Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = -5.63418426484257 + 9.18492464973122Gender[t] + 0.00230324704365767trend[t] -0.00927199770983318trend_G[t] -0.0215672275846862Depression[t] -0.121606500243508Depression_G[t] + 0.0485298120141413Belonging[t] + 0.0050992101862968Belonging_G[t] + 0.0331300242551255WeightedPopularity[t] + 0.0446957854911477WeightedPopularity_G[t] + 0.17194203693447ParentalCriticism[t] -0.217763937453644ParentalCriticism_G[t] -0.00789804780864542Happiness[t] -0.189089829189876Happiness_G[t] + 0.259336367937663FindingFriends[t] -0.26414704323834FindingFriends_G[t] + 0.264170480731017KnowingPeople[t] -0.0601889711386116KnowingPeople_G[t] + 0.290831322282456Liked[t] + 0.0569803763954684Liked_G[t] + 0.527764692648575Celebrity[t] + 0.102234815794935Celebrity_G[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)	-5.63418426484257	4.276467	-1.3175	0.189924	0.094962
Gender	9.18492464973122	5.486919	1.674	0.09647	0.048235
trend	0.00230324704365767	0.006202	0.3713	0.710969	0.355485
trend_G	-0.00927199770983318	0.008071	-1.1488	0.252673	0.126337
Depression	-0.0215672275846862	0.118609	-0.1818	0.855987	0.427994
Depression_G	-0.121606500243508	0.145592	-0.8353	0.405061	0.20253
Belonging	0.0485298120141413	0.028317	1.7138	0.08888	0.04444
Belonging_G	0.0050992101862968	0.036379	0.1402	0.888738	0.444369
WeightedPopularity	0.0331300242551255	0.11409	0.2904	0.771971	0.385986
WeightedPopularity_G	0.0446957854911477	0.135552	0.3297	0.742118	0.371059
ParentalCriticism	0.17194203693447	0.113319	1.5173	0.131541	0.065771
ParentalCriticism_G	-0.217763937453644	0.140323	-1.5519	0.12305	0.061525
Happiness	-0.00789804780864542	0.158552	-0.0498	0.960345	0.480173
Happiness_G	-0.189089829189876	0.195098	-0.9692	0.334189	0.167095
FindingFriends	0.259336367937663	0.140909	1.8404	0.067914	0.033957
FindingFriends_G	-0.26414704323834	0.194901	-1.3553	0.177606	0.088803
KnowingPeople	0.264170480731017	0.116816	2.2614	0.025344	0.012672
KnowingPeople_G	-0.0601889711386116	0.141009	-0.4268	0.670177	0.335089
Liked	0.290831322282456	0.154827	1.8784	0.062495	0.031247
Liked_G	0.0569803763954684	0.201886	0.2822	0.778194	0.389097
Celebrity	0.527764692648575	0.31583	1.671	0.097047	0.048524
Celebrity_G	0.102234815794935	0.369213	0.2769	0.782284	0.391142

Multiple Linear Regression - Regression Statistics
Multiple R	0.766689208812685
R-squared	0.587812342909821
Adjusted R-squared	0.523215769783749
F-TEST (value)	9.09974499363288
F-TEST (DF numerator)	21
F-TEST (DF denominator)	134
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.02772835975805
Sum Squared Residuals	550.965428329585

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	15	13.2759958400576	1.72400415994239
2	12	8.1340262284636	3.8659737715364
3	15	13.415997946991	1.58400205300899
4	12	11.0565539575285	0.943446042471505
5	14	12.8750176494125	1.12498235058745
6	8	8.3344185878878	-0.334418587887804
7	11	12.4427990475475	-1.44279904754751
8	15	9.15170867670218	5.84829132329782
9	4	5.7672863660809	-1.7672863660809
10	13	9.92704830316118	3.07295169683882
11	19	13.9013636803331	5.09863631966693
12	10	11.3475549667815	-1.34755496678145
13	15	17.2263741718015	-2.2263741718015
14	6	11.7394270903916	-5.73942709039158
15	7	11.0683475853148	-4.06834758531479
16	14	12.5222386573094	1.47776134269056
17	16	13.6491050031605	2.3508949968395
18	16	14.5404845628261	1.45951543717389
19	14	14.3706390177842	-0.370639017784193
20	15	14.1605842388127	0.839415761187271
21	14	14.5657795741536	-0.565779574153627
22	12	10.7038659339722	1.29613406602777
23	9	8.96805777665953	0.0319422233404683
24	12	11.59930871609	0.400691283909992
25	14	13.5832088796326	0.416791120367408
26	12	12.049207024473	-0.0492070244729711
27	14	13.1246490680173	0.875350931982731
28	10	10.4817468741181	-0.48174687411809
29	14	13.2102921691126	0.789707830887418
30	16	16.1850785065891	-0.18507850658912
31	10	8.52482748134602	1.47517251865398
32	8	11.076946131789	-3.07694613178895
33	12	12.2324256249959	-0.232425624995913
34	11	11.4025364911055	-0.402536491105469
35	8	9.3388051473348	-1.33880514733481
36	13	10.7789820683385	2.22101793166153
37	11	9.67317626387485	1.32682373612515
38	12	9.30671732337785	2.69328267662215
39	16	14.1851503750603	1.81484962493974
40	16	13.2974320695092	2.70256793049075
41	13	13.7320598473499	-0.732059847349922
42	14	15.205770743808	-1.20577074380801
43	5	5.1726734230187	-0.172673423018699
44	14	12.6800573240357	1.31994267596432
45	13	9.69267869584	3.30732130416
46	16	16.1251462063081	-0.125146206308121
47	14	13.7328513465489	0.267148653451069
48	15	13.415359182715	1.58464081728496
49	15	14.0470216464013	0.952978353598736
50	11	12.412906753837	-1.41290675383696
51	15	13.6941435870677	1.30585641293226
52	16	12.9725535785433	3.02744642145668
53	13	13.8991898151183	-0.899189815118311
54	11	12.9853242743521	-1.98532427435209
55	12	13.0993986337065	-1.09939863370649
56	12	12.0530060783113	-0.0530060783113355
57	10	13.3566978555583	-3.35669785555826
58	8	8.18084659772967	-0.180846597729668
59	9	8.971670094895	0.0283299051050059
60	12	12.5500878077745	-0.550087807774467
61	14	13.4967369872789	0.503263012721092
62	12	13.6961549656755	-1.69615496567551
63	11	10.1780448676603	0.821955132339715
64	14	13.4291014435579	0.570898556442103
65	7	11.2839993319433	-4.2839993319433
66	16	13.5312833042277	2.46871669577234
67	16	15.4072553142332	0.592744685766772
68	11	13.1124261135569	-2.11242611355686
69	16	17.2106617492342	-1.21066174923418
70	13	14.0959265231572	-1.09592652315721
71	11	10.9958716157884	0.00412838421159339
72	13	13.3293650328085	-0.329365032808534
73	14	14.2992369840814	-0.299236984081363
74	15	12.5759205978244	2.42407940217559
75	10	7.97117145303042	2.02882854696958
76	15	15.6495348865898	-0.64953488658979
77	11	12.4122609001172	-1.41226090011715
78	11	12.1728912222776	-1.17289122227761
79	6	8.81330165247662	-2.81330165247662
80	11	10.1499109271726	0.850089072827393
81	12	11.3374457983146	0.662554201685404
82	13	13.1995960719836	-0.199596071983586
83	12	13.2376046495221	-1.2376046495221
84	8	10.7600459564978	-2.76004595649784
85	9	10.8836766200139	-1.88367662001395
86	10	11.3673566473549	-1.3673566473549
87	16	12.7966434442645	3.20335655573546
88	15	13.0525762116854	1.94742378831456
89	14	13.6293846977137	0.370615302286296
90	12	13.6743621358241	-1.67436213582408
91	12	11.0025560419154	0.997443958084581
92	10	9.5801280956123	0.4198719043877
93	12	11.3305362188998	0.669463781100173
94	8	9.40430226823121	-1.40430226823121
95	16	14.5196025800184	1.4803974199816
96	11	8.83318131290251	2.16681868709748
97	12	11.6095760287716	0.390423971228418
98	9	10.9813752972926	-1.98137529729258
99	14	11.6099170067986	2.39008299320144
100	15	13.8321025568294	1.16789744317058
101	8	10.2714766374347	-2.27147663743473
102	12	12.8573957465154	-0.857395746515445
103	10	9.85633895813615	0.143661041863849
104	16	15.2465038614127	0.753496138587303
105	17	15.3404928139371	1.65950718606293
106	8	9.60384738462476	-1.60384738462476
107	9	11.879064375873	-2.87906437587303
108	8	11.9421186017172	-3.94211860171718
109	11	12.0563998316784	-1.0563998316784
110	16	15.6109004739734	0.389099526026618
111	13	13.5241728208553	-0.524172820855277
112	5	7.81356877600441	-2.81356877600441
113	15	13.4354451005812	1.56455489941884
114	15	14.4733561770563	0.526643822943704
115	12	11.2036938887711	0.796306111228929
116	12	11.5664672015403	0.433532798459679
117	16	16.827024206619	-0.827024206618975
118	12	12.9670128268691	-0.96701282686913
119	10	11.8629947303403	-1.8629947303403
120	12	10.6871445727976	1.31285542720237
121	4	5.91082913335389	-1.91082913335389
122	11	12.2307507294481	-1.23075072944806
123	16	14.0638766720116	1.93612332798838
124	7	8.50716619499291	-1.50716619499291
125	9	11.0016637639058	-2.00166376390576
126	14	11.3381986807959	2.66180131920409
127	11	10.5105014070531	0.489498592946897
128	10	11.9828216254215	-1.98282162542155
129	6	8.27209422333465	-2.27209422333465
130	14	13.574096906046	0.425903093953982
131	11	12.1653679336672	-1.16536793366721
132	11	9.6373737169921	1.36262628300789
133	9	13.5657248941332	-4.56572489413315
134	16	11.8922489062465	4.10775109375348
135	7	8.01417690154054	-1.01417690154054
136	8	8.59924945771092	-0.599249457710921
137	10	9.83099090880023	0.169009091199769
138	14	11.9790827970625	2.02091720293752
139	9	9.76422983745289	-0.76422983745289
140	13	12.8639434625053	0.136056537494722
141	13	9.21960194043838	3.78039805956162
142	12	11.9784152890646	0.0215847109353771
143	11	11.8441408302318	-0.844140830231831
144	10	15.1108902374318	-5.11089023743181
145	12	12.5312725440459	-0.531272544045936
146	14	14.2637820424306	-0.263782042430586
147	11	12.0116907117981	-1.01169071179814
148	13	11.4432533425889	1.5567466574111
149	14	13.2163053584443	0.783694641555701
150	13	13.1129526357795	-0.112952635779527
151	16	16.2346039333436	-0.234603933343586
152	13	12.8940100751332	0.105989924866785
153	12	12.1657475669748	-0.165747566974778
154	9	9.73805271087334	-0.738052710873338
155	14	12.4076385222726	1.59236147772737
156	15	14.4702010359803	0.529798964019667

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
25	0.621337454391342	0.757325091217316	0.378662545608658
26	0.827047461718152	0.345905076563696	0.172952538281848
27	0.797667878844855	0.404664242310289	0.202332121155145
28	0.742520744291728	0.514958511416544	0.257479255708272
29	0.647400198029016	0.705199603941967	0.352599801970984
30	0.554926153458511	0.890147693082977	0.445073846541489
31	0.508638917356992	0.982722165286017	0.491361082643008
32	0.832170860414697	0.335658279170606	0.167829139585303
33	0.781641664074372	0.436716671851255	0.218358335925628
34	0.725375472198467	0.549249055603067	0.274624527801533
35	0.83212943629685	0.335741127406299	0.16787056370315
36	0.841104865548423	0.317790268903153	0.158895134451577
37	0.821260678384557	0.357478643230885	0.178739321615443
38	0.799270560870702	0.401458878258597	0.200729439129298
39	0.754618538769744	0.490762922460512	0.245381461230256
40	0.745705448079768	0.508589103840465	0.254294551920232
41	0.696413088795298	0.607173822409404	0.303586911204702
42	0.673698671734662	0.652602656530675	0.326301328265338
43	0.610349045795792	0.779301908408416	0.389650954204208
44	0.570089910606689	0.859820178786621	0.429910089393311
45	0.830346957169521	0.339306085660958	0.169653042830479
46	0.797689969307922	0.404620061384156	0.202310030692078
47	0.807493979052688	0.385012041894624	0.192506020947312
48	0.773531205495104	0.452937589009792	0.226468794504896
49	0.730708948869392	0.538582102261215	0.269291051130608
50	0.705379938297298	0.589240123405405	0.294620061702702
51	0.794507986516016	0.410984026967968	0.205492013483984
52	0.81787103100739	0.36425793798522	0.18212896899261
53	0.78695373603275	0.426092527934499	0.213046263967249
54	0.884215065115059	0.231569869769882	0.115784934884941
55	0.869061013595133	0.261877972809735	0.130938986404867
56	0.860885179453613	0.278229641092774	0.139114820546387
57	0.916918848848088	0.166162302303824	0.0830811511519121
58	0.898241814567868	0.203516370864264	0.101758185432132
59	0.871652374617999	0.256695250764003	0.128347625382001
60	0.845954125744073	0.308091748511854	0.154045874255927
61	0.812220934628497	0.375558130743006	0.187779065371503
62	0.836162252488911	0.327675495022177	0.163837747511089
63	0.818627063444473	0.362745873111053	0.181372936555527
64	0.839047940057858	0.321904119884285	0.160952059942142
65	0.943080771878778	0.113838456242444	0.0569192281212218
66	0.945460482001139	0.109079035997723	0.0545395179988613
67	0.929384223908222	0.141231552183555	0.0706157760917776
68	0.923746835577801	0.152506328844399	0.0762531644221993
69	0.90825501169288	0.183489976614238	0.0917449883071192
70	0.892317184415188	0.215365631169623	0.107682815584812
71	0.871411924439388	0.257176151121224	0.128588075560612
72	0.842613193049864	0.314773613900271	0.157386806950136
73	0.823106193144138	0.353787613711724	0.176893806855862
74	0.841103540635682	0.317792918728636	0.158896459364318
75	0.827216837591568	0.345566324816865	0.172783162408432
76	0.79940638597624	0.401187228047519	0.200593614023759
77	0.869005486878494	0.261989026243012	0.130994513121506
78	0.846858135294178	0.306283729411644	0.153141864705822
79	0.871876384715482	0.256247230569036	0.128123615284518
80	0.849753934618662	0.300492130762677	0.150246065381338
81	0.819846335953316	0.360307328093368	0.180153664046684
82	0.784739727151115	0.43052054569777	0.215260272848885
83	0.75367010026557	0.492659799468861	0.24632989973443
84	0.769511857911348	0.460976284177303	0.230488142088652
85	0.766153509861361	0.467692980277278	0.233846490138639
86	0.74690718949688	0.50618562100624	0.25309281050312
87	0.773458735604903	0.453082528790195	0.226541264395097
88	0.766959573576645	0.466080852846709	0.233040426423355
89	0.726101559091765	0.54779688181647	0.273898440908235
90	0.706909058245816	0.586181883508368	0.293090941754184
91	0.684533550671583	0.630932898656833	0.315466449328417
92	0.639940825824653	0.720118348350693	0.360059174175347
93	0.591743600582611	0.816512798834777	0.408256399417389
94	0.584382982570666	0.831234034858669	0.415617017429334
95	0.557509188744014	0.884981622511973	0.442490811255986
96	0.672784707345896	0.654430585308209	0.327215292654104
97	0.625864134645422	0.748271730709155	0.374135865354578
98	0.60842412643392	0.78315174713216	0.39157587356608
99	0.716619046722264	0.566761906555473	0.283380953277736
100	0.736482806890351	0.527034386219298	0.263517193109649
101	0.733769322724534	0.532461354550932	0.266230677275466
102	0.690288259847892	0.619423480304216	0.309711740152108
103	0.638451109249461	0.723097781501078	0.361548890750539
104	0.596472243529769	0.807055512940463	0.403527756470231
105	0.563928325969456	0.872143348061089	0.436071674030544
106	0.593739749573955	0.81252050085209	0.406260250426045
107	0.570716595764032	0.858566808471936	0.429283404235968
108	0.786474108093764	0.427051783812473	0.213525891906236
109	0.75663703747739	0.486725925045221	0.243362962522611
110	0.703575548219202	0.592848903561597	0.296424451780798
111	0.660368660405694	0.679262679188611	0.339631339594306
112	0.706389799624808	0.587220400750384	0.293610200375192
113	0.680338310267257	0.639323379465486	0.319661689732743
114	0.64459360366585	0.7108127926683	0.35540639633415
115	0.580063126810205	0.83987374637959	0.419936873189795
116	0.682473457843085	0.635053084313829	0.317526542156915
117	0.616527593096631	0.766944813806738	0.383472406903369
118	0.548320174459154	0.903359651081691	0.451679825540846
119	0.622410769375704	0.755178461248592	0.377589230624296
120	0.588521622253658	0.822956755492685	0.411478377746342
121	0.556139528375785	0.88772094324843	0.443860471624215
122	0.515493951500584	0.969012096998831	0.484506048499416
123	0.456098063626398	0.912196127252796	0.543901936373602
124	0.38696564334681	0.773931286693619	0.61303435665319
125	0.36953606678109	0.739072133562181	0.63046393321891
126	0.976454533573283	0.0470909328534332	0.0235454664267166
127	0.953694697539899	0.092610604920203	0.0463053024601015
128	0.97389407453841	0.052211850923179	0.0261059254615895
129	0.948549997363588	0.102900005272824	0.0514500026364122
130	0.98370638961716	0.0325872207656816	0.0162936103828408
131	0.99198072629093	0.0160385474181397	0.00801927370906985

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	0.0280373831775701	OK
10% type I error level	5	0.0467289719626168	OK