Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 17.6545 + 0.439228Separate[t] + 0.150292Learning[t] -0.0369035Software[t] + 0.049535Happiness[t] -0.0613355Depression[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)	17.6545	2.95858	5.967	7.93269e-09	3.96634e-09
Separate	0.439228	0.0579184	7.584	6.0858e-13	3.0429e-13
Learning	0.150292	0.111597	1.347	0.179247	0.0896236
Software	-0.0369035	0.115116	-0.3206	0.748791	0.374395
Happiness	0.049535	0.103748	0.4775	0.633444	0.316722
Depression	-0.0613355	0.0743681	-0.8248	0.410272	0.205136

Multiple Linear Regression - Regression Statistics
Multiple R	0.472622
R-squared	0.223371
Adjusted R-squared	0.20832
F-TEST (value)	14.841
F-TEST (DF numerator)	5
F-TEST (DF denominator)	258
p-value	8.45102e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.37797
Sum Squared Residuals	2943.96

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.8136	5.18643
2	39	33.9255	5.07454
3	30	35.0157	-5.01565
4	31	34.0404	-3.04037
5	34	35.0348	-1.03478
6	35	32.1325	2.86753
7	39	33.0274	5.97263
8	34	35.2232	-1.22323
9	36	34.8184	1.18161
10	37	36.2131	0.786933
11	38	33.5349	4.46507
12	36	35.0006	0.999447
13	38	34.5646	3.43538
14	39	36.2778	2.72225
15	33	36.1856	-3.18561
16	32	33.7953	-1.79535
17	36	33.4299	2.57008
18	38	37.0756	0.924442
19	39	36.7246	2.27539
20	32	33.6668	-1.66681
21	32	34.4567	-2.45669
22	31	32.9186	-1.91858
23	39	36.6784	2.32158
24	37	36.5188	0.48116
25	39	33.9893	5.01069
26	41	33.6788	7.3212
27	36	35.181	0.819023
28	33	35.4171	-2.41712
29	33	33.9952	-0.995172
30	34	33.6316	0.36841
31	31	33.3226	-2.32264
32	27	32.942	-5.94198
33	37	33.2344	3.76565
34	34	35.9361	-1.93609
35	34	32.3887	1.6113
36	32	33.6955	-1.69548
37	29	31.6605	-2.66045
38	36	33.8173	2.18274
39	29	33.5349	-4.53493
40	35	34.2153	0.784749
41	37	33.9364	3.06357
42	34	33.7441	0.255877
43	38	34.464	3.53605
44	35	33.6198	1.38021
45	38	31.7563	6.24374
46	37	33.9854	3.01464
47	38	36.5997	1.40027
48	33	34.505	-1.50502
49	36	36.266	-0.265951
50	38	33.3403	4.6597
51	32	36.4124	-4.41238
52	32	32.4012	-0.401175
53	32	32.9505	-0.950522
54	34	36.0058	-2.0058
55	32	32.7976	-0.797624
56	37	34.7638	2.2362
57	39	34.5453	4.45473
58	29	34.7411	-5.74108
59	37	35.2962	1.70379
60	35	34.2983	0.701733
61	30	30.6676	-0.667622
62	38	34.458	3.542
63	34	34.7244	-0.724353
64	31	34.5604	-3.56041
65	34	33.1781	0.821949
66	35	35.8018	-0.801805
67	36	34.7183	1.28174
68	30	31.6714	-1.67136
69	39	36.5299	2.47006
70	35	35.7521	-0.752085
71	38	34.5705	3.42948
72	31	35.9158	-4.91583
73	34	36.9187	-2.91865
74	38	37.9811	0.0188829
75	34	31.4447	2.55526
76	39	32.4832	6.51679
77	37	35.8756	1.12441
78	34	32.8705	1.12946
79	28	32.7272	-4.72717
80	37	31.5674	5.43259
81	33	35.4969	-2.49686
82	35	36.0588	-1.05876
83	37	34.0171	2.98291
84	32	34.4437	-2.44368
85	33	33.2023	-0.202323
86	38	36.502	1.498
87	33	34.5075	-1.50754
88	29	33.3955	-4.39554
89	33	32.9579	0.0420835
90	31	34.9828	-3.9828
91	36	33.4351	2.56488
92	35	37.5703	-2.57033
93	32	31.5379	0.462131
94	29	32.2195	-3.21954
95	39	35.6202	3.37979
96	37	34.5654	2.43455
97	35	33.3619	1.6381
98	37	34.7175	2.28252
99	32	35.3314	-3.33142
100	38	35.5835	2.41654
101	37	34.6393	2.36074
102	36	36.4147	-0.414749
103	32	31.6715	0.328491
104	33	36.5448	-3.54477
105	40	32.5012	7.49882
106	38	35.2575	2.74254
107	41	36.5079	4.49213
108	36	34.6015	1.39848
109	43	36.6705	6.32946
110	30	34.4344	-4.4344
111	31	33.6619	-2.66189
112	32	37.7811	-5.78113
113	32	33.4703	-1.47033
114	37	34.1783	2.82169
115	37	34.1145	2.8855
116	33	36.6827	-3.68275
117	34	36.9286	-2.9286
118	33	34.7168	-1.7168
119	38	35.202	2.79801
120	33	35.1282	-2.12817
121	31	31.2734	-0.273365
122	38	36.3637	1.63633
123	37	36.4855	0.514481
124	36	33.1135	2.88647
125	31	33.9694	-2.9694
126	39	33.9465	5.05346
127	44	37.1621	6.83785
128	33	35.6554	-2.65542
129	35	33.4922	1.50776
130	32	34.1539	-2.15392
131	28	32.0259	-4.02587
132	40	36.145	3.85496
133	27	32.0519	-5.05189
134	37	36.0134	0.9866
135	32	32.1375	-0.137502
136	28	28.0733	-0.073337
137	34	34.7107	-0.710705
138	30	33.8752	-3.87516
139	35	34.1649	0.835148
140	31	34.2565	-3.25648
141	32	34.8274	-2.82736
142	30	35.762	-5.76204
143	30	34.9863	-4.98635
144	31	29.7625	1.23754
145	40	32.5961	7.40388
146	32	31.7957	0.20431
147	36	34.7252	1.27482
148	32	33.1521	-1.15212
149	35	32.6119	2.38811
150	38	36.0855	1.91449
151	42	35.2818	6.71819
152	34	36.6582	-2.65824
153	35	36.826	-1.82603
154	38	33.6775	4.32246
155	33	32.0182	0.981835
156	36	33.4351	2.56488
157	32	35.4731	-3.47309
158	33	35.6554	-2.65542
159	34	33.8005	0.199545
160	32	35.3438	-3.34381
161	34	34.7879	-0.787853
162	27	29.6825	-2.68248
163	31	30.4175	0.582515
164	38	33.7532	4.24682
165	34	36.061	-2.06104
166	24	31.1732	-7.17319
167	30	33.8046	-3.80463
168	26	29.5813	-3.58128
169	34	35.3206	-1.32056
170	27	35.2095	-8.20953
171	37	32.2077	4.79228
172	36	35.9243	0.0757091
173	41	34.1717	6.82827
174	29	29.3307	-0.330742
175	36	31.3087	4.69127
176	32	34.9678	-2.96785
177	37	33.1217	3.87826
178	30	31.7931	-1.79308
179	31	33.1848	-2.18482
180	38	35.0635	2.93651
181	36	35.4473	0.552672
182	35	32.3551	2.64495
183	31	35.837	-4.83703
184	38	33.6015	4.39854
185	22	30.8302	-8.83023
186	32	34.9071	-2.90711
187	36	34.5721	1.42794
188	39	32.8227	6.17726
189	28	31.133	-3.13302
190	32	34.1922	-2.19223
191	32	34.8755	-2.87547
192	38	37.2656	0.734424
193	32	33.6648	-1.6648
194	35	35.4682	-0.468178
195	32	33.1789	-1.17887
196	37	36.0151	0.984913
197	34	32.8712	1.12879
198	33	35.6412	-2.64121
199	33	33.1519	-0.151876
200	26	33.5182	-7.51821
201	30	32.1963	-2.19627
202	24	32.5734	-8.57338
203	34	32.759	1.24096
204	34	32.8557	1.14429
205	33	34.6157	-1.61573
206	34	35.2608	-1.2608
207	35	35.8621	-0.862124
208	35	35.3011	-0.301056
209	36	33.2184	2.78155
210	34	34.0909	-0.0908929
211	34	32.9128	1.08721
212	41	38.4591	2.54095
213	32	36.0737	-4.07367
214	30	33.3669	-3.36693
215	35	34.4915	0.508518
216	28	30.3159	-2.3159
217	33	35.3439	-2.3439
218	39	34.2808	4.71924
219	36	33.7329	2.26706
220	36	36.4802	-0.480249
221	35	33.4688	1.53117
222	38	35.2583	2.74171
223	33	32.974	0.0260294
224	31	33.3722	-2.37216
225	34	34.2461	-0.246132
226	32	34.6268	-2.62682
227	31	33.7113	-2.71131
228	33	34.2186	-1.21859
229	34	32.4557	1.54434
230	34	34.2464	-0.246366
231	34	32.5212	1.47883
232	33	34.9435	-1.94349
233	32	34.9625	-2.9625
234	41	33.9389	7.06113
235	34	33.5351	0.464913
236	36	32.2409	3.75908
237	37	30.7628	6.23721
238	36	30.8712	5.12881
239	29	33.053	-4.05305
240	37	31.8848	5.11522
241	27	33.1991	-6.19913
242	35	33.6559	1.34406
243	28	30.9581	-2.95813
244	35	33.4944	1.50556
245	37	33.0402	3.95977
246	29	33.8539	-4.85392
247	32	34.5233	-2.52335
248	36	32.1633	3.83665
249	19	27.6552	-8.65519
250	21	27.5235	-6.52347
251	31	33.8675	-2.86746
252	33	32.5556	0.444368
253	36	34.1396	1.86041
254	33	33.6289	-0.62892
255	37	33.1352	3.8648
256	34	33.5216	0.478449
257	35	35.0255	-0.0255269
258	31	32.8604	-1.86042
259	37	33.9591	3.04091
260	35	31.3265	3.67355
261	27	32.6372	-5.63723
262	34	35.5625	-1.56252
263	40	33.8589	6.14105
264	29	33.4392	-4.43921

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.90706	0.185879	0.0929397
10	0.838141	0.323719	0.161859
11	0.750073	0.499855	0.249927
12	0.726001	0.547998	0.273999
13	0.780312	0.439376	0.219688
14	0.715102	0.569796	0.284898
15	0.710414	0.579173	0.289586
16	0.697392	0.605217	0.302608
17	0.618805	0.76239	0.381195
18	0.541618	0.916764	0.458382
19	0.503895	0.99221	0.496105
20	0.494053	0.988105	0.505947
21	0.515515	0.96897	0.484485
22	0.45848	0.91696	0.54152
23	0.425206	0.850413	0.574794
24	0.355941	0.711882	0.644059
25	0.387435	0.77487	0.612565
26	0.634012	0.731975	0.365988
27	0.573468	0.853064	0.426532
28	0.539551	0.920898	0.460449
29	0.500987	0.998026	0.499013
30	0.443885	0.887769	0.556115
31	0.444706	0.889412	0.555294
32	0.589684	0.820632	0.410316
33	0.577959	0.844083	0.422041
34	0.546487	0.907027	0.453513
35	0.496505	0.99301	0.503495
36	0.446955	0.89391	0.553045
37	0.400813	0.801627	0.599187
38	0.369427	0.738853	0.630573
39	0.480327	0.960653	0.519673
40	0.428287	0.856573	0.571713
41	0.397517	0.795034	0.602483
42	0.348407	0.696814	0.651593
43	0.313506	0.627012	0.686494
44	0.276677	0.553353	0.723323
45	0.340533	0.681067	0.659467
46	0.355224	0.710448	0.644776
47	0.319923	0.639846	0.680077
48	0.294875	0.589751	0.705125
49	0.254279	0.508558	0.745721
50	0.266168	0.532335	0.733832
51	0.30613	0.612261	0.69387
52	0.273106	0.546211	0.726894
53	0.237533	0.475066	0.762467
54	0.21412	0.428239	0.78588
55	0.182499	0.364997	0.817501
56	0.169261	0.338522	0.830739
57	0.182394	0.364789	0.817606
58	0.282266	0.564532	0.717734
59	0.253661	0.507323	0.746339
60	0.219979	0.439957	0.780021
61	0.19433	0.38866	0.80567
62	0.18876	0.377521	0.81124
63	0.164231	0.328462	0.835769
64	0.167487	0.334974	0.832513
65	0.14302	0.286039	0.85698
66	0.122603	0.245206	0.877397
67	0.103564	0.207127	0.896436
68	0.110737	0.221473	0.889263
69	0.110401	0.220802	0.889599
70	0.0931364	0.186273	0.906864
71	0.0981112	0.196222	0.901889
72	0.119787	0.239573	0.880213
73	0.114768	0.229535	0.885232
74	0.0960532	0.192106	0.903947
75	0.0837903	0.167581	0.91621
76	0.122001	0.244003	0.877999
77	0.104903	0.209806	0.895097
78	0.0886379	0.177276	0.911362
79	0.112729	0.225457	0.887271
80	0.128933	0.257866	0.871067
81	0.121945	0.24389	0.878055
82	0.105113	0.210226	0.894887
83	0.0994113	0.198823	0.900589
84	0.0944142	0.188828	0.905586
85	0.0815739	0.163148	0.918426
86	0.0721429	0.144286	0.927857
87	0.0635736	0.127147	0.936426
88	0.0793636	0.158727	0.920636
89	0.0660077	0.132015	0.933992
90	0.0697615	0.139523	0.930238
91	0.0635127	0.127025	0.936487
92	0.0565057	0.113011	0.943494
93	0.0471342	0.0942684	0.952866
94	0.0484013	0.0968025	0.951599
95	0.0479844	0.0959688	0.952016
96	0.0441902	0.0883804	0.95581
97	0.0375266	0.0750532	0.962473
98	0.0332491	0.0664981	0.966751
99	0.0332514	0.0665028	0.966749
100	0.0305175	0.061035	0.969482
101	0.0273707	0.0547414	0.972629
102	0.0225237	0.0450474	0.977476
103	0.0185925	0.037185	0.981407
104	0.0186684	0.0373367	0.981332
105	0.046167	0.092334	0.953833
106	0.0432858	0.0865717	0.956714
107	0.0536012	0.107202	0.946399
108	0.0458947	0.0917893	0.954105
109	0.075011	0.150022	0.924989
110	0.0886341	0.177268	0.911366
111	0.0850341	0.170068	0.914966
112	0.114846	0.229691	0.885154
113	0.101909	0.203819	0.898091
114	0.0977699	0.19554	0.90223
115	0.0942755	0.188551	0.905725
116	0.0942277	0.188455	0.905772
117	0.0899809	0.179962	0.910019
118	0.0786638	0.157328	0.921336
119	0.0748017	0.149603	0.925198
120	0.0669734	0.133947	0.933027
121	0.05854	0.11708	0.94146
122	0.0531807	0.106361	0.946819
123	0.0449736	0.0899472	0.955026
124	0.0431634	0.0863268	0.956837
125	0.0407927	0.0815854	0.959207
126	0.0523179	0.104636	0.947682
127	0.0953676	0.190735	0.904632
128	0.0913349	0.18267	0.908665
129	0.0804359	0.160872	0.919564
130	0.0742081	0.148416	0.925792
131	0.0813633	0.162727	0.918637
132	0.0874235	0.174847	0.912577
133	0.107995	0.215989	0.892005
134	0.0946666	0.189333	0.905333
135	0.081497	0.162994	0.918503
136	0.070787	0.141574	0.929213
137	0.0600174	0.120035	0.939983
138	0.0637786	0.127557	0.936221
139	0.0540454	0.108091	0.945955
140	0.0533215	0.106643	0.946678
141	0.0524147	0.104829	0.947585
142	0.0737239	0.147448	0.926276
143	0.0872798	0.17456	0.91272
144	0.0814431	0.162886	0.918557
145	0.148833	0.297667	0.851167
146	0.137127	0.274254	0.862873
147	0.121843	0.243686	0.878157
148	0.106959	0.213918	0.893041
149	0.098761	0.197522	0.901239
150	0.0878535	0.175707	0.912146
151	0.142215	0.28443	0.857785
152	0.133414	0.266827	0.866586
153	0.120395	0.240789	0.879605
154	0.132461	0.264922	0.867539
155	0.114887	0.229775	0.885113
156	0.113587	0.227173	0.886413
157	0.116457	0.232914	0.883543
158	0.108641	0.217282	0.891359
159	0.0949052	0.18981	0.905095
160	0.0991308	0.198262	0.900869
161	0.0853373	0.170675	0.914663
162	0.0804302	0.16086	0.91957
163	0.0700259	0.140052	0.929974
164	0.0864108	0.172822	0.913589
165	0.0782977	0.156595	0.921702
166	0.143247	0.286494	0.856753
167	0.143875	0.28775	0.856125
168	0.139885	0.27977	0.860115
169	0.126031	0.252063	0.873969
170	0.244702	0.489403	0.755298
171	0.277738	0.555475	0.722262
172	0.248117	0.496233	0.751883
173	0.340808	0.681617	0.659192
174	0.307319	0.614637	0.692681
175	0.362563	0.725126	0.637437
176	0.34809	0.69618	0.65191
177	0.356142	0.712283	0.643858
178	0.32874	0.65748	0.67126
179	0.303239	0.606478	0.696761
180	0.289118	0.578236	0.710882
181	0.260785	0.52157	0.739215
182	0.257702	0.515403	0.742298
183	0.269335	0.538669	0.730665
184	0.32198	0.643961	0.67802
185	0.573327	0.853346	0.426673
186	0.564117	0.871765	0.435883
187	0.551114	0.897772	0.448886
188	0.679138	0.641723	0.320862
189	0.666198	0.667605	0.333802
190	0.658911	0.682178	0.341089
191	0.651316	0.697369	0.348684
192	0.616881	0.766238	0.383119
193	0.583743	0.832513	0.416257
194	0.543501	0.912998	0.456499
195	0.50597	0.988061	0.49403
196	0.469584	0.939169	0.530416
197	0.452684	0.905369	0.547316
198	0.432814	0.865628	0.567186
199	0.392546	0.785091	0.607454
200	0.513083	0.973835	0.486917
201	0.478715	0.95743	0.521285
202	0.666221	0.667559	0.333779
203	0.630204	0.739592	0.369796
204	0.590754	0.818492	0.409246
205	0.551759	0.896482	0.448241
206	0.513064	0.973871	0.486936
207	0.469722	0.939444	0.530278
208	0.42598	0.85196	0.57402
209	0.399508	0.799017	0.600492
210	0.359498	0.718995	0.640502
211	0.320668	0.641336	0.679332
212	0.291184	0.582368	0.708816
213	0.336054	0.672108	0.663946
214	0.311122	0.622245	0.688878
215	0.271422	0.542843	0.728578
216	0.238727	0.477453	0.761273
217	0.210723	0.421446	0.789277
218	0.249592	0.499184	0.750408
219	0.22208	0.44416	0.77792
220	0.194294	0.388588	0.805706
221	0.165645	0.331291	0.834355
222	0.153283	0.306567	0.846717
223	0.125593	0.251186	0.874407
224	0.108032	0.216064	0.891968
225	0.088824	0.177648	0.911176
226	0.0958963	0.191793	0.904104
227	0.086768	0.173536	0.913232
228	0.0685112	0.137022	0.931489
229	0.0533976	0.106795	0.946602
230	0.0409734	0.0819468	0.959027
231	0.0384583	0.0769166	0.961542
232	0.0550611	0.110122	0.944939
233	0.0435724	0.0871449	0.956428
234	0.138602	0.277205	0.861398
235	0.111363	0.222727	0.888637
236	0.102984	0.205968	0.897016
237	0.0931114	0.186223	0.906889
238	0.227654	0.455308	0.772346
239	0.18863	0.37726	0.81137
240	0.291018	0.582037	0.708982
241	0.359524	0.719048	0.640476
242	0.295648	0.591296	0.704352
243	0.256502	0.513004	0.743498
244	0.208687	0.417374	0.791313
245	0.429131	0.858261	0.570869
246	0.706064	0.587873	0.293936
247	0.676233	0.647534	0.323767
248	0.649175	0.70165	0.350825
249	0.689872	0.620256	0.310128
250	0.629867	0.740266	0.370133
251	0.678255	0.64349	0.321745
252	0.792012	0.415975	0.207988
253	0.705474	0.589052	0.294526
254	0.909977	0.180045	0.0900226
255	0.824675	0.35065	0.175325

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	3	0.0121457	OK
10% type I error level	21	0.0850202	OK