Multiple Linear Regression - Estimated Regression Equation
Tijd[t] = + 37373.4710750585 + 2474.06964580122Gedeelde_compendia[t] + 1507.57998354735Aantal_blogs[t] -814.995735337266Reviews[t] + 682.368131082114`Reviews+120`[t] -13174.2928233111Geslacht[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)37373.471075058514448.0355022.58680.0105460.005273
Gedeelde_compendia2474.069645801221480.6570571.67090.096620.04831
Aantal_blogs1507.57998354735155.814849.675500
Reviews-814.9957353372662612.124445-0.3120.7554280.377714
`Reviews+120`682.368131082114678.8322311.00520.3162590.15813
Geslacht-13174.29282331117351.563939-1.7920.0749480.037474


Multiple Linear Regression - Regression Statistics
Multiple R0.838920877885163
R-squared0.703788239351613
Adjusted R-squared0.694866198368228
F-TEST (value)78.8819778638347
F-TEST (DF numerator)5
F-TEST (DF denominator)166
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation46914.3898222359
Sum Squared Residuals365359355417.19


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1176508212998.722209376-36490.7222093757
2165446171307.53992372-5861.53992371975
3237213206352.11737712130860.8826228792
4133131150955.757965451-17824.7579654508
5324799347600.64781724-22801.6478172404
6236785201594.88133236735190.1186676327
7344297196525.532678087147771.467321913
8174724269947.150136198-95223.1501361976
9174415189507.088722938-15092.0887229384
10223632240896.233643354-17264.233643354
11124817139505.516547842-14688.5165478422
12325107214298.116224751110808.883775249
13717624199.1782517473-17023.1782517473
14265769232408.78068728533360.2193127146
15175824148420.7730937727403.2269062297
16111665141037.481236395-29372.4812363955
17362301201309.557676746160991.442323254
18168809196474.815879592-27665.8158795923
192418841188.2527517625-17000.2527517625
20329267229566.73131606999700.2686839309
21218946191310.20847923527635.7915207649
22244052266248.402223827-22196.4022238274
23341570205860.306395486135709.693604514
24256462267767.418138696-11305.4181386961
25196553143066.08309412553486.9169058747
26174184179242.120529772-5058.12052977237
27187559219840.085408152-32281.0854081525
2873566113513.849387065-39947.8493870654
29182999209412.568833637-26413.5688336372
30152299174023.189957571-21724.1899575714
31346485271431.8936365975053.1063634102
32193339210746.492565425-17407.4925654248
33122774102234.3320061820539.6679938203
34112611130472.657012585-17861.6570125852
35286468164713.293185082121754.706814918
36148446296255.609951541-147809.609951541
37140344131879.0783908228464.92160917769
38220516232949.871008579-12433.8710085789
39243060174325.45023711568734.5497628852
40162765182538.633991995-19773.6339919947
41232138276264.359637603-44126.3596376028
4285574116089.441425322-30515.4414253218
43232317261177.141560552-28860.1415605517
44164709199520.624198071-34811.6241980709
45220801138020.40926030582780.590739695
4692661103828.085637404-11167.0856374044
47133328145548.456848059-12220.4568480588
486136181736.2460956812-20375.2460956812
49100750206080.252424831-105330.252424831
50101523155264.886638847-53741.8866388474
51243511296244.555497108-52733.5554971079
522293841475.1423189784-18537.1423189783
53152474241854.073100074-89380.0731000744
54132487194699.576438635-62212.5764386354
552105430229.4981859368-9175.49818593678
56209641170527.98334782139113.0166521789
574669870193.4962782958-23495.4962782958
58131698150346.668124339-18648.6681243391
59244749234608.94491904310140.0550809572
60272458250455.99722228322002.0027777172
61108043119952.285940892-11909.285940892
62351067315980.03914537435086.9608546265
63229242185692.30373283443549.696267166
6484207124495.422746303-40288.4227463025
65250047119788.171647948130258.828352052
66299775240274.89150116659500.108498834
67173260130224.33842799743035.661572003
689249995666.8919111905-3167.89191119051
697440891216.6138807638-16808.6138807638
70181633150614.1991289931018.80087101
71271856261152.73916580210703.2608341979
7295227129642.636662322-34415.6366623216
73139942147726.986721111-7784.98672111065
747288081680.3570122429-8800.35701224292
756547577474.4274059108-11999.4274059108
7671965102950.59107485-30985.5910748496
77181528101026.26195587580501.7380441246
78134019103490.47927169430528.5207283065
795637579434.5594714686-23059.5594714686
8065490101592.939106624-36102.9391066244
8176302103479.061030116-27177.061030116
82104011118851.585073045-14840.5850730447
833098964283.1835823343-33294.1835823343
8463123110477.072751009-47354.0727510088
8574914119632.707560538-44718.7075605379
8681437105417.576426712-23980.5764267119
876574598823.6934752188-33078.6934752188
8856653113218.32730406-56565.3273040598
8915839993334.100075177965064.8999248221
907362499243.2106466898-25619.2106466898
919189979370.401659385512528.5983406145
92139526106615.43035988832910.5696401118
938667870324.921758101316353.0782418987
94150580103610.48650992146969.5134900785
9599611124166.865752758-24555.8657527575
963170677082.0806652336-45376.0806652336
978980694170.7301692207-4364.73016922073
981976445578.0013110045-25814.0013110045
996418767859.5023178336-3672.50231783359
1007253580459.6665959114-7924.66659591141
101210907191568.37608040619338.6239195939
102120982159919.048755895-38937.0487558947
103385534238574.510638117146959.489361883
104149061135268.09693942113792.9030605789
105230964229399.1534788791564.84652112147
106135473175949.937701788-40476.9377017882
107215147226070.314990663-10923.3149906629
108153935139130.10311768714804.8968823134
109225548200763.78399701224784.2160029877
110210767223754.459778572-12987.4597785723
111170266158109.55459020512156.4454097949
112294424237049.97634090457374.0236590957
11310640883228.088266355723179.9117336443
1149656097336.1963151258-776.196315125791
115149112169112.052423602-20000.0524236017
116152871155712.280812258-2841.2808122579
117183167218102.681784327-34935.6817843271
11810359782105.770729546621491.2292704534
119235800227687.3619654598112.63803454128
120143246174046.861464631-30800.8614646309
121187681238030.65228078-50349.6522807798
122167488168142.448627903-654.44862790257
123143756231683.52200228-87927.5220022805
124243199201990.01048543241208.989514568
125130585175146.342518285-44561.3425182848
126182079260631.731667963-78552.731667963
127265318295010.85992446-29692.8599244603
128310839271812.51238218139026.4876178187
129225060242947.650981095-17887.6509810949
130144966126989.55324800817976.4467519915
1319946696587.72298347742878.27701652255
13210201084182.795899887117827.2041001129
13399923124537.956298217-24614.9562982175
134317394242950.43670688374443.5632931173
1352264845133.2577838225-22485.2577838225
1363141448700.5625266434-17286.5625266434
137128423147033.543132452-18610.5431324518
1389783993468.65406477214370.3459352279
139328107288006.61993667740100.3800633232
140158015155909.0442610462105.95573895351
14112044592517.552804589527927.4471954105
142324598244028.64718897680569.3528110241
143131069140340.941204035-9271.94120403503
144204271209905.250218663-5634.25021866337
145116048121281.579730217-5233.57973021722
146195838234730.168658064-38892.1686580638
147254488287245.565896295-32757.5658962947
148224330277468.110116612-53138.1101166119
149135781104475.48584580731305.5141541927
15081240131010.629887033-49770.6298870331
1519814666184.690594496831961.3094055032
1525919471451.9160265498-12257.9160265498
153118612120356.06529949-1744.06529949014
15413513197030.076638103638100.9233618964
15510844679211.820125129529234.1798748705
15612184896621.977708210225226.0222917898
1578187289899.0735258107-8027.07352581065
1585898171693.9709647601-12712.9709647601
1595351565629.4139955816-12114.4139955817
16098104130071.292965829-31967.2929658292
161135458106246.7551262729211.2448737295
1623177444680.3242249235-12906.3242249235
1635156774434.8794204098-22867.8794204098
164102538116230.369824309-13692.3698243088
1659937366050.497078647233322.5029213528
1668623070453.593578206215776.4064217938
1673083730061.0643216978775.93567830223
16864175101265.92702153-37090.9270215298
1695938272941.8495016291-13559.8495016291
17011930887851.969132564331456.0308674357
1717670292393.9391930127-15691.9391930127
1728410567835.114299427316269.8857005727


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.9948405894537790.01031882109244210.00515941054622106
100.9875756260610840.0248487478778330.0124243739389165
110.9795871283919650.04082574321606950.0204128716080347
120.9902823613114920.0194352773770150.00971763868850748
130.9822563823869920.03548723522601590.0177436176130079
140.9808678804968760.03826423900624830.0191321195031241
150.9719440637360220.0561118725279560.028055936263978
160.9690846663597990.06183066728040270.0309153336402013
170.9980311091922220.003937781615556550.00196889080777827
180.9966141396055740.006771720788852580.00338586039442629
190.9943613678654140.01127726426917290.00563863213458644
200.9979723284742820.004055343051435170.00202767152571758
210.996685838261550.006628323476899310.00331416173844966
220.9961286959756860.007742608048627840.00387130402431392
230.9998362158944070.0003275682111860310.000163784105593016
240.9998202074174580.000359585165083610.000179792582541805
250.9997821639873430.0004356720253137570.000217836012656878
260.9996270582664170.0007458834671665780.000372941733583289
270.9994959985304750.001008002939049310.000504001469524654
280.9993461107724090.001307778455182250.000653889227591123
290.9990299037697680.001940192460464320.000970096230232161
300.9989417376536630.00211652469267340.0010582623463367
310.9992594439245810.001481112150838330.000740556075419165
320.9993954941127640.00120901177447160.000604505887235798
330.9990691579441140.001861684111772590.000930842055886294
340.9986961420215710.002607715956858720.00130385797842936
350.9997950279800440.0004099440399113850.000204972019955693
360.9999958531730058.29365399072924e-064.14682699536462e-06
370.9999926195968851.47608062306248e-057.38040311531241e-06
380.9999873362608112.532747837799e-051.2663739188995e-05
390.9999917030722961.65938554088158e-058.29692770440789e-06
400.9999872123969142.55752061714805e-051.27876030857402e-05
410.9999819013228463.61973543081404e-051.80986771540702e-05
420.9999794310465864.11379068273827e-052.05689534136914e-05
430.9999685147827646.29704344718373e-053.14852172359186e-05
440.9999625893225297.48213549429621e-053.7410677471481e-05
450.9999856772569752.86454860507184e-051.43227430253592e-05
460.999976509139014.69817219802762e-052.34908609901381e-05
470.9999626114677827.47770644365402e-053.73885322182701e-05
480.9999442108346750.0001115783306494215.57891653247107e-05
490.9999920602029321.58795941363477e-057.93979706817384e-06
500.9999930563755781.38872488431371e-056.94362442156854e-06
510.9999931425728841.37148542312098e-056.85742711560488e-06
520.9999889069135152.21861729694422e-051.10930864847211e-05
530.9999967108655446.57826891238488e-063.28913445619244e-06
540.999998347142673.30571466020732e-061.65285733010366e-06
550.9999971663744955.6672510106461e-062.83362550532305e-06
560.999996747799566.50440088059172e-063.25220044029586e-06
570.9999953584546229.2830907551214e-064.6415453775607e-06
580.9999928645026521.42709946951087e-057.13549734755437e-06
590.999988391494082.32170118408994e-051.16085059204497e-05
600.999981883286353.62334272992627e-051.81167136496314e-05
610.9999714098839215.71802321579733e-052.85901160789866e-05
620.9999650245271016.99509457984113e-053.49754728992057e-05
630.9999616738145057.66523709900694e-053.83261854950347e-05
640.999959690408278.06191834602567e-054.03095917301283e-05
650.9999986334683272.7330633454616e-061.3665316727308e-06
660.9999993173447781.36531044357937e-066.82655221789683e-07
670.9999993524417541.29511649235425e-066.47558246177127e-07
680.9999988838112542.23237749254745e-061.11618874627372e-06
690.9999981253019873.74939602637986e-061.87469801318993e-06
700.9999978387481984.32250360375213e-062.16125180187606e-06
710.9999965809855396.8380289220279e-063.41901446101395e-06
720.9999955778242538.84435149351293e-064.42217574675646e-06
730.9999926422174291.47155651413702e-057.3577825706851e-06
740.9999881765011562.36469976870738e-051.18234988435369e-05
750.9999810943315073.78113369854093e-051.89056684927047e-05
760.9999742370535755.15258928499742e-052.57629464249871e-05
770.9999927218024441.45563951122022e-057.27819755610109e-06
780.9999916495274781.67009450445913e-058.35047252229563e-06
790.9999872000771782.55998456445118e-051.27999228222559e-05
800.9999828910966213.42178067583707e-051.71089033791853e-05
810.999975267794164.94644116800499e-052.4732205840025e-05
820.9999616684271047.66631457925812e-053.83315728962906e-05
830.9999497525318560.0001004949362887065.02474681443529e-05
840.999946813604130.0001063727917408015.31863958704005e-05
850.9999418743245010.0001162513509972355.81256754986176e-05
860.9999169747895270.0001660504209469618.30252104734804e-05
870.9998919049161190.0002161901677623590.00010809508388118
880.999916340826310.0001673183473799628.36591736899811e-05
890.9999508971520669.82056958683754e-054.91028479341877e-05
900.9999314141123840.0001371717752320296.85858876160144e-05
910.9998958213143330.0002083573713350290.000104178685667514
920.9998796376778110.0002407246443774060.000120362322188703
930.9998326094348780.0003347811302450230.000167390565122512
940.9998870308376820.000225938324636620.00011296916231831
950.9998299208070020.0003401583859969580.000170079192998479
960.9998011663000210.0003976673999570640.000198833699978532
970.9996958662589940.0006082674820124970.000304133741006248
980.9995851499085170.0008297001829666020.000414850091483301
990.9993733061667850.001253387666429510.000626693833214756
1000.9990642934809540.001871413038092060.000935706519046032
1010.9987071573224480.002585685355103510.00129284267755176
1020.9985489918017760.002902016396448040.00145100819822402
1030.999984210128773.15797424605326e-051.57898712302663e-05
1040.9999759378194614.8124361077423e-052.40621805387115e-05
1050.9999621477500757.57044998496607e-053.78522499248303e-05
1060.9999643403395067.13193209871266e-053.56596604935633e-05
1070.999943242887060.00011351422587955.67571129397501e-05
1080.9999126020191630.0001747959616742378.73979808371184e-05
1090.9998861407160080.0002277185679836670.000113859283991834
1100.9998236291373360.0003527417253287770.000176370862664388
1110.9997602789950390.0004794420099224140.000239721004961207
1120.9998671989393440.0002656021213121320.000132801060656066
1130.9998029954453430.0003940091093148480.000197004554657424
1140.9996851371121020.0006297257757954470.000314862887897724
1150.9995344744910230.0009310510179546310.000465525508977316
1160.9992774275775660.001445144844867210.000722572422433605
1170.999070803936470.00185839212706040.0009291960635302
1180.9986866745186130.002626650962773910.00131332548138696
1190.9980825614586240.003834877082751150.00191743854137558
1200.9975615144546380.004876971090724040.00243848554536202
1210.997830340098890.004339319802219090.00216965990110955
1220.9967367112331080.006526577533783090.00326328876689155
1230.9992844476565950.001431104686810160.000715552343405082
1240.9992896327297030.001420734540594380.000710367270297191
1250.9992570250770540.001485949845892040.000742974922946022
1260.9998610847550130.0002778304899739250.000138915244986963
1270.999790824900240.0004183501995193690.000209175099759684
1280.99981677255370.0003664548925998460.000183227446299923
1290.9996956868991140.0006086262017718750.000304313100885938
1300.99950524282740.0009895143451996390.000494757172599819
1310.9991720944348560.001655811130288780.000827905565144392
1320.9988258912101760.002348217579648220.00117410878982411
1330.9986607425280560.002678514943888470.00133925747194423
1340.9996177691987250.0007644616025492850.000382230801274642
1350.9994377299761310.001124540047737590.000562270023868795
1360.9991370506803890.001725898639222030.000862949319611014
1370.9985561587950680.002887682409864490.00144384120493224
1380.9975682227694380.004863554461123440.00243177723056172
1390.9982972704690190.00340545906196280.0017027295309814
1400.9970999924907260.00580001501854880.0029000075092744
1410.9959551633550930.008089673289813610.0040448366449068
1420.9999042444774540.0001915110450924929.57555225462462e-05
1430.9998056474857520.0003887050284957030.000194352514247851
1440.9997141785949770.0005716428100456070.000285821405022803
1450.9994245572175620.001150885564876070.000575442782438037
1460.9989231150949780.002153769810043020.00107688490502151
1470.9983670246331260.00326595073374740.0016329753668737
1480.9970580023750370.005883995249926510.00294199762496325
1490.9972185916711790.005562816657642350.00278140832882117
1500.9983462460032290.003307507993542460.00165375399677123
1510.9974912246558120.005017550688375080.00250877534418754
1520.9952534015585560.009493196882888930.00474659844144446
1530.9906676817074950.01866463658501030.00933231829250514
1540.9898287968734340.02034240625313210.0101712031265661
1550.986905738939240.02618852212151980.0130942610607599
1560.9837015171367930.03259696572641440.0162984828632072
1570.9683257264446650.06334854711067040.0316742735553352
1580.9411011307882730.1177977384234550.0588988692117273
1590.9047615993271630.1904768013456730.0952384006728366
1600.8685347127796990.2629305744406030.131465287220302
1610.8744794980267320.2510410039465360.125520501973268
1620.8379965177733080.3240069644533840.162003482226692
1630.7861321874996510.4277356250006980.213867812500349


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1350.870967741935484NOK
5% type I error level1460.941935483870968NOK
10% type I error level1490.961290322580645NOK