Multiple Linear Regression - Estimated Regression Equation

feedback_messages_p120[t] = -7.87852967473048 + 0.00286725100458269pageviews[t] + 9.15953588536965e-05time_in_rfc[t] -0.00479299251481106logins[t] -0.0123533886214compendium_views_info[t] -0.00529940030255239compendium_views_pr[t] + 0.309724208611715shared_compendiums[t] + 0.0193952976695659blogged_computations[t] -0.594995175274595compendiums_reviewed[t] + 0.913432155645361feedback_messages_p1[t] + 5.29321002118165e-05totsize[t] + 0.000859207849576002totrevisions[t] -0.000122654721309424totseconds[t] + 0.466089312965004tothyperlinks[t] -0.566708673239329totblogs[t] + 0.102108947341105I1[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)	-7.87852967473048	5.586666	-1.4102	0.160448	0.080224
pageviews	0.00286725100458269	0.005239	0.5473	0.584969	0.292484
time_in_rfc	9.15953588536965e-05	4.2e-05	2.1942	0.029692	0.014846
logins	-0.00479299251481106	0.036648	-0.1308	0.896113	0.448056
compendium_views_info	-0.0123533886214	0.012405	-0.9959	0.320845	0.160422
compendium_views_pr	-0.00529940030255239	0.0209	-0.2536	0.800163	0.400082
shared_compendiums	0.309724208611715	0.396838	0.7805	0.436283	0.218142
blogged_computations	0.0193952976695659	0.073064	0.2655	0.791006	0.395503
compendiums_reviewed	-0.594995175274595	0.671258	-0.8864	0.376764	0.188382
feedback_messages_p1	0.913432155645361	0.174005	5.2494	0	0
totsize	5.29321002118165e-05	4.1e-05	1.2787	0.202901	0.101451
totrevisions	0.000859207849576002	0.000214	4.0132	9.3e-05	4.6e-05
totseconds	-0.000122654721309424	6.3e-05	-1.9574	0.05207	0.026035
tothyperlinks	0.466089312965004	0.261191	1.7845	0.076277	0.038139
totblogs	-0.566708673239329	0.273455	-2.0724	0.039863	0.019931
I1	0.102108947341105	0.244347	0.4179	0.676603	0.338301

Multiple Linear Regression - Regression Statistics
Multiple R	0.952772889707248
R-squared	0.9077761793611
Adjusted R-squared	0.898964986306427
F-TEST (value)	103.025342167456
F-TEST (DF numerator)	15
F-TEST (DF denominator)	157
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	11.6684431346801
Sum Squared Residuals	21375.9527344002

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	94	94.4229790913553	-0.422979091355276
2	103	87.1583888173226	15.8416111826774
3	93	118.931669490933	-25.9316694909332
4	91	93.23823071756	-2.23823071756005
5	93	90.7765037629575	2.22349623704247
6	60	77.3240185320836	-17.3240185320836
7	123	110.658363078617	12.3416369213828
8	90	75.8737514984696	14.1262485015304
9	168	158.386342829556	9.61365717044404
10	115	102.804553914531	12.1954460854689
11	71	98.3193161622507	-27.3193161622507
12	66	75.747086909818	-9.74708690981807
13	117	122.53221520852	-5.53221520852022
14	108	93.2454980262175	14.7545019737824
15	84	75.0419373895205	8.95806261047946
16	120	110.762436467982	9.23756353201829
17	114	100.928014980086	13.0719850199141
18	94	96.3107246866638	-2.3107246866638
19	120	109.195708527746	10.8042914722539
20	81	73.6935276014319	7.30647239856812
21	133	125.08640155996	7.91359844004023
22	122	117.29286303048	4.70713696952043
23	124	118.346689446733	5.65331055326708
24	126	121.226810697956	4.77318930204379
25	0	-5.3425564153254	5.3425564153254
26	37	39.161098361958	-2.16109836195802
27	38	40.4194268952133	-2.41942689521329
28	120	112.448902733835	7.55109726616494
29	95	103.182961207281	-8.18296120728072
30	77	72.3730247617055	4.62697523829447
31	90	84.6838142742086	5.31618572579142
32	80	86.4972222465924	-6.49722224659242
33	110	111.358184263863	-1.35818426386325
34	138	119.344046663397	18.655953336603
35	100	98.6471266401525	1.35287335984754
36	7	3.90732672724314	3.09267327275686
37	140	121.925951801439	18.0740481985615
38	96	96.610969886787	-0.610969886786888
39	164	145.843256239571	18.1567437604289
40	78	80.0219701892653	-2.02197018926535
41	49	47.0297160525678	1.97028394743218
42	124	116.108081118943	7.89191888105681
43	62	89.8368787666786	-27.8368787666786
44	99	98.7136462363436	0.286353763656377
45	70	83.7103965393217	-13.7103965393217
46	104	88.0261140980737	15.9738859019263
47	116	114.748296113874	1.25170388612578
48	91	86.8195216849988	4.18047831500123
49	67	65.9336016401942	1.06639835980575
50	72	85.3513671834176	-13.3513671834176
51	120	106.174682656867	13.8253173431335
52	105	95.5680029093456	9.43199709065442
53	104	113.622963713314	-9.62296371331422
54	98	98.7196011991024	-0.719601199102352
55	111	135.055985081176	-24.0559850811756
56	71	67.8960010583315	3.10399894166853
57	69	67.6221200827703	1.37787991722969
58	107	103.083366371814	3.91663362818564
59	73	59.6267925045531	13.3732074954469
60	107	101.318804000453	5.6811959995469
61	129	127.720904032157	1.27909596784346
62	118	105.943665059433	12.0563349405666
63	73	71.0328102078677	1.96718979213229
64	119	101.449947790369	17.5500522096313
65	104	108.601292637225	-4.60129263722501
66	107	95.6684816250824	11.3315183749176
67	90	101.865203131074	-11.8652031310737
68	197	176.135566593433	20.8644334065666
69	36	60.6790229229748	-24.6790229229747
70	85	92.211370552925	-7.21137055292494
71	139	147.60881517059	-8.60881517059007
72	106	101.281072651275	4.71892734872465
73	50	95.5837898280844	-45.5837898280844
74	63	97.6152234230977	-34.6152234230977
75	63	66.9290845823461	-3.9290845823461
76	69	78.2499845944294	-9.24998459442944
77	41	30.9424573083136	10.0575426916864
78	56	67.7186364067871	-11.7186364067871
79	25	26.48552990576	-1.48552990575998
80	93	92.358867358648	0.641132641352057
81	44	40.8875556173776	3.11244438262239
82	87	77.2212229564292	9.77877704357084
83	110	131.250546255428	-21.2505462554277
84	0	-6.22513540945301	6.22513540945301
85	83	102.923970984227	-19.9239709842268
86	80	80.380014247523	-0.380014247523052
87	98	116.716762547845	-18.716762547845
88	82	87.8622822827036	-5.86228228270361
89	0	-5.38849499214672	5.38849499214672
90	60	72.608707778221	-12.608707778221
91	28	25.79760060155	2.20239939845005
92	9	12.6089716082851	-3.60897160828508
93	33	36.2775308853146	-3.27753088531456
94	59	60.717264055892	-1.71726405589204
95	115	104.238213788904	10.7617862110961
96	120	119.704387634051	0.29561236594872
97	66	68.0597583420858	-2.05975834208583
98	152	139.148357651122	12.8516423488783
99	139	136.071613583529	2.92838641647073
100	38	41.0849459588606	-3.08494595886057
101	144	143.579475691217	0.420524308783085
102	160	158.07103000867	1.92896999133022
103	114	97.8160450329042	16.1839549670958
104	119	108.283107311884	10.716892688116
105	101	91.9557122449425	9.04428775505748
106	56	52.7094009147033	3.29059908529668
107	133	128.101624799097	4.89837520090327
108	83	84.4707883311924	-1.47078833119239
109	116	109.050589832733	6.94941016726659
110	50	58.0933118218633	-8.09331182186326
111	61	70.6685233081738	-9.66852330817384
112	97	104.208968404829	-7.20896840482879
113	98	93.3390202095404	4.66097979045964
114	78	70.12099704665	7.87900295335003
115	117	137.17023949421	-20.1702394942096
116	55	55.6716035635045	-0.671603563504502
117	132	123.35928241896	8.64071758103994
118	44	39.8464472853699	4.15355271463008
119	21	22.0338673555297	-1.03386735552974
120	50	51.1048438106847	-1.10484381068471
121	73	87.5280922377314	-14.5280922377314
122	86	113.907336562728	-27.9073365627278
123	48	84.0687186517401	-36.0687186517401
124	48	58.5802274847863	-10.5802274847863
125	68	62.0880451500773	5.91195484992265
126	87	77.124695057472	9.87530494252806
127	43	37.0248883937375	5.97511160626245
128	67	62.457353854818	4.54264614518201
129	46	40.5641037146723	5.43589628532766
130	56	43.5939114265227	12.4060885734773
131	60	52.3336425903123	7.66635740968769
132	65	59.2512315389323	5.74876846106768
133	60	53.3605493135467	6.63945068645327
134	54	54.2976577713667	-0.297657771366705
135	52	51.3418999740648	0.658100025935177
136	61	52.7103306309068	8.28966936909325
137	61	70.9912721691401	-9.99127216914013
138	81	68.0687502604255	12.9312497395745
139	40	37.635459134691	2.36454086530897
140	40	48.6285296004983	-8.62852960049832
141	68	58.8298614259834	9.1701385740166
142	79	73.8471485934108	5.1528514065892
143	47	47.1350861253626	-0.135086125362605
144	41	48.3616827484607	-7.36168274846072
145	29	34.8961357079225	-5.89613570792247
146	60	51.2615452806406	8.73845471935941
147	79	71.2653390022069	7.7346609977931
148	47	48.0914437079892	-1.09144370798917
149	40	43.2143067879514	-3.21430678795143
150	42	59.0661219712427	-17.0661219712427
151	49	54.3634109396547	-5.3634109396547
152	57	61.7725564039493	-4.77255640394933
153	40	47.3766781144604	-7.37667811446037
154	33	47.4992957131649	-14.4992957131649
155	77	73.7705227909146	3.22947720908545
156	45	44.2281236439396	0.771876356060367
157	45	46.275231175167	-1.27523117516704
158	50	44.8336637609565	5.16633623904354
159	71	68.7096710500515	2.29032894994855
160	67	62.5534552658548	4.44654473414522
161	62	58.844077925245	3.15592207475499
162	54	45.8067609498726	8.19323905012745
163	4	7.08126928061566	-3.08126928061566
164	25	20.622036687401	4.37796331259901
165	40	51.3377468258189	-11.3377468258189
166	59	52.998005032288	6.00199496771198
167	24	24.5849329618588	-0.584932961858789
168	58	49.9920378400053	8.0079621599947
169	42	48.3371028399984	-6.33710283999839
170	4	1.7693038505964	2.2306961494036
171	63	50.0894129839774	12.9105870160226
172	54	48.274045414444	5.72595458555597
173	39	50.3199127160688	-11.3199127160688

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
19	0.998469061217005	0.00306187756599088	0.00153093878299544
20	0.996003989554652	0.0079920208906957	0.00399601044534785
21	0.99126661685268	0.0174667662946409	0.00873338314732043
22	0.985842753898938	0.0283144922021239	0.0141572461010619
23	0.98716812430493	0.0256637513901381	0.012831875695069
24	0.979348298633229	0.0413034027335417	0.0206517013667709
25	0.96702857427332	0.0659428514533601	0.03297142572668
26	0.953093733271914	0.093812533456172	0.046906266728086
27	0.935978194814713	0.128043610370573	0.0640218051852865
28	0.908593216449607	0.182813567100787	0.0914067835503934
29	0.888868246277686	0.222263507444628	0.111131753722314
30	0.86795550467488	0.26408899065024	0.13204449532512
31	0.828697985611199	0.342604028777602	0.171302014388801
32	0.779680299208906	0.440639401582188	0.220319700791094
33	0.724610819814946	0.550778360370109	0.275389180185054
34	0.788967325410512	0.422065349178976	0.211032674589488
35	0.73652407043867	0.526951859122659	0.26347592956133
36	0.679811723033704	0.640376553932592	0.320188276966296
37	0.687690743415254	0.624618513169492	0.312309256584746
38	0.627366589886468	0.745266820227064	0.372633410113532
39	0.659401647589202	0.681196704821595	0.340598352410798
40	0.627796610923159	0.744406778153682	0.372203389076841
41	0.569900700049582	0.860198599900837	0.430099299950418
42	0.56461896203026	0.87076207593948	0.43538103796974
43	0.675952429141327	0.648095141717347	0.324047570858673
44	0.620970069529905	0.75805986094019	0.379029930470095
45	0.662888635591658	0.674222728816684	0.337111364408342
46	0.682403018094587	0.635193963810827	0.317596981905413
47	0.649731397323142	0.700537205353717	0.350268602676858
48	0.59778316713648	0.80443366572704	0.40221683286352
49	0.547354397688141	0.905291204623717	0.452645602311859
50	0.580233391769677	0.839533216460646	0.419766608230323
51	0.565402765725662	0.869194468548677	0.434597234274338
52	0.549039886956117	0.901920226087766	0.450960113043883
53	0.594449603634152	0.811100792731696	0.405550396365848
54	0.566551615492221	0.866896769015559	0.433448384507779
55	0.738660226716831	0.522679546566338	0.261339773283169
56	0.72439917361958	0.551201652760841	0.27560082638042
57	0.681121131409194	0.637757737181611	0.318878868590806
58	0.650362524898631	0.699274950202738	0.349637475101369
59	0.654720629191747	0.690558741616506	0.345279370808253
60	0.608364618619597	0.783270762760805	0.391635381380402
61	0.55845293393404	0.883094132131921	0.44154706606596
62	0.554020895177266	0.891958209645468	0.445979104822734
63	0.508291776774173	0.983416446451653	0.491708223225827
64	0.581845541714209	0.836308916571582	0.418154458285791
65	0.558472700281727	0.883054599436547	0.441527299718273
66	0.558531524095926	0.882936951808149	0.441468475904074
67	0.570092571695119	0.859814856609761	0.429907428304881
68	0.73406940993134	0.531861180137319	0.265930590068659
69	0.874754082619399	0.250491834761202	0.125245917380601
70	0.865584429176362	0.268831141647275	0.134415570823638
71	0.850498956801912	0.299002086396176	0.149501043198088
72	0.824012997332713	0.351974005334575	0.175987002667287
73	0.995068010967322	0.00986397806535598	0.00493198903267799
74	0.99986559766781	0.000268804664381545	0.000134402332190772
75	0.99979812566286	0.000403748674281854	0.000201874337140927
76	0.999905954135901	0.000188091728197271	9.40458640986354e-05
77	0.99992811833595	0.000143763328100228	7.18816640501138e-05
78	0.999941082850504	0.000117834298992363	5.89171494961814e-05
79	0.999905506175216	0.000188987649568487	9.44938247842434e-05
80	0.999850083807358	0.000299832385284914	0.000149916192642457
81	0.999771811281538	0.000456377436924601	0.0002281887184623
82	0.99971545337573	0.000569093248540122	0.000284546624270061
83	0.99985090621181	0.000298187576379705	0.000149093788189852
84	0.999799316836261	0.000401366327477307	0.000200683163738654
85	0.999935662490202	0.00012867501959494	6.433750979747e-05
86	0.99989643154329	0.000207136913421873	0.000103568456710936
87	0.999929107464908	0.000141785070184514	7.08925350922568e-05
88	0.999910883629217	0.00017823274156689	8.91163707834449e-05
89	0.999867563262531	0.000264873474937569	0.000132436737468784
90	0.99985311208507	0.000293775829858847	0.000146887914929424
91	0.99977501651048	0.000449966979039988	0.000224983489519994
92	0.999662528546805	0.000674942906389819	0.000337471453194909
93	0.999495451354588	0.00100909729082375	0.000504548645411876
94	0.999280318851719	0.00143936229656272	0.000719681148281361
95	0.999538145282245	0.000923709435509427	0.000461854717754714
96	0.999298124382286	0.00140375123542885	0.000701875617714424
97	0.999078676640805	0.00184264671839017	0.000921323359195086
98	0.99918871934485	0.00162256131030119	0.000811280655150593
99	0.9990720496749	0.00185590065020142	0.000927950325100708
100	0.998614624877193	0.00277075024561473	0.00138537512280737
101	0.997969672004117	0.00406065599176636	0.00203032799588318
102	0.997462982075493	0.00507403584901498	0.00253701792450749
103	0.998208343985847	0.00358331202830544	0.00179165601415272
104	0.99868218238646	0.00263563522707954	0.00131781761353977
105	0.998849197653812	0.00230160469237603	0.00115080234618801
106	0.998384188209066	0.00323162358186729	0.00161581179093364
107	0.998526239063033	0.00294752187393344	0.00147376093696672
108	0.998041092559587	0.00391781488082558	0.00195890744041279
109	0.997276368115155	0.00544726376969067	0.00272363188484534
110	0.996206907528295	0.00758618494340979	0.0037930924717049
111	0.996386758086989	0.00722648382602281	0.0036132419130114
112	0.995068244359197	0.00986351128160616	0.00493175564080308
113	0.992885478061732	0.0142290438765351	0.00711452193826754
114	0.99742654276211	0.00514691447577901	0.00257345723788951
115	0.998194037816464	0.0036119243670725	0.00180596218353625
116	0.997197528243818	0.00560494351236388	0.00280247175618194
117	0.996806546381517	0.00638690723696696	0.00319345361848348
118	0.996672458277578	0.00665508344484363	0.00332754172242182
119	0.99506690372385	0.00986619255230017	0.00493309627615009
120	0.995699736693063	0.00860052661387305	0.00430026330693653
121	0.996593740607787	0.00681251878442525	0.00340625939221263
122	0.999193484982387	0.00161303003522673	0.000806515017613363
123	0.999809116221343	0.000381767557313874	0.000190883778656937
124	0.999710945711457	0.00057810857708496	0.00028905428854248
125	0.999911977447274	0.000176045105451262	8.8022552725631e-05
126	0.999851468271409	0.000297063457181899	0.00014853172859095
127	0.99974671743941	0.000506565121179339	0.000253282560589669
128	0.9995611739859	0.00087765202819877	0.000438826014099385
129	0.999247287246047	0.00150542550790704	0.00075271275395352
130	0.998853618650147	0.00229276269970696	0.00114638134985348
131	0.999265541888513	0.00146891622297444	0.00073445811148722
132	0.998795997629444	0.00240800474111166	0.00120400237055583
133	0.997911299299033	0.0041774014019347	0.00208870070096735
134	0.996501985585672	0.0069960288286566	0.0034980144143283
135	0.994217005427958	0.011565989144084	0.00578299457204202
136	0.990548870514076	0.0189022589718484	0.0094511294859242
137	0.993988425729233	0.0120231485415349	0.00601157427076743
138	0.993381629386594	0.0132367412268123	0.00661837061340613
139	0.99022840811443	0.0195431837711396	0.00977159188556982
140	0.984825476433765	0.0303490471324709	0.0151745235662354
141	0.97759725981679	0.0448054803664225	0.0224027401832112
142	0.97271387257299	0.0545722548540212	0.0272861274270106
143	0.960160772731774	0.0796784545364516	0.0398392272682258
144	0.95146202536359	0.0970759492728194	0.0485379746364097
145	0.924786284962602	0.150427430074795	0.0752137150373975
146	0.98726204140958	0.025475917180842	0.012737958590421
147	0.984703379372157	0.0305932412556867	0.0152966206278433
148	0.992127490645275	0.0157450187094491	0.00787250935472456
149	0.991481757484266	0.0170364850314679	0.00851824251573395
150	0.980485048095023	0.0390299038099544	0.0195149519049772
151	0.95730638124907	0.085387237501858	0.042693618750929
152	0.948426720741206	0.103146558517588	0.0515732792587939
153	0.978006430077353	0.0439871398452938	0.0219935699226469
154	0.933583362661962	0.132833274676077	0.0664166373380383

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	63	0.463235294117647	NOK
5% type I error level	81	0.595588235294118	NOK
10% type I error level	87	0.639705882352941	NOK