Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 23.5546 + 0.429002Separate[t] + 0.112478Learning[t] -0.0592071Software[t] + 0.0111176Happiness[t] -0.041336Depression[t] -0.0530615Sport1[t] + 0.119664Sport2[t] -0.585108Month[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)	23.5546	4.56667	5.158	5.01828e-07	2.50914e-07
Separate	0.429002	0.0576799	7.438	1.56186e-12	7.80928e-13
Learning	0.112478	0.11239	1.001	0.317879	0.15894
Software	-0.0592071	0.114889	-0.5153	0.606759	0.30338
Happiness	0.0111176	0.104402	0.1065	0.915279	0.45764
Depression	-0.041336	0.076324	-0.5416	0.588577	0.294288
Sport1	-0.0530615	0.0679066	-0.7814	0.435298	0.217649
Sport2	0.119664	0.100666	1.189	0.235653	0.117827
Month	-0.585108	0.288124	-2.031	0.0433179	0.021659

Multiple Linear Regression - Regression Statistics
Multiple R	0.493526
R-squared	0.243568
Adjusted R-squared	0.219837
F-TEST (value)	10.2636
F-TEST (DF numerator)	8
F-TEST (DF denominator)	255
p-value	1.96565e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.35331
Sum Squared Residuals	2867.4

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	36.019	4.981
2	39	34.6092	4.3908
3	30	35.6201	-5.62005
4	31	34.7661	-3.76606
5	34	35.7484	-1.74836
6	35	32.7893	2.21072
7	39	33.8758	5.12419
8	34	35.9105	-1.9105
9	36	35.3796	0.620402
10	37	36.9659	0.0340998
11	38	34.2425	3.75746
12	36	34.928	1.07204
13	38	35.3547	2.64528
14	39	36.4218	2.5782
15	33	36.6983	-3.69828
16	32	34.2296	-2.22962
17	36	34.094	1.90604
18	38	37.6565	0.343516
19	39	37.2166	1.78344
20	32	34.0297	-2.02973
21	32	34.8056	-2.80561
22	31	33.8774	-2.87743
23	39	36.7013	2.29874
24	37	37.1789	-0.178869
25	39	34.6118	4.38817
26	41	34.2664	6.73359
27	36	35.3473	0.652702
28	33	36.1595	-3.15951
29	33	34.369	-1.36896
30	34	34.7233	-0.723295
31	31	33.9888	-2.98881
32	27	33.5008	-6.50081
33	37	33.7241	3.27591
34	34	36.9676	-2.96758
35	34	32.7405	1.25953
36	32	34.501	-2.50103
37	29	32.5376	-3.5376
38	36	34.3588	1.64122
39	29	34.0427	-5.04273
40	35	34.749	0.250956
41	37	34.4773	2.5227
42	34	34.1946	-0.194641
43	38	34.3089	3.69111
44	35	33.9334	1.06663
45	38	32.36	5.64002
46	37	34.5937	2.40626
47	38	37.316	0.684039
48	33	35.1475	-2.14755
49	36	36.4073	-0.407331
50	38	33.976	4.02404
51	32	36.7707	-4.77072
52	32	32.9496	-0.94965
53	32	33.5478	-1.54784
54	34	37.3901	-3.39006
55	32	33.3767	-1.37666
56	37	35.682	1.31797
57	39	35.0627	3.93734
58	29	35.2293	-6.22933
59	37	35.7607	1.23933
60	35	35.0269	-0.0268506
61	30	31.5151	-1.51514
62	38	34.9115	3.08854
63	34	35.3996	-1.39962
64	31	34.7544	-3.7544
65	34	33.3898	0.6102
66	35	35.9941	-0.994083
67	36	34.8577	1.14234
68	30	31.33	-1.32997
69	39	36.3366	2.66343
70	35	35.6184	-0.618421
71	38	35.127	2.87295
72	31	35.5704	-4.5704
73	34	36.7055	-2.70555
74	38	37.367	0.633012
75	34	31.5916	2.40844
76	39	32.9194	6.08056
77	37	35.6894	1.31061
78	34	33.1967	0.803301
79	28	32.9221	-4.92214
80	37	31.2318	5.76821
81	33	35.2615	-2.26147
82	35	36.078	-1.07797
83	37	33.7911	3.20886
84	32	34.441	-2.44096
85	33	33.3669	-0.366867
86	38	36.5111	1.48895
87	33	34.403	-1.40297
88	29	33.1288	-4.12879
89	33	33.4369	-0.436908
90	31	35.2471	-4.24711
91	36	33.0636	2.93636
92	35	37.4299	-2.42993
93	32	31.6207	0.379347
94	29	32.3324	-3.33238
95	39	35.4576	3.5424
96	37	34.7048	2.29515
97	35	33.336	1.66398
98	37	34.5589	2.4411
99	32	35.3554	-3.35545
100	38	35.2461	2.75385
101	37	34.8503	2.14966
102	36	36.3322	-0.332156
103	32	31.9429	0.057148
104	33	36.5207	-3.52067
105	40	32.796	7.20401
106	38	35.2349	2.76509
107	41	36.4073	4.59271
108	36	34.4416	1.55835
109	43	36.9251	6.07494
110	30	34.6791	-4.67907
111	31	33.6722	-2.67221
112	32	38.1554	-6.15535
113	32	31.5071	0.492941
114	37	34.3428	2.65717
115	37	34.2299	2.77012
116	33	36.3291	-3.3291
117	34	37.293	-3.29297
118	33	34.6778	-1.67775
119	38	35.5783	2.4217
120	33	34.9845	-1.98445
121	31	31.3653	-0.365299
122	38	36.6377	1.36226
123	37	36.4039	0.596086
124	36	33.1435	2.85652
125	31	33.8943	-2.89427
126	39	34.1909	4.80906
127	44	36.8097	7.19029
128	33	36.1026	-3.10261
129	35	33.6332	1.36681
130	32	34.0165	-2.01648
131	28	32.4629	-4.46289
132	40	36.0748	3.92524
133	27	32.1563	-5.15628
134	37	36.1185	0.881512
135	32	32.5524	-0.552361
136	28	28.326	-0.326028
137	34	35.0144	-1.0144
138	30	34.1476	-4.14757
139	35	34.2683	0.731681
140	31	34.3164	-3.31642
141	32	34.4525	-2.45253
142	30	35.9757	-5.97573
143	30	35.1811	-5.18108
144	31	29.8084	1.19157
145	40	33.2359	6.76411
146	32	31.8148	0.185175
147	36	34.8477	1.15225
148	32	33.2953	-1.29535
149	35	33.3066	1.69338
150	38	36.6587	1.3413
151	42	35.3682	6.6318
152	34	36.2171	-2.21706
153	35	36.9611	-1.96113
154	38	34.7747	3.22533
155	33	33.0182	-0.0182108
156	36	33.0636	2.93636
157	32	35.7448	-3.74478
158	33	36.1026	-3.10261
159	34	33.9981	0.00188586
160	32	35.797	-3.79703
161	34	35.4626	-1.46256
162	27	29.9052	-2.90517
163	31	30.0517	0.948332
164	38	33.342	4.65802
165	34	35.6368	-1.6368
166	24	30.8947	-6.89471
167	30	33.4635	-3.46354
168	26	29.2636	-3.26356
169	34	35.243	-1.24302
170	27	34.4694	-7.46935
171	37	31.9169	5.0831
172	36	35.2072	0.792754
173	41	33.9805	7.01946
174	29	28.9407	0.0592995
175	36	30.855	5.14502
176	32	34.0683	-2.06826
177	37	33.1276	3.87243
178	30	31.4396	-1.43965
179	31	32.5157	-1.51568
180	38	34.4512	3.54876
181	36	34.4361	1.56385
182	35	31.9941	3.00595
183	31	35.0744	-4.0744
184	38	33.0644	4.93564
185	22	30.902	-8.902
186	32	34.2433	-2.24329
187	36	33.7612	2.23877
188	39	32.6296	6.37037
189	28	30.2437	-2.24366
190	32	34.188	-2.18805
191	32	32.3115	-0.311547
192	38	36.3955	1.6045
193	32	33.3589	-1.35892
194	35	35.2171	-0.217144
195	32	32.7494	-0.749425
196	37	35.5854	1.41458
197	34	32.6065	1.39351
198	33	35.3421	-2.34205
199	33	32.7586	0.241423
200	26	32.7222	-6.72224
201	30	32.0789	-2.07891
202	24	31.7671	-7.7671
203	34	31.9024	2.09759
204	34	32.3744	1.62557
205	33	33.9551	-0.955144
206	34	34.6861	-0.68606
207	35	35.8707	-0.870721
208	35	34.1598	0.840165
209	36	33.0374	2.96264
210	34	33.5784	0.421582
211	34	32.7027	1.29734
212	41	38.2419	2.75808
213	32	36.1091	-4.10909
214	30	33.3054	-3.30543
215	35	33.8736	1.12637
216	28	29.9127	-1.91266
217	33	34.8409	-1.84089
218	39	34.1651	4.8349
219	36	33.3727	2.6273
220	36	36.2857	-0.285679
221	35	33.1253	1.8747
222	38	33.8589	4.14107
223	33	32.6764	0.323629
224	31	32.9028	-1.90283
225	34	32.0238	1.97623
226	32	34.2373	-2.23729
227	31	32.6692	-1.66919
228	33	33.1093	-0.109349
229	34	32.6419	1.35813
230	34	33.9665	0.0335138
231	34	32.1332	1.8668
232	33	35.1019	-2.10194
233	32	34.1739	-2.17392
234	41	33.5971	7.40293
235	34	32.9672	1.03278
236	36	32.0375	3.96254
237	37	31.4643	5.53568
238	36	30.3562	5.64385
239	29	32.4882	-3.4882
240	37	31.7698	5.23019
241	27	33.1153	-6.11534
242	35	33.3918	1.60823
243	28	30.6603	-2.66029
244	35	33.1389	1.86106
245	37	33.0917	3.90826
246	29	33.6697	-4.66974
247	32	34.2371	-2.23713
248	36	31.7788	4.22118
249	19	27.6244	-8.62441
250	21	26.765	-5.76498
251	31	33.4269	-2.42689
252	33	32.484	0.516008
253	36	33.8866	2.11339
254	33	33.2848	-0.284831
255	37	33.1208	3.87917
256	34	33.3027	0.697347
257	35	34.4786	0.52145
258	31	32.8002	-1.80023
259	37	33.4132	3.5868
260	35	31.8596	3.14037
261	27	31.8352	-4.83523
262	34	34.916	-0.915996
263	40	33.9308	6.06923
264	29	32.873	-3.873

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.559936	0.880127	0.440064
13	0.696215	0.60757	0.303785
14	0.679883	0.640234	0.320117
15	0.578169	0.843663	0.421831
16	0.604	0.792	0.396
17	0.660301	0.679398	0.339699
18	0.656108	0.687783	0.343892
19	0.567901	0.864198	0.432099
20	0.594704	0.810593	0.405296
21	0.651147	0.697707	0.348853
22	0.620613	0.758774	0.379387
23	0.606219	0.787563	0.393781
24	0.539047	0.921907	0.460953
25	0.587987	0.824027	0.412013
26	0.746417	0.507166	0.253583
27	0.719455	0.561089	0.280545
28	0.676336	0.647328	0.323664
29	0.666393	0.667214	0.333607
30	0.605512	0.788975	0.394488
31	0.596261	0.807479	0.403739
32	0.736306	0.527387	0.263694
33	0.723628	0.552744	0.276372
34	0.686101	0.627797	0.313899
35	0.633096	0.733809	0.366904
36	0.581208	0.837584	0.418792
37	0.541667	0.916666	0.458333
38	0.50497	0.99006	0.49503
39	0.622253	0.755494	0.377747
40	0.569416	0.861168	0.430584
41	0.533134	0.933733	0.466866
42	0.479632	0.959265	0.520368
43	0.437798	0.875596	0.562202
44	0.38984	0.779681	0.61016
45	0.45776	0.915521	0.54224
46	0.46453	0.929061	0.53547
47	0.433998	0.867996	0.566002
48	0.403917	0.807834	0.596083
49	0.357797	0.715593	0.642203
50	0.366579	0.733157	0.633421
51	0.414238	0.828476	0.585762
52	0.377933	0.755865	0.622067
53	0.337882	0.675764	0.662118
54	0.304428	0.608856	0.695572
55	0.266737	0.533473	0.733263
56	0.250804	0.501608	0.749196
57	0.262121	0.524242	0.737879
58	0.378759	0.757519	0.621241
59	0.340315	0.68063	0.659685
60	0.299924	0.599849	0.700076
61	0.2703	0.5406	0.7297
62	0.252661	0.505322	0.747339
63	0.226468	0.452935	0.773532
64	0.234442	0.468883	0.765558
65	0.202377	0.404753	0.797623
66	0.173423	0.346846	0.826577
67	0.151854	0.303708	0.848146
68	0.152927	0.305854	0.847073
69	0.168786	0.337571	0.831214
70	0.144268	0.288537	0.855732
71	0.153776	0.307552	0.846224
72	0.179376	0.358753	0.820624
73	0.170989	0.341977	0.829011
74	0.146506	0.293012	0.853494
75	0.129624	0.259248	0.870376
76	0.172359	0.344718	0.827641
77	0.149762	0.299525	0.850238
78	0.12762	0.255241	0.87238
79	0.161437	0.322873	0.838563
80	0.18688	0.373759	0.81312
81	0.177702	0.355404	0.822298
82	0.155343	0.310685	0.844657
83	0.14836	0.296719	0.85164
84	0.140965	0.28193	0.859035
85	0.1226	0.2452	0.8774
86	0.109972	0.219944	0.890028
87	0.0971915	0.194383	0.902808
88	0.112491	0.224981	0.887509
89	0.0949432	0.189886	0.905057
90	0.0983609	0.196722	0.901639
91	0.0925494	0.185099	0.907451
92	0.0825618	0.165124	0.917438
93	0.0693346	0.138669	0.930665
94	0.0693932	0.138786	0.930607
95	0.0705711	0.141142	0.929429
96	0.0658417	0.131683	0.934158
97	0.0563377	0.112675	0.943662
98	0.0507454	0.101491	0.949255
99	0.0497453	0.0994906	0.950255
100	0.0466915	0.093383	0.953308
101	0.0420435	0.0840871	0.957956
102	0.0348468	0.0696935	0.965153
103	0.028393	0.056786	0.971607
104	0.0282883	0.0565767	0.971712
105	0.0655961	0.131192	0.934404
106	0.0617334	0.123467	0.938267
107	0.0755648	0.15113	0.924435
108	0.0653535	0.130707	0.934646
109	0.103675	0.207351	0.896325
110	0.120559	0.241119	0.879441
111	0.115718	0.231437	0.884282
112	0.152136	0.304272	0.847864
113	0.140687	0.281374	0.859313
114	0.136576	0.273152	0.863424
115	0.130164	0.260329	0.869836
116	0.127674	0.255348	0.872326
117	0.124522	0.249045	0.875478
118	0.109775	0.219551	0.890225
119	0.103585	0.207169	0.896415
120	0.0930071	0.186014	0.906993
121	0.0811492	0.162298	0.918851
122	0.0741534	0.148307	0.925847
123	0.0634473	0.126895	0.936553
124	0.060552	0.121104	0.939448
125	0.057222	0.114444	0.942778
126	0.0705488	0.141098	0.929451
127	0.126805	0.253611	0.873195
128	0.12407	0.24814	0.87593
129	0.110434	0.220869	0.889566
130	0.101726	0.203452	0.898274
131	0.110451	0.220902	0.889549
132	0.118064	0.236128	0.881936
133	0.142117	0.284233	0.857883
134	0.125507	0.251014	0.874493
135	0.108441	0.216881	0.891559
136	0.094306	0.188612	0.905694
137	0.080999	0.161998	0.919001
138	0.0894678	0.178936	0.910532
139	0.0764844	0.152969	0.923516
140	0.0763898	0.15278	0.92361
141	0.0740265	0.148053	0.925974
142	0.105833	0.211665	0.894167
143	0.131645	0.263289	0.868355
144	0.119458	0.238915	0.880542
145	0.195336	0.390671	0.804664
146	0.176342	0.352685	0.823658
147	0.159176	0.318352	0.840824
148	0.140747	0.281494	0.859253
149	0.127309	0.254617	0.872691
150	0.113094	0.226187	0.886906
151	0.178372	0.356745	0.821628
152	0.165458	0.330916	0.834542
153	0.150935	0.30187	0.849065
154	0.165159	0.330319	0.834841
155	0.145171	0.290341	0.854829
156	0.159364	0.318728	0.840636
157	0.153108	0.306216	0.846892
158	0.140895	0.281789	0.859105
159	0.135833	0.271666	0.864167
160	0.126158	0.252316	0.873842
161	0.108225	0.216449	0.891775
162	0.100419	0.200838	0.899581
163	0.0920918	0.184184	0.907908
164	0.121384	0.242767	0.878616
165	0.108858	0.217715	0.891142
166	0.180691	0.361382	0.819309
167	0.176003	0.352006	0.823997
168	0.162079	0.324158	0.837921
169	0.145334	0.290668	0.854666
170	0.235386	0.470773	0.764614
171	0.278092	0.556184	0.721908
172	0.249272	0.498545	0.750728
173	0.36228	0.72456	0.63772
174	0.32768	0.655359	0.67232
175	0.399809	0.799617	0.600191
176	0.372127	0.744253	0.627873
177	0.378352	0.756705	0.621648
178	0.345616	0.691232	0.654384
179	0.31521	0.630421	0.68479
180	0.314035	0.628069	0.685965
181	0.283617	0.567235	0.716383
182	0.27978	0.559559	0.72022
183	0.294951	0.589901	0.705049
184	0.364864	0.729728	0.635136
185	0.602212	0.795576	0.397788
186	0.582255	0.83549	0.417745
187	0.57877	0.84246	0.42123
188	0.728882	0.542236	0.271118
189	0.705459	0.589081	0.294541
190	0.709896	0.580208	0.290104
191	0.674406	0.651187	0.325594
192	0.645165	0.70967	0.354835
193	0.610596	0.778808	0.389404
194	0.57655	0.846899	0.42345
195	0.536748	0.926504	0.463252
196	0.498576	0.997152	0.501424
197	0.491313	0.982626	0.508687
198	0.46249	0.92498	0.53751
199	0.420991	0.841982	0.579009
200	0.492605	0.985209	0.507395
201	0.45808	0.91616	0.54192
202	0.607475	0.785051	0.392525
203	0.587706	0.824588	0.412294
204	0.551671	0.896658	0.448329
205	0.508621	0.982758	0.491379
206	0.467059	0.934117	0.532941
207	0.426659	0.853319	0.573341
208	0.38461	0.76922	0.61539
209	0.359396	0.718791	0.640604
210	0.327142	0.654283	0.672858
211	0.290813	0.581626	0.709187
212	0.265378	0.530755	0.734622
213	0.313306	0.626613	0.686694
214	0.291087	0.582175	0.708913
215	0.252796	0.505592	0.747204
216	0.2183	0.4366	0.7817
217	0.190003	0.380006	0.809997
218	0.220313	0.440626	0.779687
219	0.196562	0.393124	0.803438
220	0.176967	0.353933	0.823033
221	0.151404	0.302808	0.848596
222	0.164435	0.32887	0.835565
223	0.134387	0.268774	0.865613
224	0.113319	0.226639	0.886681
225	0.169986	0.339972	0.830014
226	0.154423	0.308845	0.845577
227	0.133856	0.267712	0.866144
228	0.141379	0.282758	0.858621
229	0.113746	0.227492	0.886254
230	0.0887997	0.177599	0.9112
231	0.0884334	0.176867	0.911567
232	0.209466	0.418931	0.790534
233	0.171525	0.34305	0.828475
234	0.281428	0.562855	0.718572
235	0.236175	0.47235	0.763825
236	0.240618	0.481236	0.759382
237	0.206507	0.413015	0.793493
238	0.288468	0.576935	0.711532
239	0.237071	0.474142	0.762929
240	0.39622	0.79244	0.60378
241	0.464806	0.929612	0.535194
242	0.387204	0.774408	0.612796
243	0.314285	0.62857	0.685715
244	0.30119	0.60238	0.69881
245	0.32309	0.64618	0.67691
246	0.534208	0.931584	0.465792
247	0.526632	0.946735	0.473368
248	0.457651	0.915302	0.542349
249	0.672079	0.655842	0.327921
250	0.600771	0.798457	0.399229
251	0.56118	0.87764	0.43882
252	0.663479	0.673042	0.336521

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	6	0.0248963	OK