Multiple Linear Regression - Estimated Regression Equation

I1[t] = + 12.2426139710004 -0.812022350622843Month[t] + 0.366415335982668I2[t] + 0.263119372715402I3[t] + 0.267206841902655E1[t] -0.123305108901185E2[t] + 0.022526495877855E3[t] -0.215225699587043A[t] + 0.0597217620697523Happiness[t] + 0.127970017141604`Depression\r`[t] + 0.00364365193725671t + 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)	12.2426139710004	6.737058	1.8172	0.071168	0.035584
Month	-0.812022350622843	0.718578	-1.13	0.260251	0.130125
I2	0.366415335982668	0.063483	5.7718	0	0
I3	0.263119372715402	0.050992	5.16	1e-06	0
E1	0.267206841902655	0.075251	3.5509	0.000512	0.000256
E2	-0.123305108901185	0.059075	-2.0873	0.038544	0.019272
E3	0.022526495877855	0.061702	0.3651	0.715557	0.357778
A	-0.215225699587043	0.084393	-2.5503	0.011759	0.00588
Happiness	0.0597217620697523	0.10246	0.5829	0.560843	0.280421
`Depression\r`	0.127970017141604	0.076284	1.6775	0.095505	0.047753
t	0.00364365193725671	0.007684	0.4742	0.636045	0.318022

Multiple Linear Regression - Regression Statistics
Multiple R	0.749973023374418
R-squared	0.562459535789365
Adjusted R-squared	0.533483346106542
F-TEST (value)	19.411093796186
F-TEST (DF numerator)	10
F-TEST (DF denominator)	151
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.49784974069936
Sum Squared Residuals	942.127252393892

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	26	24.2368073439508	1.76319265604925
2	20	21.1402024650887	-1.14020246508873
3	19	21.9101377681762	-2.91013776817616
4	19	18.1970582891044	0.802941710895617
5	20	19.3288423176289	0.671157682371081
6	25	24.3904492522703	0.609550747729715
7	25	20.6891027386087	4.31089726139129
8	22	20.0973050309335	1.90269496906653
9	26	22.2416499946655	3.75835000533451
10	22	20.6600745927751	1.33992540722494
11	17	19.9401972976192	-2.94019729761918
12	22	22.7511792904591	-0.751179290459052
13	19	21.0686120719108	-2.06861207191078
14	24	22.9709825550731	1.02901744492687
15	26	26.8763255167494	-0.876325516749414
16	21	19.1972024652785	1.80279753472149
17	13	16.3935277456565	-3.39352774565655
18	26	27.4371053024252	-1.43710530242525
19	20	22.3343326765223	-2.33433267652235
20	22	19.0221445716917	2.9778554283083
21	14	17.7394638710995	-3.73946387109947
22	21	20.5363944816028	0.463605518397232
23	7	14.0307735293565	-7.03077352935654
24	23	21.8786368924059	1.12136310759409
25	17	19.1160193367051	-2.11601933670508
26	25	22.626274072486	2.37372592751402
27	25	23.3039100931947	1.69608990680529
28	19	16.5104334403571	2.48956655964285
29	20	16.8736411150254	3.12635888497463
30	23	21.4620542695456	1.53794573045439
31	22	24.0202805445702	-2.02028054457016
32	22	22.3503672531734	-0.350367253173354
33	21	18.0998199552701	2.90018004472986
34	15	17.8082892394123	-2.80828923941231
35	20	16.1116327107634	3.88836728923661
36	22	21.4792793781891	0.520720621810886
37	18	17.2379125067962	0.762087493203799
38	20	21.0487353955017	-1.04873539550165
39	28	27.7225408346291	0.277459165370927
40	22	23.989456457212	-1.98945645721204
41	18	21.4996471986817	-3.49964719868171
42	23	21.0752112479777	1.9247887520223
43	20	21.4248838627635	-1.42488386276353
44	25	24.9631020552176	0.036897944782419
45	26	22.1295613744795	3.8704386255205
46	15	14.409298381855	0.590701618145016
47	17	17.6690435667854	-0.669043566785448
48	23	15.2784793627535	7.72152063724652
49	21	22.8011943012496	-1.80119430124961
50	13	16.1401817513547	-3.14018175135466
51	18	20.2561611461037	-2.2561611461037
52	19	19.6658050938043	-0.665805093804278
53	22	22.6549943452656	-0.654994345265646
54	16	17.838411609562	-1.83841160956201
55	24	23.1857183314029	0.814281668597095
56	18	20.2154955578674	-2.21549555786736
57	20	21.9658376361885	-1.96583763618845
58	24	20.6871882776059	3.31281172239407
59	14	18.1013982025901	-4.10139820259013
60	22	20.8269524220987	1.1730475779013
61	24	18.9360741580038	5.06392584199615
62	18	18.7170151822964	-0.71701518229637
63	21	24.7514753117111	-3.75147531171112
64	23	22.2893336158021	0.71066638419789
65	17	19.0622596529401	-2.06225965294009
66	22	21.7945485694207	0.205451430579334
67	24	25.0107011230779	-1.01070112307793
68	21	22.397780164043	-1.39778016404296
69	22	21.7871803855112	0.212819614488773
70	16	16.8523387565521	-0.852338756552115
71	21	24.8500437077295	-3.8500437077295
72	23	23.9959729190092	-0.995972919009212
73	22	19.1491130162019	2.85088698379807
74	24	22.0674995713468	1.93250042865317
75	24	24.1461103298781	-0.146110329878098
76	16	17.8743981637961	-1.87439816379607
77	16	17.3882338991322	-1.38823389913217
78	21	23.1046050441089	-2.10460504410892
79	26	25.8385605899381	0.161439410061896
80	15	16.4778282108812	-1.47782821088118
81	25	22.8543823386415	2.14561766135855
82	18	17.516931478196	0.48306852180399
83	23	20.1269727978804	2.87302720211961
84	20	21.0075235812599	-1.00752358125994
85	17	20.4586874058693	-3.45868740586928
86	25	24.7271277389971	0.272872261002863
87	24	22.3037939047101	1.69620609528994
88	17	14.1993247748087	2.80067522519127
89	19	18.6068792391385	0.393120760861509
90	20	20.6848054408236	-0.684805440823637
91	15	16.4683422983568	-1.4683422983568
92	27	24.7073486209806	2.29265137901944
93	22	19.3522662244766	2.64773377552344
94	23	22.9087221287875	0.0912778712125335
95	16	20.0283834799849	-4.02838347998491
96	19	20.6082991489533	-1.60829914895325
97	25	20.5237462007798	4.47625379922022
98	19	19.1870025816476	-0.18700258164755
99	19	19.0946336905343	-0.0946336905342887
100	26	24.8559167430465	1.14408325695349
101	21	18.4100658844251	2.58993411557488
102	20	19.9412998105617	0.0587001894382555
103	24	19.7948511311103	4.20514886888967
104	22	23.3933421834239	-1.39334218342387
105	20	21.4363475376098	-1.43634753760975
106	18	19.439228201656	-1.43922820165603
107	18	16.6011276603076	1.39887233969245
108	24	21.5264112783778	2.47358872162216
109	24	21.2528389919928	2.7471610080072
110	22	24.5489391844896	-2.54893918448958
111	23	19.7920132576658	3.20798674233415
112	22	19.838786958833	2.16121304116702
113	20	17.8505329030557	2.14946709694427
114	18	19.8388977799001	-1.8388977799001
115	25	24.7002957646821	0.299704235317883
116	18	18.154992456602	-0.154992456602017
117	16	17.580201729914	-1.58020172991405
118	20	19.8743822799203	0.125617720079707
119	19	18.045597625315	0.954402374684969
120	15	15.8201023683216	-0.820102368321603
121	19	19.1480136277782	-0.148013627778212
122	19	22.096360559157	-3.09636055915702
123	16	17.3093016467437	-1.30930164674369
124	17	17.4960194408	-0.496019440800049
125	28	23.2405554611257	4.75944453887433
126	23	22.7817995884048	0.218200411595211
127	25	23.4148479237573	1.58515207624271
128	20	18.6419332486819	1.35806675131809
129	17	20.2905652549974	-3.29056525499744
130	23	22.8566021712627	0.14339782873735
131	16	19.8286183243319	-3.82861832433187
132	23	24.091865411626	-1.09186541162605
133	11	15.8748279711474	-4.87482797114737
134	18	20.5598925858425	-2.55989258584251
135	24	23.162548726298	0.837451273702028
136	23	19.1306242795674	3.86937572043262
137	21	21.8361744387282	-0.836174438728189
138	16	19.6187404380185	-3.61874043801848
139	24	25.1266112441135	-1.12661124411348
140	23	21.6102097012035	1.38979029879649
141	18	15.7283255920653	2.27167440793467
142	20	20.7861271877941	-0.786127187794113
143	9	18.7809699583662	-9.78096995836622
144	24	20.4792890237757	3.52071097622431
145	25	24.9107314092358	0.0892685907641989
146	20	18.3474281191604	1.6525718808396
147	21	19.0957365194324	1.90426348056755
148	25	22.8791200605039	2.12087993949608
149	22	22.2917217709517	-0.29172177095167
150	21	21.5381608498063	-0.538160849806321
151	21	20.3284080099934	0.671591990006561
152	22	20.5645485077187	1.43545149228131
153	27	23.3760949658806	3.6239050341194
154	24	22.3349992058497	1.66500079415028
155	24	24.4767209476221	-0.476720947622082
156	21	20.7276868602021	0.272313139797922
157	18	20.992500330426	-2.992500330426
158	16	16.2655709783588	-0.265570978358774
159	22	19.5756942663313	2.42430573366869
160	20	19.8099233253486	0.190076674651446
161	18	19.7151149845881	-1.71511498458812
162	20	20.7088775160944	-0.708877516094371

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
14	0.950137606299252	0.0997247874014962	0.0498623937007481
15	0.901147045353569	0.197705909292861	0.0988529546464306
16	0.862025235638339	0.275949528723322	0.137974764361661
17	0.799924216790127	0.400151566419747	0.200075783209873
18	0.727684755769731	0.544630488460539	0.272315244230269
19	0.659534649569921	0.680930700860158	0.340465350430079
20	0.647436229044546	0.705127541910908	0.352563770955454
21	0.583377711124049	0.833244577751902	0.416622288875951
22	0.504863558995094	0.990272882009812	0.495136441004906
23	0.585013400547718	0.829973198904564	0.414986599452282
24	0.558659155609778	0.882681688780444	0.441340844390222
25	0.486323844129678	0.972647688259355	0.513676155870322
26	0.560365082285555	0.879269835428891	0.439634917714445
27	0.49871524008538	0.99743048017076	0.50128475991462
28	0.64692358168637	0.70615283662726	0.35307641831363
29	0.656840490148393	0.686319019703214	0.343159509851607
30	0.597463041530061	0.805073916939877	0.402536958469938
31	0.594617800908907	0.810764398182186	0.405382199091093
32	0.576583143114763	0.846833713770474	0.423416856885237
33	0.554098310897457	0.891803378205086	0.445901689102543
34	0.623691130133878	0.752617739732243	0.376308869866122
35	0.753600700201175	0.49279859959765	0.246399299798825
36	0.705371586027586	0.589256827944829	0.294628413972414
37	0.65920572174195	0.681588556516099	0.34079427825805
38	0.607474026546061	0.785051946907877	0.392525973453939
39	0.550609391888136	0.898781216223727	0.449390608111864
40	0.526709807101215	0.94658038579757	0.473290192898785
41	0.533814824539138	0.932370350921725	0.466185175460862
42	0.499217879532124	0.998435759064248	0.500782120467876
43	0.451088659458767	0.902177318917534	0.548911340541233
44	0.418367174729816	0.836734349459633	0.581632825270184
45	0.474311948477492	0.948623896954985	0.525688051522508
46	0.420550782137709	0.841101564275419	0.579449217862291
47	0.37464204379034	0.74928408758068	0.62535795620966
48	0.777929270680016	0.444141458639968	0.222070729319984
49	0.773923232252109	0.452153535495781	0.22607676774789
50	0.800877685704655	0.39824462859069	0.199122314295345
51	0.784637804355083	0.430724391289835	0.215362195644917
52	0.748236429783322	0.503527140433356	0.251763570216678
53	0.727235130855224	0.545529738289553	0.272764869144776
54	0.700241172724918	0.599517654550164	0.299758827275082
55	0.662085433201083	0.675829133597834	0.337914566798917
56	0.650229923060113	0.699540153879774	0.349770076939887
57	0.628105610661722	0.743788778676556	0.371894389338278
58	0.73086872369545	0.538262552609099	0.26913127630455
59	0.785983419597424	0.428033160805151	0.214016580402576
60	0.755123829837834	0.489752340324331	0.244876170162166
61	0.83763541535101	0.324729169297979	0.16236458464899
62	0.806479341048589	0.387041317902823	0.193520658951411
63	0.851432282380742	0.297135435238515	0.148567717619258
64	0.822511415000626	0.354977169998749	0.177488584999374
65	0.841560481641882	0.316879036716237	0.158439518358118
66	0.810474399072729	0.379051201854541	0.189525600927271
67	0.794449877673857	0.411100244652286	0.205550122326143
68	0.768709533577984	0.462580932844032	0.231290466422016
69	0.734898754402255	0.53020249119549	0.265101245597745
70	0.696922970494014	0.606154059011972	0.303077029505986
71	0.748097094876879	0.503805810246243	0.251902905123121
72	0.71555990846158	0.56888018307684	0.28444009153842
73	0.74096779450633	0.518064410987341	0.259032205493671
74	0.729334885536955	0.54133022892609	0.270665114463045
75	0.690042247129634	0.619915505740731	0.309957752870366
76	0.694660432771706	0.610679134456588	0.305339567228294
77	0.660934483049642	0.678131033900716	0.339065516950358
78	0.647990252693052	0.704019494613895	0.352009747306948
79	0.612554896920656	0.774890206158689	0.387445103079344
80	0.588457250999347	0.823085498001305	0.411542749000653
81	0.575671762872368	0.848656474255264	0.424328237127632
82	0.55208140136093	0.895837197278139	0.44791859863907
83	0.573022897196913	0.853954205606174	0.426977102803087
84	0.539296252412124	0.921407495175751	0.460703747587876
85	0.590785207294547	0.818429585410906	0.409214792705453
86	0.543937333491902	0.912125333016197	0.456062666508098
87	0.521181187197158	0.957637625605683	0.478818812802842
88	0.540818279369681	0.918363441260638	0.459181720630319
89	0.501310607643334	0.997378784713332	0.498689392356666
90	0.47416529686825	0.948330593736499	0.52583470313175
91	0.44089130059241	0.88178260118482	0.55910869940759
92	0.422590777310115	0.84518155462023	0.577409222689885
93	0.425135253475698	0.850270506951395	0.574864746524302
94	0.384440880521898	0.768881761043795	0.615559119478102
95	0.472399329586661	0.944798659173321	0.527600670413339
96	0.454908045147771	0.909816090295541	0.545091954852229
97	0.559143035917959	0.881713928164082	0.440856964082041
98	0.51415710796302	0.97168578407396	0.48584289203698
99	0.472307020051232	0.944614040102464	0.527692979948768
100	0.43069867179232	0.86139734358464	0.56930132820768
101	0.425785683693211	0.851571367386422	0.574214316306789
102	0.378201914760448	0.756403829520895	0.621798085239552
103	0.471234626666509	0.942469253333018	0.528765373333491
104	0.454435168206735	0.90887033641347	0.545564831793265
105	0.421097683699428	0.842195367398857	0.578902316300572
106	0.387186783963345	0.774373567926691	0.612813216036655
107	0.353480130471452	0.706960260942903	0.646519869528548
108	0.359754569327769	0.719509138655538	0.640245430672231
109	0.347473429616487	0.694946859232975	0.652526570383513
110	0.332221349630089	0.664442699260179	0.667778650369911
111	0.367378374457478	0.734756748914956	0.632621625542522
112	0.380515870631548	0.761031741263097	0.619484129368452
113	0.404317637523061	0.808635275046121	0.595682362476939
114	0.366037457886833	0.732074915773665	0.633962542113167
115	0.316248759437777	0.632497518875554	0.683751240562223
116	0.26977736425964	0.539554728519279	0.73022263574036
117	0.245082432689505	0.49016486537901	0.754917567310495
118	0.209157448202391	0.418314896404781	0.790842551797609
119	0.187695545628226	0.375391091256453	0.812304454371774
120	0.178476630910435	0.35695326182087	0.821523369089565
121	0.153649256102202	0.307298512204404	0.846350743897798
122	0.146602043293545	0.29320408658709	0.853397956706455
123	0.122196948749896	0.244393897499793	0.877803051250104
124	0.095357779636109	0.190715559272218	0.904642220363891
125	0.286689837278882	0.573379674557764	0.713310162721118
126	0.237606067502638	0.475212135005276	0.762393932497362
127	0.232760751388392	0.465521502776785	0.767239248611608
128	0.227563055792754	0.455126111585508	0.772436944207246
129	0.245944695042647	0.491889390085294	0.754055304957353
130	0.209590295949929	0.419180591899858	0.790409704050071
131	0.224507947585588	0.449015895171176	0.775492052414412
132	0.17941763112943	0.358835262258859	0.82058236887057
133	0.276479552687175	0.55295910537435	0.723520447312825
134	0.266177200238659	0.532354400477319	0.73382279976134
135	0.259187040972203	0.518374081944406	0.740812959027797
136	0.23386236819962	0.467724736399241	0.76613763180038
137	0.236892814666353	0.473785629332705	0.763107185333647
138	0.224000105858464	0.448000211716928	0.775999894141536
139	0.1733882146157	0.346776429231399	0.8266117853843
140	0.143942785162199	0.287885570324399	0.856057214837801
141	0.122691338838584	0.245382677677168	0.877308661161416
142	0.0835082960462341	0.167016592092468	0.916491703953766
143	0.883902792562281	0.232194414875438	0.116097207437719
144	0.976004685700043	0.0479906285999145	0.0239953142999573
145	0.955423538912649	0.0891529221747016	0.0445764610873508
146	0.908096212214768	0.183807575570465	0.0919037877852323
147	0.826132386498941	0.347735227002118	0.173867613501059
148	0.70182460521352	0.596350789572959	0.29817539478648

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	1	0.00740740740740741	OK
10% type I error level	3	0.0222222222222222	OK