Multiple Linear Regression - Estimated Regression Equation |
Happiness[t] = + 17.5662446474836 + 0.00713222387829059Popularity[t] + 0.0344298760876943KnowingPeople[t] + 0.00620232457943602CMistakes[t] -0.306971082504576DAction[t] + 0.173787200187903Tobacco[t] -0.826460409772176Drugs[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) | 17.5662446474836 | 1.379172 | 12.7368 | 0 | 0 |
Popularity | 0.00713222387829059 | 0.076841 | 0.0928 | 0.926183 | 0.463091 |
KnowingPeople | 0.0344298760876943 | 0.066563 | 0.5173 | 0.605806 | 0.302903 |
CMistakes | 0.00620232457943602 | 0.035267 | 0.1759 | 0.860654 | 0.430327 |
DAction | -0.306971082504576 | 0.07295 | -4.208 | 4.6e-05 | 2.3e-05 |
Tobacco | 0.173787200187903 | 0.203693 | 0.8532 | 0.395037 | 0.197519 |
Drugs | -0.826460409772176 | 0.368906 | -2.2403 | 0.02667 | 0.013335 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.404266973125832 |
R-squared | 0.163431785560322 |
Adjusted R-squared | 0.127059254497727 |
F-TEST (value) | 4.49327502886909 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 138 |
p-value | 0.000345024051561227 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.21953728874425 |
Sum Squared Residuals | 679.835717105414 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 14 | 14.9430624342372 | -0.943062434237218 |
2 | 18 | 14.635903882188 | 3.36409611781205 |
3 | 11 | 15.3225839833167 | -4.32258398331675 |
4 | 12 | 13.2238693444577 | -1.22386934445768 |
5 | 16 | 14.7833358041637 | 1.2166641958363 |
6 | 18 | 14.85447833948 | 3.14552166052002 |
7 | 14 | 14.0092500975074 | -0.00925009750738331 |
8 | 14 | 14.645305353057 | -0.645305353056965 |
9 | 15 | 14.6411763074685 | 0.358823692531467 |
10 | 15 | 13.1467339887118 | 1.85326601128815 |
11 | 17 | 13.2093941708681 | 3.7906058291319 |
12 | 19 | 14.0790453754893 | 4.92095462451073 |
13 | 10 | 12.9152785434097 | -2.91527854340971 |
14 | 18 | 15.8350458362998 | 2.1649541637002 |
15 | 14 | 11.390739154409 | 2.60926084559104 |
16 | 14 | 14.8489868072985 | -0.848986807298458 |
17 | 17 | 14.7901514547784 | 2.20984854522161 |
18 | 14 | 14.950931461362 | -0.95093146136203 |
19 | 16 | 14.29312631204 | 1.70687368796003 |
20 | 18 | 12.9352219928925 | 5.06477800710745 |
21 | 14 | 14.2179904966362 | -0.217990496636162 |
22 | 12 | 12.7809303082475 | -0.780930308247507 |
23 | 17 | 13.1497371670017 | 3.85026283299829 |
24 | 9 | 12.0699541889004 | -3.06995418890038 |
25 | 16 | 14.5937980750279 | 1.40620192497213 |
26 | 14 | 13.8058756137784 | 0.194124386221564 |
27 | 11 | 13.953365301346 | -2.95336530134599 |
28 | 16 | 14.4128351603561 | 1.58716483964388 |
29 | 13 | 13.4182630587259 | -0.418263058725908 |
30 | 17 | 14.6028133537921 | 2.39718664620787 |
31 | 15 | 14.7132323339862 | 0.286767666013842 |
32 | 14 | 14.8514751611901 | -0.851475161190117 |
33 | 16 | 13.6021941595369 | 2.39780584046306 |
34 | 9 | 12.4898903760448 | -3.48989037604485 |
35 | 15 | 13.9221984464943 | 1.07780155350566 |
36 | 17 | 15.7581239609473 | 1.24187603905274 |
37 | 13 | 13.4819326227247 | -0.481932622724682 |
38 | 15 | 13.2818885285746 | 1.71811147142536 |
39 | 16 | 13.6145264352944 | 2.38547356470564 |
40 | 16 | 16.3348521784798 | -0.334852178479798 |
41 | 12 | 13.7931381268229 | -1.79313812682288 |
42 | 11 | 13.1081806935434 | -2.10818069354336 |
43 | 15 | 14.9774979368326 | 0.0225020631674011 |
44 | 17 | 14.8381406127324 | 2.16185938726761 |
45 | 13 | 14.6329007038981 | -1.63290070389809 |
46 | 16 | 13.2511669966671 | 2.74883300333292 |
47 | 14 | 14.375465980925 | -0.375465980925039 |
48 | 11 | 14.6700324142707 | -3.67003241427074 |
49 | 12 | 13.1885151955788 | -1.18851519557877 |
50 | 12 | 15.4189604946025 | -3.41896049460247 |
51 | 15 | 15.0696085327329 | -0.0696085327329265 |
52 | 16 | 15.2062050417325 | 0.793794958267528 |
53 | 15 | 14.7416818643427 | 0.258318135657306 |
54 | 12 | 13.6845561668229 | -1.68455616682292 |
55 | 12 | 13.9075400405549 | -1.9075400405549 |
56 | 8 | 12.8406105684022 | -4.84061056840216 |
57 | 13 | 14.8526185408823 | -1.85261854088227 |
58 | 11 | 14.5807937533709 | -3.58079375337095 |
59 | 14 | 15.0902094203056 | -1.09020942030561 |
60 | 15 | 13.4456429480393 | 1.55435705196072 |
61 | 10 | 14.2759984277378 | -4.27599842773784 |
62 | 11 | 14.6599763772592 | -3.65997637725922 |
63 | 12 | 13.6802594145816 | -1.68025941458163 |
64 | 15 | 13.3882579457239 | 1.61174205427609 |
65 | 15 | 15.004795589042 | -0.00479558904200265 |
66 | 14 | 13.5262078099909 | 0.473792190009095 |
67 | 16 | 12.2347775105721 | 3.76522248942791 |
68 | 15 | 15.348056346232 | -0.348056346231982 |
69 | 15 | 15.6859279317339 | -0.68592793173387 |
70 | 13 | 14.6391030284775 | -1.63910302847753 |
71 | 17 | 14.5640409517227 | 2.4359590482773 |
72 | 13 | 13.1713682921833 | -0.171368292183255 |
73 | 15 | 14.336468845447 | 0.663531154552962 |
74 | 13 | 14.9217796370626 | -1.92177963706256 |
75 | 15 | 13.5878216073923 | 1.41217839260775 |
76 | 16 | 14.5596105621294 | 1.44038943787063 |
77 | 15 | 14.541085825495 | 0.458914174504973 |
78 | 16 | 14.2214087498267 | 1.77859125017332 |
79 | 15 | 14.2499376453398 | 0.750062354660162 |
80 | 14 | 14.4958097548413 | -0.495809754841266 |
81 | 15 | 13.1728508799782 | 1.82714912002178 |
82 | 7 | 12.7157107881109 | -5.71571078811091 |
83 | 17 | 15.0573436253184 | 1.94265637468163 |
84 | 13 | 15.868958016042 | -2.86895801604195 |
85 | 15 | 14.1941110976173 | 0.805888902382728 |
86 | 14 | 13.737015861603 | 0.262984138396953 |
87 | 13 | 12.3074594813878 | 0.692540518612214 |
88 | 16 | 14.5056438130045 | 1.49435618699549 |
89 | 12 | 14.1897685716355 | -2.18976857163555 |
90 | 14 | 15.2149013467112 | -1.21490134671121 |
91 | 17 | 14.9481417634655 | 2.05185823653453 |
92 | 15 | 15.322124052563 | -0.322124052563006 |
93 | 17 | 12.5224604535348 | 4.47753954646517 |
94 | 12 | 13.6387795517196 | -1.63877955171961 |
95 | 16 | 14.005992702779 | 1.99400729722102 |
96 | 11 | 13.1679023111923 | -2.16790231119232 |
97 | 15 | 13.9103330932458 | 1.08966690675417 |
98 | 9 | 14.3366935788556 | -5.33669357885562 |
99 | 16 | 14.6329007038981 | 1.36709929610191 |
100 | 10 | 12.9940336176989 | -2.99403361769893 |
101 | 10 | 11.6542629489503 | -1.65426294895033 |
102 | 15 | 14.4517593009836 | 0.548240699016378 |
103 | 11 | 14.0245266816668 | -3.02452668166678 |
104 | 13 | 14.9736674806888 | -1.97366748068877 |
105 | 14 | 12.7678233651457 | 1.2321766348543 |
106 | 18 | 15.0135945154656 | 2.98640548453438 |
107 | 16 | 14.8440415933069 | 1.15595840669308 |
108 | 14 | 12.6248201824991 | 1.37517981750094 |
109 | 14 | 13.8494849818869 | 0.150515018113135 |
110 | 14 | 13.9573073602367 | 0.0426926397632883 |
111 | 14 | 13.8296213754453 | 0.170378624554713 |
112 | 12 | 13.3671682446016 | -1.36716824460158 |
113 | 14 | 14.2629708497927 | -0.262970849792661 |
114 | 15 | 14.6489370866408 | 0.351062913359226 |
115 | 15 | 13.9518249479592 | 1.04817505204078 |
116 | 13 | 12.0349596324652 | 0.965040367534796 |
117 | 17 | 14.5566130103472 | 2.44338698965285 |
118 | 17 | 14.326412064637 | 2.67358793536297 |
119 | 19 | 15.4849541992364 | 3.51504580076357 |
120 | 15 | 14.122467274053 | 0.877532725947038 |
121 | 13 | 14.2524259992315 | -1.2524259992315 |
122 | 9 | 12.2990960142057 | -3.29909601420574 |
123 | 15 | 15.0074391748881 | -0.00743917488812934 |
124 | 15 | 15.1136301037947 | -0.11363010379467 |
125 | 16 | 15.1504289763706 | 0.849571023629369 |
126 | 11 | 13.5264156638766 | -2.52641566387656 |
127 | 14 | 13.9934328216656 | 0.00656717833436187 |
128 | 11 | 13.175180647121 | -2.17518064712104 |
129 | 15 | 12.1719627179104 | 2.82803728208958 |
130 | 13 | 13.2840440446696 | -0.284044044669612 |
131 | 16 | 13.3404991476861 | 2.65950085231387 |
132 | 14 | 15.419478190948 | -1.41947819094801 |
133 | 15 | 14.4572248223166 | 0.542775177683419 |
134 | 16 | 14.0872893417035 | 1.91271065829649 |
135 | 16 | 14.9392432311087 | 1.06075676889128 |
136 | 11 | 12.8369732083107 | -1.83697320831071 |
137 | 13 | 13.229709204646 | -0.22970920464604 |
138 | 16 | 14.5937980750279 | 1.40620192497213 |
139 | 12 | 13.8874413591176 | -1.8874413591176 |
140 | 9 | 13.0713705679521 | -4.07137056795212 |
141 | 13 | 12.8635018196834 | 0.136498180316632 |
142 | 13 | 15.868958016042 | -2.86895801604195 |
143 | 14 | 14.4581490951078 | -0.458149095107793 |
144 | 19 | 15.4849541992364 | 3.51504580076357 |
145 | 13 | 15.0213552946379 | -2.02135529463787 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.437859426670834 | 0.875718853341667 | 0.562140573329166 |
11 | 0.283147384109154 | 0.566294768218307 | 0.716852615890846 |
12 | 0.226691245941355 | 0.45338249188271 | 0.773308754058645 |
13 | 0.584632541098815 | 0.830734917802371 | 0.415367458901185 |
14 | 0.502946108147804 | 0.994107783704392 | 0.497053891852196 |
15 | 0.41545130034789 | 0.83090260069578 | 0.58454869965211 |
16 | 0.40916674441979 | 0.818333488839579 | 0.59083325558021 |
17 | 0.689193166236234 | 0.621613667527532 | 0.310806833763766 |
18 | 0.631778443343365 | 0.73644311331327 | 0.368221556656635 |
19 | 0.74458001447218 | 0.510839971055639 | 0.255419985527819 |
20 | 0.894117224173506 | 0.211765551652988 | 0.105882775826494 |
21 | 0.866551820595342 | 0.266896358809316 | 0.133448179404658 |
22 | 0.843878856091272 | 0.312242287817456 | 0.156121143908728 |
23 | 0.863129450900812 | 0.273741098198375 | 0.136870549099188 |
24 | 0.891748456364024 | 0.216503087271951 | 0.108251543635976 |
25 | 0.860164523399543 | 0.279670953200915 | 0.139835476600457 |
26 | 0.83994142167799 | 0.320117156644019 | 0.160058578322009 |
27 | 0.880834151922183 | 0.238331696155635 | 0.119165848077817 |
28 | 0.859888962414435 | 0.28022207517113 | 0.140111037585565 |
29 | 0.865674454027625 | 0.268651091944749 | 0.134325545972375 |
30 | 0.86064804954334 | 0.278703900913319 | 0.13935195045666 |
31 | 0.835473754498112 | 0.329052491003776 | 0.164526245501888 |
32 | 0.809080158670592 | 0.381839682658815 | 0.190919841329407 |
33 | 0.787555953096279 | 0.424888093807443 | 0.212444046903721 |
34 | 0.87467158981052 | 0.25065682037896 | 0.12532841018948 |
35 | 0.84957534223415 | 0.300849315531701 | 0.15042465776585 |
36 | 0.816240417033727 | 0.367519165932546 | 0.183759582966273 |
37 | 0.776244753953209 | 0.447510492093581 | 0.223755246046791 |
38 | 0.743778869280482 | 0.512442261439035 | 0.256221130719518 |
39 | 0.751775452058599 | 0.496449095882803 | 0.248224547941401 |
40 | 0.720507711163988 | 0.558984577672023 | 0.279492288836012 |
41 | 0.693725339058582 | 0.612549321882837 | 0.306274660941418 |
42 | 0.703911633025068 | 0.592176733949865 | 0.296088366974932 |
43 | 0.655890637067345 | 0.68821872586531 | 0.344109362932655 |
44 | 0.640293284389954 | 0.719413431220091 | 0.359706715610046 |
45 | 0.614722786653058 | 0.770554426693883 | 0.385277213346942 |
46 | 0.619345056052216 | 0.761309887895568 | 0.380654943947784 |
47 | 0.603288304092007 | 0.793423391815986 | 0.396711695907993 |
48 | 0.757425921071317 | 0.485148157857365 | 0.242574078928683 |
49 | 0.73281242022238 | 0.534375159555241 | 0.267187579777621 |
50 | 0.800648632401915 | 0.39870273519617 | 0.199351367598085 |
51 | 0.76296489985738 | 0.474070200285241 | 0.23703510014262 |
52 | 0.724937373693982 | 0.550125252612037 | 0.275062626306018 |
53 | 0.682467171796542 | 0.635065656406916 | 0.317532828203458 |
54 | 0.661303136754887 | 0.677393726490226 | 0.338696863245113 |
55 | 0.642183350725865 | 0.71563329854827 | 0.357816649274135 |
56 | 0.822955196421345 | 0.354089607157311 | 0.177044803578655 |
57 | 0.814707924834021 | 0.370584150331957 | 0.185292075165979 |
58 | 0.85751749991144 | 0.284965000177119 | 0.142482500088559 |
59 | 0.839554363682934 | 0.320891272634132 | 0.160445636317066 |
60 | 0.821848514896167 | 0.356302970207666 | 0.178151485103833 |
61 | 0.901318959717582 | 0.197362080564836 | 0.0986810402824178 |
62 | 0.931785751640255 | 0.136428496719491 | 0.0682142483597453 |
63 | 0.923692310008846 | 0.152615379982308 | 0.0763076899911539 |
64 | 0.914246530333761 | 0.171506939332477 | 0.0857534696662385 |
65 | 0.8931044064727 | 0.213791187054601 | 0.1068955935273 |
66 | 0.870201971113347 | 0.259596057773307 | 0.129798028886654 |
67 | 0.915399918997962 | 0.169200162004076 | 0.0846000810020378 |
68 | 0.895312243585666 | 0.209375512828667 | 0.104687756414334 |
69 | 0.873520896650199 | 0.252958206699603 | 0.126479103349801 |
70 | 0.86180625539954 | 0.276387489200918 | 0.138193744600459 |
71 | 0.865892345324696 | 0.268215309350608 | 0.134107654675304 |
72 | 0.838132363501116 | 0.323735272997769 | 0.161867636498884 |
73 | 0.807968576895147 | 0.384062846209706 | 0.192031423104853 |
74 | 0.802560121918265 | 0.39487975616347 | 0.197439878081735 |
75 | 0.78382194211939 | 0.43235611576122 | 0.21617805788061 |
76 | 0.762979876142828 | 0.474040247714343 | 0.237020123857172 |
77 | 0.724162837895513 | 0.551674324208973 | 0.275837162104487 |
78 | 0.710792946622446 | 0.578414106755108 | 0.289207053377554 |
79 | 0.672004469784537 | 0.655991060430925 | 0.327995530215463 |
80 | 0.627804115200948 | 0.744391769598104 | 0.372195884799052 |
81 | 0.617377314107143 | 0.765245371785713 | 0.382622685892857 |
82 | 0.821469388600387 | 0.357061222799225 | 0.178530611399613 |
83 | 0.815258670967131 | 0.369482658065738 | 0.184741329032869 |
84 | 0.839629333155049 | 0.320741333689903 | 0.160370666844951 |
85 | 0.811860626225002 | 0.376278747549995 | 0.188139373774998 |
86 | 0.777400046297653 | 0.445199907404695 | 0.222599953702347 |
87 | 0.743472221041765 | 0.51305555791647 | 0.256527778958235 |
88 | 0.727287571669229 | 0.545424856661543 | 0.272712428330771 |
89 | 0.722041702491705 | 0.55591659501659 | 0.277958297508295 |
90 | 0.69657650563024 | 0.60684698873952 | 0.30342349436976 |
91 | 0.69698622550775 | 0.6060275489845 | 0.30301377449225 |
92 | 0.651074442057225 | 0.69785111588555 | 0.348925557942775 |
93 | 0.848335321913425 | 0.303329356173149 | 0.151664678086575 |
94 | 0.828970243411526 | 0.342059513176948 | 0.171029756588474 |
95 | 0.832624890131104 | 0.334750219737793 | 0.167375109868896 |
96 | 0.825208102052667 | 0.349583795894666 | 0.174791897947333 |
97 | 0.807493753535018 | 0.385012492929964 | 0.192506246464982 |
98 | 0.93439881577335 | 0.1312023684533 | 0.0656011842266499 |
99 | 0.92049961604602 | 0.15900076790796 | 0.0795003839539798 |
100 | 0.921101748710195 | 0.15779650257961 | 0.0788982512898052 |
101 | 0.907481570646046 | 0.185036858707907 | 0.0925184293539537 |
102 | 0.883749075564157 | 0.232501848871685 | 0.116250924435843 |
103 | 0.906080228269433 | 0.187839543461134 | 0.093919771730567 |
104 | 0.922941628944107 | 0.154116742111786 | 0.0770583710558929 |
105 | 0.925935983105162 | 0.148128033789677 | 0.0740640168948385 |
106 | 0.938740185624855 | 0.12251962875029 | 0.0612598143751449 |
107 | 0.92115440030203 | 0.15769119939594 | 0.0788455996979701 |
108 | 0.92708787792188 | 0.145824244156239 | 0.0729121220781193 |
109 | 0.904544813980598 | 0.190910372038805 | 0.0954551860194024 |
110 | 0.901527178253015 | 0.196945643493971 | 0.0984728217469853 |
111 | 0.881868241065353 | 0.236263517869294 | 0.118131758934647 |
112 | 0.854174859183898 | 0.291650281632205 | 0.145825140816102 |
113 | 0.81473476906238 | 0.370530461875241 | 0.18526523093762 |
114 | 0.76918137932748 | 0.461637241345041 | 0.230818620672521 |
115 | 0.729489639622466 | 0.541020720755069 | 0.270510360377534 |
116 | 0.673648594691154 | 0.652702810617693 | 0.326351405308846 |
117 | 0.736462991780735 | 0.52707401643853 | 0.263537008219265 |
118 | 0.716933629307985 | 0.566132741384031 | 0.283066370692015 |
119 | 0.742244662685978 | 0.515510674628044 | 0.257755337314022 |
120 | 0.765149159222504 | 0.469701681554992 | 0.234850840777496 |
121 | 0.705693752909748 | 0.588612494180503 | 0.294306247090252 |
122 | 0.740075644069735 | 0.51984871186053 | 0.259924355930265 |
123 | 0.684474771665825 | 0.63105045666835 | 0.315525228334175 |
124 | 0.609564794180176 | 0.780870411639648 | 0.390435205819824 |
125 | 0.528547238589466 | 0.942905522821068 | 0.471452761410534 |
126 | 0.454124750044363 | 0.908249500088727 | 0.545875249955637 |
127 | 0.42250937457428 | 0.84501874914856 | 0.57749062542572 |
128 | 0.341698131678046 | 0.683396263356091 | 0.658301868321954 |
129 | 0.301283993301769 | 0.602567986603539 | 0.69871600669823 |
130 | 0.22302103921352 | 0.446042078427039 | 0.77697896078648 |
131 | 0.415301055505612 | 0.830602111011223 | 0.584698944494388 |
132 | 0.645998566866687 | 0.708002866266625 | 0.354001433133313 |
133 | 0.51748681640825 | 0.9650263671835 | 0.48251318359175 |
134 | 0.604647672648657 | 0.790704654702686 | 0.395352327351343 |
135 | 0.545686171311208 | 0.908627657377583 | 0.454313828688792 |
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 |