Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 6.3497419249505 + 0.108770127871114Connected[t] -0.0196534564877116Separate[t] + 0.534475689426862Software[t] + 0.0608299746430892Happiness[t] -0.0730079569894138Depression[t] -0.00386059736518057t + 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)	6.3497419249505	2.415661	2.6286	0.009437	0.004719
Connected	0.108770127871114	0.046833	2.3225	0.021505	0.010753
Separate	-0.0196534564877116	0.044373	-0.4429	0.658446	0.329223
Software	0.534475689426862	0.069055	7.7398	0	0
Happiness	0.0608299746430892	0.074729	0.814	0.416887	0.208444
Depression	-0.0730079569894138	0.055147	-1.3239	0.187492	0.093746
t	-0.00386059736518057	0.003171	-1.2174	0.225317	0.112659

Multiple Linear Regression - Regression Statistics
Multiple R	0.60000526141808
R-squared	0.360006313729378
Adjusted R-squared	0.335232364583418
F-TEST (value)	14.5316482087028
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	4.02788913334007e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.83960371912531
Sum Squared Residuals	524.54198573005

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.4478576580206	-3.4478576580206
2	16	16.1262297099743	-0.126229709974346
3	19	16.5775466565436	2.42245334345641
4	15	12.1183277838051	2.8816722161949
5	14	15.6897418557581	-1.68974185575808
6	13	15.127183532076	-2.12718353207603
7	19	15.6146484436071	3.38535155639289
8	15	16.8407088301851	-1.84070883018507
9	14	16.1389284978286	-2.13892849782861
10	15	12.758999651342	2.241000348658
11	16	15.4800699552238	0.51993004477622
12	16	16.536335974772	-0.536335974771966
13	16	15.6718367059476	0.328163294052397
14	16	15.6212979824115	0.378702017588512
15	17	17.5360646092586	-0.536064609258616
16	15	15.3632689151626	-0.363268915162571
17	15	14.7451909069158	0.254809093084166
18	20	16.3114150001178	3.68858499988216
19	18	15.7723668742571	2.22763312574294
20	16	15.5621478884652	0.437852111534848
21	16	15.5638658364081	0.436134163591941
22	16	15.0881521921465	0.911847807853471
23	19	16.6798599496712	2.32014005032876
24	16	15.1021783979574	0.897821602042614
25	17	14.9076546170784	2.09234538292162
26	17	16.918613149997	0.0813868500030126
27	16	14.9883083840553	1.01169161594469
28	15	16.343041470565	-1.34304147056498
29	16	15.4826812519294	0.517318748070574
30	14	14.3483274619987	-0.348327461998693
31	15	15.7815568434856	-0.781556843485553
32	12	12.5055614851119	-0.505561485111873
33	14	15.2863666853187	-1.28636668531869
34	16	15.712558437992	0.287441562007968
35	14	15.6394261474189	-1.63942614741892
36	7	13.1733862119473	-6.17338621194731
37	10	11.0461411481428	-1.04614114814276
38	14	15.920262173235	-1.92026217323497
39	16	14.3930420781587	1.6069579218413
40	16	14.7591754364724	1.24082456352758
41	16	15.1871764576128	0.812823542387227
42	14	15.6020935886963	-1.60209358869628
43	20	18.0944417695203	1.90555823047966
44	14	14.390871244411	-0.390871244410955
45	14	15.0306121840659	-1.03061218406592
46	11	15.6425127536474	-4.64251275364745
47	14	16.7386358741594	-2.73863587415941
48	15	15.0742246270447	-0.0742246270446635
49	16	15.1476887086705	0.852311291329499
50	14	16.062476724786	-2.06247672478598
51	16	16.6125238810403	-0.612523881040249
52	14	14.2142964006255	-0.214296400625481
53	12	14.745905060764	-2.74590506076397
54	16	15.7486549287301	0.251345071269938
55	9	11.5883931701023	-2.58839317010227
56	14	12.7723408684594	1.22765913154062
57	16	16.1413897680758	-0.141389768075846
58	16	15.2810297453141	0.718970254685909
59	15	15.3180496875969	-0.318049687596856
60	16	14.2364402730909	1.76355972690906
61	12	11.5948630234964	0.405136976503551
62	16	15.903834686439	0.0961653135610249
63	16	16.3925315506692	-0.392531550669172
64	14	14.4954075113605	-0.495407511360504
65	16	15.5647847446189	0.435215255381124
66	17	15.9281152663888	1.07188473361122
67	18	16.2295896320036	1.77041036799639
68	18	14.552778610623	3.44722138937699
69	12	15.9163118861243	-3.91631188612432
70	16	15.4633231897484	0.536676810251596
71	10	13.6797016571232	-3.67970165712316
72	14	14.4542143552727	-0.454214355272689
73	18	16.4456236926495	1.55437630735054
74	18	17.0565605647616	0.943439435238443
75	16	15.6291485616106	0.370851438389434
76	17	13.8618575352988	3.13814246470116
77	16	16.3829828596368	-0.382982859636822
78	16	14.5664295122008	1.43357048779917
79	13	14.8581156142797	-1.85811561427966
80	16	16.0821718723768	-0.0821718723768332
81	16	15.4419936904451	0.558006309554857
82	20	15.9677446232215	4.0322553767785
83	16	15.7781752089481	0.221824791051874
84	15	15.9122747969509	-0.912274796950867
85	15	14.7496044396725	0.250395560327546
86	16	14.2451607185822	1.75483928141784
87	14	14.1542773938871	-0.154277393887082
88	16	15.3204384902318	0.679561509768201
89	16	14.6409504487463	1.35904955125374
90	15	14.1764813595934	0.823518640406613
91	12	13.5580644280779	-1.55806442807788
92	17	16.9941866200291	0.00581337997090281
93	16	15.3689235813878	0.631076418612182
94	15	15.0874016461276	-0.0874016461276298
95	13	15.0221335624777	-2.02213356247766
96	16	15.0285840929835	0.971415907016516
97	16	15.8219040811249	0.178095918875054
98	16	14.0279140304942	1.97208596950581
99	16	15.9685503116179	0.0314496883820499
100	14	14.2639287907713	-0.263928790771288
101	16	17.1722516676264	-1.17225166762642
102	16	14.7336497154453	1.26635028455468
103	20	17.2549665614711	2.74503343852894
104	15	14.6238618870774	0.37613811292265
105	16	14.3908635098437	1.60913649015626
106	13	15.2364399735904	-2.23643997359043
107	17	15.9659522294368	1.03404777056318
108	16	15.783918430144	0.216081569856024
109	16	14.5492034137212	1.45079658627882
110	12	12.3741851454276	-0.374185145427642
111	16	14.8201484278836	1.17985157211643
112	16	15.6973349381692	0.302665061830836
113	17	14.4552815257367	2.54471847426335
114	13	14.3774467269586	-1.3774467269586
115	12	14.825651392575	-2.82565139257501
116	18	16.4888807411585	1.51111925884151
117	14	15.4790202031633	-1.47902020316333
118	14	12.9845592435244	1.01544075647563
119	13	14.8656546969649	-1.86565469696487
120	16	15.4824192299579	0.517580770042074
121	13	14.2589188980364	-1.25891889803642
122	16	15.4976718949354	0.502328105064553
123	13	15.764738871	-2.76473887099999
124	16	16.9597368520734	-0.959736852073376
125	15	15.9048703782426	-0.904870378242617
126	16	16.5914540417273	-0.591454041727331
127	15	15.2673732462251	-0.267373246225063
128	17	16.0582488682495	0.941751131750494
129	15	13.8965778472082	1.10342215279175
130	12	14.848833441351	-2.84883344135097
131	16	14.0085427356382	1.99145726436177
132	10	13.2233392612261	-3.22333926122609
133	16	13.9180852653478	2.08191473465219
134	12	13.8761744844056	-1.87617448440564
135	14	15.556287074245	-1.55628707424501
136	15	15.1002710065779	-0.100271006577926
137	13	12.2342555387415	0.765744461258484
138	15	14.5360336899505	0.463966310049517
139	11	13.2341110537659	-2.23411105376589
140	12	13.3331628569097	-1.33316285690969
141	8	13.2143760747236	-5.21437607472362
142	16	13.0721392355554	2.9278607644446
143	15	13.1540122185603	1.84598778143971
144	17	16.3617082659612	0.638291734038782
145	16	14.6253864912553	1.37461350874467
146	10	13.9736402561804	-3.9736402561804
147	18	15.7776029519421	2.22239704805795
148	13	15.1203082380402	-2.1203082380402
149	16	14.986480300251	1.01351969974896
150	13	12.9192959818863	0.0807040181136726
151	10	12.9720857152943	-2.9720857152943
152	15	16.1019369700738	-1.10193697007384
153	16	13.8369127153892	2.16308728461084
154	16	11.8563979515862	4.1436020484138
155	14	12.3262103926581	1.67378960734186
156	10	12.4800977645756	-2.48009776457564
157	17	16.7432477912924	0.256752208707641
158	13	11.5295961267949	1.47040387320509
159	15	13.7807599262528	1.21924007374717
160	16	14.8142707276836	1.18572927231637
161	12	12.2125808492847	-0.212580849284684
162	13	12.6134529397959	0.386547060204064

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.857747556687216	0.284504886625568	0.142252443312784
11	0.773021752430031	0.453956495139938	0.226978247569969
12	0.782705077882017	0.434589844235966	0.217294922117983
13	0.776778003023731	0.446443993952539	0.223221996976269
14	0.709104622576647	0.581790754846707	0.290895377423353
15	0.637545063798093	0.724909872403815	0.362454936201907
16	0.65844658465271	0.68310683069458	0.34155341534729
17	0.601966882656398	0.796066234687204	0.398033117343602
18	0.837231559562617	0.325536880874766	0.162768440437383
19	0.806272922944117	0.387454154111766	0.193727077055883
20	0.757986495472222	0.484027009055557	0.242013504527779
21	0.691999837452346	0.616000325095308	0.308000162547654
22	0.646654390267744	0.706691219464512	0.353345609732256
23	0.607594934234403	0.784810131531194	0.392405065765597
24	0.587387597755108	0.825224804489784	0.412612402244892
25	0.533587015547478	0.932825968905044	0.466412984452522
26	0.478687295925333	0.957374591850666	0.521312704074667
27	0.428398059812136	0.856796119624271	0.571601940187864
28	0.477900821823491	0.955801643646982	0.522099178176509
29	0.420572181059136	0.841144362118273	0.579427818940864
30	0.43612976415321	0.872259528306419	0.56387023584679
31	0.384315175608889	0.768630351217778	0.615684824391111
32	0.389375019331954	0.778750038663908	0.610624980668046
33	0.380174030837779	0.760348061675558	0.619825969162221
34	0.323784644833626	0.647569289667253	0.676215355166374
35	0.309558324928077	0.619116649856155	0.690441675071923
36	0.823653422023686	0.352693155952629	0.176346577976314
37	0.804686212988267	0.390627574023465	0.195313787011733
38	0.788848589022081	0.422302821955838	0.211151410977919
39	0.824197210561024	0.351605578877952	0.175802789438976
40	0.809949988380736	0.380100023238529	0.190050011619264
41	0.782898081181445	0.43420383763711	0.217101918818555
42	0.76020268969488	0.479594620610241	0.23979731030512
43	0.775381463332244	0.449237073335513	0.224618536667756
44	0.735836639132052	0.528326721735895	0.264163360867948
45	0.702563558898493	0.594872882203014	0.297436441101507
46	0.870830221347815	0.258339557304369	0.129169778652185
47	0.880849363037645	0.23830127392471	0.119150636962355
48	0.858433089792942	0.283133820414116	0.141566910207058
49	0.843518785388467	0.312962429223065	0.156481214611533
50	0.836453036249857	0.327093927500285	0.163546963750143
51	0.807005484542481	0.385989030915038	0.192994515457519
52	0.77432687832383	0.451346243352341	0.22567312167617
53	0.790674926268459	0.418650147463082	0.209325073731541
54	0.763578384613518	0.472843230772964	0.236421615386482
55	0.785938316604312	0.428123366791376	0.214061683395688
56	0.776687144477278	0.446625711045444	0.223312855522722
57	0.740452585904065	0.519094828191871	0.259547414095935
58	0.728890220167366	0.542219559665267	0.271109779832634
59	0.693443830834739	0.613112338330523	0.306556169165261
60	0.702203320459039	0.595593359081921	0.297796679540961
61	0.667166983928165	0.66566603214367	0.332833016071835
62	0.626111682198074	0.747776635603852	0.373888317801926
63	0.58591269160305	0.828174616793901	0.41408730839695
64	0.543346292962134	0.913307414075731	0.456653707037866
65	0.505240189820032	0.989519620359935	0.494759810179968
66	0.481500610629971	0.963001221259942	0.518499389370029
67	0.477240605696926	0.954481211393851	0.522759394303074
68	0.600768188886643	0.798463622226714	0.399231811113357
69	0.732213376478992	0.535573247042016	0.267786623521008
70	0.699003217243509	0.601993565512981	0.300996782756491
71	0.804158753871595	0.39168249225681	0.195841246128405
72	0.774543717632847	0.450912564734307	0.225456282367153
73	0.770316826515384	0.459366346969233	0.229683173484616
74	0.748092345157411	0.503815309685179	0.25190765484259
75	0.710997413595632	0.578005172808737	0.289002586404368
76	0.766360451767016	0.467279096465969	0.233639548232984
77	0.730673420432182	0.538653159135636	0.269326579567818
78	0.710099717661241	0.579800564677517	0.289900282338759
79	0.714882981048365	0.57023403790327	0.285117018951635
80	0.675681759825132	0.648636480349736	0.324318240174868
81	0.639293548810225	0.72141290237955	0.360706451189775
82	0.780907592699777	0.438184814600446	0.219092407300223
83	0.746029616679344	0.507940766641313	0.253970383320656
84	0.719443589461705	0.56111282107659	0.280556410538295
85	0.679637498281659	0.640725003436682	0.320362501718341
86	0.667007690648342	0.665984618703315	0.332992309351658
87	0.624499117409817	0.751001765180365	0.375500882590183
88	0.582921059938542	0.834157880122916	0.417078940061458
89	0.556291641992313	0.887416716015374	0.443708358007687
90	0.522822469341873	0.954355061316253	0.477177530658127
91	0.514490591112716	0.971018817774567	0.485509408887284
92	0.471397719437036	0.942795438874072	0.528602280562964
93	0.429144449680797	0.858288899361593	0.570855550319203
94	0.384695242209771	0.769390484419542	0.615304757790229
95	0.405701590341569	0.811403180683139	0.594298409658431
96	0.368585011008592	0.737170022017185	0.631414988991408
97	0.327275272401177	0.654550544802355	0.672724727598823
98	0.322446760366099	0.644893520732199	0.677553239633901
99	0.280925080377452	0.561850160754903	0.719074919622549
100	0.246073658471355	0.492147316942709	0.753926341528645
101	0.22477650300379	0.449553006007581	0.77522349699621
102	0.207101922517808	0.414203845035616	0.792898077482192
103	0.254636297522027	0.509272595044053	0.745363702477973
104	0.217677483317841	0.435354966635683	0.782322516682159
105	0.213933558745873	0.427867117491745	0.786066441254127
106	0.225037073020149	0.450074146040298	0.774962926979851
107	0.20335543142485	0.4067108628497	0.79664456857515
108	0.181884409319567	0.363768818639135	0.818115590680432
109	0.17550966358474	0.351019327169481	0.82449033641526
110	0.167997997813996	0.335995995627993	0.832002002186004
111	0.158531864049594	0.317063728099188	0.841468135950406
112	0.138767115186741	0.277534230373481	0.861232884813259
113	0.186205433739751	0.372410867479502	0.813794566260249
114	0.162966239806416	0.325932479612832	0.837033760193584
115	0.183207973952819	0.366415947905637	0.816792026047181
116	0.185888594511016	0.371777189022031	0.814111405488984
117	0.16187209598614	0.32374419197228	0.83812790401386
118	0.159735249072618	0.319470498145235	0.840264750927382
119	0.149202803350535	0.298405606701069	0.850797196649465
120	0.153718894365268	0.307437788730535	0.846281105634732
121	0.130078845622092	0.260157691244184	0.869921154377908
122	0.114102112895761	0.228204225791522	0.885897887104239
123	0.11296872111018	0.22593744222036	0.88703127888982
124	0.0900781233730664	0.180156246746133	0.909921876626934
125	0.0710260291191917	0.142052058238383	0.928973970880808
126	0.0542068015833608	0.108413603166722	0.945793198416639
127	0.0404715897155535	0.080943179431107	0.959528410284446
128	0.0428157085357889	0.0856314170715779	0.957184291464211
129	0.0407607294083141	0.0815214588166283	0.959239270591686
130	0.0408867095505914	0.0817734191011828	0.959113290449409
131	0.0449242073017292	0.0898484146034585	0.955075792698271
132	0.049597574361123	0.0991951487222461	0.950402425638877
133	0.101823902412093	0.203647804824185	0.898176097587907
134	0.101973621430226	0.203947242860453	0.898026378569774
135	0.080287831405518	0.160575662811036	0.919712168594482
136	0.0596023660219705	0.119204732043941	0.94039763397803
137	0.0499649885416833	0.0999299770833666	0.950035011458317
138	0.0486984125039696	0.0973968250079392	0.95130158749603
139	0.043269019353792	0.086538038707584	0.956730980646208
140	0.0298798446678801	0.0597596893357603	0.97012015533212
141	0.399383787692847	0.798767575385694	0.600616212307153
142	0.396985730585758	0.793971461171516	0.603014269414242
143	0.355580632041936	0.711161264083873	0.644419367958064
144	0.325351603841235	0.650703207682471	0.674648396158765
145	0.28306253363319	0.566125067266379	0.71693746636681
146	0.264358854038081	0.528717708076162	0.735641145961919
147	0.402807113143949	0.805614226287898	0.597192886856051
148	0.734333227141066	0.531333545717868	0.265666772858934
149	0.69094244418744	0.618115111625119	0.30905755581256
150	0.563459322401931	0.873081355196138	0.436540677598069
151	0.78909692629115	0.4218061474177	0.21090307370885
152	0.838267510606032	0.323464978787936	0.161732489393968

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	10	0.0699300699300699	OK