Multiple Linear Regression - Estimated Regression Equation
hours_uk[t] = + 1.40116639162681 + 0.000516868123663379hours_blogs[t] + 0.011094354229163hours_spr[t] + 0.857311247586842blogs_uk[t] -0.0144428948982851blogs_spr[t] + 0.279018220213858uk_spr[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.401166391626810.7816841.79250.0742030.037101
hours_blogs0.0005168681236633790.0002372.18070.0300880.015044
hours_spr0.0110943542291630.0028423.90380.000126e-05
blogs_uk0.8573112475868420.02520134.019200
blogs_spr-0.01444289489828510.002893-4.99251e-061e-06
uk_spr0.2790182202138580.1574971.77160.0776220.038811


Multiple Linear Regression - Regression Statistics
Multiple R0.947856547591389
R-squared0.898432034811868
Adjusted R-squared0.896501084903348
F-TEST (value)465.279824633389
F-TEST (DF numerator)5
F-TEST (DF denominator)263
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation7.2103922727738
Sum Squared Residuals13673.3060192736


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
110282.740972862125919.2590271378741
29997.23941001460381.76058998539617
39765.610824157505531.3891758424945
48268.112581859164113.8874181408359
57754.884145421280922.1158545787191
66546.502563173265318.4974368267347
76445.323116894739518.6768831052605
86264.3112090292337-2.31120902923365
96255.99535411262536.00464588737466
106260.16691869006461.83308130993536
116172.1090671147114-11.1090671147114
125935.447599691790923.5524003082091
135748.83789006031768.1621099396824
145637.987319965677718.0126800343223
155437.711244100185116.2887558998149
165453.73320203960130.266797960398659
175339.340039459443413.6599605405566
185235.51040167252916.489598327471
195134.187999388487816.8120006115122
205151.8567842463619-0.856784246361898
215137.348686461717113.6513135382829
225083.2969803142084-33.2969803142084
235040.01489085687459.98510914312549
245064.9890745332264-14.9890745332264
254947.44155333070091.5584466692991
264948.46680977005190.533190229948118
274946.75990921011172.24009078988827
284830.677159511758417.3228404882416
294839.90387407286458.09612592713552
304748.1961398885257-1.1961398885257
314745.71629323378861.28370676621138
324645.6571667649180.342833235082037
334650.683717744401-4.68371774440097
344548.135346643252-3.13534664325199
354543.08631541067681.91368458932321
364539.07176984319085.92823015680918
374427.9676938601816.03230613982
384348.8007780547045-5.80077805470451
394237.90007715811344.09992284188665
404237.89944167266274.1005583273373
414234.76727156292157.23272843707853
424224.144476561907617.8555234380924
434226.909813206630815.0901867933692
444254.477226663423-12.477226663423
454148.518112720822-7.51811272082199
464132.83392208113198.16607791886809
474149.4769327245795-8.47693272457946
484143.0212240028485-2.02122400284855
494144.6310998389768-3.63109983897677
504138.48540908608852.51459091391151
514146.24326834183-5.24326834182999
524032.78254863411627.2174513658838
534046.9717225273711-6.97172252737106
544048.469665297667-8.46966529766705
554037.39106485365572.60893514634427
564046.9434843820406-6.94348438204061
573932.33831398460476.66168601539532
583946.0525322978769-7.05253229787689
593839.4283493531101-1.42834935311013
603840.2887802777789-2.28878027777891
613635.0748242920850.925175707915027
623630.91187521536565.08812478463437
633526.14646027725698.85353972274311
643532.22239502689612.77760497310393
653540.0780044094395-5.07800440943954
663541.6784838184599-6.67848381845991
673444.9476491384701-10.9476491384701
683428.93958711347725.06041288652277
693430.81119579382893.18880420617113
703334.085012926952-1.085012926952
713342.6007926582148-9.60079265821484
723330.76085608306052.23914391693951
733236.5241727722366-4.52417277223661
743220.744248258101511.2557517418985
753230.55309434838841.44690565161155
763137.3617894803046-6.36178948030458
773132.3201876109748-1.32018761097483
783052.751304482198-22.751304482198
793028.47849513123011.52150486876992
803040.6017816533121-10.6017816533121
813024.80341670454215.19658329545786
822937.1912711478128-8.19127114781276
832841.7963936031771-13.7963936031771
842813.680851459301514.3191485406985
852732.1877582858733-5.18775828587328
862722.42581699788194.57418300211807
872727.1470658095266-0.147065809526616
882617.49168217886738.50831782113267
892532.0119469288806-7.01194692888059
902544.0839755806915-19.0839755806915
912530.3581383969134-5.35813839691345
922422.0439247075461.95607529245401
932420.98999827573463.01000172426541
942345.7321568731391-22.7321568731391
952333.9768457418516-10.9768457418516
962329.359572714901-6.35957271490096
972326.3876809473607-3.38768094736072
982338.3424520464558-15.3424520464558
992229.3208442264854-7.3208442264854
1002231.840233896018-9.840233896018
1012223.6042899717077-1.60428997170766
1022216.12986711736655.87013288263346
1032017.68344931180632.3165506881937
1041917.69905427367931.30094572632069
1051912.43973971844126.56026028155877
1061725.1741329445127-8.17413294451268
1071725.8415741057951-8.84157410579508
1081613.20420578791752.79579421208249
1091620.3445057555838-4.34450575558378
11059.95824243457367-4.95824243457367
111411.183379899022-7.18337989902201
11235.05364234032628-2.05364234032628
113010.861486525141-10.861486525141
11402.96442216160172-2.96442216160172
11506.03027212973292-6.03027212973292
11605.23050249584728-5.23050249584728
11703.6989611473889-3.6989611473889
11803.55803071369433-3.55803071369433
11903.29908535940779-3.29908535940779
12003.28752642392668-3.28752642392668
12102.19916028611926-2.19916028611926
12202.21191572457113-2.21191572457113
12303.05178926278168-3.05178926278168
12402.22786084212195-2.22786084212195
12502.05732381176679-2.05732381176679
1260-1.98905814715571.9890581471557
12702.47389406479236-2.47389406479236
12800.484719908136368-0.484719908136368
12901.65124684758388-1.65124684758388
13001.12009892618511-1.12009892618511
13100.900219789180961-0.900219789180961
13201.96374697976503-1.96374697976503
1330-0.4888832967364810.488883296736481
13400.752941207116531-0.752941207116531
13500.960253450356851-0.960253450356851
13600.373378653080033-0.373378653080033
13701.17686931982311-1.17686931982311
13801.62215295782654-1.62215295782654
13900.529345500184455-0.529345500184455
1400-0.8468890726033080.846889072603308
1410-1.37260361456131.3726036145613
1420-1.816391741335311.81639174133531
14302.14401305428866-2.14401305428866
14401.38339406761234-1.38339406761234
14501.65101840191-1.65101840191
14601.83576493796933-1.83576493796933
14701.24771280305718-1.24771280305718
1480-1.168102510112621.16810251011262
14901.23831263971254-1.23831263971254
15000.589812494506739-0.589812494506739
15100.72787066161695-0.72787066161695
15201.07724788540004-1.07724788540004
15300.686993671308783-0.686993671308783
15400.536538780227714-0.536538780227714
15501.56383527071169-1.56383527071169
15601.03090622965607-1.03090622965607
15700.348470166376366-0.348470166376366
1580-0.7040771825078030.704077182507803
15901.22097331801694-1.22097331801694
16000.342105690096488-0.342105690096488
1610-1.229582157292691.22958215729269
16200.144390604465889-0.144390604465889
16302.38915283159367-2.38915283159367
16401.38309812130263-1.38309812130263
1650-1.165238866659631.16523886665963
16601.46217076519963-1.46217076519963
1670-0.1399265017337410.139926501733741
16800.766386753574536-0.766386753574536
1690-0.3504453164932160.350445316493216
17000.745249230153393-0.745249230153393
17101.73410651987234-1.73410651987234
17201.22844366625716-1.22844366625716
17301.05177556369071-1.05177556369071
17403.07788890310552-3.07788890310552
17500.256926383146344-0.256926383146344
17601.31556364608077-1.31556364608077
17700.472377043777413-0.472377043777413
17800.910214908112512-0.910214908112512
17901.29099377607161-1.29099377607161
18002.12857831122803-2.12857831122803
18100.581648787494593-0.581648787494593
18200.544870053678144-0.544870053678144
1830-1.49887283489831.4988728348983
18400.0155759440189081-0.0155759440189081
18500.225504257980437-0.225504257980437
1860-1.187327320886731.18732732088673
18700.0589716332538888-0.0589716332538888
18804.07506310995903-4.07506310995903
18900.0955205214344666-0.0955205214344666
19001.64965228653448-1.64965228653448
19101.2041815561809-1.2041815561809
192014.8095860733371-14.8095860733371
19301.76102561802621-1.76102561802621
1940-3.134824561274213.13482456127421
1950-0.178309586252740.17830958625274
1960-1.110373766318051.11037376631805
1970-0.3092195816454260.309219581645426
19800.262274098111952-0.262274098111952
19900.219016405623333-0.219016405623333
20000.6446893025556-0.6446893025556
20100.688278644636504-0.688278644636504
20200.572853135707386-0.572853135707386
2030-13.419871800611313.4198718006113
2040-0.2486924681484760.248692468148476
2050-2.981212277566722.98121227756672
2060-0.1969167710662250.196916771066225
20700.16099677905357-0.16099677905357
20801.25828195998793-1.25828195998793
20901.3399325036337-1.3399325036337
2100-0.2823333047253570.282333304725357
2110-0.62888954056580.6288895405658
212013.1052438966377-13.1052438966377
21300.746547649730399-0.746547649730399
21401.30316825404546-1.30316825404546
2150-1.334566588471921.33456658847192
21600.901158207595315-0.901158207595315
2170-1.072381683140641.07238168314064
21803.91763528087596-3.91763528087596
21900.107153677115058-0.107153677115058
22000.427538860496715-0.427538860496715
2210-0.4963697392040710.496369739204071
22200.909048119415161-0.909048119415161
2230-0.910990508572160.91099050857216
22400.586502470754504-0.586502470754504
2250-0.1599362875051640.159936287505164
2260-0.9276567499586230.927656749958623
2270-0.2209573650694210.220957365069421
22805.65096896306995-5.65096896306995
22902.73479908373348-2.73479908373348
2300-0.1081521705947710.108152170594771
23101.1908259933222-1.1908259933222
23200.64406758301297-0.64406758301297
2330-0.1676713636984570.167671363698457
2340-7.762304964324617.76230496432461
23500.879140045399436-0.879140045399436
23601.1513432372958-1.1513432372958
2370-0.8307622344374090.830762234437409
2380-1.101326824686511.10132682468651
2390-1.864124643396351.86412464339635
2400-1.875244490162081.87524449016208
24100.0719568864285483-0.0719568864285483
2420-0.02956595876463110.0295659587646311
24300.911459648996354-0.911459648996354
24400.260689431225006-0.260689431225006
24501.13366492204816-1.13366492204816
2460-1.398048765854061.39804876585406
2470-1.053343497593831.05334349759383
24800.560475125211582-0.560475125211582
24900.725157753086509-0.725157753086509
2500-1.25701888324311.2570188832431
2510-1.403139637933491.40313963793349
2520-0.214902725068340.21490272506834
2530-0.03468856094694450.0346885609469445
2540-1.439117671242251.43911767124225
2550-1.17081158112821.1708115811282
25600.808783032121693-0.808783032121693
25700.953881314552223-0.953881314552223
2580-0.5797848337920340.579784833792034
25900.261554667806869-0.261554667806869
26000.652215052380436-0.652215052380436
26100.355071109692348-0.355071109692348
26200.687676796950188-0.687676796950188
26301.42871699083593-1.42871699083593
2640-14.457132875952214.4571328759522
26500.160213068741461-0.160213068741461
2660-2.119967359618042.11996735961804
26701.06745006205463-1.06745006205463
26801.57719092422378-1.57719092422378
26900.851436454245582-0.851436454245582


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.2761699317423280.5523398634846550.723830068257672
100.1485705340133390.2971410680266780.851429465986661
110.0808289371816850.161657874363370.919171062818315
120.1007033527050730.2014067054101460.899296647294927
130.0658562412223330.1317124824446660.934143758777667
140.06894027534664740.1378805506932950.931059724653353
150.06529888288806270.1305977657761250.934701117111937
160.03743845157785610.07487690315571230.962561548422144
170.03262954042603220.06525908085206430.967370459573968
180.02718300479282720.05436600958565450.972816995207173
190.03111871211728320.06223742423456630.968881287882717
200.01843787913976970.03687575827953940.98156212086023
210.01304995812979710.02609991625959420.986950041870203
220.06489699496868150.1297939899373630.935103005031318
230.06743818540893890.1348763708178780.932561814591061
240.05204120124944420.1040824024988880.947958798750556
250.04870027386590370.09740054773180730.951299726134096
260.03749328432625680.07498656865251370.962506715673743
270.03054573796343760.06109147592687520.969454262036562
280.04709562962474190.09419125924948370.952904370375258
290.04817286147515020.09634572295030040.95182713852485
300.04405780067048740.08811560134097480.955942199329513
310.03892117001348820.07784234002697640.961078829986512
320.0350860054598280.07017201091965590.964913994540172
330.02833038989184570.05666077978369150.971669610108154
340.0225059043874620.0450118087749240.977494095612538
350.02161873375415420.04323746750830840.978381266245846
360.02292253788511030.04584507577022050.97707746211489
370.04433098979278620.08866197958557240.955669010207214
380.03785098956858270.07570197913716530.962149010431417
390.03617603018292260.07235206036584510.963823969817077
400.04327662872367780.08655325744735560.956723371276322
410.05349839839824420.1069967967964880.946501601601756
420.1094837896034050.218967579206810.890516210396595
430.17980271660190.35960543320380.8201972833981
440.1656119466367850.331223893273570.834388053363215
450.1359771866384020.2719543732768050.864022813361598
460.1782231943656180.3564463887312350.821776805634382
470.1629834627353450.3259669254706910.837016537264655
480.1430526197920550.286105239584110.856947380207945
490.1191693928459830.2383387856919660.880830607154017
500.1191836425407180.2383672850814370.880816357459282
510.2463062239198570.4926124478397140.753693776080143
520.3165209527585020.6330419055170030.683479047241498
530.296864993608420.593729987216840.70313500639158
540.2696934137740480.5393868275480950.730306586225952
550.2954665618678740.5909331237357470.704533438132126
560.2720596221362720.5441192442725440.727940377863728
570.3556250449100180.7112500898200360.644374955089982
580.3345502574220130.6691005148440270.665449742577987
590.3476528751092130.6953057502184270.652347124890787
600.330307753931380.6606155078627590.66969224606862
610.3908786984079510.7817573968159030.609121301592049
620.5039081152928510.9921837694142970.496091884707149
630.6920411308850250.6159177382299490.307958869114975
640.7667407974037970.4665184051924050.233259202596203
650.7720596454736620.4558807090526770.227940354526338
660.7745727656178330.4508544687643340.225427234382167
670.7752854176570280.4494291646859440.224714582342972
680.8613723391325530.2772553217348940.138627660867447
690.9106815187655420.1786369624689160.089318481234458
700.9321386611388170.1357226777223660.0678613388611831
710.9202839311487970.1594321377024060.0797160688512031
720.9514090453175430.0971819093649130.0485909546824565
730.9593130174817120.08137396503657620.0406869825182881
740.9938173123473450.01236537530531090.00618268765265544
750.9972242981803950.00555140363920950.00277570181960475
760.9975921652535710.004815669492857420.00240783474642871
770.9987044160459520.002591167908095220.00129558395404761
780.9994054088886720.001189182222656280.000594591111328142
790.9998083736832490.0003832526335026630.000191626316751331
800.9998296634516820.000340673096636890.000170336548318445
810.9999791178132344.1764373531682e-052.0882186765841e-05
820.9999828850573133.42298853742589e-051.71149426871294e-05
830.9999854562155312.90875689373383e-051.45437844686692e-05
840.999999997624094.75181973289693e-092.37590986644847e-09
850.9999999987711612.45767893801926e-091.22883946900963e-09
860.9999999999795464.09077303025293e-112.04538651512647e-11
870.9999999999979674.06619937213628e-122.03309968606814e-12
8814.66961375943046e-162.33480687971523e-16
8911.97090864583495e-169.85454322917475e-17
9017.35507095244101e-183.67753547622051e-18
9112.87859548544246e-181.43929774272123e-18
9211.7293862213638e-208.64693110681898e-21
9311.37310602586278e-236.86553012931389e-24
9416.48156317889751e-293.24078158944876e-29
9512.31110817204416e-411.15555408602208e-41
9611.51859309042634e-427.59296545213168e-43
9715.84002970443099e-432.9200148522155e-43
9812.75000595197447e-481.37500297598723e-48
9911.27344669589026e-486.36723347945128e-49
10017.84899763049521e-493.9244988152476e-49
10116.20667397297446e-513.10333698648723e-51
10219.04181111861098e-544.52090555930549e-54
10319.11085546202566e-574.55542773101283e-57
10411.64744169362943e-628.23720846814713e-63
10511.07759980720935e-985.38799903604676e-99
10611.48468371124044e-997.42341855620218e-100
10711.51204342987972e-997.56021714939859e-100
10811.18836864344887e-1405.94184321724434e-141
10918.88965740707498e-3124.44482870353749e-312
110100
111100
112100
113100
114100
115100
116100
117100
118100
119100
120100
121100
122100
123100
124100
125100
126100
127100
128100
129100
130100
131100
132100
133100
134100
135100
136100
137100
138100
139100
140100
141100
142100
143100
144100
145100
146100
147100
148100
149100
150100
151100
152100
153100
154100
155100
156100
157100
158100
159100
160100
161100
162100
163100
164100
165100
166100
167100
168100
169100
170100
171100
172100
173100
174100
175100
176100
177100
178100
179100
180100
181100
182100
183100
184100
185100
186100
187100
188100
189100
190100
191100
192100
193100
194100
195100
196100
197100
198100
199100
200100
201100
202100
203100
204100
205100
206100
207100
208100
209100
210100
211100
212100
213100
214100
215100
216100
217100
218100
219100
220100
221100
222100
223100
224100
225100
226100
227100
228100
229100
230100
231100
232100
233100
234100
235100
236100
237100
238100
239100
240100
241100
242100
243100
244100
245100
246100
247100
248100
249100
250100
251100
252100
253100
254100
255100
256100
257100
258100
259100
260100


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1860.738095238095238NOK
5% type I error level1920.761904761904762NOK
10% type I error level2110.837301587301587NOK