Multiple Linear Regression - Estimated Regression Equation

Logins[t] = + 8.0670304126242 + 0.0379100986740835Pageviews[t] -0.0837669867860889Blogs[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)	8.0670304126242	5.358654	1.5054	0.134175	0.067088
Pageviews	0.0379100986740835	0.003986	9.5118	0	0
Blogs	-0.0837669867860889	0.088272	-0.949	0.344059	0.172029

Multiple Linear Regression - Regression Statistics
Multiple R	0.745334083278815
R-squared	0.555522895697072
Adjusted R-squared	0.550001440985235
F-TEST (value)	100.61169106505
F-TEST (DF numerator)	2
F-TEST (DF denominator)	161
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	30.6508130014398
Sum Squared Residuals	151255.046361526

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	64	62.7666129867678	1.23338701323216
2	60	39.4126894127808	20.5873105872192
3	66	69.8429041616008	-3.84290416160083
4	97	91.0445502959789	5.95544970402112
5	48	43.303359845851	4.69664015414895
6	27	29.2710214532817	-2.27102145328166
7	106	147.564859722006	-41.5648597220063
8	19	22.4270110206639	-3.42701102066392
9	53	73.2187267921098	-20.2187267921098
10	41	63.7137140582441	-22.7137140582441
11	101	76.0828282593246	24.9171717406754
12	104	71.2328108729332	32.7671891270668
13	64	63.9062608532698	0.0937391467302425
14	73	98.418650714658	-25.418650714658
15	77	67.5004248332456	9.49957516675442
16	170	168.342720434671	1.65727956532877
17	65	75.2335639049947	-10.2335639049947
18	140	96.5762980631279	43.4237019368721
19	51	49.0669976350634	1.93300236493662
20	78	79.2887720099819	-1.28877200998195
21	67	85.8007107971106	-18.8007107971106
22	99	100.869909851253	-1.86990985125279
23	37	53.0859891522801	-16.0859891522801
24	52	61.9105742961398	-9.91057429613976
25	109	110.211166646189	-1.21116664618928
26	110	91.7733100179883	18.2266899820117
27	123	100.890102522535	22.1098974774645
28	79	66.3087971377093	12.6912028622907
29	50	57.922588203687	-7.92258820368696
30	56	83.0791304820145	-27.0791304820145
31	71	78.394171825304	-7.39417182530397
32	70	67.349956891689	2.65004310831104
33	82	73.6199746362608	8.3800253637392
34	34	37.7140303665091	-3.71403036650912
35	88	104.566209640782	-16.5662096407819
36	54	102.258513771834	-48.2585137718336
37	114	128.947874633764	-14.9478746337642
38	77	65.4435088668916	11.5564911331084
39	31	40.0662803328178	-9.06628033281783
40	174	111.968449520182	62.0315504798184
41	76	113.285532335821	-37.2855323358211
42	61	57.6896560660959	3.31034393390412
43	71	63.9668388671179	7.0331611328821
44	52	59.2837040589229	-7.28370405892292
45	75	94.7491875950979	-19.7491875950979
46	138	186.77236959821	-48.7723695982105
47	42	41.1931612597111	0.806838740288938
48	70	78.6870305813674	-8.68703058136738
49	110	139.853216112292	-29.8532161122915
50	53	75.6419768055959	-22.6419768055959
51	70	63.2771616969223	6.72283830307771
52	24	26.2003034606809	-2.2003034606809
53	297	94.0699324582315	202.930067541768
54	17	34.5130371036344	-17.5130371036344
55	64	49.5676453696525	14.4323546303475
56	52	104.09226823855	-52.0922682385499
57	79	86.945960546771	-7.94596054677099
58	168	127.896813904219	40.1031860957809
59	126	81.3420402793049	44.6579597206951
60	76	75.7691254366026	0.230874563397347
61	132	138.939726047082	-6.93972604708246
62	112	111.621787086568	0.378212913431707
63	95	90.2580785241646	4.74192147583535
64	82	86.349690663703	-4.349690663703
65	62	54.057581987446	7.94241801255403
66	63	60.2284602241198	2.77153977588023
67	122	69.0052342937399	52.9947657062601
68	132	93.8302259843422	38.1697740156578
69	71	74.1482407738066	-3.14824077380662
70	62	52.0570752801452	9.94292471985479
71	64	91.2768310381941	-27.2768310381941
72	32	40.0778748192868	-8.0778748192868
73	75	79.8572931524813	-4.85729315248128
74	50	62.0077596179104	-12.0077596179103
75	56	60.3825758627074	-4.38257586270745
76	74	77.7582983326583	-3.75829833265829
77	84	79.5387701795886	4.46122982041142
78	103	67.3072266428441	35.6927733571559
79	59	76.8961367011078	-17.8961367011078
80	59	60.5769465062486	-1.57694650624862
81	44	62.7194533079042	-18.7194533079042
82	104	126.077780563239	-22.0777805632389
83	67	56.9980247097728	10.0019752902272
84	96	76.4008301744534	19.5991698255466
85	25	36.9442339065585	-11.9442339065585
86	51	71.7389301530689	-20.7389301530689
87	51	45.3829437273791	5.61705627262093
88	172	132.094933881477	39.905066118523
89	98	87.7194047037527	10.2805952962473
90	101	108.159201167618	-7.15920116761801
91	83	84.3606481052593	-1.36064810525929
92	70	66.9900064607031	3.00999353929694
93	59	64.5244169185241	-5.52441691852407
94	71	108.401252547787	-37.4012525477867
95	73	86.5111016963528	-13.5111016963528
96	35	59.1944655265902	-24.1944655265902
97	47	58.5463461520998	-11.5463461520998
98	70	67.7806469873122	2.21935301268777
99	138	135.230659317945	2.76934068205533
100	104	123.791580156325	-19.7915801563249
101	110	86.1577952640532	23.8422047359468
102	60	77.5430836224586	-17.5430836224586
103	170	76.0662832850729	93.9337167149271
104	14	29.7999389862033	-15.7999389862033
105	73	79.6164142254523	-6.61641422545227
106	123	68.2293148928669	54.7706851071331
107	45	86.0263475406395	-41.0263475406395
108	85	89.1124380543523	-4.11243805435226
109	57	42.645990891171	14.354009108829
110	79	110.905142908792	-31.9051429087918
111	64	70.8866694970838	-6.88666949708381
112	78	75.7710796227301	2.22892037726989
113	11	22.1500458434764	-11.1500458434764
114	69	67.0492816837996	1.95071831620044
115	25	26.2327420138084	-1.2327420138084
116	47	59.9129335528823	-12.9129335528823
117	105	101.31636318814	3.68363681186002
118	16	22.4031706523502	-6.40317065235016
119	47	74.5119692394355	-27.5119692394355
120	19	23.5808589551381	-4.58085895513809
121	109	117.606632189291	-8.6066321892908
122	59	70.41950243115	-11.41950243115
123	79	59.642612374381	19.357387625619
124	50	62.6289119848199	-12.6289119848199
125	34	28.2596946709262	5.7403053290738
126	37	63.5754919985323	-26.5754919985323
127	77	94.0535178215918	-17.0535178215918
128	56	50.2427317517239	5.75726824827614
129	76	122.779601978594	-46.7796019785936
130	94	80.962939292564	13.037060707436
131	116	117.228833993302	-1.2288339933016
132	33	47.1585954241386	-14.1585954241386
133	37	44.3923306740702	-7.39233067407021
134	303	104.768527073761	198.231472926239
135	158	148.806643398062	9.19335660193849
136	44	61.0929667619497	-17.0929667619497
137	126	145.429648314413	-19.4296483144128
138	74	69.9920693124058	4.00793068759417
139	46	61.0349943296048	-15.0349943296048
140	81	79.7998417779003	1.2001582220997
141	109	66.1423052796649	42.8576947203351
142	108	138.746397519069	-30.7463975190691
143	80	74.6692115172903	5.33078848270966
144	63	81.7796347561545	-18.7796347561544
145	94	96.5617072750037	-2.5617072750037
146	52	56.9420064635554	-4.94200646355541
147	77	88.0783130192108	-11.0783130192108
148	96	81.5885210894924	14.4114789105076
149	0	8.14285060997236	-8.14285060997236
150	10	15.5793528910151	-5.57935289101513
151	1	8.25658090599461	-7.25658090599461
152	2	8.37031120201686	-6.37031120201687
153	0	8.0670304126242	-8.0670304126242
154	0	8.0670304126242	-8.0670304126242
155	80	72.3345486407611	7.66545135923892
156	135	109.961689534347	25.0383104656535
157	0	8.0670304126242	-8.0670304126242
158	4	8.21867080732054	-4.21867080732054
159	5	13.2050864049082	-8.20508640490818
160	20	25.0312133427067	-5.03121334270671
161	5	13.41235432567	-8.41235432566997
162	38	41.9679082074444	-3.96790820744439
163	2	9.16642327417262	-7.16642327417262
164	60	63.9142076427077	-3.91420764270768

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.0217275825993361	0.0434551651986723	0.978272417400664
7	0.00521357941506308	0.0104271588301262	0.994786420584937
8	0.0011815573579203	0.0023631147158406	0.99881844264208
9	0.000389923378032343	0.000779846756064686	0.999610076621968
10	0.00231484793452121	0.00462969586904243	0.997685152065479
11	0.0101744505600421	0.0203489011200841	0.989825549439958
12	0.0107538194075239	0.0215076388150478	0.989246180592476
13	0.00663805132097759	0.0132761026419552	0.993361948679022
14	0.0053545522557701	0.0107091045115402	0.99464544774423
15	0.00343521037237999	0.00687042074475998	0.99656478962762
16	0.00721672453257398	0.014433449065148	0.992783275467426
17	0.00631434712711817	0.0126286942542363	0.993685652872882
18	0.039380954178122	0.0787619083562441	0.960619045821878
19	0.0263257488244763	0.0526514976489527	0.973674251175524
20	0.0170802240745941	0.0341604481491881	0.982919775925406
21	0.0142134722814273	0.0284269445628545	0.985786527718573
22	0.00853330902925921	0.0170666180585184	0.991466690970741
23	0.00631934027190917	0.0126386805438183	0.993680659728091
24	0.0041833218286268	0.0083666436572536	0.995816678171373
25	0.00238082773782554	0.00476165547565108	0.997619172262174
26	0.00214714201348194	0.00429428402696388	0.997852857986518
27	0.00215719623681653	0.00431439247363306	0.997842803763183
28	0.0013409653067133	0.0026819306134266	0.998659034693287
29	0.000802502456939538	0.00160500491387908	0.99919749754306
30	0.000935798341479088	0.00187159668295818	0.999064201658521
31	0.000546965289880513	0.00109393057976103	0.999453034710119
32	0.000301302726708522	0.000602605453417043	0.999698697273292
33	0.000173304202693164	0.000346608405386328	0.999826695797307
34	9.48146267683649e-05	0.00018962925353673	0.999905185373232
35	6.18816169941604e-05	0.000123763233988321	0.999938118383006
36	0.000229159392799277	0.000458318785598555	0.999770840607201
37	0.000130374784675956	0.000260749569351912	0.999869625215324
38	8.28836853423306e-05	0.000165767370684661	0.999917116314658
39	4.88906071828981e-05	9.77812143657963e-05	0.999951109392817
40	0.00128084040109735	0.0025616808021947	0.998719159598903
41	0.00173417370387316	0.00346834740774633	0.998265826296127
42	0.00109211146688888	0.00218422293377777	0.998907888533111
43	0.000700119547891205	0.00140023909578241	0.999299880452109
44	0.000440844780734892	0.000881689561469783	0.999559155219265
45	0.000300504336169311	0.000601008672338623	0.999699495663831
46	0.000329657568268276	0.000659315136536551	0.999670342431732
47	0.000198901179950857	0.000397802359901714	0.999801098820049
48	0.000124998542528611	0.000249997085057222	0.999875001457471
49	0.000104685322358429	0.000209370644716857	0.999895314677642
50	9.0403057181592e-05	0.000180806114363184	0.999909596942818
51	5.38016864138243e-05	0.000107603372827649	0.999946198313586
52	3.10556915537968e-05	6.21113831075937e-05	0.999968944308446
53	0.973596834781837	0.0528063304363256	0.0264031652181628
54	0.968551448693638	0.0628971026127247	0.0314485513063624
55	0.961218299611821	0.0775634007763572	0.0387817003881786
56	0.9746947565929	0.0506104868141992	0.0253052434070996
57	0.96757639083333	0.0648472183333402	0.0324236091666701
58	0.973721823341786	0.0525563533164283	0.0262781766582142
59	0.979125153128993	0.041749693742015	0.0208748468710075
60	0.972571792800008	0.0548564143999843	0.0274282071999922
61	0.964956553985411	0.0700868920291782	0.0350434460145891
62	0.955056412101662	0.0898871757966765	0.0449435878983383
63	0.943782604327258	0.112434791345484	0.056217395672742
64	0.929924702494362	0.140150595011275	0.0700752975056376
65	0.914169356715389	0.171661286569223	0.0858306432846114
66	0.895140968916812	0.209718062166376	0.104859031083188
67	0.928018621181972	0.143962757636056	0.0719813788180282
68	0.935933252711076	0.128133494577848	0.0640667472889239
69	0.92117317731285	0.1576536453743	0.0788268226871502
70	0.906019823658578	0.187960352682843	0.0939801763414217
71	0.90226042572	0.19547914856	0.09773957428
72	0.883024852954576	0.233950294090849	0.116975147045424
73	0.859948511080721	0.280102977838558	0.140051488919279
74	0.838254302504019	0.323491394991961	0.161745697495981
75	0.810951319269295	0.37809736146141	0.189048680730705
76	0.780486682195574	0.439026635608852	0.219513317804426
77	0.746242114071681	0.507515771856638	0.253757885928319
78	0.757271583933424	0.485456832133151	0.242728416066576
79	0.734706309254091	0.530587381491818	0.265293690745909
80	0.69680154465418	0.606396910691641	0.30319845534582
81	0.672112596604161	0.655774806791678	0.327887403395839
82	0.652714873088785	0.69457025382243	0.347285126911215
83	0.614087636500302	0.771824726999395	0.385912363499698
84	0.588107437984033	0.823785124031934	0.411892562015967
85	0.551723442319785	0.896553115360431	0.448276557680215
86	0.529183833512846	0.941632332974308	0.470816166487154
87	0.486506518327506	0.973013036655012	0.513493481672494
88	0.515426901537182	0.969146196925636	0.484573098462818
89	0.474983593050818	0.949967186101635	0.525016406949183
90	0.432236482334748	0.864472964669495	0.567763517665252
91	0.388224304642847	0.776448609285693	0.611775695357153
92	0.347329745648208	0.694659491296416	0.652670254351792
93	0.307977431274265	0.61595486254853	0.692022568725735
94	0.327272093956574	0.654544187913148	0.672727906043426
95	0.296456648780383	0.592913297560765	0.703543351219618
96	0.281171460621687	0.562342921243375	0.718828539378313
97	0.248736225675343	0.497472451350685	0.751263774324658
98	0.215384832746477	0.430769665492955	0.784615167253523
99	0.183822866740801	0.367645733481602	0.816177133259199
100	0.167479686464689	0.334959372929378	0.832520313535311
101	0.155735352808839	0.311470705617679	0.844264647191161
102	0.136474088284239	0.272948176568478	0.863525911715761
103	0.432808183203993	0.865616366407986	0.567191816796007
104	0.399466594339364	0.798933188678729	0.600533405660636
105	0.356752814016048	0.713505628032096	0.643247185983952
106	0.458300052243014	0.916600104486028	0.541699947756986
107	0.488661166489984	0.977322332979967	0.511338833510016
108	0.441567773971069	0.883135547942138	0.558432226028931
109	0.405205039497644	0.810410078995288	0.594794960502356
110	0.411540696224904	0.823081392449807	0.588459303775096
111	0.36761730593818	0.735234611876361	0.63238269406182
112	0.323812578458369	0.647625156916739	0.676187421541631
113	0.286523182538972	0.573046365077944	0.713476817461028
114	0.247372021458573	0.494744042917147	0.752627978541427
115	0.210831329219942	0.421662658439883	0.789168670780058
116	0.181581833999504	0.363163667999008	0.818418166000496
117	0.15111618702149	0.30223237404298	0.84888381297851
118	0.124888419181258	0.249776838362517	0.875111580818742
119	0.119400848645232	0.238801697290464	0.880599151354768
120	0.0965839501538469	0.193167900307694	0.903416049846153
121	0.079970903418056	0.159941806836112	0.920029096581944
122	0.0651191490161527	0.130238298032305	0.934880850983847
123	0.0550767821020793	0.110153564204159	0.944923217897921
124	0.0445320106666524	0.0890640213333048	0.955467989333348
125	0.0340759921823126	0.0681519843646252	0.965924007817687
126	0.0313303178426666	0.0626606356853333	0.968669682157333
127	0.0255201556137632	0.0510403112275265	0.974479844386237
128	0.0187657832124364	0.0375315664248727	0.981234216787564
129	0.0318795490193108	0.0637590980386216	0.968120450980689
130	0.0242521858573574	0.0485043717147148	0.975747814142643
131	0.0181376670970389	0.0362753341940777	0.981862332902961
132	0.0137064399270166	0.0274128798540332	0.986293560072983
133	0.00974598933708525	0.0194919786741705	0.990254010662915
134	0.999998528302231	2.94339553881971e-06	1.47169776940985e-06
135	0.999997713941175	4.57211765008277e-06	2.28605882504138e-06
136	0.999996059629236	7.88074152773242e-06	3.94037076386621e-06
137	0.99999500784494	9.98431011935297e-06	4.99215505967648e-06
138	0.99998906874341	2.18625131796001e-05	1.09312565898001e-05
139	0.99998488297059	3.02340588204435e-05	1.51170294102218e-05
140	0.99996415787653	7.16842469394212e-05	3.58421234697106e-05
141	0.999999977030174	4.59396519976563e-08	2.29698259988282e-08
142	0.999999997942368	4.11526382594858e-09	2.05763191297429e-09
143	0.999999991269545	1.74609109252234e-08	8.73045546261169e-09
144	0.999999997472394	5.05521240042284e-09	2.52760620021142e-09
145	0.999999996050516	7.89896810294645e-09	3.94948405147323e-09
146	0.999999996036133	7.92773384765378e-09	3.96386692382689e-09
147	0.999999999994047	1.19050668839486e-11	5.9525334419743e-12
148	0.999999999998526	2.94872341310913e-12	1.47436170655456e-12
149	0.999999999982704	3.45913062183124e-11	1.72956531091562e-11
150	0.999999999835331	3.2933769728218e-10	1.6466884864109e-10
151	0.999999998174265	3.6514706759634e-09	1.8257353379817e-09
152	0.99999998248702	3.50259589635425e-08	1.75129794817712e-08
153	0.999999819941502	3.60116995493628e-07	1.80058497746814e-07
154	0.999998252679138	3.49464172473338e-06	1.74732086236669e-06
155	0.999997786106888	4.42778622368178e-06	2.21389311184089e-06
156	0.999998403613191	3.19277361710339e-06	1.59638680855169e-06
157	0.999974607792413	5.07844151736996e-05	2.53922075868498e-05
158	0.999903472864213	0.000193054271574421	9.65271357872107e-05

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	58	0.379084967320261	NOK
5% type I error level	76	0.496732026143791	NOK
10% type I error level	92	0.601307189542484	NOK