Multiple Linear Regression - Estimated Regression Equation

Conn[t] = + 33.2324706807633 + 0.158472808251304Happ[t] -0.0645138156938048Depr[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)	33.2324706807633	2.822206	11.7754	0	0
Happ	0.158472808251304	0.134913	1.1746	0.241898	0.120949
Depr	-0.0645138156938048	0.099608	-0.6477	0.518127	0.259064

Multiple Linear Regression - Regression Statistics
Multiple R	0.151458819815009
R-squared	0.0229397740997553
Adjusted R-squared	0.0106497083651611
F-TEST (value)	1.86652981319571
F-TEST (DF numerator)	2
F-TEST (DF denominator)	159
p-value	0.158032381913384
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.35710886629123
Sum Squared Residuals	1791.95861048086

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	34.6769242079564	6.32307579204359
2	39	35.375329256655	3.624670743345
3	30	34.0724781518145	-4.07247815181446
4	31	34.3599785914534	-3.35997859145337
5	34	34.4132454832143	-0.413245483214345
6	35	35.3108154409612	-0.310815440961197
7	39	34.0317860510179	4.96821394898207
8	34	34.7414380236498	-0.741438023649784
9	36	34.9644246475949	1.03557535240511
10	37	34.7708832005135	2.22911679948652
11	38	35.2813702640975	2.7186297359025
12	36	35.7273435119877	0.272656488012279
13	38	33.8494915278693	4.15050847213065
14	39	34.864842193071	4.13515780692902
15	33	35.4398430723488	-2.43984307234881
16	32	34.5478965765684	-2.54789657656837
17	36	34.5478965765684	1.45210342343163
18	38	35.2168564484037	2.7831435515963
19	39	34.8059518393436	4.19404816065641
20	32	34.9293560087648	-2.92935600876478
21	32	35.6333845194302	-3.63338451943022
22	31	34.0724781518145	-3.07247815181446
23	39	34.676924207956	4.32307579204402
24	37	34.2309509600658	2.76904903993424
25	39	35.2168564484037	3.7831435515963
26	41	34.0781016137809	6.92189838621913
27	36	35.0583836401524	0.941616359847607
28	33	34.4833827608746	-1.48338276087456
29	33	34.7063693848197	-1.70636938481967
30	34	34.1369919675083	-0.136991967508261
31	31	35.18741127154	-4.18741127154
32	27	34.3249099526233	-7.32490995262326
33	37	35.2813702640975	1.71862973590250
34	34	34.8999108319011	-0.899910831901089
35	34	34.6124103922622	-0.612410392262174
36	32	35.2519250872338	-3.25192508723381
37	29	33.368449641149	-4.36844964114902
38	36	34.8353970162073	1.16460298379272
39	29	35.2813702640975	-6.2813702640975
40	35	34.6474790310923	0.352520968907715
41	37	35.0289384632887	1.9710615367113
42	34	34.864842193071	-0.864842193070979
43	38	35.2519250872338	2.74807491276619
44	35	34.2309509600658	0.769049039934239
45	38	34.4244924071472	3.57550759285282
46	37	34.1369919675083	2.86300803249174
47	38	35.0289384632887	2.9710615367113
48	33	34.8999108319011	-1.89991083190109
49	36	34.9588011856285	1.04119881437152
50	38	34.5829652153985	3.41703478460152
51	32	35.1228974558462	-3.1228974558462
52	32	34.5478965765684	-2.54789657656837
53	32	33.8144228890392	-1.81442288903924
54	34	34.2309509600658	-0.230950960065761
55	32	34.4244924071472	-2.42449240714718
56	37	34.8353970162073	2.16460298379272
57	39	34.9293560087648	4.07064399123522
58	29	35.0289384632887	-6.0289384632887
59	37	34.489006222841	2.51099377715902
60	35	34.1664371443720	0.833562855628044
61	30	33.2099768328977	-3.20997683289771
62	38	34.5184513997047	3.48154860029532
63	34	34.2015057832021	-0.201505783202066
64	31	34.5478965765684	-3.54789657656837
65	34	34.7708832005135	-0.77088320051348
66	35	34.1075467906446	0.892453209355433
67	36	33.8789367047330	2.12106329526696
68	30	34.3599785914534	-4.35997859145337
69	39	34.7708832005135	4.22911679948652
70	35	34.7063693848197	0.293630615180326
71	38	34.6124103922622	3.38758960773783
72	31	34.8003283773772	-3.80032837737717
73	34	34.7708832005135	-0.77088320051348
74	38	34.9644246475949	3.03557535240511
75	34	34.5829652153985	-0.58296521539848
76	39	33.9083818815967	5.09161811840326
77	37	35.0878288170161	1.91217118298391
78	34	34.1958823212357	-0.195882321235650
79	28	34.7708832005135	-6.77088320051348
80	37	34.7119928467861	2.28800715321391
81	33	34.8999108319011	-1.89991083190109
82	37	35.1228974558462	1.87710254415380
83	35	35.0289384632887	-0.0289384632886986
84	37	34.9938698244586	2.00613017554141
85	32	34.8353970162073	-2.83539701620728
86	33	34.6124103922622	-1.61241039226218
87	38	34.7708832005135	3.22911679948652
88	33	34.676924207956	-1.67692420795598
89	29	34.3249099526233	-5.32490995262326
90	33	32.9224763932588	0.0775236067412003
91	31	35.0878288170161	-4.08782881701609
92	36	34.3249099526233	1.67509004737674
93	35	34.7708832005135	0.229116799486521
94	32	34.4833827608746	-2.48338276087456
95	29	34.6474790310923	-5.64747903109228
96	39	35.0583836401524	3.94161635984761
97	37	34.1019233286782	2.89807667132185
98	35	34.7414380236498	0.258561976350216
99	37	35.2168564484037	1.7831435515963
100	32	34.9644246475949	-2.96442464759489
101	38	35.2813702640975	2.7186297359025
102	37	34.1019233286782	2.89807667132185
103	36	34.9938698244586	1.00613017554141
104	32	34.2660195988959	-2.26601959889587
105	33	34.5773417534321	-1.57734175343207
106	40	33.4329634568428	6.56703654315718
107	38	35.0583836401524	2.94161635984761
108	41	34.5773417534321	6.42265824656794
109	36	33.8494915278693	2.15050847213065
110	43	33.2688671866251	9.7311328133749
111	30	34.7063693848197	-4.70636938481967
112	31	34.0079643361207	-3.00796433612065
113	32	34.5829652153985	-2.58296521539848
114	32	34.4833827608746	-2.48338276087456
115	37	35.3108154409612	1.68918455903880
116	37	35.1228974558462	1.87710254415380
117	33	34.5478965765684	-1.54789657656837
118	34	34.6124103922622	-0.612410392262174
119	33	34.8704656550374	-1.87046565503739
120	38	34.4833827608746	3.51661723912544
121	33	34.1664371443720	-1.16643714437196
122	31	34.5478965765684	-3.54789657656837
123	38	34.8999108319011	3.10008916809891
124	37	35.0934522789825	1.90654772101750
125	33	34.8999108319011	-1.89991083190109
126	31	34.5829652153985	-3.58296521539848
127	39	35.4103978954851	3.58960210451489
128	44	35.2813702640975	8.7186297359025
129	33	35.5338020649063	-2.53380206490631
130	35	34.7708832005135	0.229116799486521
131	32	34.5829652153985	-2.58296521539848
132	28	33.368449641149	-5.36844964114902
133	40	34.9644246475949	5.03557535240511
134	27	34.6418555691259	-7.64185556912587
135	37	34.8353970162073	2.16460298379272
136	32	34.864842193071	-2.86484219307098
137	28	33.4918538105702	-5.49185381057021
138	34	34.5478965765684	-0.54789657656837
139	30	33.9434505204268	-3.94345052042685
140	35	34.8999108319011	0.100089168098911
141	31	34.5184513997047	-3.51845139970468
142	32	34.9644246475949	-2.96442464759489
143	30	34.864842193071	-4.86484219307098
144	30	34.676924207956	-4.67692420795598
145	31	34.8353970162073	-3.83539701620728
146	40	35.0583836401524	4.94161635984761
147	32	34.9938698244586	-2.99386982445859
148	36	34.1369919675083	1.86300803249174
149	32	34.4244924071472	-2.42449240714718
150	35	33.4329634568428	1.56703654315718
151	38	34.9938698244586	3.00613017554141
152	42	34.1958823212357	7.80411767876435
153	34	35.18741127154	-1.18741127154000
154	35	34.3599785914534	0.64002140854663
155	35	33.4329634568428	1.56703654315718
156	33	34.1313685055418	-1.13136850554185
157	36	34.3249099526233	1.67509004737674
158	32	34.5478965765684	-2.54789657656837
159	33	35.5338020649063	-2.53380206490631
160	34	34.7119928467861	-0.71199284678609
161	32	33.9728956972905	-1.97289569729054
162	34	34.2603961369295	-0.260396136929455

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.824448587133094	0.351102825733811	0.175551412866906
7	0.875152960676748	0.249694078646503	0.124847039323252
8	0.795971857734683	0.408056284530635	0.204028142265317
9	0.701732516621466	0.596534966757068	0.298267483378534
10	0.611017537271302	0.777964925457396	0.388982462728698
11	0.51174928220538	0.97650143558924	0.48825071779462
12	0.454415908618031	0.908831817236062	0.545584091381969
13	0.530935591564318	0.938128816871364	0.469064408435682
14	0.491242875238056	0.982485750476112	0.508757124761944
15	0.510585272161981	0.978829455676037	0.489414727838019
16	0.51955046964345	0.9608990607131	0.48044953035655
17	0.440164302730598	0.880328605461197	0.559835697269402
18	0.386944697269370	0.773889394538741	0.61305530273063
19	0.407591554891182	0.815183109782363	0.592408445108819
20	0.446229342495599	0.892458684991199	0.553770657504401
21	0.47104527367512	0.94209054735024	0.52895472632488
22	0.479442074056506	0.958884148113012	0.520557925943494
23	0.504783754310584	0.990432491378831	0.495216245689416
24	0.463869075301878	0.927738150603755	0.536130924698123
25	0.453511366525577	0.907022733051153	0.546488633474423
26	0.601659888169338	0.796680223661325	0.398340111830662
27	0.540267140200854	0.919465719598292	0.459732859799146
28	0.515595421990575	0.968809156018851	0.484404578009425
29	0.490069597003824	0.980139194007647	0.509930402996176
30	0.4417446124378	0.8834892248756	0.5582553875622
31	0.500542668047802	0.998914663904395	0.499457331952198
32	0.745748847690676	0.508502304618649	0.254251152309324
33	0.706018648564251	0.587962702871498	0.293981351435749
34	0.663259735711836	0.673480528576329	0.336740264288164
35	0.615729459775372	0.768541080449256	0.384270540224628
36	0.617518624830169	0.764962750339662	0.382481375169831
37	0.66354595657011	0.672908086859781	0.336454043429891
38	0.616482330585353	0.767035338829293	0.383517669414647
39	0.736460552130613	0.527078895738773	0.263539447869387
40	0.691425693933450	0.617148612133099	0.308574306066550
41	0.656991676253503	0.686016647492994	0.343008323746497
42	0.610926874015612	0.778146251968775	0.389073125984388
43	0.58816740633227	0.82366518733546	0.41183259366773
44	0.53874021338851	0.92251957322298	0.46125978661149
45	0.533972917371333	0.932054165257335	0.466027082628667
46	0.51049886316493	0.97900227367014	0.48950113683507
47	0.490608328964138	0.981216657928276	0.509391671035862
48	0.461367796695968	0.922735593391936	0.538632203304032
49	0.417571462527344	0.835142925054688	0.582428537472656
50	0.409103969608414	0.818207939216828	0.590896030391586
51	0.409093939026166	0.818187878052332	0.590906060973834
52	0.392368729763977	0.784737459527954	0.607631270236023
53	0.361098681638402	0.722197363276805	0.638901318361598
54	0.31741792107817	0.63483584215634	0.68258207892183
55	0.304625833237851	0.609251666475702	0.695374166762149
56	0.278759069429513	0.557518138859026	0.721240930570487
57	0.296871969339177	0.593743938678354	0.703128030660823
58	0.404773840941812	0.809547681883624	0.595226159058188
59	0.381159143688013	0.762318287376027	0.618840856311987
60	0.338790105618212	0.677580211236424	0.661209894381788
61	0.335528885267076	0.671057770534153	0.664471114732924
62	0.335976406466843	0.671952812933686	0.664023593533157
63	0.295314618144911	0.590629236289821	0.70468538185509
64	0.300549536163233	0.601099072326466	0.699450463836767
65	0.263266332150722	0.526532664301444	0.736733667849278
66	0.229736665094668	0.459473330189336	0.770263334905332
67	0.209848170220837	0.419696340441674	0.790151829779163
68	0.235499165757554	0.470998331515108	0.764500834242446
69	0.25576972434336	0.51153944868672	0.74423027565664
70	0.220244467365461	0.440488934730922	0.779755532634539
71	0.220003714542833	0.440007429085665	0.779996285457167
72	0.230336494131034	0.460672988262069	0.769663505868965
73	0.198740404978731	0.397480809957461	0.80125959502127
74	0.192247312426835	0.38449462485367	0.807752687573165
75	0.164044050860626	0.328088101721251	0.835955949139374
76	0.203690159122971	0.407380318245941	0.79630984087703
77	0.181693276245739	0.363386552491478	0.81830672375426
78	0.153280383442936	0.306560766885873	0.846719616557064
79	0.251056408753507	0.502112817507014	0.748943591246493
80	0.234035581494025	0.468071162988051	0.765964418505975
81	0.211011641542103	0.422023283084206	0.788988358457897
82	0.189285919814917	0.378571839629834	0.810714080185083
83	0.160676078915481	0.321352157830963	0.839323921084519
84	0.143238995495709	0.286477990991419	0.85676100450429
85	0.135726894205414	0.271453788410827	0.864273105794586
86	0.117403655365432	0.234807310730865	0.882596344634568
87	0.115468656692941	0.230937313385882	0.884531343307059
88	0.0994486905604637	0.198897381120927	0.900551309439536
89	0.131295504176331	0.262591008352662	0.86870449582367
90	0.108615780810933	0.217231561621866	0.891384219189067
91	0.119664056457201	0.239328112914402	0.880335943542799
92	0.103413088916294	0.206826177832588	0.896586911083706
93	0.0843628980097781	0.168725796019556	0.915637101990222
94	0.0765553897289935	0.153110779457987	0.923444610271007
95	0.106657132852256	0.213314265704511	0.893342867147744
96	0.113992690389064	0.227985380778128	0.886007309610936
97	0.108188436653544	0.216376873307088	0.891811563346456
98	0.0885780746693378	0.177156149338676	0.911421925330662
99	0.0758357275801614	0.151671455160323	0.924164272419839
100	0.0709462342507449	0.141892468501490	0.929053765749255
101	0.0656544055826057	0.131308811165211	0.934345594417394
102	0.0617573996853411	0.123514799370682	0.93824260031466
103	0.0499260399922404	0.0998520799844809	0.95007396000776
104	0.042763862063379	0.085527724126758	0.957236137936621
105	0.0350016562584371	0.0700033125168743	0.964998343741563
106	0.0683848961683259	0.136769792336652	0.931615103831674
107	0.0647709566159952	0.129541913231990	0.935229043384005
108	0.112191240522072	0.224382481044144	0.887808759477928
109	0.102064588708985	0.204129177417970	0.897935411291015
110	0.426208898089382	0.852417796178763	0.573791101910618
111	0.458823223778669	0.917646447557338	0.541176776221331
112	0.437250638295025	0.874501276590051	0.562749361704975
113	0.415449306450323	0.830898612900646	0.584550693549677
114	0.38503326871535	0.7700665374307	0.61496673128465
115	0.352465723788319	0.704931447576638	0.647534276211681
116	0.320098546329095	0.640197092658191	0.679901453670905
117	0.281516306633623	0.563032613267245	0.718483693366377
118	0.240879373437175	0.481758746874349	0.759120626562825
119	0.217456540753208	0.434913081506416	0.782543459246792
120	0.239518909783075	0.47903781956615	0.760481090216925
121	0.203417822179801	0.406835644359602	0.7965821778202
122	0.195810086375089	0.391620172750179	0.80418991362491
123	0.190777575762706	0.381555151525411	0.809222424237294
124	0.163552714740271	0.327105429480543	0.836447285259729
125	0.140160080264683	0.280320160529366	0.859839919735317
126	0.143685255257320	0.287370510514641	0.85631474474268
127	0.140649913467957	0.281299826935914	0.859350086532043
128	0.414768472246689	0.829536944493378	0.585231527753311
129	0.3705596504439	0.7411193008878	0.6294403495561
130	0.324507768206085	0.64901553641217	0.675492231793915
131	0.300534883631931	0.601069767263862	0.699465116368069
132	0.348023516060503	0.696047032121006	0.651976483939497
133	0.446126655933015	0.89225331186603	0.553873344066985
134	0.613052195694029	0.773895608611942	0.386947804305971
135	0.604770789139639	0.790458421720722	0.395229210860361
136	0.558269803994182	0.883460392011635	0.441730196005818
137	0.675725578579411	0.648548842841178	0.324274421420589
138	0.612983289171736	0.774033421656528	0.387016710828264
139	0.65252256144601	0.69495487710798	0.34747743855399
140	0.59636386370175	0.807272272596499	0.403636136298250
141	0.581609379506343	0.836781240987315	0.418390620493657
142	0.532347019344282	0.935305961311437	0.467652980655718
143	0.585518054101218	0.828963891797564	0.414481945898782
144	0.641731820909463	0.716536358181074	0.358268179090537
145	0.663147260634487	0.673705478731025	0.336852739365513
146	0.79802485319331	0.403950293613382	0.201975146806691
147	0.772750504239737	0.454498991520525	0.227249495760263
148	0.719975142590934	0.560049714818132	0.280024857409066
149	0.676319807792869	0.647360384414262	0.323680192207131
150	0.583028051891924	0.833943896216153	0.416971948108076
151	0.60508698773666	0.78982602452668	0.39491301226334
152	0.994749219653908	0.0105015606921842	0.0052507803460921
153	0.985440148371776	0.029119703256448	0.014559851628224
154	0.963903083515065	0.0721938329698692	0.0360969164849346
155	0.923832694747377	0.152334610505246	0.0761673052526229
156	0.823890226235866	0.352219547528268	0.176109773764134

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	0.0132450331125828	OK
10% type I error level	6	0.0397350993377483	OK