Multiple Linear Regression - Estimated Regression Equation

I1[t] = + 9.93802773724693 -0.529824420571296Month[t] + 0.366629203404525I2[t] + 0.262155562871582I3[t] + 0.264693373911638E1[t] -0.121939422027158E2[t] + 0.0234095617671534E3[t] -0.211295007159597A[t] + 0.053843407628487Happiness[t] + 0.125825104703589`Depression\r`[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)	9.93802773724693	4.653764	2.1355	0.034324	0.017162
Month	-0.529824420571296	0.401714	-1.3189	0.189183	0.094592
I2	0.366629203404525	0.06332	5.7901	0	0
I3	0.262155562871582	0.050822	5.1583	1e-06	0
E1	0.264693373911638	0.074872	3.5353	0.00054	0.00027
E2	-0.121939422027158	0.058854	-2.0719	0.039965	0.019982
E3	0.0234095617671534	0.061516	0.3805	0.704073	0.352036
A	-0.211295007159597	0.08377	-2.5223	0.012688	0.006344
Happiness	0.053843407628487	0.101447	0.5308	0.596365	0.298182
`Depression\r`	0.125825104703589	0.075956	1.6566	0.099671	0.049835

Multiple Linear Regression - Regression Statistics
Multiple R	0.749538505124895
R-squared	0.561807970664863
Adjusted R-squared	0.535862389980545
F-TEST (value)	21.6533203669804
F-TEST (DF numerator)	9
F-TEST (DF denominator)	152
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.49147259475513
Sum Squared Residuals	943.530224943209

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	26	24.3460143246576	1.65398567534243
2	20	21.223948144826	-1.22394814482597
3	19	22.036957720196	-3.03695772019602
4	19	18.3430473084549	0.656952691545061
5	20	19.4220633888526	0.577936611147438
6	25	24.464365527818	0.535634472181951
7	25	20.7606920147623	4.23930798523769
8	22	20.1920384980126	1.80796150198743
9	26	22.3263282140254	3.6736717859746
10	22	20.7355084578388	1.26449154216123
11	17	20.0217409845024	-3.02174098450237
12	22	22.8004689803236	-0.800468980323612
13	19	21.141175640878	-2.14117564087796
14	24	23.0092127920749	0.990787207925102
15	26	26.9200224908439	-0.920022490843918
16	21	19.2751842352438	1.72481576475621
17	13	16.4576622079585	-3.45766220795853
18	26	27.4655205133304	-1.46552051333044
19	20	22.3976751809342	-2.39767518093422
20	22	19.0729485507087	2.92705144929133
21	14	17.7818745908826	-3.78187459088256
22	21	20.6063281720875	0.393671827912539
23	7	14.0725326479237	-7.07253264792366
24	23	21.9064636301378	1.09353636986219
25	17	19.1385462197729	-2.13854621977291
26	25	22.6863253210371	2.31367467896289
27	25	23.3148793838437	1.6851206161563
28	19	16.5264631155468	2.47353688445319
29	20	16.9161364980483	3.08386350195173
30	23	21.4903551406515	1.50964485934848
31	22	24.0245821977744	-2.02458219777439
32	22	22.3531887612015	-0.353188761201513
33	21	18.1350580831081	2.86494191689187
34	15	17.8266573353714	-2.82665733537142
35	20	16.1216310484147	3.87836895158529
36	22	21.4777403168383	0.522259683161737
37	18	17.2550898459195	0.744910154080547
38	20	21.0163197416082	-1.01631974160824
39	28	27.6845369249103	0.315463075089674
40	22	23.9731381718153	-1.97313817181531
41	18	21.4822662933528	-3.48226629335283
42	23	21.0374819515226	1.9625180484774
43	20	21.4070516429703	-1.40705164297026
44	25	24.9335391802976	0.0664608197024198
45	26	22.1088364694703	3.89116353052967
46	15	14.4366295534659	0.563370446534117
47	17	17.6169233150715	-0.616923315071495
48	23	15.2765082198972	7.72349178010276
49	21	22.7154235311579	-1.71542353115786
50	13	16.1291468940192	-3.12914689401916
51	18	20.1961739728088	-2.19617397280878
52	19	19.584041248027	-0.58404124802703
53	22	22.5997124634862	-0.599712463486213
54	16	17.7575896122293	-1.75758961222926
55	24	23.1246540899354	0.875345910064603
56	18	20.1389521445799	-2.13895214457993
57	20	21.8632348820038	-1.86323488200384
58	24	20.5907689886417	3.40923101135833
59	14	18.0485401689031	-4.04854016890311
60	22	20.7731317317067	1.22686826829334
61	24	18.8766409658258	5.12335903417422
62	18	18.6398867913768	-0.639886791376825
63	21	24.6608441182255	-3.66084411822555
64	23	22.1813039883525	0.818696011647487
65	17	18.9913507269665	-1.99135072696648
66	22	21.9806536265141	0.0193463734858707
67	24	25.1820764707166	-1.18207647071655
68	21	22.5579450078501	-1.55794500785006
69	22	21.9340698642504	0.0659301357496262
70	16	16.9971048332882	-0.997104833288247
71	21	24.9809689207908	-3.98096892079085
72	23	24.115311715287	-1.11531171528704
73	22	19.2830998608558	2.71690013914425
74	24	22.2124069502803	1.78759304971966
75	24	24.2894301925601	-0.289430192560057
76	16	18.0256520474626	-2.02565204746257
77	16	17.5191039275261	-1.51910392752615
78	21	23.2233516929418	-2.22335169294185
79	26	25.9397074707575	0.0602925292425448
80	15	16.6068976697516	-1.60689766975163
81	25	22.956253861143	2.04374613885704
82	18	17.6114845935496	0.388515406450355
83	23	20.237952917855	2.76204708214502
84	20	21.0941275260148	-1.0941275260148
85	17	20.5664527985766	-3.56645279857661
86	25	24.8238661486854	0.176133851314586
87	24	22.385177650164	1.61482234983596
88	17	14.3340200496386	2.66597995036144
89	19	18.681141396528	0.31885860347198
90	20	20.8081968154812	-0.808196815481243
91	15	16.5407145588319	-1.54071455883189
92	27	24.7645139998548	2.23548600014519
93	22	19.417218535997	2.58278146400297
94	23	22.9509092143594	0.0490907856405849
95	16	20.1121579145949	-4.11215791459494
96	19	20.6668016480055	-1.66680164800546
97	25	20.5820304123074	4.41796958769265
98	19	19.2446141761924	-0.2446141761924
99	19	19.1247721277583	-0.124772127758322
100	26	24.9009594381505	1.09904056184953
101	21	18.4377959101703	2.56220408982974
102	20	19.9813879924981	0.018612007501882
103	24	19.8319783143072	4.16802168569276
104	22	23.4370022129634	-1.43700221296342
105	20	21.4482766372848	-1.44827663728482
106	18	19.5017202767278	-1.50172027672781
107	18	16.628181477646	1.37181852235398
108	24	21.5238688254657	2.4761311745343
109	24	21.2544370286026	2.7455629713974
110	22	24.5522857786068	-2.55228577860683
111	23	19.7880749281658	3.21192507183415
112	22	19.8596775908544	2.14032240914559
113	20	17.858111646699	2.14188835330096
114	18	19.8383284232784	-1.83832842327837
115	25	24.6527472140355	0.347252785964461
116	18	18.1260578126583	-0.126057812658314
117	16	17.5862662881215	-1.58626628812154
118	20	19.8602678479141	0.139732152085922
119	19	18.04495547409	0.955044525909962
120	15	15.8133431228138	-0.813343122813767
121	19	19.1330102202328	-0.133010220232775
122	19	22.0745920367148	-3.07459203671476
123	16	17.2711372394638	-1.2711372394638
124	17	17.4843841140419	-0.484384114041904
125	28	23.1936982271776	4.80630177282239
126	23	22.7289347529458	0.271065247054209
127	25	23.3489693178264	1.65103068217358
128	20	18.5663803307954	1.43361966920461
129	17	20.2019827607585	-3.20198276075849
130	23	22.7826945259265	0.217305474073528
131	16	19.7804250424748	-3.78042504247477
132	23	24.0381171358171	-1.03811713581712
133	11	15.8140402590915	-4.81404025909148
134	18	20.4598720577147	-2.4598720577147
135	24	23.0792054737825	0.9207945262175
136	23	19.029167491026	3.97083250897395
137	21	21.7644268078499	-0.764426807849885
138	16	19.5337288513825	-3.5337288513825
139	24	25.0264285927377	-1.02642859273768
140	23	21.5151973181666	1.48480268183344
141	18	15.6367145853564	2.36328541464358
142	20	20.6771515890906	-0.677151589090622
143	9	18.6678418822081	-9.66784188220813
144	24	20.3522719839468	3.64772801605322
145	25	24.7834511676235	0.216548832376473
146	20	18.2202915682261	1.77970843177388
147	21	18.9754669492798	2.02453305072025
148	25	22.7560976440763	2.24390235592365
149	22	22.162293686285	-0.162293686284951
150	21	21.4237990986885	-0.423799098688501
151	21	20.1815797068658	0.818420293134153
152	22	20.4243923540948	1.5756076459052
153	27	23.2096380305628	3.79036196943719
154	24	21.907068857027	2.09293114297295
155	24	24.3193091693651	-0.319309169365116
156	21	20.5666797595704	0.433320240429635
157	18	20.8251406209708	-2.82514062097084
158	16	16.1570276038139	-0.15702760381391
159	22	19.3809419571038	2.6190580428962
160	20	19.6470609800457	0.352939019954252
161	18	19.5342980205589	-1.53429802055895
162	20	20.7981241244574	-0.798124124457399

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.95232243661363	0.09535512677274	0.04767756338637
14	0.910509143260629	0.178981713478742	0.089490856739371
15	0.861801418141837	0.276397163716327	0.138198581858163
16	0.794347011777143	0.411305976445714	0.205652988222857
17	0.729407698839124	0.541184602321752	0.270592301160876
18	0.658574517229687	0.682850965540626	0.341425482770313
19	0.588891542778266	0.822216914443469	0.411108457221734
20	0.564633046207259	0.870733907585481	0.435366953792741
21	0.533939672842285	0.93212065431543	0.466060327157715
22	0.447071554756078	0.894143109512157	0.552928445243921
23	0.583870357336979	0.832259285326042	0.416129642663021
24	0.526855604835059	0.946288790329883	0.473144395164941
25	0.462098089988986	0.924196179977972	0.537901910011014
26	0.502330580116254	0.995338839767493	0.497669419883746
27	0.438849284765056	0.877698569530111	0.561150715234944
28	0.636318681331692	0.727362637336617	0.363681318668308
29	0.678862633561873	0.642274732876254	0.321137366438127
30	0.636334437934219	0.727331124131562	0.363665562065781
31	0.600824356785053	0.798351286429893	0.399175643214947
32	0.557606107034598	0.884787785930804	0.442393892965402
33	0.519821094383971	0.960357811232057	0.480178905616029
34	0.579568207882527	0.840863584234947	0.420431792117473
35	0.72789338546512	0.544213229069761	0.27210661453488
36	0.682272998157704	0.635454003684593	0.317727001842296
37	0.63058931518715	0.738821369625701	0.36941068481285
38	0.575310248457192	0.849379503085616	0.424689751542808
39	0.516639648479935	0.96672070304013	0.483360351520065
40	0.488801573526225	0.977603147052451	0.511198426473775
41	0.496204337471469	0.992408674942938	0.503795662528531
42	0.463554398691029	0.927108797382059	0.536445601308971
43	0.416326161149712	0.832652322299424	0.583673838850288
44	0.384136980698527	0.768273961397054	0.615863019301473
45	0.440802002279971	0.881604004559943	0.559197997720029
46	0.387844413140614	0.775688826281228	0.612155586859386
47	0.346571940475854	0.693143880951708	0.653428059524146
48	0.759209899254632	0.481580201490736	0.240790100745368
49	0.746704528131924	0.506590943736151	0.253295471868075
50	0.777455111850379	0.445089776299242	0.222544888149621
51	0.76297605412987	0.474047891740259	0.23702394587013
52	0.724931634938712	0.550136730122576	0.275068365061288
53	0.707787985339276	0.584424029321449	0.292212014660724
54	0.686954877532479	0.626090244935042	0.313045122467521
55	0.645316666541253	0.709366666917495	0.354683333458747
56	0.643422441308464	0.713155117383072	0.356577558691536
57	0.631719621166485	0.73656075766703	0.368280378833515
58	0.715698724316184	0.568602551367631	0.284301275683816
59	0.779081806780779	0.441836386438441	0.220918193219221
60	0.748852124458651	0.502295751082698	0.251147875541349
61	0.82709334532665	0.345813309346701	0.17290665467335
62	0.795927852329943	0.408144295340115	0.204072147670057
63	0.850764061451034	0.298471877097933	0.149235938548966
64	0.82123943164565	0.357521136708699	0.17876056835435
65	0.851708523189799	0.296582953620402	0.148291476810201
66	0.822692108280018	0.354615783439963	0.177307891719982
67	0.80832473338003	0.383350533239941	0.19167526661997
68	0.786210640694516	0.427578718610967	0.213789359305484
69	0.752472305736935	0.49505538852613	0.247527694263065
70	0.717083925334848	0.565832149330304	0.282916074665152
71	0.771595243445401	0.456809513109197	0.228404756554599
72	0.740832525209998	0.518334949580004	0.259167474790002
73	0.7648012874499	0.4703974251002	0.2351987125501
74	0.752407045029027	0.495185909941946	0.247592954970973
75	0.715141115678695	0.56971776864261	0.284858884321305
76	0.717210519763357	0.565578960473285	0.282789480236643
77	0.684846514115882	0.630306971768236	0.315153485884118
78	0.67395019297835	0.6520996140433	0.32604980702165
79	0.63619683128012	0.727606337439761	0.36380316871988
80	0.610379805336996	0.779240389326008	0.389620194663004
81	0.596372065802461	0.807255868395078	0.403627934197539
82	0.567943922270768	0.864112155458464	0.432056077729232
83	0.590907225734829	0.818185548530341	0.409092774265171
84	0.556201071903033	0.887597856193933	0.443798928096966
85	0.600934433939344	0.798131132121311	0.399065566060656
86	0.555045062282602	0.889909875434796	0.444954937717398
87	0.531308971127419	0.937382057745162	0.468691028872581
88	0.558515353641325	0.882969292717351	0.441484646358675
89	0.51591227318596	0.968175453628081	0.48408772681404
90	0.490392834460165	0.980785668920331	0.509607165539835
91	0.456920503342166	0.913841006684332	0.543079496657834
92	0.437970823406071	0.875941646812143	0.562029176593928
93	0.438446006034136	0.876892012068273	0.561553993965864
94	0.396246444516704	0.792492889033407	0.603753555483296
95	0.479900101221578	0.959800202443155	0.520099898778422
96	0.456870605266614	0.913741210533228	0.543129394733386
97	0.57128617487852	0.85742765024296	0.42871382512148
98	0.524943166952946	0.950113666094109	0.475056833047054
99	0.480231146959383	0.960462293918767	0.519768853040617
100	0.438030769763237	0.876061539526474	0.561969230236763
101	0.43565616458693	0.871312329173861	0.56434383541307
102	0.388711165775557	0.777422331551113	0.611288834224443
103	0.486819953706576	0.973639907413151	0.513180046293424
104	0.469561660969845	0.93912332193969	0.530438339030155
105	0.435519015006537	0.871038030013073	0.564480984993463
106	0.401973143163354	0.803946286326707	0.598026856836646
107	0.370239320079194	0.740478640158388	0.629760679920806
108	0.376072783501719	0.752145567003439	0.623927216498281
109	0.362155369254991	0.724310738509982	0.637844630745009
110	0.348710268189752	0.697420536379504	0.651289731810248
111	0.376448348406459	0.752896696812919	0.623551651593541
112	0.372855585294524	0.745711170589048	0.627144414705476
113	0.367826856404624	0.735653712809248	0.632173143595376
114	0.336384056732847	0.672768113465693	0.663615943267153
115	0.292810127355031	0.585620254710062	0.707189872644969
116	0.252605384601589	0.505210769203179	0.747394615398411
117	0.220801357802886	0.441602715605772	0.779198642197114
118	0.182440450206564	0.364880900413129	0.817559549793436
119	0.15696093819114	0.31392187638228	0.84303906180886
120	0.134277661588401	0.268555323176803	0.865722338411599
121	0.106471092587718	0.212942185175437	0.893528907412282
122	0.113773748999438	0.227547497998876	0.886226251000562
123	0.0904272431349023	0.180854486269805	0.909572756865098
124	0.0720106794451945	0.144021358890389	0.927989320554806
125	0.17794859361466	0.35589718722932	0.82205140638534
126	0.144963705222638	0.289927410445276	0.855036294777362
127	0.11992939179664	0.239858783593279	0.88007060820336
128	0.0956666872191822	0.191333374438364	0.904333312780818
129	0.138025600164678	0.276051200329356	0.861974399835322
130	0.106202712654251	0.212405425308503	0.893797287345748
131	0.153400811084582	0.306801622169164	0.846599188915418
132	0.127067181746292	0.254134363492584	0.872932818253708
133	0.275714570094819	0.551429140189638	0.724285429905181
134	0.293337187197071	0.586674374394142	0.706662812802929
135	0.260588008276342	0.521176016552683	0.739411991723658
136	0.243377685986016	0.486755371972032	0.756622314013984
137	0.209560010555704	0.419120021111408	0.790439989444296
138	0.235176436708669	0.470352873417337	0.764823563291331
139	0.179527305008813	0.359054610017625	0.820472694991187
140	0.134954007501908	0.269908015003816	0.865045992498092
141	0.102641260854623	0.205282521709246	0.897358739145377
142	0.0813510402959514	0.162702080591903	0.918648959704049
143	0.867516463693308	0.264967072613383	0.132483536306691
144	0.989290935698957	0.0214181286020856	0.0107090643010428
145	0.979633423457817	0.0407331530843664	0.0203665765421832
146	0.95484831654938	0.0903033669012406	0.0451516834506203
147	0.910739735764105	0.17852052847179	0.0892602642358951
148	0.838551367592696	0.322897264814607	0.161448632407304
149	0.714886425420551	0.570227149158899	0.285113574579449

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	2	0.0145985401459854	OK
10% type I error level	4	0.0291970802919708	OK