Multiple Linear Regression - Estimated Regression Equation

Org[t] = + 16.2504142572588 -0.0582729173029758concern[t] + 0.200529531559346doubts[t] -0.149647777746776Par_Crit[t] -0.260030170005169Par_Stan[t] + 0.414285431761517Pers_Stand[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)	16.2504142572588	2.023595	8.0305	0	0
concern	-0.0582729173029758	0.063966	-0.911	0.363786	0.181893
doubts	0.200529531559346	0.114083	1.7577	0.080873	0.040436
Par_Crit	-0.149647777746776	0.108521	-1.379	0.169998	0.084999
Par_Stan	-0.260030170005169	0.133749	-1.9442	0.053786	0.026893
Pers_Stand	0.414285431761517	0.077239	5.3637	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.470562869770772
R-squared	0.221429414406904
Adjusted R-squared	0.194947421699656
F-TEST (value)	8.3615087752176
F-TEST (DF numerator)	5
F-TEST (DF denominator)	147
p-value	5.56403168650021e-07
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.51408284048418
Sum Squared Residuals	1815.27039683845

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	25	24.7611407855955	0.238859214404524
2	21	22.5459799328075	-1.54597993280755
3	22	21.8368420677031	0.163157932296894
4	25	22.3999612765086	2.60003872349135
5	24	20.1730133445138	3.82698665548617
6	18	19.7853381763504	-1.78533817635044
7	22	18.4822276329217	3.51777236707831
8	15	20.6597038951926	-5.65970389519259
9	22	23.384343360126	-1.38434336012602
10	28	24.2541266871992	3.74587331280083
11	20	22.2586267469163	-2.25862674691634
12	12	19.0541858795943	-7.05418587959432
13	24	21.4392482506961	2.5607517493039
14	20	21.3755881014603	-1.37558810146028
15	21	23.2271563087225	-2.22715630872253
16	20	20.6236097714002	-0.623609771400234
17	21	19.2274108828772	1.77258911712277
18	23	21.1317858968956	1.86821410310437
19	28	21.9083953956296	6.09160460437044
20	24	21.8658605671527	2.13413943284727
21	24	23.4419598030387	0.558040196961282
22	24	20.4171793406447	3.58282065935532
23	23	21.9813902489090	1.01860975109104
24	23	22.6732178151566	0.326782184843355
25	29	24.3072843318668	4.69271566813318
26	24	21.9193423359088	2.08065766409124
27	18	24.9616099261505	-6.96160992615047
28	25	26.0389768705303	-1.03897687053027
29	21	22.5373924894386	-1.53739248943859
30	26	26.7014199098452	-0.701419909845158
31	22	25.2262139029839	-3.22621390298393
32	22	22.6482669942283	-0.648266994228331
33	22	22.5780053320943	-0.578005332094254
34	23	25.5982387014831	-2.59823870148311
35	30	22.8453726236092	7.15462737639082
36	23	22.6949712361640	0.305028763835966
37	17	18.681835079817	-1.68183507981698
38	23	23.7271609472060	-0.727160947206039
39	23	24.2849533150831	-1.28495331508312
40	25	22.3420165964008	2.65798340359919
41	24	20.6541365362309	3.34586346376907
42	24	27.4849442247080	-3.48494422470804
43	23	23.0469160721013	-0.04691607210127
44	21	23.7104629834278	-2.7104629834278
45	24	25.6839962740913	-1.68399627409135
46	24	21.8302469038286	2.16975309617141
47	28	21.4999451690205	6.50005483097953
48	16	21.0888634862036	-5.08886348620361
49	20	19.8594217120698	0.140578287930204
50	29	23.4090379869267	5.59096201307328
51	27	23.8691119249836	3.13088807501638
52	22	23.1516113693736	-1.15161136937356
53	28	23.9814703450438	4.01852965495617
54	16	20.2168699623192	-4.21686996231917
55	25	22.8713459464109	2.12865405358905
56	24	23.4692265410271	0.530773458972877
57	28	23.5771534909998	4.42284650900018
58	24	24.2137822663325	-0.213782266332461
59	23	22.598127198051	0.401872801949008
60	30	26.9621920374856	3.03780796251444
61	24	21.4361026568388	2.56389734316115
62	21	24.1080387993479	-3.10803879934794
63	25	23.1476063177736	1.85239368222639
64	25	23.9215496371342	1.07845036286582
65	22	20.8927329374831	1.10726706251687
66	23	22.4809474897711	0.51905251022889
67	26	22.9077109835165	3.09228901648351
68	23	21.5430156898788	1.45698431012120
69	25	23.0923222992209	1.90767770077914
70	21	21.3251264171115	-0.325126417111538
71	25	23.4946717104038	1.50532828959624
72	24	22.1119764528605	1.88802354713950
73	29	23.5014290002202	5.49857099977976
74	22	23.6761310832272	-1.67613108322715
75	27	23.5289635843994	3.47103641560060
76	26	19.7211643598513	6.27883564014874
77	22	21.2787981053279	0.721201894672111
78	24	22.0516618137119	1.94833818628808
79	27	23.09164073259	3.90835926740998
80	24	21.3036408422949	2.6963591577051
81	24	24.8571231300489	-0.85712313004888
82	29	24.2852275102976	4.71477248970239
83	22	22.1760467850279	-0.176046785027854
84	21	20.5753919610441	0.424608038955942
85	24	20.4102739406619	3.58972605933811
86	24	21.7843927034894	2.21560729651058
87	23	21.919743917763	1.080256082237
88	20	22.2830872047076	-2.28308720470756
89	27	21.4015614242620	5.59843857573795
90	26	23.4434175800843	2.55658241991572
91	25	21.9170799743066	3.0829200256934
92	21	20.0533555932319	0.946644406768094
93	21	20.7891478612462	0.210852138753771
94	19	20.4051806931447	-1.40518069314470
95	21	21.5989790391454	-0.598979039145424
96	21	21.2954960691061	-0.295496069106128
97	16	19.7318208532233	-3.73182085322335
98	22	20.6607136990186	1.33928630098142
99	29	21.7568319810854	7.24316801891464
100	15	21.6975807012207	-6.6975807012207
101	17	20.7713680505745	-3.77136805057448
102	15	19.9823304187306	-4.98233041873058
103	21	21.6102357290102	-0.61023572901017
104	21	20.9255152283695	0.07448477163047
105	19	19.2811141064587	-0.281114106458668
106	24	18.1654201129471	5.83457988705285
107	20	22.3666077388697	-2.36660773886969
108	17	25.1432962877541	-8.14329628775415
109	23	24.8858986199411	-1.88589861994107
110	24	22.3767059391439	1.62329406085607
111	14	22.0792882301598	-8.07928823015977
112	19	22.8442971257394	-3.84429712573941
113	24	22.1302960690205	1.86970393097949
114	13	20.4391884692570	-7.43918846925697
115	22	25.4500906041767	-3.45009060417669
116	16	21.0672860791183	-5.06728607911828
117	19	23.1775585539504	-4.17755855395043
118	25	22.8081976989076	2.19180230109235
119	25	24.0078492511477	0.99215074885234
120	23	21.3665212436075	1.63347875639255
121	24	23.5582377914539	0.441762208546083
122	26	23.5072642053727	2.49273579462734
123	26	21.4714507098892	4.52854929011079
124	25	24.1798757386350	0.820124261364955
125	18	22.3113323052576	-4.31133230525765
126	21	19.8753655796270	1.12463442037305
127	26	23.6468289724169	2.35317102758312
128	23	21.9924709248516	1.00752907514835
129	23	19.7845305246714	3.21546947532858
130	22	22.5203662884652	-0.520366288465208
131	20	22.3238545065533	-2.32385450655328
132	13	22.0221575507547	-9.02215755075468
133	24	21.4279601195671	2.57203988043295
134	15	21.5134079425897	-6.51340794258974
135	14	23.1511035807478	-9.1511035807478
136	22	24.0778402717124	-2.07784027171239
137	10	17.5671216847841	-7.56712168478412
138	24	24.3869347400251	-0.386934740025127
139	22	21.7577877429307	0.242212257069307
140	24	25.7483722427375	-1.74837224273750
141	19	21.7215716471969	-2.72157164719692
142	20	22.1233790169746	-2.12337901697458
143	13	17.1296228190527	-4.12962281905268
144	20	20.1629843757919	-0.162984375791931
145	22	23.2736867726531	-1.27368677265314
146	24	23.2954896360117	0.704510363988297
147	29	23.2933312452641	5.70666875473591
148	12	20.9893491556104	-8.98934915561044
149	20	20.8602833556258	-0.860283355625828
150	21	21.4303615198721	-0.430361519872093
151	24	23.6426694616269	0.35733053837311
152	22	21.8445551193649	0.155444880635079
153	20	17.6914881684905	2.30851183150953

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.767979555951333	0.464040888097334	0.232020444048667
10	0.675811848431852	0.648376303136295	0.324188151568148
11	0.542151194213988	0.915697611572025	0.457848805786012
12	0.7238431430688	0.5523137138624	0.2761568569312
13	0.626301165161906	0.747397669676188	0.373698834838094
14	0.638507095284056	0.722985809431887	0.361492904715944
15	0.544115332648313	0.911769334703373	0.455884667351687
16	0.456966628594336	0.913933257188672	0.543033371405664
17	0.372645358615889	0.745290717231779	0.62735464138411
18	0.418609356911593	0.837218713823186	0.581390643088407
19	0.622615456537736	0.754769086924529	0.377384543462264
20	0.54817640833451	0.90364718333098	0.45182359166549
21	0.476671190790816	0.953342381581631	0.523328809209184
22	0.458372670067483	0.916745340134966	0.541627329932517
23	0.388681697425425	0.77736339485085	0.611318302574575
24	0.320254432017438	0.640508864034877	0.679745567982562
25	0.328487748921556	0.656975497843112	0.671512251078444
26	0.275777889699292	0.551555779398584	0.724222110300708
27	0.543245153161149	0.913509693677703	0.456754846838851
28	0.508995679199038	0.982008641601924	0.491004320800962
29	0.465364475428411	0.930728950856822	0.534635524571589
30	0.402141764814656	0.804283529629311	0.597858235185344
31	0.387614561083806	0.775229122167612	0.612385438916194
32	0.330500847041665	0.661001694083329	0.669499152958335
33	0.277948661822004	0.555897323644007	0.722051338177996
34	0.246446588237007	0.492893176474015	0.753553411762993
35	0.424900456135902	0.849800912271804	0.575099543864098
36	0.367960967711573	0.735921935423147	0.632039032288427
37	0.331012742665183	0.662025485330366	0.668987257334817
38	0.281555558260043	0.563111116520085	0.718444441739957
39	0.241175225598946	0.482350451197891	0.758824774401054
40	0.222304127596174	0.444608255192349	0.777695872403826
41	0.211330001414379	0.422660002828758	0.788669998585621
42	0.192994981199642	0.385989962399284	0.807005018800358
43	0.157377555342102	0.314755110684205	0.842622444657898
44	0.142822631369638	0.285645262739276	0.857177368630362
45	0.117781726541127	0.235563453082254	0.882218273458873
46	0.0998002956492169	0.199600591298434	0.900199704350783
47	0.166411125094085	0.332822250188170	0.833588874905915
48	0.202775999911146	0.405551999822293	0.797224000088854
49	0.195549101079359	0.391098202158718	0.80445089892064
50	0.261833255380224	0.523666510760449	0.738166744619776
51	0.252151741303299	0.504303482606598	0.747848258696701
52	0.216982170448912	0.433964340897824	0.783017829551088
53	0.230459308227441	0.460918616454883	0.769540691772559
54	0.253432136897946	0.506864273795891	0.746567863102054
55	0.223965243053121	0.447930486106241	0.77603475694688
56	0.188751320204082	0.377502640408163	0.811248679795918
57	0.208408972367161	0.416817944734321	0.79159102763284
58	0.175570920137438	0.351141840274875	0.824429079862562
59	0.145378224737635	0.29075644947527	0.854621775262365
60	0.140003099965024	0.280006199930048	0.859996900034976
61	0.125631810202500	0.251263620405000	0.8743681897975
62	0.125676973115518	0.251353946231037	0.874323026884481
63	0.108271843646489	0.216543687292977	0.891728156353511
64	0.0885262480686746	0.177052496137349	0.911473751931325
65	0.0717043804573877	0.143408760914775	0.928295619542612
66	0.0566901341068237	0.113380268213647	0.943309865893176
67	0.0525936861653169	0.105187372330634	0.947406313834683
68	0.0423119605064039	0.0846239210128078	0.957688039493596
69	0.0350574658614819	0.0701149317229639	0.964942534138518
70	0.0269424960833941	0.0538849921667881	0.973057503916606
71	0.0214298478031956	0.0428596956063911	0.978570152196804
72	0.0171823457898093	0.0343646915796186	0.98281765421019
73	0.0259380918570014	0.0518761837140028	0.974061908142999
74	0.02075385716253	0.04150771432506	0.97924614283747
75	0.0203661946291400	0.0407323892582801	0.97963380537086
76	0.0353989557149713	0.0707979114299427	0.964601044285029
77	0.027328057387103	0.054656114774206	0.972671942612897
78	0.0227194688935897	0.0454389377871793	0.97728053110641
79	0.025131084734482	0.050262169468964	0.974868915265518
80	0.0224249730591749	0.0448499461183498	0.977575026940825
81	0.0170982981137625	0.0341965962275249	0.982901701886238
82	0.0224541849149598	0.0449083698299195	0.97754581508504
83	0.0177699581770900	0.0355399163541800	0.98223004182291
84	0.0133253529188386	0.0266507058376772	0.986674647081161
85	0.0135039329439484	0.0270078658878968	0.986496067056052
86	0.0117321259468524	0.0234642518937049	0.988267874053148
87	0.00900683612513828	0.0180136722502766	0.990993163874862
88	0.00745507708165762	0.0149101541633152	0.992544922918342
89	0.0133513887929268	0.0267027775858536	0.986648611207073
90	0.0120811413076070	0.0241622826152139	0.987918858692393
91	0.0115499613247419	0.0230999226494838	0.988450038675258
92	0.0088468558438529	0.0176937116877058	0.991153144156147
93	0.00654731977080885	0.0130946395416177	0.993452680229191
94	0.00505441190975094	0.0101088238195019	0.99494558809025
95	0.00375649093030542	0.00751298186061084	0.996243509069695
96	0.00268387163816979	0.00536774327633958	0.99731612836183
97	0.00287319771172776	0.00574639542345552	0.997126802288272
98	0.00225014462791089	0.00450028925582178	0.99774985537209
99	0.00937911180684557	0.0187582236136911	0.990620888193154
100	0.0209916711839556	0.0419833423679112	0.979008328816044
101	0.021306242833305	0.04261248566661	0.978693757166695
102	0.0274860402760212	0.0549720805520424	0.972513959723979
103	0.0213505366019137	0.0427010732038274	0.978649463398086
104	0.0157197812768646	0.0314395625537292	0.984280218723135
105	0.0114707337812696	0.0229414675625392	0.98852926621873
106	0.0272197695570097	0.0544395391140195	0.97278023044299
107	0.0253672579831398	0.0507345159662795	0.97463274201686
108	0.0698603259151817	0.139720651830363	0.930139674084818
109	0.0600833163676239	0.120166632735248	0.939916683632376
110	0.0492439476513905	0.098487895302781	0.95075605234861
111	0.138887553787551	0.277775107575103	0.861112446212449
112	0.134100688374156	0.268201376748312	0.865899311625844
113	0.119828211826683	0.239656423653367	0.880171788173317
114	0.205868671985575	0.411737343971151	0.794131328014425
115	0.197797609300692	0.395595218601384	0.802202390699308
116	0.233303725380225	0.46660745076045	0.766696274619775
117	0.226271796073788	0.452543592147577	0.773728203926212
118	0.22535229390359	0.45070458780718	0.77464770609641
119	0.206268070714544	0.412536141429088	0.793731929285456
120	0.170817063245292	0.341634126490584	0.829182936754708
121	0.136061235870412	0.272122471740824	0.863938764129588
122	0.140478746435491	0.280957492870983	0.859521253564509
123	0.197686394380411	0.395372788760823	0.802313605619589
124	0.172534223769342	0.345068447538684	0.827465776230658
125	0.153362129099558	0.306724258199116	0.846637870900442
126	0.134647415111445	0.269294830222889	0.865352584888555
127	0.124951439090553	0.249902878181106	0.875048560909447
128	0.103907361155283	0.207814722310566	0.896092638844717
129	0.139537176285867	0.279074352571734	0.860462823714133
130	0.106245566688325	0.212491133376651	0.893754433311675
131	0.0796638677371195	0.159327735474239	0.92033613226288
132	0.192529173994852	0.385058347989704	0.807470826005148
133	0.26641431136164	0.53282862272328	0.73358568863836
134	0.247169719269558	0.494339438539116	0.752830280730442
135	0.493680575961812	0.987361151923624	0.506319424038188
136	0.445101158082741	0.890202316165482	0.554898841917259
137	0.753249111525827	0.493501776948347	0.246750888474173
138	0.703270905853057	0.593458188293885	0.296729094146943
139	0.604749686879308	0.790500626241385	0.395250313120692
140	0.541621502742614	0.916756994514771	0.458378497257386
141	0.56393158369546	0.87213683260908	0.43606841630454
142	0.436390663689313	0.872781327378627	0.563609336310687
143	0.342987203516609	0.685974407033219	0.65701279648339
144	0.245804415732924	0.491608831465847	0.754195584267076

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	4	0.0294117647058824	NOK
5% type I error level	30	0.220588235294118	NOK
10% type I error level	41	0.301470588235294	NOK