Multiple Linear Regression - Estimated Regression Equation

Software[t] = + 3.88584939634547 -0.0473347328558422Connected[t] + 0.033582457223669Separate[t] + 0.53232381448206Learning[t] -0.0262529956639021Happiness[t] + 0.00665043508903866Belonging[t] -0.00920921561511311Belonging_Final[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)	3.88584939634547	2.045906	1.8993	0.059379	0.029689
Connected	-0.0473347328558422	0.04687	-1.0099	0.314107	0.157054
Separate	0.033582457223669	0.044056	0.7623	0.447056	0.223528
Learning	0.53232381448206	0.066323	8.0263	0	0
Happiness	-0.0262529956639021	0.066274	-0.3961	0.692555	0.346278
Belonging	0.00665043508903866	0.043392	0.1533	0.878389	0.439194
Belonging_Final	-0.00920921561511311	0.062663	-0.147	0.883351	0.441676

Multiple Linear Regression - Regression Statistics
Multiple R	0.5511741764828
R-squared	0.303792972821493
Adjusted R-squared	0.276843023382325
F-TEST (value)	11.2724876722764
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	1.98117744432125e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.82128789875121
Sum Squared Residuals	514.148889571327

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	9.83170453276294	2.16829546723706
2	11	11.2613279771743	-0.261327977174305
3	15	13.5187045963966	1.48129540360337
4	6	11.2645163462055	-5.26451634620546
5	13	10.6333140171207	2.36668598287927
6	10	9.73658147522863	0.263418524771369
7	12	12.8391936067257	-0.839193606725732
8	14	11.1835354592177	2.81646454078226
9	12	10.4936409780626	1.50635902193736
10	6	11.0742598703077	-5.07425987030772
11	10	11.2731986340773	-1.27319863407734
12	12	11.3971960527481	0.602803947251933
13	12	11.5759587208567	0.424041279143345
14	11	11.4682806700669	-0.468280670066923
15	15	12.2338044787686	2.76619552123142
16	12	11.150867784296	0.849132215703967
17	10	10.9581208516266	-0.958120851626634
18	12	13.651378930297	-1.65137893029704
19	11	12.5782649163283	-1.57826491632833
20	12	11.5904527151376	0.409547284862419
21	11	11.5853370187592	-0.585337018759228
22	12	11.7349510301478	0.265048969852215
23	13	13.1177581048409	-0.117758104840907
24	11	11.6780085833755	-0.67800858337551
25	9	11.8106955717052	-2.81069557170515
26	13	11.932193538846	1.06780646115398
27	10	11.5637549127712	-1.56375491277116
28	14	11.2373439413934	2.76265605860661
29	12	11.6597296315031	0.340270368496896
30	10	10.5888136819744	-0.588813681974438
31	12	11.0043740086681	0.995625991331894
32	8	9.78426645005848	-1.78426645005848
33	10	10.2579375509474	-0.257937550947428
34	12	11.7037443975402	0.296255602459848
35	12	10.4742788001652	1.52572119983478
36	7	6.85255320834835	0.147446791651652
37	6	8.71939593415551	-2.71939593415551
38	12	10.4249431895784	1.57505681042159
39	10	11.7068875713581	-1.70688757135814
40	10	11.5853398881632	-1.58533988816322
41	10	11.4102065024999	-1.41020650249991
42	12	10.5107521843672	1.48924781563276
43	15	13.443415917509	1.55658408249101
44	10	10.5351892301156	-0.535189230115584
45	10	10.2370287701771	-0.237028770177126
46	12	8.96049025195756	3.03950974804244
47	13	10.4918658566745	2.50813414332549
48	11	11.1318277533625	-0.131827753362484
49	11	11.6341576342153	-0.634157634215303
50	12	10.3573805670968	1.64261943290321
51	14	11.8180302598943	2.18196974010573
52	10	10.5408136514839	-0.540813651483862
53	12	9.65669828767164	2.34330171232836
54	13	11.7434499947176	1.25655000528242
55	5	8.009100606953	-3.009100606953
56	6	10.3404413124836	-4.34044131248364
57	12	11.3564489555717	0.643551044428337
58	12	11.8371238810161	0.162876118983944
59	11	11.1027395000454	-0.102739500045421
60	10	11.6426165605247	-1.64261656052471
61	7	9.64175618144186	-2.64175618144186
62	12	11.5024939806863	0.497506019313673
63	14	11.7779213606612	2.22207863933883
64	11	10.7391870846585	0.260812915341513
65	12	11.4961301294444	0.503869870555647
66	13	12.3394427952053	0.66055720479471
67	14	12.7023723847795	1.29762761522048
68	11	12.7472303896997	-1.7472303896997
69	12	9.44621115997571	2.55378884002429
70	12	11.6671637257301	0.332836274269913
71	8	8.29216787730213	-0.29216787730213
72	11	10.7823109039495	0.217689096050459
73	14	12.8708609293752	1.12913907062483
74	14	12.7425554162516	1.25744458374842
75	12	11.4572626790917	0.542737320908282
76	9	11.8625206718884	-2.86252067188844
77	13	11.5174294881645	1.48257051183548
78	11	11.5470912753415	-0.547091275341493
79	12	10.2071980715695	1.79280192843047
80	12	11.27230209331	0.727697906690046
81	12	11.757918222648	0.242081777351964
82	12	13.8365390668687	-1.83653906686865
83	12	11.6528369490628	0.347163050937175
84	12	10.8969801457188	1.10301985428119
85	11	11.1776296121814	-0.177629612181436
86	10	11.5937488464004	-1.5937488464004
87	9	10.5399517763347	-1.53995177633467
88	12	11.6873388154347	0.312661184565334
89	12	11.818892242275	0.181107757724963
90	12	11.3026447328502	0.697355267149823
91	9	9.63088382856944	-0.630883828569445
92	15	12.0198729267662	2.9801270732338
93	12	11.8178601728766	0.18213982712338
94	12	11.0320553529333	0.967944647066742
95	12	10.1987381780849	1.80126182191506
96	10	11.445098049323	-1.44509804932301
97	13	11.5748791169477	1.42512088305234
98	9	11.5149390313929	-2.51493903139287
99	12	11.4437908243974	0.556209175602624
100	10	10.7206540212726	-0.720654021272643
101	14	11.457996477389	2.54200352261098
102	11	11.5830624260736	-0.583062426073586
103	15	13.7371860604121	1.26281393958793
104	11	11.059662672191	-0.0596626721910247
105	11	11.8494563787039	-0.849456378703931
106	12	9.82568308639584	2.17431691360416
107	12	11.9645723990811	0.0354276009189152
108	12	11.4544118976053	0.545588102394664
109	11	11.6670554709469	-0.667055470946855
110	7	9.41591844972643	-2.41591844972643
111	12	11.82508116519	0.174918834809998
112	14	11.8420185551294	2.15798144487065
113	11	12.5349660226974	-1.53496602269742
114	11	10.183441843929	0.816558156071032
115	10	9.26419961097515	0.735800389024846
116	13	12.4547326319477	0.545267368052312
117	13	10.807312344013	2.192687655987
118	8	10.7650832008155	-2.76508320081553
119	11	10.1239498292122	0.876050170787844
120	12	11.5377693994761	0.462230600523865
121	11	10.2267471491877	0.773252850812264
122	13	11.5566472637435	1.44335273625652
123	12	10.0178511125631	1.98214888743687
124	14	11.6065836847898	2.39341631521022
125	13	11.0269887271285	1.97301127287149
126	15	11.7951370924014	3.2048629075986
127	10	10.7450220362519	-0.74502203625185
128	11	11.8029676118441	-0.802967611844067
129	9	11.0694187863827	-2.06941878638265
130	11	9.40507151294406	1.59492848705594
131	10	11.7406449569088	-1.74064495690882
132	11	8.7926367826568	2.2073632173432
133	8	11.4468566797027	-3.44685667970273
134	11	9.67328582095697	1.32671417904303
135	12	10.5378444012627	1.46215559873731
136	12	10.9670857407536	1.03291425924644
137	9	9.98593695077581	-0.985936950775813
138	11	11.1013601147862	-0.101360114786201
139	10	9.24477336877748	0.755226631222519
140	8	9.42228735191587	-1.42228735191587
141	9	7.59246243379256	1.40753756620744
142	8	11.691546966827	-3.69154696682704
143	9	11.2613867939919	-2.26138679399189
144	15	12.4070053104553	2.59299468954466
145	11	11.4027148742739	-0.402714874273946
146	8	8.0220883343369	-0.0220883343369024
147	13	12.5122449529088	0.487755047091154
148	12	10.0712700215191	1.92872997848089
149	12	11.6894979160211	0.310502083978915
150	9	10.0495628480447	-1.04956284804468
151	7	8.37723414871201	-1.37723414871201
152	13	10.8764610453998	2.12353895460024
153	9	11.7443380059389	-2.74433800593889
154	6	11.814620501206	-5.81462050120602
155	8	10.6500774834633	-2.65007748346326
156	8	8.39587252780053	-0.395872527800532
157	15	12.0198729267662	2.9801270732338
158	6	10.2292402609002	-4.22924026090022
159	9	11.0694187863827	-2.06941878638265
160	11	11.615965749595	-0.61596574959495
161	8	9.71754954032842	-1.71754954032842
162	8	10.0996136867834	-2.09961368678343

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.999872161855867	0.000255676288265398	0.000127838144132699
11	0.999621375253078	0.000757249493843776	0.000378624746921888
12	0.999541508509171	0.000916982981657265	0.000458491490828633
13	0.999047323119634	0.00190535376073224	0.000952676880366122
14	0.998369085225199	0.00326182954960271	0.00163091477480135
15	0.998012553246854	0.00397489350629271	0.00198744675314636
16	0.996673254180182	0.00665349163963528	0.00332674581981764
17	0.994066997534264	0.0118660049314721	0.00593300246573606
18	0.99296690795087	0.0140661840982598	0.00703309204912992
19	0.99004496920684	0.0199100615863205	0.00995503079316027
20	0.983737343030676	0.0325253139386488	0.0162626569693244
21	0.977440409305707	0.0451191813885861	0.022559590694293
22	0.967237188321483	0.0655256233570348	0.0327628116785174
23	0.952620776047605	0.094758447904791	0.0473792239523955
24	0.935045103525923	0.129909792948155	0.0649548964740774
25	0.934814537142841	0.130370925714318	0.0651854628571588
26	0.934385619455136	0.131228761089728	0.0656143805448642
27	0.93191311275153	0.13617377449694	0.0680868872484701
28	0.940525537277223	0.118948925445554	0.0594744627227771
29	0.920091153794899	0.159817692410201	0.0799088462051005
30	0.89901549821953	0.201969003560941	0.10098450178047
31	0.878862155899014	0.242275688201973	0.121137844100986
32	0.896543604197	0.206912791606	0.103456395803
33	0.867228773182738	0.265542453634524	0.132771226817262
34	0.832842239325361	0.334315521349278	0.167157760674639
35	0.820130270510454	0.359739458979093	0.179869729489546
36	0.782939785955747	0.434120428088506	0.217060214044253
37	0.823466232636222	0.353067534727556	0.176533767363778
38	0.814712766529912	0.370574466940176	0.185287233470088
39	0.804181413472561	0.391637173054878	0.195818586527439
40	0.784605710400972	0.430788579198056	0.215394289599028
41	0.75929419356458	0.481411612870839	0.24070580643542
42	0.743739794322786	0.512520411354429	0.256260205677214
43	0.740541405310257	0.518917189379485	0.259458594689743
44	0.697393138744042	0.605213722511916	0.302606861255958
45	0.651912984289208	0.696174031421584	0.348087015710792
46	0.71965241261594	0.560695174768119	0.28034758738406
47	0.733501019875813	0.532997960248375	0.266498980124187
48	0.689322224807825	0.62135555038435	0.310677775192175
49	0.653654434546707	0.692691130906586	0.346345565453293
50	0.641314602131867	0.717370795736265	0.358685397868133
51	0.650106355304124	0.699787289391753	0.349893644695876
52	0.603947263879076	0.792105472241848	0.396052736120924
53	0.625722123354581	0.748555753290838	0.374277876645419
54	0.592243611079354	0.815512777841292	0.407756388920646
55	0.67983855157262	0.640322896854761	0.32016144842738
56	0.841320807900764	0.317358384198473	0.158679192099236
57	0.813528343881299	0.372943312237403	0.186471656118701
58	0.779481745974703	0.441036508050593	0.220518254025297
59	0.742315034993903	0.515369930012194	0.257684965006097
60	0.730768766933754	0.538462466132492	0.269231233066246
61	0.750706868668719	0.498586262662561	0.249293131331281
62	0.714777917864622	0.570444164270755	0.285222082135378
63	0.731690714697425	0.536618570605149	0.268309285302575
64	0.691380071487826	0.617239857024348	0.308619928512174
65	0.656792295647053	0.686415408705894	0.343207704352947
66	0.616649110743343	0.766701778513314	0.383350889256657
67	0.595283473027757	0.809433053944487	0.404716526972243
68	0.578678971132781	0.842642057734438	0.421321028867219
69	0.597196128485122	0.805607743029756	0.402803871514878
70	0.553301268793555	0.893397462412891	0.446698731206445
71	0.511933076370144	0.976133847259712	0.488066923629856
72	0.468986413702339	0.937972827404678	0.531013586297661
73	0.43740245386805	0.874804907736099	0.56259754613195
74	0.414740643841484	0.829481287682969	0.585259356158516
75	0.389077068964923	0.778154137929846	0.610922931035077
76	0.452782101799702	0.905564203599404	0.547217898200298
77	0.438199617858711	0.876399235717423	0.561800382141289
78	0.396697985942168	0.793395971884336	0.603302014057832
79	0.400426181742604	0.800852363485208	0.599573818257396
80	0.382429968918521	0.764859937837042	0.617570031081479
81	0.340609597010473	0.681219194020947	0.659390402989527
82	0.34887542308191	0.69775084616382	0.65112457691809
83	0.312374625910937	0.624749251821873	0.687625374089063
84	0.284704777622369	0.569409555244739	0.715295222377631
85	0.247058082277329	0.494116164554658	0.752941917722671
86	0.239523694987643	0.479047389975286	0.760476305012357
87	0.241069047674926	0.482138095349852	0.758930952325074
88	0.207199910417702	0.414399820835405	0.792800089582298
89	0.176571122520139	0.353142245040279	0.823428877479861
90	0.15192680262732	0.303853605254641	0.84807319737268
91	0.131560683612974	0.263121367225947	0.868439316387026
92	0.183196950011458	0.366393900022916	0.816803049988542
93	0.158328211798009	0.316656423596018	0.841671788201991
94	0.141355295925551	0.282710591851102	0.858644704074449
95	0.137532917593032	0.275065835186064	0.862467082406968
96	0.130636101890986	0.261272203781973	0.869363898109014
97	0.121437701811077	0.242875403622154	0.878562298188923
98	0.153374732531939	0.306749465063877	0.846625267468061
99	0.128323062443805	0.25664612488761	0.871676937556195
100	0.10883924312602	0.217678486252039	0.89116075687398
101	0.129282972130511	0.258565944261021	0.870717027869489
102	0.108216479785205	0.21643295957041	0.891783520214795
103	0.101373640203148	0.202747280406296	0.898626359796852
104	0.0825720059677654	0.165144011935531	0.917427994032235
105	0.0694969728698122	0.138993945739624	0.930503027130188
106	0.0695399001553407	0.139079800310681	0.930460099844659
107	0.0552025965598187	0.110405193119637	0.944797403440181
108	0.04601000145435	0.0920200029087	0.95398999854565
109	0.0362280846368673	0.0724561692737346	0.963771915363133
110	0.0409791670274397	0.0819583340548795	0.95902083297256
111	0.0314564258772069	0.0629128517544138	0.968543574122793
112	0.0339695327504575	0.067939065500915	0.966030467249543
113	0.0300835109290435	0.060167021858087	0.969916489070957
114	0.0241901409001046	0.0483802818002093	0.975809859099895
115	0.018620234232074	0.037240468464148	0.981379765767926
116	0.0142295466473433	0.0284590932946866	0.985770453352657
117	0.0201326388781259	0.0402652777562518	0.979867361121874
118	0.0232380259835347	0.0464760519670694	0.976761974016465
119	0.0186591953130149	0.0373183906260299	0.981340804686985
120	0.0138980580960273	0.0277961161920546	0.986101941903973
121	0.0113649055992513	0.0227298111985025	0.988635094400749
122	0.00929110627263377	0.0185822125452675	0.990708893727366
123	0.0108484657587587	0.0216969315175175	0.989151534241241
124	0.0195761437828055	0.0391522875656111	0.980423856217194
125	0.021252754075315	0.04250550815063	0.978747245924685
126	0.0512843615392419	0.102568723078484	0.948715638460758
127	0.039099368150631	0.078198736301262	0.960900631849369
128	0.0299398167815586	0.0598796335631172	0.970060183218441
129	0.0254182537697035	0.050836507539407	0.974581746230296
130	0.0240146046042122	0.0480292092084244	0.975985395395788
131	0.0191241464393436	0.0382482928786873	0.980875853560656
132	0.0217889035111795	0.043577807022359	0.97821109648882
133	0.0328914449631609	0.0657828899263218	0.967108555036839
134	0.0354203341636971	0.0708406683273941	0.964579665836303
135	0.0389783827117361	0.0779567654234723	0.961021617288264
136	0.0319658522950171	0.0639317045900342	0.968034147704983
137	0.0297844382506762	0.0595688765013523	0.970215561749324
138	0.0221932024874507	0.0443864049749014	0.977806797512549
139	0.0227836293698662	0.0455672587397324	0.977216370630134
140	0.016119858564664	0.032239717129328	0.983880141435336
141	0.0469323741206922	0.0938647482413844	0.953067625879308
142	0.0514962529012711	0.102992505802542	0.948503747098729
143	0.0376635748973914	0.0753271497947828	0.962336425102609
144	0.363867472722629	0.727734945445259	0.636132527277371
145	0.393634685433086	0.787269370866173	0.606365314566914
146	0.679659561622115	0.640680876755769	0.320340438377885
147	0.708464265115929	0.583071469768142	0.291535734884071
148	0.930886728919483	0.138226542161034	0.0691132710805172
149	0.907871192047628	0.184257615904745	0.0921288079523723
150	0.83757723219203	0.32484553561594	0.16242276780797
151	0.740544496197942	0.518911007604117	0.259455503802058
152	0.615724824290544	0.768550351418911	0.384275175709456

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	7	0.048951048951049	NOK
5% type I error level	30	0.20979020979021	NOK
10% type I error level	48	0.335664335664336	NOK