Multiple Linear Regression - Estimated Regression Equation
HOF[t] = + 108.897508244835 -0.0161534809472837total_pageviews[t] -6.39315458098368e-06number_logins[t] -0.371092106793346total_time[t] -0.0528702119627776total_coursecompendiumviews[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)108.8975082448355.91644118.405900
total_pageviews-0.01615348094728370.027389-0.58980.5562950.278148
number_logins-6.39315458098368e-060.000166-0.03850.9693770.484688
total_time-0.3710921067933460.275574-1.34660.1802970.090148
total_coursecompendiumviews-0.05287021196277760.077083-0.68590.4939250.246963


Multiple Linear Regression - Regression Statistics
Multiple R0.523014985732201
R-squared0.273544675300454
Adjusted R-squared0.252639486100467
F-TEST (value)13.0850131363855
F-TEST (DF numerator)4
F-TEST (DF denominator)139
p-value4.52163850805931e-09
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation36.0611604664241
Sum Squared Residuals180756.613891741


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1161.1849465143557-60.1849465143557
2281.9144216023049-79.9144216023049
3395.8376028584858-92.8376028584858
4442.1758897963222-38.1758897963222
555.28718352762902-0.287183527629016
66-49.179828811483755.1798288114837
7766.2719219212963-59.2719219212963
8877.2656844013428-69.2656844013428
9960.6634266641416-51.6634266641416
101021.3565099403783-11.3565099403783
111167.8210714189672-56.8210714189672
121250.7307525466911-38.7307525466911
131347.4229739589727-34.4229739589727
141428.9583244287924-14.9583244287924
151575.5305242472444-60.5305242472444
161662.5409426844075-46.5409426844075
171768.3998364453477-51.3998364453477
181890.989121062006-72.989121062006
191936.4044288594593-17.4044288594593
202085.7861304385405-65.7861304385405
212172.011929601602-51.011929601602
222249.5864750314944-27.5864750314944
232370.9549707643388-47.9549707643388
242460.4526827497602-36.4526827497602
252551.3728750466307-26.3728750466307
262681.2012746426861-55.2012746426861
272731.593566494381-4.59356649438104
282867.1520270201946-39.1520270201946
292931.5333690559636-2.53336905596364
303052.0178816929979-22.0178816929979
313173.6332409991931-42.6332409991931
323262.3744379169222-30.3744379169222
333350.3808390880977-17.3808390880977
343475.2641098152131-41.2641098152131
353553.228451826963-18.228451826963
3636108.897508244835-72.8975082448351
373767.9071457644746-30.9071457644746
383857.3109018349204-19.3109018349204
393970.2528633734488-31.2528633734488
404056.5814261760761-16.5814261760761
414159.3452018461213-18.3452018461213
424270.0783674442305-28.0783674442305
434390.2604316406909-47.2604316406909
444451.828381472954-7.82838147295403
454574.9294934833074-29.9294934833074
464676.9489766918322-30.9489766918322
474792.6517346051763-45.6517346051763
484852.6572911895911-4.65729118959112
494963.6651562088623-14.6651562088623
505054.0333014831764-4.03330148317637
515184.2343140485168-33.2343140485168
525273.9684245593111-21.9684245593111
535350.68623401741122.31376598258884
545459.9375822962366-5.93758229623656
555559.9299126389738-4.92991263897382
565665.600314074464-9.60031407446404
575773.3839650672908-16.3839650672908
585889.8931353866527-31.8931353866527
595974.1803895739589-15.1803895739589
606078.2609048409654-18.2609048409654
616184.5547248655753-23.5547248655753
626266.1951598606074-4.19515986060739
636383.0893355101722-20.0893355101722
646486.2204124370905-22.2204124370905
656589.0891161626583-24.0891161626583
666672.4978589707704-6.49785897077036
676757.59236211541389.40763788458622
686835.988935937818132.0110640621819
696984.247371892699-15.247371892699
707099.6711074247819-29.6711074247819
717128.894078626968842.1059213730312
727276.2866867953408-4.28668679534077
737372.9317200350280.0682799649720102
747465.29254803015498.70745196984508
757570.99596340161984.00403659838024
767685.8788944330296-9.87889443302957
777770.98160938223636.01839061776371
787860.602304027750417.3976959722496
797989.0726185272441-10.0726185272441
808073.38483250356936.61516749643069
818181.1702103118585-0.170210311858532
828266.339545311078415.6604546889216
838384.5024790104576-1.50247901045759
848468.361015533700815.6389844662992
858581.41943950735413.58056049264586
868668.790058905034517.2099410949655
878728.514487907193958.4855120928061
888880.53218879335987.46781120664023
898983.54399636943455.45600363056553
909079.813204780972910.1867952190271
919171.298511167886519.7014888321135
929251.676280442210340.3237195577897
939378.389587431133114.6104125688669
949476.441447948277317.5585520517227
959583.312671959064511.6873280409355
969638.967858669833857.0321413301662
979773.642634601484223.3573653985158
989897.56341695031770.436583049682278
999956.059913528829642.9400864711704
10010064.149559205181735.8504407948183
10110191.56819730666589.43180269333423
10210290.332559518409711.6674404815903
10310370.38896520616532.611034793835
10410489.476006674190514.5239933258095
10510588.099621238565116.9003787614348
10610688.399963750963417.6000362490366
10710786.43951342695920.560486573041
10810890.583525296110917.4164747038891
109109108.8975082448350.102491755164938
11011085.474107336175924.5258926638241
11111181.019155871848229.9808441281518
11211278.333810809131233.6661891908688
11311376.06088380809336.939116191907
11411476.979289850735537.0207101492645
115115106.7268870629938.27311293700653
116116108.8975082448357.10249175516494
11711779.062668564143737.9373314358563
11811869.388486261902748.6115137380973
11911956.745115603455562.2548843965445
12012082.772867502024937.2271324979751
12112173.563721305283247.4362786947168
12212268.022421444175453.9775785558246
12312385.483443048839837.5165569511602
12412477.705620442912846.2943795570872
12512586.937352941469638.0626470585304
12612695.749040688992230.2509593110078
12712769.70370606967457.296293930326
12812882.812555389708645.1874446102914
12912977.546067103984851.4539328960152
13013097.170227764693632.8297722353064
131131103.26597702564727.734022974353
13213275.867942939911956.1320570600881
133133106.4966632693126.5033367306898
13413481.423712404497952.5762875955021
135135106.75584428774728.244155712253
13613692.254374447661343.7456255523387
137137108.89750824483528.1024917551649
13813885.991916057956752.0080839420433
13913996.218355533206942.7816444667931
140140104.6316225526235.3683774473803
141141103.06313687453237.9368631254676
14214294.901938012521547.0980619874785
14314390.478747900881152.5212520991189
14414483.911959180422460.0880408195776


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.001115247575313060.002230495150626110.998884752424687
99.69124996634808e-050.0001938249993269620.999903087500337
107.90663165079272e-061.58132633015854e-050.999992093368349
112.75619097124033e-065.51238194248066e-060.999997243809029
125.94355623412773e-071.18871124682555e-060.999999405644377
131.31857370139661e-062.63714740279322e-060.999998681426299
142.4322377500371e-074.8644755000742e-070.999999756776225
151.14851648913566e-072.29703297827131e-070.999999885148351
164.90475000907427e-089.80950001814855e-080.9999999509525
173.25981748503224e-086.51963497006449e-080.999999967401825
182.2375419969195e-084.47508399383899e-080.99999997762458
195.17046934395444e-091.03409386879089e-080.999999994829531
201.84803306327929e-093.69606612655858e-090.999999998151967
211.98469871600648e-093.96939743201297e-090.999999998015301
222.57610418748778e-095.15220837497556e-090.999999997423896
231.39006013094224e-092.78012026188449e-090.99999999860994
244.91890715867502e-109.83781431735004e-100.999999999508109
256.96557256346625e-101.39311451269325e-090.999999999303443
263.976000294208e-107.952000588416e-100.9999999996024
273.55964902040279e-097.11929804080559e-090.999999996440351
286.42212611469939e-091.28442522293988e-080.999999993577874
294.11470158109174e-098.22940316218349e-090.999999995885298
302.28851316037694e-094.57702632075388e-090.999999997711487
313.54095808786317e-097.08191617572634e-090.999999996459042
322.62776399421916e-095.25552798843831e-090.999999997372236
335.4866120697733e-091.09732241395466e-080.999999994513388
341.18248736559438e-082.36497473118877e-080.999999988175126
351.08357811859646e-082.16715623719292e-080.999999989164219
362.68760660250172e-085.37521320500344e-080.999999973123934
372.62090954701577e-085.24181909403154e-080.999999973790905
384.10064164997298e-088.20128329994597e-080.999999958993584
399.70739094710611e-081.94147818942122e-070.999999902926091
401.07607633758448e-072.15215267516895e-070.999999892392366
411.46352004638416e-072.92704009276831e-070.999999853647995
421.60562489702126e-073.21124979404251e-070.99999983943751
433.02470015756603e-076.04940031513205e-070.999999697529984
443.79702265270413e-077.59404530540826e-070.999999620297735
457.47463754857271e-071.49492750971454e-060.999999252536245
462.17282236683723e-064.34564473367445e-060.999997827177633
475.24947698424185e-061.04989539684837e-050.999994750523016
489.56254526144444e-061.91250905228889e-050.999990437454739
491.76883283298945e-053.53766566597889e-050.99998231167167
501.94397851045389e-053.88795702090777e-050.999980560214895
514.62670559311357e-059.25341118622715e-050.999953732944069
520.0001240242373530020.0002480484747060040.999875975762647
530.0001392306582642440.0002784613165284890.999860769341736
540.0002289850805126470.0004579701610252950.999771014919487
550.0003198671859456160.0006397343718912320.999680132814054
560.0005581018575891470.001116203715178290.999441898142411
570.001088755117905010.002177510235810020.998911244882095
580.002312996847059340.004625993694118680.997687003152941
590.004897944318580450.009795888637160910.99510205568142
600.008715429315110750.01743085863022150.991284570684889
610.01696932196765550.0339386439353110.983030678032344
620.02638524921500340.05277049843000670.973614750784997
630.04464956060410330.08929912120820670.955350439395897
640.07650694573905980.153013891478120.92349305426094
650.1312933623944130.2625867247888260.868706637605587
660.1808660714600540.3617321429201070.819133928539946
670.2562052315396850.5124104630793690.743794768460315
680.3204101284987620.6408202569975240.679589871501238
690.4184927932042820.8369855864085630.581507206795718
700.5811260789267790.8377478421464420.418873921073221
710.6750603810236970.6498792379526050.324939618976303
720.7602592240927660.4794815518144690.239740775907234
730.8224550890406860.3550898219186290.177544910959314
740.8530979735107020.2938040529785960.146902026489298
750.8791491702816970.2417016594366050.120850829718303
760.9171863388853310.1656273222293390.0828136611146694
770.9449745515730850.1100508968538310.0550254484269153
780.9570190703558050.08596185928839020.0429809296441951
790.9769612001505630.04607759969887340.0230387998494367
800.9843896434303660.03122071313926780.0156103565696339
810.9919599812936580.01608003741268460.0080400187063423
820.9956222460925390.00875550781492140.0043777539074607
830.9978360343651470.004327931269706660.00216396563485333
840.9986807773632210.002638445273557370.00131922263677869
850.9993163586129310.001367282774137170.000683641387068584
860.9996387576826790.000722484634641170.000361242317320585
870.9999019977266070.0001960045467864199.80022733932097e-05
880.9999363459790.000127308041999196.36540209995948e-05
890.9999674923411576.50153176858216e-053.25076588429108e-05
900.9999861528926992.76942146022253e-051.38471073011126e-05
910.9999949148962811.01702074383272e-055.08510371916358e-06
920.9999963745764687.25084706326515e-063.62542353163257e-06
930.999997802500664.39499867985984e-062.19749933992992e-06
940.9999986028178672.79436426683863e-061.39718213341931e-06
950.9999993864808531.22703829491067e-066.13519147455335e-07
960.9999994267319121.14653617599662e-065.73268087998311e-07
970.9999996876206846.24758631369395e-073.12379315684697e-07
980.9999998877896322.24420736666603e-071.12210368333302e-07
990.9999998686188582.62762284887442e-071.31381142443721e-07
1000.9999999329545281.34090943004024e-076.70454715020122e-08
1010.9999999748522315.02955372842251e-082.51477686421126e-08
1020.9999999927955191.4408962220319e-087.20448111015951e-09
1030.9999999937153981.25692038738182e-086.28460193690911e-09
1040.9999999948356221.03287562879336e-085.1643781439668e-09
1050.9999999942061.15880003258281e-085.79400016291407e-09
1060.9999999976768964.6462070879399e-092.32310354396995e-09
1070.9999999976886654.62266951921827e-092.31133475960914e-09
1080.9999999980676153.86477073819723e-091.93238536909861e-09
1090.9999999996433257.13350111713757e-103.56675055856878e-10
1100.9999999998421473.15706116467085e-101.57853058233543e-10
1110.9999999997915954.16809710867681e-102.0840485543384e-10
1120.9999999998868722.26256252013776e-101.13128126006888e-10
1130.9999999998042373.91525720829037e-101.95762860414518e-10
1140.9999999995826988.34603011467955e-104.17301505733978e-10
1150.9999999998801892.39622950389643e-101.19811475194821e-10
1160.9999999999940761.18481246821226e-115.9240623410613e-12
1170.9999999999926271.47468958364318e-117.37344791821588e-12
1180.99999999998363.28009319479075e-111.64004659739538e-11
1190.9999999999517459.6510151083399e-114.82550755416995e-11
1200.9999999999580348.39315283467823e-114.19657641733912e-11
1210.9999999999669056.6189486706858e-113.3094743353429e-11
1220.9999999998513212.97358420822486e-101.48679210411243e-10
1230.9999999996243717.51257848644822e-103.75628924322411e-10
1240.9999999984003433.19931481327922e-091.59965740663961e-09
1250.9999999948638581.02722846559426e-085.13614232797131e-09
1260.9999999915081341.6983731385226e-088.491865692613e-09
1270.9999999784278334.31443346625241e-082.1572167331262e-08
1280.9999999154452761.69109448101361e-078.45547240506805e-08
1290.9999999361560061.27687988267098e-076.38439941335489e-08
1300.9999999222307971.55538405739006e-077.77692028695029e-08
1310.9999996242909497.51418100965494e-073.75709050482747e-07
1320.9999985568845692.88623086297748e-061.44311543148874e-06
1330.9999947308692181.0538261563071e-055.2691307815355e-06
1340.99997100591985.79881604005324e-052.89940802002662e-05
1350.9998319284895860.0003361430208286210.00016807151041431
1360.9991224287201660.001755142559667390.000877571279833697


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1070.829457364341085NOK
5% type I error level1120.868217054263566NOK
10% type I error level1150.891472868217054NOK