Multiple Linear Regression - Estimated Regression Equation
Pageviews[t] = -16.4185633296183 + 0.00153507997616715time[t] + 4.33057942020698logins[t] + 2.27553622690808compendiumviews[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-16.418563329618316.99669-0.9660.3357170.167858
time0.001535079976167150.0005292.90450.0042770.002138
logins4.330579420206980.7739325.595600
compendiumviews2.275536226908080.14035816.212400


Multiple Linear Regression - Regression Statistics
Multiple R0.972174422603544
R-squared0.945123107964535
Adjusted R-squared0.943947174563775
F-TEST (value)803.721628583498
F-TEST (DF numerator)3
F-TEST (DF denominator)140
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation106.257150902458
Sum Squared Residuals1580681.4965071


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1829815.31835358308313.6816464169171
2538546.040686247713-8.04068624771247
3186227.504556606442-41.5045566064418
414051208.7986927047196.201307295303
519472093.06702044502-146.067020445019
635342980.31710379628553.682896203724
7811853.480053245492-42.4800532454917
8609547.93821780934761.0617821906529
91151909.298281340657241.701718659343
1017791892.84387676804-113.84387676804
11834815.11579250605618.8842074939441
1212111180.0487259046430.9512740953589
138971094.49721129962-197.497211299617
1415741561.2289985300412.771001469958
15688649.96261579493438.037384205066
16854971.490777095526-117.490777095526
17848664.349132359922183.650867640078
18324287.53015039039336.4698496096075
1916021451.6021101855150.397889814497
20412358.53968129874353.4603187012574
21618725.098504999611-107.098504999611
2212441144.4841732965899.5158267034237
23616690.582600302535-74.582600302535
241107929.518325656586177.481674343414
2510791154.03971771145-75.0397177114532
26611638.675919500403-27.6759195004028
2711881413.64110143988-225.641101439883
28618645.359947432365-27.3599474323646
2913921527.23523479142-135.23523479142
3011891327.17791781237-138.177917812371
31752694.4902581929257.5097418070807
3210551065.46217923233-10.4621792323255
3310441043.14167054390.858329456102249
34580581.576931754457-1.57693175445733
3511161112.564946848183.43505315181911
360-16.418563329618216.4185633296182
37626858.023558326136-232.023558326136
3811831056.99708037008126.002919629922
391016604.613131989373411.386868010627
4010761161.86978726214-85.869787262143
4110611026.9351738779134.0648261220855
42680804.534173150343-124.534173150343
43404415.624905645158-11.6249056451576
4410261179.01123110622-153.011231106217
45643686.195136457962-43.195136457962
46415480.169481777016-65.1694817770156
47328293.02247984124934.9775201587509
489601114.14160955716-154.141609557161
49769822.513936948403-53.5139369484027
5010661135.00010400104-69.0001040010355
51425415.6536031396379.34639686036311
52696641.66123035659254.338769643408
5310201295.94546870435-275.945468704355
548901025.14844859296-135.148448592961
559161017.47512850169-101.475128501687
56898859.42274438583238.5772556141679
57696650.45954203169345.5404579683073
58383338.24624166984644.753758330154
59566678.367421010541-112.367421010541
60548556.582151771933-8.582151771933
61457439.89811179303917.1018882069607
62782843.033505570911-61.0335055709107
63535521.21750977839813.7824902216016
64475456.58122060512318.4187793948766
65374386.631201975035-12.6312019750351
66771746.18927588687824.8107241131224
671140939.328156206605200.671843793395
6815021236.18066444127265.819335558733
69500433.89823392907166.1017660709292
7082102.514357814226-20.514357814226
7115691583.14920138817-14.1492013881667
72568562.2048472059675.79515279403259
73606711.472573436145-105.472573436145
74918817.967354139123100.032645860877
75833808.0868420137724.9131579862301
76460402.45563045275957.5443695472414
77685666.75290567223918.2470943277613
78888916.13689612808-28.1368961280794
79410344.91947194112465.0805280588765
80615731.913917664252-116.913917664252
81447407.28202970513339.7179702948668
82650794.294992005305-144.294992005305
83545489.65666958968355.3433304103171
84830848.912167603812-18.9121676038121
85515537.798621445617-22.7986214456165
86853783.7908933966969.2091066033103
8713121281.993811266530.0061887335025
88400373.10968682814726.8903131718531
89404453.502109349272-49.502109349272
90639602.27841250247636.7215874975235
91773824.674476560713-51.6744765607127
921075992.5149471352782.48505286473
93510576.756900800726-66.7569008007256
94573660.862054040816-87.8620540408165
95434531.676582131761-97.6765821317614
9612941417.79762137634-123.79762137634
97718722.838140437279-4.8381404372785
98222213.3809999543588.61900004564184
99880924.528107507433-44.5281075074325
100816973.547088623778-157.547088623778
101305327.064311790117-22.0643117901166
102425391.20835243903233.7916475609681
103578638.134506703129-60.1345067031292
104306301.6350236943754.36497630562487
105367291.79481540555675.2051845944442
106463423.70151231404839.2984876859518
107520429.20843180166390.7915681983367
108294241.83495707875152.1650429212492
1090-16.418563329618216.4185633296182
110566435.570631882333130.429368117667
111463499.181890169412-36.181890169412
112630566.23924723206363.7607527679374
113632599.79234968937532.2076503106249
114462592.366911660958-130.366911660958
115387.8735651452369430.1264348547631
1160-16.418563329618216.4185633296182
117592681.420793693109-89.4207936931093
118631704.514751763396-73.5147517633961
119925881.82500112275943.1749988772415
120441513.680169849439-72.6801698494393
121778796.95684567689-18.9568456768903
122797747.7769772576249.2230227423806
123469437.95600878903931.0439912109606
124639521.248340966092117.751659033908
125484416.23516083572567.7648391642747
126214174.77054637431639.2294536256842
127696656.95570140361739.044298596383
128492524.541243240642-32.5412432406418
129638621.07395351153216.926046488468
130256220.43181677685135.5681832231492
1318086.8225326829665-6.82253268296651
132587671.849929676073-84.8499296760725
1334132.09788014407038.90211985592974
134497564.059116009872-67.0591160098722
1354218.082931610474723.9170683895253
136340326.70706705045913.2929329495414
1370-16.418563329618216.4185633296182
138395460.383818978777-65.3838189787768
139226193.42835129221832.5716487077824
1408173.28988778777587.71011221222416
1416169.5134428894168-8.51344288941674
142313273.88340200501639.1165979949839
143239229.3091950597569.69080494024413
144462497.889451658855-35.8894516588552


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.729376275505050.5412474489899010.270623724494951
80.6990292754405990.6019414491188020.300970724559401
90.992121002485710.01575799502857950.00787899751428976
100.9985608939135270.002878212172945520.00143910608647276
110.9970794998900030.005841000219994550.00292050010999727
120.9950570930766720.00988581384665530.00494290692332765
130.9990758440888370.001848311822326090.000924155911163045
140.9992527569360230.001494486127953860.000747243063976932
150.9986278308749450.002744338250109640.00137216912505482
160.9983193620355330.003361275928934960.00168063796446748
170.9991079866653470.001784026669306750.000892013334653377
180.9987678855088820.002464228982236360.00123211449111818
190.9998329089614780.0003341820770429890.000167091038521494
200.999836255200790.0003274895984189160.000163744799209458
210.9998007213254790.0003985573490428060.000199278674521403
220.9997480227625780.0005039544748446380.000251977237422319
230.9996199521400630.0007600957198733830.000380047859936691
240.9998981229611930.0002037540776133960.000101877038806698
250.9998767610682550.0002464778634891050.000123238931744553
260.9997891266298820.0004217467402361720.000210873370118086
270.9999755601525824.88796948353015e-052.44398474176508e-05
280.999959830832228.03383355613044e-054.01691677806522e-05
290.9999957228540628.55429187591715e-064.27714593795858e-06
300.9999975789630034.84207399450705e-062.42103699725352e-06
310.9999962911284387.41774312300414e-063.70887156150207e-06
320.9999939511422881.20977154246929e-056.04885771234644e-06
330.9999888395120212.23209759575506e-051.11604879787753e-05
340.999980262032063.94759358804284e-051.97379679402142e-05
350.9999674346540966.51306918070953e-053.25653459035477e-05
360.9999488787194750.0001022425610502015.11212805251007e-05
370.9999913933281041.72133437926746e-058.6066718963373e-06
380.9999939978587661.20042824681825e-056.00214123409124e-06
390.9999999997258295.48342054451269e-102.74171027225634e-10
400.9999999996089677.82065232858908e-103.91032616429454e-10
410.9999999993799721.24005531346332e-096.20027656731659e-10
420.9999999994808981.03820461641209e-095.19102308206043e-10
430.999999998863882.27223844399563e-091.13611922199781e-09
440.9999999994331151.13376991664606e-095.66884958323028e-10
450.999999998861732.27653870728203e-091.13826935364102e-09
460.9999999983115243.37695183462245e-091.68847591731123e-09
470.9999999967826636.43467306678385e-093.21733653339192e-09
480.9999999981610373.67792659483786e-091.83896329741893e-09
490.999999996689086.62184026834732e-093.31092013417366e-09
500.999999994571851.08563019812489e-085.42815099062444e-09
510.999999988988252.20234978985561e-081.10117489492781e-08
520.9999999823871543.522569223316e-081.761284611658e-08
530.9999999995636748.72651806982666e-104.36325903491333e-10
540.9999999996719356.56130865091177e-103.28065432545589e-10
550.9999999996068487.86303400730708e-103.93151700365354e-10
560.999999999280261.43947858528738e-097.1973929264369e-10
570.9999999988030442.39391287254707e-091.19695643627354e-09
580.999999997844094.31181916864047e-092.15590958432023e-09
590.9999999980912923.8174164062075e-091.90870820310375e-09
600.9999999961516097.6967830954837e-093.84839154774185e-09
610.9999999922475151.55049698500862e-087.75248492504308e-09
620.9999999897353712.05292576089287e-081.02646288044643e-08
630.999999979564834.08703415244906e-082.04351707622453e-08
640.999999960663377.86732586773041e-083.93366293386521e-08
650.9999999223346011.55330797027269e-077.76653985136344e-08
660.999999857604392.8479122032884e-071.4239561016442e-07
670.999999987817552.43649013788616e-081.21824506894308e-08
680.999999999984413.11822616243542e-111.55911308121771e-11
690.9999999999771074.57870225873504e-112.28935112936752e-11
700.99999999995568.87978042675766e-114.43989021337883e-11
710.999999999922021.55961361722597e-107.79806808612986e-11
720.9999999998236083.52783115184374e-101.76391557592187e-10
730.9999999998456653.08670444925856e-101.54335222462928e-10
740.9999999999267611.46477827072092e-107.3238913536046e-11
750.9999999998795342.40932275286741e-101.2046613764337e-10
760.9999999998119443.76111435132175e-101.88055717566088e-10
770.9999999996104247.79152280769157e-103.89576140384578e-10
780.999999999149461.70108140760834e-098.50540703804171e-10
790.9999999987503152.4993693862512e-091.2496846931256e-09
800.9999999989846852.03063051480199e-091.01531525740099e-09
810.99999999798454.03099838241067e-092.01549919120534e-09
820.9999999992976791.40464248805297e-097.02321244026483e-10
830.9999999989673242.06535181002839e-091.03267590501419e-09
840.9999999977336844.53263299862967e-092.26631649931484e-09
850.9999999950201349.95973214539e-094.979866072695e-09
860.9999999958780158.24396987393273e-094.12198493696636e-09
870.9999999961572897.68542207360178e-093.84271103680089e-09
880.9999999924759441.50481129294862e-087.52405646474312e-09
890.9999999868074482.63851036870881e-081.3192551843544e-08
900.9999999769827444.60345111014238e-082.30172555507119e-08
910.999999955119858.97603016044486e-084.48801508022243e-08
920.9999999904644771.90710469146909e-089.53552345734545e-09
930.9999999858958382.8208323854202e-081.4104161927101e-08
940.999999980639543.87209197434196e-081.93604598717098e-08
950.999999980318483.93630423647222e-081.96815211823611e-08
960.9999999713181325.73637356377971e-082.86818678188986e-08
970.9999999350357951.29928410166601e-076.49642050833007e-08
980.9999998576178952.84764210670902e-071.42382105335451e-07
990.9999996998438016.00312397473028e-073.00156198736514e-07
1000.9999998995034172.00993165580683e-071.00496582790342e-07
1010.9999998015714433.968571140301e-071.9842855701505e-07
1020.99999958339228.33215602147838e-074.16607801073919e-07
1030.9999992895121521.42097569585786e-067.10487847928929e-07
1040.9999984547688353.09046232930646e-061.54523116465323e-06
1050.9999981385126323.72297473538034e-061.86148736769017e-06
1060.999996424829717.15034058066258e-063.57517029033129e-06
1070.9999969339410776.13211784535752e-063.06605892267876e-06
1080.9999949637001961.00725996071393e-055.03629980356967e-06
1090.999989376626792.1246746420478e-051.0623373210239e-05
1100.9999968832982146.23340357102679e-063.1167017855134e-06
1110.9999936705465081.26589069832771e-056.32945349163853e-06
1120.9999930785194541.38429610910872e-056.92148054554361e-06
1130.9999882934840062.3413031988399e-051.17065159941995e-05
1140.9999986013330232.79733395463885e-061.39866697731942e-06
1150.999996591690616.8166187784745e-063.40830938923725e-06
1160.9999917400456711.65199086573028e-058.25995432865139e-06
1170.9999910004450371.79991099263574e-058.99955496317872e-06
1180.9999912400190651.75199618703961e-058.75998093519805e-06
1190.9999792712166684.14575666632989e-052.07287833316494e-05
1200.9999851546713622.96906572767039e-051.4845328638352e-05
1210.9999631985856747.36028286516163e-053.68014143258081e-05
1220.9999419383881240.0001161232237528445.80616118764219e-05
1230.9998711086522540.0002577826954920220.000128891347746011
1240.999986028324212.79433515806387e-051.39716757903194e-05
1250.999996269900747.46019852151022e-063.73009926075511e-06
1260.9999923250798661.5349840267817e-057.67492013390852e-06
1270.9999965131878986.9736242031113e-063.48681210155565e-06
1280.999986916385972.61672280586266e-051.30836140293133e-05
1290.999990670647871.86587042585658e-059.32935212928292e-06
1300.9999824345606533.51308786932422e-051.75654393466211e-05
1310.9999400252455080.0001199495089835335.99747544917665e-05
1320.999794478521040.0004110429579216870.000205521478960844
1330.9993005407280.001398918543999220.000699459271999612
1340.9985355345710140.002928930857972990.0014644654289865
1350.994581799348730.01083640130254080.00541820065127041
1360.9809768190988650.03804636180227010.0190231809011351
1370.9496027235720610.1007945528558770.0503972764279386


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1250.954198473282443NOK
5% type I error level1280.977099236641221NOK
10% type I error level1280.977099236641221NOK