Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 118.587702458165 -0.056288591856722Jaar[t] + 0.107231629617173Connected[t] -0.0173315645800658Separate[t] + 0.533474933820667Software[t] + 0.0559979525339901Happiness[t] -0.0701374977101899Depression[t] + 0.00497559096325706`Belonging\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)	118.587702458165	89.533399	1.3245	0.187297	0.093648
Jaar	-0.056288591856722	0.044646	-1.2608	0.209292	0.104646
Connected	0.107231629617173	0.04716	2.2738	0.024362	0.012181
Separate	-0.0173315645800658	0.04481	-0.3868	0.699451	0.349726
Software	0.533474933820667	0.06931	7.6969	0	0
Happiness	0.0559979525339901	0.076251	0.7344	0.46383	0.231915
Depression	-0.0701374977101899	0.055997	-1.2525	0.21228	0.10614
`Belonging\r`	0.00497559096325706	0.014654	0.3395	0.734664	0.367332

Multiple Linear Regression - Regression Statistics
Multiple R	0.600437040999097
R-squared	0.360524640203751
Adjusted R-squared	0.331457578394831
F-TEST (value)	12.4032020358215
F-TEST (DF numerator)	7
F-TEST (DF denominator)	154
p-value	1.52966528332854e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84481928652867
Sum Squared Residuals	524.117162792017

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.3561429948372	-3.35614299483716
2	16	16.1705179988959	-0.170517998895882
3	19	16.5854283937502	2.41457160624984
4	15	12.1272972870591	2.87270271294092
5	14	15.7515251037486	-1.75152510374857
6	13	15.1501690149305	-2.15016901493048
7	19	15.5616257105611	3.43837428943892
8	15	16.9116130380363	-1.91161303803625
9	14	16.172739898674	-2.17273989867397
10	15	12.8266659204229	2.17333407957712
11	16	15.5264534084715	0.473546591528492
12	16	16.4548264495452	-0.454826449545233
13	16	15.7216967699446	0.278303230055385
14	16	15.528612710536	0.471387289464011
15	17	17.5931946303919	-0.59319463039191
16	15	15.3060305187218	-0.306030518721824
17	15	14.7699237805046	0.230076219495383
18	20	16.3904365531548	3.60956344684522
19	18	15.7469227059413	2.25307729405866
20	16	15.5005198951168	0.499480104883197
21	16	15.5273146067145	0.472685393285498
22	16	15.1152240702954	0.884775929704617
23	19	16.6238416685297	2.37615833147028
24	16	15.0827772585121	0.917222741487869
25	17	14.9912815868638	2.00871841313616
26	17	17.0020824107498	-0.00208241074976706
27	16	14.9890244840695	1.0109755159305
28	15	16.339191168689	-1.33919116868898
29	16	15.5124833282814	0.487516671718594
30	14	14.3441792772356	-0.344179277235646
31	15	15.8013145149588	-0.801314514958843
32	12	12.4509777939794	-0.450977793979427
33	14	15.2668398674348	-1.26683986743483
34	16	15.7906547384884	0.209345261511572
35	14	15.6659468329619	-1.66594683296195
36	7	13.1798708316132	-6.17987083161323
37	10	11.0859237701349	-1.08592377013491
38	14	15.9396240758105	-1.9396240758105
39	16	14.4338647853137	1.56613521468626
40	16	14.7274818951212	1.27251810487884
41	16	15.16628807653	0.833711923469972
42	14	15.6044975456861	-1.60449754568608
43	20	17.9675180062296	2.03248199377042
44	14	14.306348905371	-0.306348905371041
45	14	15.0096991566288	-1.00969915662883
46	11	15.6468479036749	-4.6468479036749
47	14	16.7078432368794	-2.70784323687943
48	15	15.1008739582647	-0.100873958264749
49	16	15.17971291206	0.820287087940032
50	14	16.0931742642634	-2.09317426426343
51	16	16.6359495491437	-0.635949549143724
52	14	14.2232784797766	-0.223278479776556
53	12	14.7134988495252	-2.71349884952521
54	16	15.7063515720914	0.29364842790861
55	9	11.5434663138659	-2.54346631386593
56	14	12.7756384381866	1.22436156181342
57	16	16.1321974440821	-0.132197444082085
58	16	15.2496040494743	0.750395950525674
59	15	15.3310412138983	-0.331041213898293
60	16	14.2521518885627	1.74784811143731
61	12	11.5602939814329	0.43970601856706
62	16	15.9420362274629	0.0579637725370968
63	16	16.4507321069875	-0.4507321069875
64	14	14.4319415047741	-0.431941504774144
65	16	15.4925242179373	0.507475782062713
66	17	16.0188919916898	0.981108008310155
67	18	16.2034877852183	1.79651221478165
68	18	14.5398403005216	3.46015969947843
69	12	15.8611900116152	-3.86119001161515
70	16	15.443974234956	0.556025765043991
71	10	13.6532893163546	-3.65328931635461
72	14	14.3754678084615	-0.375467808461528
73	18	16.4988739330893	1.50112606691069
74	18	17.0438427239694	0.956157276030641
75	16	15.6831087036509	0.31689129634906
76	17	13.9298470584661	3.07015294153393
77	16	16.3790214217524	-0.379021421752449
78	16	14.5848486608	1.41515133919999
79	13	14.9072844405324	-1.90728444053244
80	16	15.9958108590251	0.00418914097487342
81	16	15.4507223512081	0.549277648791853
82	20	15.7273172335613	4.27268276643871
83	16	15.7483243135768	0.25167568642325
84	15	15.8876504724613	-0.887650472461294
85	15	14.7397122824774	0.260287717522551
86	16	14.2642061765863	1.73579382341374
87	14	14.1742836448184	-0.174283644818405
88	16	15.3094941204915	0.690505879508472
89	16	14.5741864210696	1.42581357893045
90	15	14.238440631195	0.761559368804978
91	12	13.5777016543799	-1.57770165437986
92	17	16.9252326298518	0.0747673701482353
93	16	15.4283016101953	0.57169838980473
94	15	15.1605220677465	-0.160522067746522
95	13	15.0326138119686	-2.0326138119686
96	16	15.0318472129104	0.968152787089625
97	16	15.8057295204354	0.194270479564641
98	16	14.0341564965269	1.96584350347315
99	16	15.9799704939747	0.0200295060252575
100	14	14.2754629869133	-0.275462986913336
101	16	17.164748404967	-1.16474840496702
102	16	14.7586820166471	1.24131798335295
103	20	17.3149358856882	2.68506411431178
104	15	14.6037052198958	0.396294780104191
105	16	14.4582766432396	1.54172335676039
106	13	15.2625622275106	-2.26256222751061
107	17	15.9889946516616	1.01100534833843
108	16	15.8097998862916	0.190200113708395
109	16	14.4587671595135	1.54123284048652
110	12	12.2831256723928	-0.283125672392799
111	16	14.8556276875625	1.14437231243748
112	16	15.7132067138489	0.286793286151116
113	17	14.5435651947579	2.45643480524213
114	13	14.2088861249288	-1.20888612492877
115	12	14.8177145344842	-2.8177145344842
116	18	16.5308374650913	1.4691625349087
117	14	15.4114936232491	-1.41149362324912
118	14	13.0010975368853	0.99890246311474
119	13	14.8565229315079	-1.85652293150792
120	16	15.5924868728016	0.407513127198355
121	13	14.2144050465698	-1.21440504656981
122	16	15.5318037047473	0.468196295252714
123	13	15.8157759396162	-2.81577593961622
124	16	16.9385555528287	-0.938555552828674
125	15	15.8721357865794	-0.872135786579435
126	16	16.6078169065379	-0.607816906537854
127	15	15.3047626428143	-0.304762642814324
128	17	16.0331903218279	0.966809678172097
129	15	13.9153747662385	1.08462523376155
130	12	14.8397354626287	-2.83973546262868
131	16	14.0078691393456	1.99213086065437
132	10	13.2496418749337	-3.24964187493372
133	16	13.9414329988791	2.05856700112087
134	12	13.8587729872683	-1.85877298726831
135	14	15.5811045124201	-1.58110451242007
136	15	15.1564581303745	-0.156458130374461
137	13	12.1415953816146	0.858404618385351
138	15	14.4706363430812	0.529363656918842
139	11	13.1551857191001	-2.15518571910014
140	12	13.2661607724442	-1.26616077244421
141	8	13.1961221752542	-5.19612217525424
142	16	12.9648474716703	3.03515252832969
143	15	13.2085748368476	1.79142516315242
144	17	16.4303231474704	0.569676852529573
145	16	14.6228514506304	1.3771485493696
146	10	14.0347013408857	-4.03470134088569
147	18	15.7787290511394	2.22127094886063
148	13	15.0884598387746	-2.08845983877455
149	16	15.0170979556094	0.982902044390583
150	13	12.9819914572089	0.0180085427911352
151	10	13.0017821777702	-3.00178217777021
152	15	16.1176865363906	-1.11768653639057
153	16	13.7978913111679	2.20210868883211
154	16	11.8579378624397	4.14206213756028
155	14	12.3376624385183	1.66233756148168
156	10	12.5141034995396	-2.51410349953963
157	17	16.6437896705682	0.356210329431845
158	13	11.5277002395062	1.47229976049384
159	15	13.802797582525	1.19720241747499
160	16	14.86551939121	1.13448060879001
161	12	12.3114012048477	-0.311401204847747
162	13	12.6301719830075	0.369828016992459

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.448564512891845	0.89712902578369	0.551435487108155
12	0.904675470368808	0.190649059262385	0.0953245296311924
13	0.845394133424907	0.309211733150187	0.154605866575093
14	0.762215504849031	0.475568990301939	0.237784495150969
15	0.68586932292612	0.62826135414776	0.31413067707388
16	0.747300314055849	0.505399371888301	0.252699685944151
17	0.682840515259918	0.634318969480164	0.317159484740082
18	0.886085465955674	0.227829068088652	0.113914534044326
19	0.865465219714351	0.269069560571298	0.134534780285649
20	0.815369194994935	0.36926161001013	0.184630805005065
21	0.757718760493672	0.484562479012657	0.242281239506328
22	0.708869172119951	0.582261655760098	0.291130827880049
23	0.697601888093463	0.604796223813074	0.302398111906537
24	0.652960504537145	0.694078990925711	0.347039495462855
25	0.600531798719159	0.798936402561681	0.399468201280841
26	0.550549883723171	0.898900232553658	0.449450116276829
27	0.518024063576233	0.963951872847533	0.481975936423767
28	0.562599768598043	0.874800462803915	0.437400231401957
29	0.502404726477407	0.995190547045186	0.497595273522593
30	0.510201782887662	0.979596434224675	0.489798217112338
31	0.452807342451329	0.905614684902658	0.547192657548671
32	0.439179293898988	0.878358587797977	0.560820706101012
33	0.41689798559316	0.83379597118632	0.58310201440684
34	0.35789677583221	0.71579355166442	0.64210322416779
35	0.338026885645405	0.67605377129081	0.661973114354595
36	0.837536972329181	0.324926055341639	0.162463027670819
37	0.822710861875476	0.354578276249048	0.177289138124524
38	0.810593719126479	0.378812561747042	0.189406280873521
39	0.834162389976906	0.331675220046187	0.165837610023094
40	0.825678654282007	0.348642691435985	0.174321345717993
41	0.800721322463261	0.398557355073479	0.199278677536739
42	0.779662981784524	0.440674036430952	0.220337018215476
43	0.798098854483603	0.403802291032794	0.201901145516397
44	0.76061952472981	0.478760950540379	0.23938047527019
45	0.728212864813523	0.543574270372955	0.271787135186477
46	0.887090390685484	0.225819218629033	0.112909609314516
47	0.898254159787467	0.203491680425067	0.101745840212533
48	0.876639837512743	0.246720324974514	0.123360162487257
49	0.859384814639244	0.281230370721513	0.140615185360756
50	0.854831568986328	0.290336862027344	0.145168431013672
51	0.826532721723322	0.346934556553355	0.173467278276677
52	0.794180259226981	0.411639481546038	0.205819740773019
53	0.804548967067952	0.390902065864095	0.195451032932048
54	0.780205775932391	0.439588448135218	0.219794224067609
55	0.796615468067843	0.406769063864313	0.203384531932156
56	0.789716721276361	0.420566557447278	0.210283278723639
57	0.754288316784046	0.491423366431909	0.245711683215954
58	0.742585060714509	0.514829878570981	0.257414939285491
59	0.707592139614907	0.584815720770186	0.292407860385093
60	0.713353668281016	0.573292663437969	0.286646331718984
61	0.677967883881016	0.644064232237967	0.322032116118984
62	0.636525974534446	0.726948050931107	0.363474025465554
63	0.596625875341722	0.806748249316556	0.403374124658278
64	0.553362601995021	0.893274796009959	0.446637398004979
65	0.513925599611689	0.972148800776622	0.486074400388311
66	0.486733829702004	0.973467659404008	0.513266170297996
67	0.485611047224809	0.971222094449617	0.514388952775191
68	0.609191015508159	0.781617968983682	0.390808984491841
69	0.733770309453212	0.532459381093577	0.266229690546788
70	0.700325829342299	0.599348341315403	0.299674170657701
71	0.803051570094779	0.393896859810443	0.196948429905221
72	0.773261767808204	0.453476464383593	0.226738232191796
73	0.764664342981702	0.470671314036596	0.235335657018298
74	0.741862421037232	0.516275157925536	0.258137578962768
75	0.703050817846111	0.593898364307778	0.296949182153889
76	0.752298172577151	0.495403654845698	0.247701827422849
77	0.715566006360098	0.568867987279804	0.284433993639902
78	0.693447656534622	0.613104686930756	0.306552343465378
79	0.701574840558377	0.596850318883245	0.298425159441623
80	0.663320950395737	0.673358099208526	0.336679049604263
81	0.624825834823309	0.750348330353383	0.375174165176691
82	0.789101461258303	0.421797077483393	0.210898538741697
83	0.754563112434081	0.490873775131837	0.245436887565919
84	0.727122584006789	0.545754831986422	0.272877415993211
85	0.687524977567233	0.624950044865534	0.312475022432767
86	0.673609578447544	0.652780843104911	0.326390421552456
87	0.631399840208132	0.737200319583735	0.368600159791868
88	0.589757457681053	0.820485084637894	0.410242542318947
89	0.566105414397026	0.867789171205947	0.433894585602974
90	0.527818924965132	0.944362150069735	0.472181075034867
91	0.520063235721427	0.959873528557147	0.479936764278573
92	0.479111812689455	0.95822362537891	0.520888187310545
93	0.435624966753455	0.87124993350691	0.564375033246545
94	0.390635376816418	0.781270753632835	0.609364623183582
95	0.414230770922846	0.828461541845692	0.585769229077154
96	0.3769566794577	0.753913358915401	0.6230433205423
97	0.335146186791329	0.670292373582658	0.664853813208671
98	0.328064533605817	0.656129067211634	0.671935466394183
99	0.285814077450691	0.571628154901383	0.714185922549309
100	0.251345898140352	0.502691796280704	0.748654101859648
101	0.228489108249067	0.456978216498135	0.771510891750933
102	0.208107340949077	0.416214681898153	0.791892659050923
103	0.250344532720283	0.500689065440566	0.749655467279717
104	0.213374297957637	0.426748595915275	0.786625702042362
105	0.205921150065141	0.411842300130283	0.794078849934859
106	0.21758667830382	0.435173356607641	0.78241332169618
107	0.195343821006141	0.390687642012283	0.804656178993859
108	0.174059770333428	0.348119540666856	0.825940229666572
109	0.169075829703031	0.338151659406062	0.830924170296969
110	0.164432654156304	0.328865308312608	0.835567345843696
111	0.149147785835847	0.298295571671695	0.850852214164153
112	0.126933357068181	0.253866714136362	0.873066642931819
113	0.15998772893101	0.31997545786202	0.84001227106899
114	0.137436650009608	0.274873300019216	0.862563349990392
115	0.159178545341927	0.318357090683854	0.840821454658073
116	0.159205523311661	0.318411046623322	0.840794476688339
117	0.136177573219072	0.272355146438144	0.863822426780928
118	0.131224849586809	0.262449699173619	0.868775150413191
119	0.12258262270095	0.245165245401899	0.87741737729905
120	0.136025029694187	0.272050059388373	0.863974970305813
121	0.112207731781869	0.224415463563737	0.887792268218131
122	0.101722885727941	0.203445771455881	0.898277114272059
123	0.101469919726022	0.202939839452044	0.898530080273978
124	0.0807770485975429	0.161554097195086	0.919222951402457
125	0.0639135305145454	0.127827061029091	0.936086469485455
126	0.0483489230774824	0.0966978461549649	0.951651076922518
127	0.035630360138984	0.0712607202779679	0.964369639861016
128	0.0352379211590245	0.0704758423180489	0.964762078840976
129	0.033041707495097	0.066083414990194	0.966958292504903
130	0.0337415934656903	0.0674831869313805	0.96625840653431
131	0.0365772900289572	0.0731545800579145	0.963422709971043
132	0.0388615170383094	0.0777230340766187	0.961138482961691
133	0.0905190797512903	0.181038159502581	0.90948092024871
134	0.0837338273476508	0.167467654695302	0.916266172652349
135	0.0696323307698759	0.139264661539752	0.930367669230124
136	0.0614694452354991	0.122938890470998	0.938530554764501
137	0.0441736935758091	0.0883473871516182	0.955826306424191
138	0.0360023163965394	0.0720046327930788	0.963997683603461
139	0.0436149042141277	0.0872298084282554	0.956385095785872
140	0.0312602144090467	0.0625204288180933	0.968739785590953
141	0.492447574131017	0.984895148262033	0.507552425868983
142	0.44400403125301	0.88800806250602	0.55599596874699
143	0.426541125784808	0.853082251569615	0.573458874215192
144	0.341223353980372	0.682446707960744	0.658776646019628
145	0.276031251541083	0.552062503082167	0.723968748458917
146	0.246318676604733	0.492637353209465	0.753681323395267
147	0.381517534404483	0.763035068808966	0.618482465595517
148	0.694007475981321	0.611985048037358	0.305992524018679
149	0.61406156050568	0.77187687898864	0.38593843949432
150	0.466682832533037	0.933365665066074	0.533317167466963
151	0.705941385660778	0.588117228678444	0.294058614339222

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	0	0	OK
10% type I error level	11	0.0780141843971631	OK