Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 13.1438100253266 + 0.0807944030692845Software[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)	13.1438100253266	0.968925	13.5654	0	0
Software	0.0807944030692845	0.086051	0.9389	0.349193	0.174597

Multiple Linear Regression - Regression Statistics
Multiple R	0.0740235710364125
R-squared	0.0054794890689828
Adjusted R-squared	-0.00073626412433625
F-TEST (value)	0.881548687433818
F-TEST (DF numerator)	1
F-TEST (DF denominator)	160
p-value	0.349193073077933
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.33847846507792
Sum Squared Residuals	874.957045061311

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	14.1133428621581	-0.113342862158066
2	18	14.0325484590887	3.96745154091126
3	11	14.3557260713659	-3.35572607136588
4	12	13.6285764437423	-1.62857644374232
5	16	14.1941372652273	1.80586273477269
6	18	13.9517540560195	4.04824594398054
7	14	14.113342862158	-0.113342862158028
8	14	14.2749316682966	-0.274931668296597
9	15	14.113342862158	0.886657137841972
10	15	13.6285764437423	1.37142355625768
11	17	13.9517540560195	3.04824594398054
12	19	14.113342862158	4.88665713784197
13	10	14.113342862158	-4.11334286215803
14	16	14.0325484590887	1.96745154091126
15	18	14.3557260713659	3.64427392863412
16	14	14.113342862158	-0.113342862158028
17	14	13.9517540560195	0.0482459439805413
18	17	14.113342862158	2.88665713784197
19	14	14.0325484590887	-0.0325484590887432
20	16	14.113342862158	1.88665713784197
21	18	14.0325484590887	3.96745154091126
22	11	14.113342862158	-3.11334286215803
23	14	14.1941372652273	-0.194137265227312
24	12	14.0325484590887	-2.03254845908874
25	17	13.8709596529502	3.12904034704983
26	9	14.1941372652273	-5.19413726522731
27	16	13.9517540560195	2.04824594398054
28	14	14.2749316682966	-0.274931668296597
29	15	14.113342862158	0.886657137841972
30	11	13.9517540560195	-2.95175405601946
31	16	14.113342862158	1.88665713784197
32	13	13.7901652498809	-0.79016524988089
33	17	13.9517540560195	3.04824594398054
34	15	14.113342862158	0.886657137841972
35	14	14.113342862158	-0.113342862158028
36	16	13.7093708468116	2.29062915318839
37	9	13.6285764437423	-4.62857644374232
38	15	14.113342862158	0.886657137841972
39	17	13.9517540560195	3.04824594398054
40	13	13.9517540560195	-0.951754056019459
41	15	13.9517540560195	1.04824594398054
42	16	14.113342862158	1.88665713784197
43	16	14.3557260713659	1.64427392863412
44	12	13.9517540560195	-1.95175405601946
45	12	13.9517540560195	-1.95175405601946
46	11	14.113342862158	-3.11334286215803
47	15	14.1941372652273	0.805862734772688
48	15	14.0325484590887	0.967451540911257
49	17	14.0325484590887	2.96745154091126
50	13	14.113342862158	-1.11334286215803
51	16	14.2749316682966	1.7250683317034
52	14	13.9517540560195	0.0482459439805413
53	11	14.113342862158	-3.11334286215803
54	12	14.1941372652273	-2.19413726522731
55	12	13.547782040673	-1.54778204067304
56	15	13.6285764437423	1.37142355625768
57	16	14.113342862158	1.88665713784197
58	15	14.113342862158	0.886657137841972
59	12	14.0325484590887	-2.03254845908874
60	12	13.9517540560195	-1.95175405601946
61	8	13.7093708468116	-5.7093708468116
62	13	14.113342862158	-1.11334286215803
63	11	14.2749316682966	-3.2749316682966
64	14	14.0325484590887	-0.0325484590887432
65	15	14.113342862158	0.886657137841972
66	10	14.1941372652273	-4.19413726522731
67	11	14.2749316682966	-3.2749316682966
68	12	14.0325484590887	-2.03254845908874
69	15	14.113342862158	0.886657137841972
70	15	14.113342862158	0.886657137841972
71	14	13.7901652498809	0.20983475011911
72	16	14.0325484590887	1.96745154091126
73	15	14.2749316682966	0.725068331703403
74	15	14.2749316682966	0.725068331703403
75	13	14.113342862158	-1.11334286215803
76	12	13.8709596529502	-1.87095965295017
77	17	14.1941372652273	2.80586273477269
78	13	14.0325484590887	-1.03254845908874
79	15	14.113342862158	0.886657137841972
80	13	14.113342862158	-1.11334286215803
81	15	14.113342862158	0.886657137841972
82	16	14.113342862158	1.88665713784197
83	15	14.113342862158	0.886657137841972
84	16	14.113342862158	1.88665713784197
85	15	14.0325484590887	0.967451540911257
86	14	13.9517540560195	0.0482459439805413
87	15	13.8709596529502	1.12904034704983
88	14	14.113342862158	-0.113342862158028
89	13	14.113342862158	-1.11334286215803
90	7	14.113342862158	-7.11334286215803
91	17	13.8709596529502	3.12904034704983
92	13	14.3557260713659	-1.35572607136588
93	15	14.113342862158	0.886657137841972
94	14	14.113342862158	-0.113342862158028
95	13	14.113342862158	-1.11334286215803
96	16	13.9517540560195	2.04824594398054
97	12	14.1941372652273	-2.19413726522731
98	14	13.8709596529502	0.129040347049826
99	17	14.113342862158	2.88665713784197
100	15	13.9517540560195	1.04824594398054
101	17	14.2749316682966	2.7250683317034
102	12	14.0325484590887	-2.03254845908874
103	16	14.3557260713659	1.64427392863412
104	11	14.0325484590887	-3.03254845908874
105	15	14.0325484590887	0.967451540911257
106	9	14.113342862158	-5.11334286215803
107	16	14.113342862158	1.88665713784197
108	15	14.113342862158	0.886657137841972
109	10	14.0325484590887	-4.03254845908874
110	10	13.7093708468116	-3.70937084681161
111	15	14.113342862158	0.886657137841972
112	11	14.2749316682966	-3.2749316682966
113	13	14.0325484590887	-1.03254845908874
114	14	14.0325484590887	-0.0325484590887432
115	18	13.9517540560195	4.04824594398054
116	16	14.1941372652273	1.80586273477269
117	14	14.1941372652273	-0.194137265227312
118	14	13.7901652498809	0.20983475011911
119	14	14.0325484590887	-0.0325484590887432
120	14	14.113342862158	-0.113342862158028
121	12	14.0325484590887	-2.03254845908874
122	14	14.1941372652273	-0.194137265227312
123	15	14.113342862158	0.886657137841972
124	15	14.2749316682966	0.725068331703403
125	15	14.1941372652273	0.805862734772688
126	13	14.3557260713659	-1.35572607136588
127	17	13.9517540560195	3.04824594398054
128	17	14.0325484590887	2.96745154091126
129	19	13.8709596529502	5.12904034704983
130	15	14.0325484590887	0.967451540911257
131	13	13.9517540560195	-0.951754056019459
132	9	14.0325484590887	-5.03254845908874
133	15	13.7901652498809	1.20983475011911
134	15	14.0325484590887	0.967451540911257
135	15	14.113342862158	0.886657137841972
136	16	14.113342862158	1.88665713784197
137	11	13.8709596529502	-2.87095965295017
138	14	14.0325484590887	-0.0325484590887432
139	11	13.9517540560195	-2.95175405601946
140	15	13.7901652498809	1.20983475011911
141	13	13.8709596529502	-0.870959652950174
142	15	13.7901652498809	1.20983475011911
143	16	13.8709596529502	2.12904034704983
144	14	14.3557260713659	-0.355726071365881
145	15	14.0325484590887	0.967451540911257
146	16	13.7901652498809	2.20983475011911
147	16	14.1941372652273	1.80586273477269
148	11	14.113342862158	-3.11334286215803
149	12	14.113342862158	-2.11334286215803
150	9	13.8709596529502	-4.87095965295017
151	16	13.7093708468116	2.29062915318839
152	13	14.1941372652273	-1.19413726522731
153	16	13.8709596529502	2.12904034704983
154	12	13.6285764437423	-1.62857644374232
155	9	13.7901652498809	-4.79016524988089
156	13	13.7901652498809	-0.79016524988089
157	13	14.3557260713659	-1.35572607136588
158	14	13.6285764437423	0.371423556257679
159	19	13.8709596529502	5.12904034704983
160	13	14.0325484590887	-1.03254845908874
161	12	13.7901652498809	-1.79016524988089
162	13	13.7901652498809	-0.79016524988089

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
5	0.885041476265436	0.229917047469128	0.114958523734564
6	0.914354299856227	0.171291400287546	0.0856457001437731
7	0.856129310084231	0.287741379831538	0.143870689915769
8	0.779166505809859	0.441666988380281	0.220833494190141
9	0.688962790013485	0.622074419973029	0.311037209986515
10	0.590400646406578	0.819198707186844	0.409599353593422
11	0.571391946249423	0.857216107501155	0.428608053750577
12	0.728546923214001	0.542906153571998	0.271453076785999
13	0.886338959351821	0.227322081296358	0.113661040648179
14	0.852238371171652	0.295523257656696	0.147761628828348
15	0.877979882211728	0.244040235576545	0.122020117788272
16	0.841920000582017	0.316159998835966	0.158079999417983
17	0.799386817835112	0.401226364329776	0.200613182164888
18	0.784192677831436	0.431614644337127	0.215807322168564
19	0.737262569305693	0.525474861388615	0.262737430694307
20	0.689410743258672	0.621178513482657	0.310589256741328
21	0.725572237055977	0.548855525888046	0.274427762944023
22	0.812525337853469	0.374949324293062	0.187474662146531
23	0.772347784321729	0.455304431356541	0.227652215678271
24	0.7874226197845	0.425154760431	0.2125773802155
25	0.782509839312841	0.434980321374317	0.217490160687159
26	0.922712672750386	0.154574654499228	0.0772873272496138
27	0.906611228093963	0.186777543812074	0.0933887719060371
28	0.879954421010382	0.240091157979236	0.120045578989618
29	0.849617519618532	0.300764960762935	0.150382480381468
30	0.88746965649062	0.225060687018759	0.11253034350938
31	0.870303215997164	0.259393568005671	0.129696784002836
32	0.853638004565733	0.292723990868535	0.146361995434267
33	0.856128138081941	0.287743723836118	0.143871861918059
34	0.824528207854024	0.350943584291951	0.175471792145976
35	0.788991355620658	0.422017288758685	0.211008644379342
36	0.764877948603849	0.470244102792302	0.235122051396151
37	0.893976203076988	0.212047593846025	0.106023796923012
38	0.869608310755839	0.260783378488321	0.130391689244161
39	0.876378087799529	0.247243824400943	0.123621912200471
40	0.857338108326395	0.28532378334721	0.142661891673605
41	0.829604874864298	0.340790250271403	0.170395125135702
42	0.810419346458324	0.379161307083353	0.189580653541676
43	0.785540430651564	0.428919138696871	0.214459569348436
44	0.783569505296786	0.432860989406429	0.216430494703214
45	0.779922166810051	0.440155666379899	0.220077833189949
46	0.816326859356064	0.367346281287873	0.183673140643936
47	0.784038711834515	0.431922576330969	0.215961288165485
48	0.750374554457809	0.499250891084381	0.249625445542191
49	0.762774919763236	0.474450160473528	0.237225080236764
50	0.73786140397546	0.52427719204908	0.26213859602454
51	0.713554268263813	0.572891463472374	0.286445731736187
52	0.671968232095161	0.656063535809678	0.328031767904839
53	0.715266705899605	0.56946658820079	0.284733294100395
54	0.716535925365002	0.566928149269996	0.283464074634998
55	0.695364405668235	0.609271188663529	0.304635594331765
56	0.665645580788552	0.668708838422896	0.334354419211448
57	0.645621890605398	0.708756218789204	0.354378109394602
58	0.605705493293411	0.788589013413179	0.394294506706589
59	0.600135212163932	0.799729575672136	0.399864787836068
60	0.59020628988192	0.81958742023616	0.40979371011808
61	0.78509945732599	0.429801085348021	0.21490054267401
62	0.759759673261334	0.480480653477332	0.240240326738666
63	0.797001502636644	0.405996994726711	0.202998497363356
64	0.762989258704403	0.474021482591193	0.237010741295597
65	0.730908355234456	0.538183289531089	0.269091644765544
66	0.807917791307773	0.384164417384453	0.192082208692227
67	0.835869212338357	0.328261575323287	0.164130787661643
68	0.828215319358667	0.343569361282665	0.171784680641333
69	0.802032715917845	0.395934568164311	0.197967284082155
70	0.773605406598103	0.452789186803795	0.226394593401897
71	0.738257923684801	0.523484152630397	0.261742076315199
72	0.726537717323862	0.546924565352276	0.273462282676138
73	0.691277367953867	0.617445264092267	0.308722632046133
74	0.654288550736747	0.691422898526507	0.345711449263253
75	0.621350191066721	0.757299617866558	0.378649808933279
76	0.605123917058816	0.789752165882367	0.394876082941184
77	0.623210794122294	0.753578411755411	0.376789205877706
78	0.587960561882548	0.824078876234905	0.412039438117452
79	0.549992858347581	0.900014283304837	0.450007141652418
80	0.514990790073239	0.970018419853523	0.485009209926761
81	0.47650991210377	0.953019824207541	0.52349008789623
82	0.460891696739584	0.921783393479168	0.539108303260416
83	0.423027966694902	0.846055933389805	0.576972033305098
84	0.408150009727036	0.816300019454072	0.591849990272964
85	0.37250120606965	0.745002412139301	0.62749879393035
86	0.330582468990223	0.661164937980446	0.669417531009777
87	0.299707616577371	0.599415233154742	0.700292383422629
88	0.261882371808332	0.523764743616664	0.738117628191668
89	0.233776976505117	0.467553953010234	0.766223023494883
90	0.572271743631237	0.855456512737526	0.427728256368763
91	0.606321711862706	0.787356576274587	0.393678288137294
92	0.575626516889776	0.848746966220447	0.424373483110224
93	0.537353887619949	0.925292224760103	0.462646112380051
94	0.491805811221274	0.983611622442549	0.508194188778726
95	0.455720034613482	0.911440069226964	0.544279965386518
96	0.445119199643784	0.890238399287568	0.554880800356216
97	0.437528826546919	0.875057653093839	0.562471173453081
98	0.392738455152531	0.785476910305062	0.607261544847469
99	0.4162694195777	0.8325388391554	0.5837305804223
100	0.381025019739114	0.762050039478228	0.618974980260886
101	0.400168069506956	0.800336139013912	0.599831930493044
102	0.386105065412825	0.77221013082565	0.613894934587175
103	0.368427393336021	0.736854786672042	0.631572606663979
104	0.393076654106592	0.786153308213184	0.606923345893408
105	0.357180442808202	0.714360885616405	0.642819557191798
106	0.520135438842347	0.959729122315305	0.479864561157653
107	0.505608145310846	0.988783709378307	0.494391854689154
108	0.466234994888578	0.932469989777157	0.533765005111422
109	0.554267010598263	0.891465978803475	0.445732989401737
110	0.632655639654216	0.734688720691568	0.367344360345784
111	0.593814028610412	0.812371942779177	0.406185971389588
112	0.631199625803427	0.737600748393146	0.368800374196573
113	0.59329220335913	0.81341559328174	0.40670779664087
114	0.544369362573782	0.911261274852436	0.455630637426218
115	0.63802206427861	0.72395587144278	0.36197793572139
116	0.622385201667338	0.755229596665324	0.377614798332662
117	0.573247139032849	0.853505721934303	0.426752860967151
118	0.522774188223732	0.954451623552536	0.477225811776268
119	0.471418644155603	0.942837288311206	0.528581355844397
120	0.420305796000243	0.840611592000486	0.579694203999757
121	0.405228376539148	0.810456753078295	0.594771623460852
122	0.355404531754588	0.710809063509175	0.644595468245412
123	0.315101215381457	0.630202430762915	0.684898784618543
124	0.276549564302679	0.553099128605359	0.723450435697321
125	0.241329063463418	0.482658126926836	0.758670936536582
126	0.208371187460329	0.416742374920657	0.791628812539671
127	0.2335950897321	0.467190179464199	0.7664049102679
128	0.263821949408866	0.527643898817733	0.736178050591134
129	0.463168284957134	0.926336569914268	0.536831715042866
130	0.424418198962975	0.848836397925949	0.575581801037025
131	0.373201921253957	0.746403842507913	0.626798078746043
132	0.54843836252603	0.903123274947941	0.451561637473971
133	0.507206185668872	0.985587628662257	0.492793814331129
134	0.463212887429626	0.926425774859252	0.536787112570374
135	0.419759749854544	0.839519499709089	0.580240250145456
136	0.419648420956392	0.839296841912784	0.580351579043608
137	0.433620344897287	0.867240689794575	0.566379655102712
138	0.372976352380388	0.745952704760776	0.627023647619612
139	0.388544909951554	0.777089819903107	0.611455090048446
140	0.343099953884398	0.686199907768796	0.656900046115602
141	0.287614391948408	0.575228783896816	0.712385608051592
142	0.247031895618528	0.494063791237057	0.752968104381472
143	0.244728958666653	0.489457917333305	0.755271041333347
144	0.193894946493178	0.387789892986356	0.806105053506822
145	0.164348138522741	0.328696277045482	0.835651861477259
146	0.168690332435811	0.337380664871621	0.831309667564189
147	0.188210118046263	0.376420236092526	0.811789881953737
148	0.169923565404277	0.339847130808555	0.830076434595723
149	0.132464510121391	0.264929020242782	0.867535489878609
150	0.253598432252538	0.507196864505077	0.746401567747462
151	0.25511593805255	0.5102318761051	0.74488406194745
152	0.188069312895179	0.376138625790359	0.811930687104821
153	0.192761685841883	0.385523371683766	0.807238314158117
154	0.135784682308372	0.271569364616744	0.864215317691628
155	0.31878062341175	0.637561246823499	0.68121937658825
156	0.223181730940027	0.446363461880054	0.776818269059973
157	0.136160020517537	0.272320041035074	0.863839979482463

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	0	0	OK