | 0.599177 | 0.4227 | 0.673296 | 0.336648 |
connected | -0.457390995302612 | 0.676092 | -0.6765 | 0.500033 | 0.250017 |
separated | -0.134163985832665 | 1.036453 | -0.1294 | 0.897226 | 0.448613 |
populariteit | 0.0731026269579095 | 0.598537 | 0.1221 | 0.902999 | 0.4515 |
t | 0.00173563261092779 | 0.017724 | 0.0979 | 0.922159 | 0.46108 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.293957093886829 |
R-squared | 0.08641077304639 |
Adjusted R-squared | 0.0322148019559215 |
F-TEST (value) | 1.59441322496364 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 118 |
p-value | 0.143625117302426 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 6.94948698655691 |
Sum Squared Residuals | 5698.85358640621 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 38 | 32.800585831168 | 5.19941416883201 |
2 | 36 | 29.9605187822698 | 6.03948121773016 |
3 | 23 | 33.5145077667671 | -10.5145077667671 |
4 | 30 | 31.0296660530576 | -1.02966605305760 |
5 | 26 | 32.0970776912344 | -6.09707769123444 |
6 | 26 | 31.3883626534681 | -5.3883626534681 |
7 | 30 | 28.5819280376646 | 1.41807196233537 |
8 | 27 | 32.4575099242559 | -5.45750992425586 |
9 | 34 | 31.5397748052167 | 2.46022519478330 |
10 | 28 | 31.7013690820909 | -3.70136908209087 |
11 | 36 | 33.8836181628432 | 2.11638183715681 |
12 | 42 | 33.8853537954541 | 8.11464620454588 |
13 | 31 | 32.2571680060377 | -1.25716800603768 |
14 | 26 | 31.4022477143555 | -5.40224771435552 |
15 | 16 | 30.0167144393066 | -14.0167144393066 |
16 | 23 | 31.5519242334932 | -8.5519242334932 |
17 | 45 | 34.604482628886 | 10.3955173711140 |
18 | 30 | 34.4703008071820 | -4.47030080718205 |
19 | 45 | 31.0557005422215 | 13.9442994577785 |
20 | 30 | 31.6319693908948 | -1.63196939089481 |
21 | 24 | 33.1905238185752 | -9.1905238185752 |
22 | 29 | 30.7393145379604 | -1.73931453796036 |
23 | 30 | 32.4343829764102 | -2.43438297641020 |
24 | 31 | 33.6971613055124 | -2.69716130551243 |
25 | 34 | 30.146643586237 | 3.85335641376300 |
26 | 41 | 36.7514553335162 | 4.2485446664838 |
27 | 37 | 32.8457122790521 | 4.15428772094788 |
28 | 33 | 31.4265465709085 | 1.57345342909149 |
29 | 48 | 30.1535861166807 | 17.8464138833193 |
30 | 44 | 30.2284243762495 | 13.7715756237505 |
31 | 29 | 30.8675080522798 | -1.86750805227983 |
32 | 44 | 35.2918063514176 | 8.70819364858235 |
33 | 43 | 34.7784580045767 | 8.2215419954233 |
34 | 31 | 33.0040669612444 | -2.00406696124444 |
35 | 28 | 32.8595973399395 | -4.85959733993954 |
36 | 26 | 32.297087556089 | -6.29708755608902 |
37 | 30 | 31.0869419292182 | -1.08694192921822 |
38 | 27 | 31.3747665845804 | -4.37476658458038 |
39 | 34 | 33.2217652055719 | 0.778234794428106 |
40 | 47 | 30.0264728214851 | 16.9735271785149 |
41 | 37 | 34.4122495489797 | 2.58775045102032 |
42 | 27 | 31.8060707626501 | -4.80607076265013 |
43 | 30 | 31.8078063952611 | -1.80780639526106 |
44 | 36 | 40.4811553263151 | -4.48115532631508 |
45 | 39 | 31.8112776604829 | 7.18872233951709 |
46 | 32 | 31.8130132930938 | 0.186986706906158 |
47 | 25 | 31.8147489257048 | -6.81474892570477 |
48 | 19 | 28.6194565416180 | -9.61945654161797 |
49 | 29 | 32.1734455261153 | -3.17344552611526 |
50 | 26 | 32.1260197217166 | -6.12601972171661 |
51 | 31 | 30.0791972133 | 0.920802786700005 |
52 | 31 | 32.1786524239480 | -1.17865242394805 |
53 | 31 | 30.9787945966782 | 0.0212054033218439 |
54 | 39 | 31.4716730187926 | 7.52832698120737 |
55 | 28 | 32.1838593217808 | -4.18385932178083 |
56 | 22 | 30.4094682784486 | -8.40946827844857 |
57 | 31 | 31.4768799166254 | -0.476879916625412 |
58 | 36 | 31.6248208031522 | 4.37517919684784 |
59 | 28 | 30.4146751762814 | -2.41467517628136 |
60 | 39 | 33.2582134904014 | 5.74178650959862 |
61 | 35 | 32.1942731174464 | 2.80572688255360 |
62 | 33 | 31.8407834148687 | 1.15921658513131 |
63 | 27 | 31.487293712291 | -4.48729371229098 |
64 | 33 | 32.9099306856565 | 0.0900693143435477 |
65 | 31 | 31.1355396423242 | -0.135539642324197 |
66 | 39 | 31.6387058640396 | 7.36129413596042 |
67 | 37 | 33.0613428374051 | 3.93865716259494 |
68 | 24 | 31.7152797562193 | -7.71527975621935 |
69 | 28 | 32.5970159466172 | -4.59701594661715 |
70 | 37 | 27.9808222217758 | 9.0191777782242 |
71 | 32 | 33.0682853678488 | -1.06828536784877 |
72 | 31 | 29.0499694925636 | 1.95003050743643 |
73 | 29 | 29.4069304603631 | -0.406930460363133 |
74 | 40 | 35.4138643580862 | 4.58613564191381 |
75 | 40 | 32.7200025631038 | 7.27999743689616 |
76 | 15 | 29.7337302602899 | -14.7337302602899 |
77 | 27 | 29.6863044558912 | -2.68630445589121 |
78 | 32 | 32.1746174348226 | -0.174617434822594 |
79 | 28 | 32.2255145044431 | -4.22551450444309 |
80 | 41 | 36.6361594132335 | 4.36384058676652 |
81 | 47 | 32.9394364400422 | 14.0605635599578 |
82 | 42 | 35.4277494189736 | 6.57225058102639 |
83 | 32 | 33.3393465179255 | -1.33934651792547 |
84 | 33 | 33.874401889126 | -0.87440188912601 |
85 | 29 | 35.0777309816178 | -6.07773098161775 |
86 | 37 | 32.3838691866354 | 4.61613081336459 |
87 | 39 | 30.6825807702611 | 8.31741922973894 |
88 | 29 | 30.8202338571869 | -1.8202338571869 |
89 | 33 | 32.9533215009296 | 0.0466784990703529 |
90 | 31 | 31.1297690205878 | -0.129769020587818 |
91 | 21 | 31.7551993062707 | -10.7551993062707 |
92 | 36 | 34.8808603286214 | 1.11913967137857 |
93 | 32 | 35.237821296421 | -3.23782129642100 |
94 | 15 | 31.5410983232297 | -16.5410983232297 |
95 | 25 | 33.6250245299629 | -8.62502452996291 |
96 | 28 | 30.1236682476971 | -2.12366824769705 |
97 | 39 | 33.3224318970057 | 5.6775681029943 |
98 | 31 | 29.0123020703434 | 1.98769792965658 |
99 | 40 | 28.7079738047753 | 11.2920261952247 |
100 | 25 | 31.5515121188953 | -6.5515121188953 |
101 | 36 | 33.8308050165539 | 2.16919498344613 |
102 | 23 | 29.2146112917125 | -6.21461129171252 |
103 | 39 | 30.1358176759735 | 8.86418232402646 |
104 | 31 | 33.8360119143867 | -2.83601191438666 |
105 | 23 | 29.7840636060068 | -6.78406360600676 |
106 | 31 | 31.7081311684767 | -0.708131168476692 |
107 | 28 | 32.9354014509168 | -4.93540145091677 |
108 | 47 | 31.5162357427732 | 15.4837642572268 |
109 | 25 | 32.141666028456 | -7.14166602845602 |
110 | 26 | 30.4540310024291 | -4.4540310024291 |
111 | 24 | 32.4053505670329 | -8.40535056703291 |
112 | 30 | 32.8573235966661 | -2.85732359666608 |
113 | 25 | 33.4715390914006 | -8.47153909140057 |
114 | 44 | 31.8714012498333 | 12.1285987501667 |
115 | 38 | 40.6774878686489 | -2.67748786864887 |
116 | 36 | 29.0927048943497 | 6.9072951056503 |
117 | 34 | 33.3907769823190 | 0.609223017681041 |
118 | 45 | 32.0593159137007 | 12.9406840862993 |
119 | 29 | 31.3754690572301 | -2.37546905723012 |
120 | 25 | 32.2966754414911 | -7.29667544149113 |
121 | 30 | 33.364087079668 | -3.36408707966797 |
122 | 27 | 32.237331879356 | -5.23733187935599 |
123 | 44 | 33.5137635988056 | 10.4862364011944 |
124 | 31 | 36.5663219941985 | -5.56632199419849 |
125 | 35 | 33.7262549453003 | 1.27374505469968 |
126 | 47 | 37.2802439297976 | 9.71975607020239 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.774179551042104 | 0.451640897915792 | 0.225820448957896 |
12 | 0.814914552090087 | 0.370170895819826 | 0.185085447909913 |
13 | 0.72975509436928 | 0.54048981126144 | 0.27024490563072 |
14 | 0.679580019823857 | 0.640839960352287 | 0.320419980176143 |
15 | 0.760363705884226 | 0.479272588231548 | 0.239636294115774 |
16 | 0.735212513111103 | 0.529574973777794 | 0.264787486888897 |
17 | 0.835397848898168 | 0.329204302203664 | 0.164602151101832 |
18 | 0.780857913752948 | 0.438284172494104 | 0.219142086247052 |
19 | 0.857893239013864 | 0.284213521972271 | 0.142106760986136 |
20 | 0.805288854200896 | 0.389422291598208 | 0.194711145799104 |
21 | 0.876604373702256 | 0.246791252595489 | 0.123395626297744 |
22 | 0.840928624256653 | 0.318142751486694 | 0.159071375743347 |
23 | 0.791997253868519 | 0.416005492262962 | 0.208002746131481 |
24 | 0.738038740143544 | 0.523922519712913 | 0.261961259856457 |
25 | 0.682355899302825 | 0.635288201394349 | 0.317644100697175 |
26 | 0.62839773248064 | 0.74320453503872 | 0.37160226751936 |
27 | 0.560689532339361 | 0.878620935321277 | 0.439310467660639 |
28 | 0.499372542022045 | 0.99874508404409 | 0.500627457977955 |
29 | 0.71249463099728 | 0.57501073800544 | 0.28750536900272 |
30 | 0.758956496259027 | 0.482087007481946 | 0.241043503740973 |
31 | 0.762808382443775 | 0.474383235112451 | 0.237191617556225 |
32 | 0.777894568745423 | 0.444210862509154 | 0.222105431254577 |
33 | 0.76403185000381 | 0.471936299992379 | 0.235968149996189 |
34 | 0.75439700279998 | 0.491205994400039 | 0.245602997200020 |
35 | 0.790518038100477 | 0.418963923799045 | 0.209481961899523 |
36 | 0.815554429497342 | 0.368891141005316 | 0.184445570502658 |
37 | 0.789637384411293 | 0.420725231177415 | 0.210362615588707 |
38 | 0.760381215178611 | 0.479237569642778 | 0.239618784821389 |
39 | 0.714704569009387 | 0.570590861981226 | 0.285295430990613 |
40 | 0.834593748705746 | 0.330812502588508 | 0.165406251294254 |
41 | 0.795653793607615 | 0.40869241278477 | 0.204346206392385 |
42 | 0.810782848086015 | 0.378434303827969 | 0.189217151913985 |
43 | 0.78789115354617 | 0.424217692907659 | 0.212108846453829 |
44 | 0.753370967129224 | 0.493258065741552 | 0.246629032870776 |
45 | 0.735645800668017 | 0.528708398663965 | 0.264354199331983 |
46 | 0.697571750898562 | 0.604856498202877 | 0.302428249101438 |
47 | 0.722566127098248 | 0.554867745803505 | 0.277433872901752 |
48 | 0.791914941272433 | 0.416170117455135 | 0.208085058727567 |
49 | 0.760261300887548 | 0.479477398224904 | 0.239738699112452 |
50 | 0.753022635809898 | 0.493954728380204 | 0.246977364190102 |
51 | 0.720558590613666 | 0.558882818772668 | 0.279441409386334 |
52 | 0.67454694461552 | 0.65090611076896 | 0.32545305538448 |
53 | 0.625885026486799 | 0.748229947026402 | 0.374114973513201 |
54 | 0.625898778105433 | 0.748202443789135 | 0.374101221894567 |
55 | 0.594685300307455 | 0.81062939938509 | 0.405314699692545 |
56 | 0.621003818403279 | 0.757992363193443 | 0.378996181596721 |
57 | 0.568570171014348 | 0.862859657971304 | 0.431429828985652 |
58 | 0.531804279601989 | 0.936391440796022 | 0.468195720398011 |
59 | 0.484653100738208 | 0.969306201476416 | 0.515346899261792 |
60 | 0.465273907045757 | 0.930547814091514 | 0.534726092954243 |
61 | 0.419216174698232 | 0.838432349396464 | 0.580783825301768 |
62 | 0.368164539332107 | 0.736329078664214 | 0.631835460667893 |
63 | 0.338968941226912 | 0.677937882453824 | 0.661031058773088 |
64 | 0.290778186550027 | 0.581556373100054 | 0.709221813449973 |
65 | 0.246114912334244 | 0.492229824668488 | 0.753885087665756 |
66 | 0.246563789046622 | 0.493127578093244 | 0.753436210953378 |
67 | 0.218550156910042 | 0.437100313820084 | 0.781449843089958 |
68 | 0.230191679314533 | 0.460383358629066 | 0.769808320685467 |
69 | 0.216516848130624 | 0.433033696261248 | 0.783483151869376 |
70 | 0.237642505975714 | 0.475285011951427 | 0.762357494024286 |
71 | 0.199056421890421 | 0.398112843780842 | 0.800943578109579 |
72 | 0.165263764180525 | 0.330527528361049 | 0.834736235819476 |
73 | 0.137853213349985 | 0.275706426699971 | 0.862146786650015 |
74 | 0.120259306736045 | 0.240518613472091 | 0.879740693263955 |
75 | 0.12198667259053 | 0.24397334518106 | 0.87801332740947 |
76 | 0.238592203774678 | 0.477184407549356 | 0.761407796225322 |
77 | 0.204662099628355 | 0.40932419925671 | 0.795337900371645 |
78 | 0.168464827229386 | 0.336929654458771 | 0.831535172770614 |
79 | 0.149403321744132 | 0.298806643488264 | 0.850596678255868 |
80 | 0.129302220663439 | 0.258604441326878 | 0.870697779336561 |
81 | 0.229585760662797 | 0.459171521325595 | 0.770414239337203 |
82 | 0.236292949702404 | 0.472585899404808 | 0.763707050297596 |
83 | 0.212569128066595 | 0.42513825613319 | 0.787430871933405 |
84 | 0.179451976060826 | 0.358903952121651 | 0.820548023939174 |
85 | 0.159692569325329 | 0.319385138650658 | 0.840307430674671 |
86 | 0.152342608833821 | 0.304685217667643 | 0.847657391166179 |
87 | 0.203465183526283 | 0.406930367052566 | 0.796534816473717 |
88 | 0.166326741946095 | 0.332653483892189 | 0.833673258053905 |
89 | 0.138055697481964 | 0.276111394963928 | 0.861944302518036 |
90 | 0.107598454406910 | 0.215196908813819 | 0.89240154559309 |
91 | 0.118636342451963 | 0.237272684903926 | 0.881363657548037 |
92 | 0.106710675819959 | 0.213421351639918 | 0.89328932418004 |
93 | 0.0875151326248615 | 0.175030265249723 | 0.912484867375138 |
94 | 0.188170497945809 | 0.376340995891617 | 0.811829502054191 |
95 | 0.2102334683117 | 0.4204669366234 | 0.7897665316883 |
96 | 0.169570136116615 | 0.339140272233231 | 0.830429863883385 |
97 | 0.159610276331897 | 0.319220552663793 | 0.840389723668103 |
98 | 0.125918466942368 | 0.251836933884736 | 0.874081533057632 |
99 | 0.200456288198354 | 0.400912576396709 | 0.799543711801646 |
100 | 0.171194694427104 | 0.342389388854208 | 0.828805305572896 |
101 | 0.155642041125033 | 0.311284082250066 | 0.844357958874967 |
102 | 0.125687219584505 | 0.251374439169010 | 0.874312780415495 |
103 | 0.204519567438753 | 0.409039134877506 | 0.795480432561247 |
104 | 0.171336019050186 | 0.342672038100373 | 0.828663980949814 |
105 | 0.130767535893526 | 0.261535071787052 | 0.869232464106474 |
106 | 0.121340026922736 | 0.242680053845471 | 0.878659973077264 |
107 | 0.119035989287344 | 0.238071978574688 | 0.880964010712656 |
108 | 0.248481430776516 | 0.496962861553032 | 0.751518569223484 |
109 | 0.188895265581788 | 0.377790531163575 | 0.811104734418212 |
110 | 0.191228157387280 | 0.382456314774559 | 0.80877184261272 |
111 | 0.131693393391259 | 0.263386786782519 | 0.86830660660874 |
112 | 0.086731767012228 | 0.173463534024456 | 0.913268232987772 |
113 | 0.1730555158978 | 0.3461110317956 | 0.8269444841022 |
114 | 0.115174046233149 | 0.230348092466297 | 0.884825953766851 |
115 | 0.0658574566019557 | 0.131714913203911 | 0.934142543398044 |
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 |