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Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center


Multiple Linear Regression - Estimated Regression Equation
LFM[t] = + 13.2170503807952 -0.00496323024730048pg[t] + 0.00661990743002855blogs[t] + 1.48120267528336hours[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)13.21705038079521.9381886.819300
pg-0.004963230247300480.001994-2.48880.0139480.006974
blogs0.006619907430028550.0782690.08460.9327130.466357
hours1.481202675283360.1761578.408400


Multiple Linear Regression - Regression Statistics
Multiple R0.750625603827689
R-squared0.563438797121683
Adjusted R-squared0.554406496372477
F-TEST (value)62.3804291692988
F-TEST (DF numerator)3
F-TEST (DF denominator)145
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation11.8229483727053
Sum Squared Residuals20268.4056924301


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
15679.682431401135-23.682431401135
27371.91017976173191.08982023826807
36271.0885425171292-9.08854251712917
44269.1524986550408-27.1524986550408
55962.7181251143173-3.71812511431729
62733.1156612227213-6.11566122272125
75961.1884230254359-2.18842302543592
85659.3256026146217-3.32560261462169
97859.328337770272318.6716622297277
104757.4406127913101-10.4406127913101
115153.4199677209014-2.41996772090137
124757.1572460906142-10.1572460906142
135553.40906169680011.59093830319987
143555.2796689104238-20.2796689104238
154751.5952205754344-4.59522057543438
164854.0669500463953-6.06695004639533
174752.0568485975395-5.05684859753951
185551.93230526475723.06769473524278
194249.9072461121507-7.90724611215067
205450.27125260389073.72874739610925
216053.38815439789466.61184560210543
225148.05825421286112.9417457871389
234746.85334255554470.146657444455277
245246.95759759594165.04240240405843
253844.743969700442-6.74396970044202
264646.8446305995357-0.844630599535713
271246.7023740034494-34.7023740034494
284845.77091618893612.22908381106392
294845.86686743951662.13313256048336
303244.5134942461775-12.5134942461775
312746.4044713677972-19.4044713677972
326045.816670540930614.1833294590694
334744.64867515953492.3513248404651
344743.97032848503223.02967151496784
355846.043356461628111.9566435383719
364742.81010630384414.18989369615586
374541.99282318892143.00717681107859
384841.61730157251286.38269842748717
394241.58750858842730.41249141157274
404144.732485477626-3.73248547762597
414841.85226407782316.1477359221769
426043.802793161109516.1972068388905
435644.902939592323111.0970604076769
444141.0063140663889-0.00631406638889986
455243.27618737049068.7238126295094
465042.55645777292417.44354222707593
474943.88328332353435.11671667646573
484241.65647682488260.343523175117388
493943.4151714200168-4.41517142001678
503943.1752320818574-4.17523208185744
514141.5969452671185-0.596945267118539
524642.02654542924063.97345457075943
533640.9263377863191-4.92633778631905
544940.05451354908318.94548645091692
554837.754888068701110.2451119312989
565540.334036305804914.6659636941951
574540.28939443878274.71060556121725
584840.60158136125857.39841863874153
595238.439290054520813.5607099454792
603937.68322237974841.31677762025156
614540.58342592525734.4165740747427
623238.4123002390948-6.41230023909475
635136.97299747388214.027002526118
644137.26582125717193.73417874282812
655239.97738124547812.022618754522
662238.0946535032675-16.0946535032675
675435.596009031190218.4039909688098
682735.2943440671746-8.29434406717458
694135.98269201648165.01730798351837
704535.51114433518289.48885566481721
715236.498779545289415.5012204547106
725734.407099549588122.5929004504119
734733.293733707417113.7062662925829
744133.26839376787297.73160623212713
754632.98541482946713.014585170533
764334.23457379021468.76542620978538
773132.6049843932182-1.60498439321822
784033.80107527371146.19892472628855
792432.9573669394757-8.95736693947567
803031.8869658832415-1.88696588324149
814532.746730803598612.2532691964014
823232.8873579277057-0.887357927705723
834633.024644492243912.9753555077561
84931.9460076592022-22.9460076592022
854431.348736147139912.6512638528601
863231.51922426834150.480775731658529
873733.28775690705873.71224309294125
886432.347981700127431.6520182998726
892129.7964119751143-8.79641197511428
902030.5971555234133-10.5971555234133
913330.18854117115542.81145882884456
922629.3513915326417-3.35139153264173
933627.82548577862838.17451422137175
943327.8271424558115.17285754418902
952029.3789768460333-9.3789768460333
963129.78264837194651.21735162805351
971329.5014281302366-16.5014281302366
983529.38559675346335.61440324653667
992428.9334190126512-4.93341901265125
1004026.938200453236513.0617995467635
1011928.7348762001575-9.73487620015746
1021527.1813987353542-12.1813987353542
1033428.19057074883635.80942925116375
1043227.71249837831974.28750162168025
1055828.739866635608329.2601333643917
1062128.7696732222956-7.76967322229563
1073126.63331735306774.36668264693227
1082127.1742686422182-6.17426864221818
1092626.8004173055941-0.800417305594097
1104726.792120317078720.2078796829213
1113726.782173452681410.2178265473186
1122825.61367468688072.38632531311934
113925.6070207729462-16.6070207729462
1144524.428656758358820.5713432416412
1153223.52033801399668.47966198600338
1163524.665167120037710.3348328799624
1172924.10434250599534.89565749400466
118123.9290407831659-22.9290407831659
1192023.7353999892115-3.7353999892115
1201523.9868476507384-8.98684765073845
1211123.0698169503673-12.0698169503673
1223322.689311699808710.3106883001913
1231822.7604467991528-4.76044679915279
1241022.1065149109947-12.1065149109947
1254121.466169792181519.5338302078185
1261020.4382981504878-10.4382981504878
127020.4879236516599-20.4879236516599
1282818.34330480042119.65669519957895
1293119.382256195386911.6177438046131
1302419.11424856333364.88575143666641
1313819.486484030580218.5135159694198
132019.464994836311-19.464994836311
1332519.42858194479545.57141805520464
1344018.876006710162321.1239932898377
135418.5517604708077-14.5517604708077
1362319.3028513127313.69714868726899
1371317.940759362082-4.94075936208198
138617.6975610799643-11.6975610799643
139016.9906223232598-16.9906223232598
140316.6382397770023-13.6382397770023
141015.0329495442356-15.0329495442356
142714.8493100250854-7.84931002508544
143215.5540887202021-13.5540887202021
144014.4919574472798-14.4919574472798
145015.9610736004808-15.9610736004808
146014.5741722998961-14.5741722998961
147014.1820771103594-14.1820771103594
148514.006714175822-9.00671417582201
149013.162454848075-13.162454848075


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.3250746357817980.6501492715635970.674925364218202
80.3716077824389080.7432155648778150.628392217561092
90.8001764321363070.3996471357273860.199823567863693
100.7254024371469150.5491951257061710.274597562853085
110.6521432041124550.695713591775090.347856795887545
120.5988033032948960.8023933934102080.401196696705104
130.5087370379754650.982525924049070.491262962024535
140.6940787934491630.6118424131016740.305921206550837
150.6165197595374610.7669604809250790.38348024046254
160.5407320687200330.9185358625599350.459267931279967
170.4643142292869670.9286284585739340.535685770713033
180.3896283872330720.7792567744661440.610371612766928
190.3384105044491020.6768210088982040.661589495550898
200.2806829431946490.5613658863892970.719317056805352
210.2525160049248740.5050320098497480.747483995075126
220.2025690064739990.4051380129479980.797430993526001
230.1554853276236110.3109706552472220.844514672376389
240.1175542253073590.2351084506147180.882445774692641
250.1070445293560520.2140890587121040.892955470643948
260.08419373361860820.1683874672372160.915806266381392
270.5710598031430790.8578803937138420.428940196856921
280.5242731946437510.9514536107124980.475726805356249
290.4732286737833940.9464573475667880.526771326216606
300.500604314038130.998791371923740.49939568596187
310.6283642320981180.7432715358037630.371635767901882
320.6753957456830150.6492085086339710.324604254316985
330.6296485179966060.7407029640067880.370351482003394
340.5839985443558010.8320029112883980.416001455644199
350.5915497664964260.8169004670071480.408450233503574
360.5425483745155550.9149032509688910.457451625484445
370.4918090202909020.9836180405818050.508190979709098
380.4480200310904920.8960400621809830.551979968909508
390.4007680717045590.8015361434091180.599231928295441
400.3746433952029590.7492867904059170.625356604797041
410.3318257557971330.6636515115942650.668174244202867
420.3619518452907710.7239036905815420.638048154709229
430.343480784555380.6869615691107610.65651921544462
440.3032911341276540.6065822682553070.696708865872346
450.2690234461099850.5380468922199710.730976553890015
460.2342524278206490.4685048556412970.765747572179351
470.1988139033564320.3976278067128640.801186096643568
480.1706485189980450.341297037996090.829351481001955
490.1557098196578380.3114196393156770.844290180342162
500.1448123101068230.2896246202136470.855187689893177
510.1235986148796910.2471972297593820.876401385120309
520.101227537435850.2024550748716990.89877246256415
530.1024798332060980.2049596664121960.897520166793902
540.08614699682153230.1722939936430650.913853003178468
550.0729196400962910.1458392801925820.927080359903709
560.07147152483357090.1429430496671420.928528475166429
570.05827033077839670.1165406615567930.941729669221603
580.04640187231398370.09280374462796740.953598127686016
590.04128731915636890.08257463831273780.958712680843631
600.03374449641699580.06748899283399170.966255503583004
610.02570340688434660.05140681376869310.974296593115653
620.03056922224584920.06113844449169830.969430777754151
630.02739266567426840.05478533134853680.972607334325732
640.02088839903088590.04177679806177190.979111600969114
650.01706369156584360.03412738313168720.982936308434156
660.05152910458853120.1030582091770620.948470895411469
670.05473023025007320.1094604605001460.945269769749927
680.08230462664073430.1646092532814690.917695373359266
690.06695070339776170.1339014067955230.933049296602238
700.05401634388991330.1080326877798270.945983656110087
710.0489395119730470.09787902394609410.951060488026953
720.06091793724314490.121835874486290.939082062756855
730.05564089225013570.1112817845002710.944359107749864
740.04430463900286510.08860927800573010.955695360997135
750.0355065718704110.0710131437408220.964493428129589
760.02816940224935210.05633880449870410.971830597750648
770.02530021068169250.0506004213633850.974699789318308
780.01918397633074410.03836795266148830.980816023669256
790.02562255464409310.05124510928818610.974377445355907
800.02256471985625970.04512943971251950.97743528014374
810.01861098779856620.03722197559713230.981389012201434
820.01585248922938850.03170497845877710.984147510770611
830.01258589928563050.02517179857126110.98741410071437
840.06430838623916320.1286167724783260.935691613760837
850.05343398062593230.1068679612518650.946566019374068
860.0437533135060010.08750662701200210.956246686493999
870.03442804211305550.0688560842261110.965571957886944
880.08501489120289880.1700297824057980.914985108797101
890.1002885952618040.2005771905236070.899711404738196
900.1205966476078420.2411932952156850.879403352392158
910.09910344733246460.1982068946649290.900896552667535
920.09094486922180730.1818897384436150.909055130778193
930.07260226843575560.1452045368715110.927397731564244
940.05761343268103750.1152268653620750.942386567318962
950.06999587797784160.1399917559556830.930004122022158
960.05706385174903330.1141277034980670.942936148250967
970.1002403145248690.2004806290497390.899759685475131
980.08002754109174980.16005508218350.91997245890825
990.07761067536736120.1552213507347220.922389324632639
1000.06587299660350240.1317459932070050.934127003396498
1010.09106006904461270.1821201380892250.908939930955387
1020.1383602852425710.2767205704851420.861639714757429
1030.1163168079498440.2326336158996880.883683192050156
1040.09325995424959690.1865199084991940.906740045750403
1050.1873857040793720.3747714081587440.812614295920628
1060.1830398876484880.3660797752969760.816960112351512
1070.1504828816393980.3009657632787960.849517118360602
1080.1610343945997720.3220687891995440.838965605400228
1090.1353316003314050.270663200662810.864668399668595
1100.1539509840274650.307901968054930.846049015972535
1110.1261075443754870.2522150887509740.873892455624513
1120.1006782316969350.2013564633938710.899321768303065
1130.2320331833507790.4640663667015590.767966816649221
1140.4913344888494750.982668977698950.508665511150525
1150.4549564411068710.9099128822137420.545043558893129
1160.406347910665550.81269582133110.59365208933445
1170.3590624581286590.7181249162573170.640937541871341
1180.3910795130309810.7821590260619620.608920486969019
1190.364133006442690.728266012885380.63586699355731
1200.5110388667115470.9779222665769050.488961133288453
1210.6328477451419440.7343045097161120.367152254858056
1220.5837611077031720.8324777845936560.416238892296828
1230.5992353121951030.8015293756097950.400764687804897
1240.8293340952638950.341331809472210.170665904736105
1250.7908869096074520.4182261807850960.209113090392548
1260.7505426895366070.4989146209267870.249457310463393
1270.8616713695844610.2766572608310770.138328630415539
1280.9403631509440440.1192736981119130.0596368490559563
1290.9175234185551690.1649531628896620.082476581444831
1300.8939043457260430.2121913085479150.106095654273957
1310.9266425042348840.1467149915302320.0733574957651158
1320.917391300441880.1652173991162410.0826086995581204
1330.8856414049805560.2287171900388880.114358595019444
1340.9957215313539870.008556937292026050.00427846864601303
1350.9983549799208650.003290040158270020.00164502007913501
1360.9995057675311260.0009884649377480660.000494232468874033
1370.9999262004870720.0001475990258553327.3799512927666e-05
1380.9998685458660030.0002629082679928660.000131454133996433
1390.9994083289007930.001183342198414130.000591671099207067
1400.9981903743114020.003619251377195120.00180962568859756
1410.9938054233162350.01238915336753090.00619457668376544
1420.9992595328681850.001480934263629370.000740467131814684


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level80.0588235294117647NOK
5% type I error level160.117647058823529NOK
10% type I error level300.220588235294118NOK












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