Multiple Linear Regression - Estimated Regression Equation

popularity[t] = + 0.630092326762164 + 0.0911674453868626finding[t] + 0.341648642438405knowing[t] + 0.48873661315285liked[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)	0.630092326762164	1.492032	0.4223	0.673399	0.3367
finding	0.0911674453868626	0.100623	0.906	0.366354	0.183177
knowing	0.341648642438405	0.059082	5.7827	0	0
liked	0.48873661315285	0.094366	5.1792	1e-06	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.667556284783105
R-squared	0.445631393353423
Adjusted R-squared	0.434689907695924
F-TEST (value)	40.7286000551516
F-TEST (DF numerator)	3
F-TEST (DF denominator)	152
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.20796509448368
Sum Squared Residuals	741.016698485668

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	12.9519260819160	0.0480739180839669
2	12	10.8108667818988	1.1891332181012
3	15	13.4613363003372	1.53866369966277
4	12	9.70697919014695	2.29302080985305
5	10	10.3343559496962	-0.334355949696189
6	12	9.98048152630755	2.01951847369245
7	15	16.0789064325572	-1.07890643255715
8	9	10.8583394829083	-1.85833948290832
9	12	13.3494952496821	-1.34949524968208
10	11	7.62561837208942	3.37438162791058
11	11	13.3946204168509	-2.39462041685085
12	11	11.3470760960612	-0.347076096061168
13	15	12.4754152497135	2.52458475028652
14	7	11.8710596292733	-4.8710596292733
15	11	10.6515530302341	0.348446969765875
16	11	11.5416367677851	-0.541636767785127
17	10	11.3470760960612	-1.34707609606117
18	14	14.5774496730393	-0.577449673039323
19	10	8.42310424146214	1.57689575853786
20	6	9.7192049710972	-3.7192049710972
21	11	10.1957158032998	0.804284196700187
22	15	13.7470644174481	1.25293558255193
23	11	11.6450299941222	-0.645029994122223
24	12	9.4917449131547	2.5082550868453
25	14	13.2024072789676	0.797592721032365
26	15	15.2607469579161	-0.260746957916132
27	9	14.0887130598865	-5.08871305988647
28	13	12.9848254681346	0.0151745318653686
29	13	13.0759929135215	-0.0759929135214936
30	16	11.2996033950517	4.70039660494834
31	13	8.18484882536083	4.81515117463917
32	12	12.6784237457555	-0.678423745755506
33	14	13.8382318628349	0.161768137165069
34	11	10.4461970003514	0.553802999648645
35	9	10.8583394829083	-1.85833948290832
36	16	14.4303617023249	1.56963829767512
37	12	12.4716372930813	-0.471637293081313
38	10	8.4000831023531	1.59991689764691
39	13	12.7695911911424	0.230408808857631
40	16	14.9190983154777	1.08090168452227
41	14	12.5191099940908	1.48089000590917
42	15	8.5349452921173	6.4650547078827
43	5	10.5956325049065	-5.59563250490654
44	8	10.9142600082359	-2.9142600082359
45	11	10.2309627233591	0.769037276640908
46	16	12.9166791618568	3.08332083814319
47	17	13.5999764467336	3.40002355326638
48	9	7.95738876741833	1.04261123258167
49	9	12.0862939062656	-3.08629390626556
50	13	15.0102657608646	-2.01026576086459
51	10	9.7859208545836	0.214079145416408
52	6	11.9514317165013	-5.95143171650135
53	12	12.6661979648053	-0.666197964805272
54	8	10.8108667818988	-2.81086678189880
55	14	12.6102774394777	1.38972256052231
56	12	12.7695911911424	-0.769591191142369
57	11	11.4152224023390	-0.415222402338985
58	16	14.736763424704	1.26323657529600
59	8	12.3804698476945	-4.38046984769445
60	15	14.0887130598865	0.911286940113527
61	7	10.3221301687460	-3.32213016874595
62	16	14.0327925345589	1.96720746544111
63	14	13.8067628994078	0.193237100592184
64	16	13.7470644174481	2.25293558255193
65	9	9.36533054770856	-0.365330547708559
66	14	12.5191099940908	1.48089000590917
67	11	12.7136706658148	-1.71367066581479
68	13	9.98048152630755	3.01951847369245
69	15	12.5191099940908	2.48089000590917
70	5	5.71671419769611	-0.716714197696112
71	15	12.7695911911424	2.23040880885763
72	13	12.5191099940908	0.480890005909173
73	11	12.23338187698	-1.23338187698001
74	11	14.2687004168195	-3.26870041681946
75	12	11.9951264608787	0.00487353912130259
76	12	13.2024072789676	-1.20240727896764
77	12	12.4631894687632	-0.463189468763243
78	12	12.1544402125434	-0.154440212543377
79	14	11.2996033950517	2.70039660494835
80	6	9.1500962707163	-3.15009627071630
81	7	9.98048152630755	-2.98048152630755
82	14	11.4833687086168	2.5166312913832
83	14	13.8941523881625	0.105847611837486
84	10	11.1647412052874	-1.16474120528744
85	13	9.29718424143074	3.70281575856926
86	12	11.7798921838864	0.220107816113565
87	9	9.2534894970534	-0.253489497053393
88	12	12.3574487085854	-0.357448708585405
89	16	13.7470644174481	2.25293558255193
90	10	10.5726113657975	-0.572611365797496
91	14	12.8692064608473	1.1307935391527
92	10	13.4054157750097	-3.40541577500966
93	16	15.0102657608646	0.98973423913541
94	15	13.3617210306323	1.63827896936768
95	12	11.2559086506743	0.744091349325694
96	10	9.8333935555931	0.166606444406895
97	8	8.98843498521087	-0.988434985210874
98	8	9.09417574538871	-1.09417574538871
99	11	13.4735620812875	-2.47356208128748
100	13	11.8358127092140	1.16418729078598
101	16	15.2607469579161	0.739253042083868
102	16	14.1798805052733	1.82011949472666
103	14	16.5117225203824	-2.51172252038242
104	11	9.60358596380987	1.39641403619013
105	4	7.79572748191291	-3.79572748191291
106	14	13.0515413516210	0.948458648378974
107	9	11.6534778184403	-2.65347781844029
108	14	14.0887130598865	-0.088713059886473
109	8	11.8005657891547	-3.80056578915474
110	8	11.6741514237086	-3.6741514237086
111	11	12.4838630740315	-1.48386307403155
112	12	12.8377374974202	-0.837737497420186
113	11	10.4692181394604	0.5307818605396
114	14	13.4965832203965	0.503416779603474
115	15	13.6436711911110	1.35632880888903
116	16	13.2583278042952	2.74167219570478
117	16	13.3494952496821	2.65050475031792
118	11	12.2770766213574	-1.27707662135735
119	14	13.6911438921205	0.308856107879515
120	14	11.5975572931127	2.40244270688729
121	12	12.1774613516524	-0.177461351652422
122	14	12.9641518628663	1.03584813713367
123	8	10.5726113657975	-2.57261136579750
124	13	13.7823113375073	-0.782311337507348
125	16	13.6911438921205	2.30885610787951
126	12	10.6163061101748	1.38369388982515
127	16	14.3269684759878	1.67303152401222
128	12	13.2024072789676	-1.20240727896764
129	11	11.6182308983810	-0.618230898381014
130	4	5.3642701970989	-1.36427019709890
131	16	14.3269684759878	1.67303152401222
132	15	12.0862939062656	2.91370609373444
133	10	12.2770766213574	-2.27707662135735
134	13	12.9044533809066	0.09554661909342
135	15	13.0078466072437	1.99215339275632
136	12	11.1525154243372	0.847484575662791
137	14	13.5999764467336	0.400023553266377
138	7	12.0303733809380	-5.03037338093798
139	19	14.1798805052733	4.82011949472666
140	12	13.1671603589084	-1.16716035890836
141	12	13.4528884760192	-1.45288847601918
142	13	13.3494952496821	-0.349495249682081
143	15	14.3269684759878	0.673031524012219
144	8	7.89067288393194	0.109327116068061
145	12	11.4941640667756	0.505835933224387
146	10	9.53543965753205	0.464560342467951
147	8	11.2996033950517	-3.29960339505165
148	10	14.4533828414339	-4.45338284143392
149	15	13.9416250891720	1.05837491082797
150	16	13.1549345779581	2.84506542204188
151	13	12.0862939062656	0.91370609373444
152	16	14.6686171184262	1.33138288157381
153	9	10.5726113657975	-1.57261136579750
154	14	12.9725996871844	1.02740031281560
155	14	12.2808545779895	1.71914542201048
156	12	12.23338187698	-0.233381876980005

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.086201880935124	0.172403761870248	0.913798119064876
8	0.0833522204081176	0.166704440816235	0.916647779591882
9	0.0360808192587593	0.0721616385175186	0.96391918074124
10	0.0219291507697497	0.0438583015394995	0.97807084923025
11	0.020940230221166	0.041880460442332	0.979059769778834
12	0.00880623720360763	0.0176124744072153	0.991193762796392
13	0.198379266507272	0.396758533014543	0.801620733492728
14	0.526411535169698	0.947176929660603	0.473588464830302
15	0.434357733359196	0.868715466718391	0.565642266640804
16	0.348412761424439	0.696825522848877	0.651587238575561
17	0.293882402179742	0.587764804359484	0.706117597820258
18	0.226225051465612	0.452450102931224	0.773774948534388
19	0.174172417301069	0.348344834602138	0.825827582698931
20	0.437433438164969	0.874866876329939	0.56256656183503
21	0.365951007473965	0.73190201494793	0.634048992526035
22	0.348472024037108	0.696944048074216	0.651527975962892
23	0.287922798627498	0.575845597254996	0.712077201372502
24	0.272788762242382	0.545577524484764	0.727211237757618
25	0.248950671465902	0.497901342931805	0.751049328534098
26	0.203478639842294	0.406957279684587	0.796521360157706
27	0.390186419496689	0.780372838993378	0.609813580503311
28	0.333347992813808	0.666695985627616	0.666652007186192
29	0.279610034577421	0.559220069154842	0.720389965422579
30	0.416709864125572	0.833419728251145	0.583290135874428
31	0.566320954354563	0.867358091290874	0.433679045645437
32	0.507952219671794	0.984095560656412	0.492047780328206
33	0.455369951046781	0.910739902093563	0.544630048953219
34	0.404162576788001	0.808325153576003	0.595837423211999
35	0.399941413116693	0.799882826233385	0.600058586883307
36	0.417194699123449	0.834389398246899	0.582805300876551
37	0.371859735161688	0.743719470323377	0.628140264838312
38	0.332054934625048	0.664109869250095	0.667945065374952
39	0.286999458544914	0.573998917089828	0.713000541455086
40	0.274363034773185	0.54872606954637	0.725636965226815
41	0.254531737551611	0.509063475103223	0.745468262448389
42	0.50573444837906	0.98853110324188	0.49426555162094
43	0.818823224136912	0.362353551726177	0.181176775863088
44	0.853132498553995	0.293735002892010	0.146867501446005
45	0.824967582815225	0.35006483436955	0.175032417184775
46	0.85908501442819	0.281829971143619	0.140914985571809
47	0.903785606999456	0.192428786001088	0.096214393000544
48	0.884828655839032	0.230342688321935	0.115171344160968
49	0.907437340266227	0.185125319467546	0.0925626597337728
50	0.900298501156844	0.199402997686312	0.099701498843156
51	0.88183370410319	0.236332591793621	0.118166295896811
52	0.97014316906413	0.0597136618717391	0.0298568309358696
53	0.961760656356331	0.0764786872873383	0.0382393436436691
54	0.970880407675343	0.0582391846493136	0.0291195923246568
55	0.967606540734937	0.0647869185301267	0.0323934592650633
56	0.958906173288762	0.0821876534224754	0.0410938267112377
57	0.947734755858905	0.104530488282190	0.0522652441410948
58	0.939887384998697	0.120225230002607	0.0601126150013035
59	0.974062637622457	0.0518747247550859	0.0259373623775429
60	0.968568209337054	0.0628635813258914	0.0314317906629457
61	0.978669772123905	0.0426604557521899	0.0213302278760949
62	0.979127931114817	0.0417441377703654	0.0208720688851827
63	0.973037272586346	0.0539254548273081	0.0269627274136541
64	0.97379276946177	0.0524144610764606	0.0262072305382303
65	0.967735288354832	0.0645294232903366	0.0322647116451683
66	0.963197136820467	0.0736057263590658	0.0368028631795329
67	0.959512290013635	0.0809754199727297	0.0404877099863649
68	0.968010771469781	0.0639784570604377	0.0319892285302189
69	0.970552088242013	0.0588958235159738	0.0294479117579869
70	0.962901950788636	0.0741960984227287	0.0370980492113644
71	0.963466298217235	0.0730674035655295	0.0365337017827647
72	0.953737438816679	0.0925251223666425	0.0462625611833212
73	0.945610146749026	0.108779706501948	0.0543898532509738
74	0.960652083615915	0.0786958327681696	0.0393479163840848
75	0.949645850327103	0.100708299345794	0.0503541496728972
76	0.941199441695723	0.117601116608553	0.0588005583042766
77	0.927444103107724	0.145111793784552	0.0725558968922762
78	0.91002853352596	0.179942932948081	0.0899714664740406
79	0.921637935733515	0.156724128532970	0.0783620642664848
80	0.937127041202154	0.125745917595693	0.0628729587978463
81	0.947463344495757	0.105073311008486	0.0525366555042432
82	0.954946685838749	0.0901066283225025	0.0450533141612513
83	0.942699416416632	0.114601167166736	0.0573005835833679
84	0.931777089740177	0.136445820519646	0.0682229102598231
85	0.960978398724827	0.0780432025503467	0.0390216012751733
86	0.950105792355086	0.0997884152898288	0.0498942076449144
87	0.937286606846272	0.125426786307456	0.0627133931537278
88	0.922737257177036	0.154525485645928	0.0772627428229642
89	0.923948093360448	0.152103813279104	0.0760519066395522
90	0.906467519723498	0.187064960553004	0.0935324802765019
91	0.893323471854008	0.213353056291984	0.106676528145992
92	0.922977802782124	0.154044394435751	0.0770221972178756
93	0.907810945108188	0.184378109783624	0.0921890548918118
94	0.898255421667261	0.203489156665479	0.101744578332739
95	0.87894578465289	0.242108430694217	0.121054215347109
96	0.85399738855818	0.292005222883639	0.146002611441820
97	0.836055360115174	0.327889279769652	0.163944639884826
98	0.810798512523365	0.378402974953269	0.189201487476635
99	0.813216376429652	0.373567247140695	0.186783623570348
100	0.789748538887547	0.420502922224905	0.210251461112453
101	0.755731789070371	0.488536421859258	0.244268210929629
102	0.73813188542655	0.523736229146899	0.261868114573449
103	0.789239075131679	0.421521849736642	0.210760924868321
104	0.799981778337964	0.400036443324073	0.200018221662036
105	0.827291963653987	0.345416072692026	0.172708036346013
106	0.799273159693544	0.401453680612912	0.200726840306456
107	0.807495188954656	0.385009622090688	0.192504811045344
108	0.772248961466905	0.455502077066191	0.227751038533095
109	0.833235847269117	0.333528305461765	0.166764152730883
110	0.890305744683313	0.219388510633374	0.109694255316687
111	0.885873914094556	0.228252171810888	0.114126085905444
112	0.886247944045492	0.227504111909015	0.113752055954508
113	0.865821099854971	0.268357800290057	0.134178900145029
114	0.834878590877945	0.330242818244111	0.165121409122055
115	0.807071744737087	0.385856510525826	0.192928255262913
116	0.809362125542888	0.381275748914225	0.190637874457112
117	0.820635233142559	0.358729533714882	0.179364766857441
118	0.796367607281125	0.407264785437749	0.203632392718875
119	0.75388772424975	0.492224551500501	0.246112275750251
120	0.765319316053459	0.469361367893082	0.234680683946541
121	0.71818222149935	0.5636355570013	0.28181777850065
122	0.674304466635128	0.651391066729745	0.325695533364872
123	0.684414808519145	0.63117038296171	0.315585191480855
124	0.634315333055595	0.73136933388881	0.365684666944405
125	0.631874304977187	0.736251390045627	0.368125695022813
126	0.609068476976629	0.781863046046741	0.390931523023370
127	0.568248168962381	0.863503662075238	0.431751831037619
128	0.523833537227549	0.952332925544901	0.476166462772451
129	0.527793870692623	0.944412258614753	0.472206129307377
130	0.476249175923816	0.952498351847633	0.523750824076184
131	0.43089222550058	0.86178445100116	0.56910777449942
132	0.457070589332974	0.914141178665949	0.542929410667026
133	0.487302341380377	0.974604682760754	0.512697658619623
134	0.420088764016329	0.840177528032657	0.579911235983671
135	0.41306173325581	0.82612346651162	0.58693826674419
136	0.364971408744657	0.729942817489314	0.635028591255343
137	0.296606070051064	0.593212140102128	0.703393929948936
138	0.502775285713216	0.994449428573568	0.497224714286784
139	0.805469354418959	0.389061291162082	0.194530645581041
140	0.829249127753443	0.341501744493114	0.170750872246557
141	0.82786786808849	0.344264263823021	0.172132131911510
142	0.758957973033748	0.482084053932503	0.241042026966252
143	0.674687264658509	0.650625470682983	0.325312735341491
144	0.573507106201103	0.852985787597794	0.426492893798897
145	0.48517114090760	0.97034228181520	0.5148288590924
146	0.731009514682407	0.537980970635187	0.268990485317593
147	0.662541212845265	0.674917574309471	0.337458787154735
148	0.856244589250297	0.287510821499406	0.143755410749703
149	0.767132523061463	0.465734953877073	0.232867476938537

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	5	0.0349650349650350	OK
10% type I error level	27	0.188811188811189	NOK