Multiple Linear Regression - Estimated Regression Equation
Characters[t] = + 20240.366590051 + 0.384236167698985Time_RFC[t] -26.9449573592826Compendium_Views[t] -12.0324869408992t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)20240.3665900516574.9200923.07840.0024490.001225
Time_RFC0.3842361676989850.0619266.204700
Compendium_Views-26.944957359282616.021807-1.68180.0945650.047282
t-12.032486940899244.715818-0.26910.7882090.394104


Multiple Linear Regression - Regression Statistics
Multiple R0.635323297061139
R-squared0.403635691788637
Adjusted R-squared0.392453861009674
F-TEST (value)36.097460225209
F-TEST (DF numerator)3
F-TEST (DF denominator)160
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation26115.7712086713
Sum Squared Residuals109125360931.787


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
19555676798.620362941518757.3796370585
25456547490.49720730317074.50279269694
36301656496.99580141366519.00419858643
47977455192.538529172824581.4614708272
53125848254.1047378831-16996.1047378831
65249131492.768301486420998.2316985136
791256106238.879909907-14982.8799099069
82280729979.4555360188-7172.45553601878
97741149268.280948466228142.7190515338
104882158939.7833101574-10118.7833101574
115229572198.9331386855-19903.9331386855
126326259717.93195355143544.06804644859
135046650502.6335835477-36.6335835477239
146293275570.0365290489-12638.0365290489
153843964681.2607035456-26242.2607035456
167081788926.3217113729-18109.3217113729
1710596576529.577367407629435.4226325924
187379576741.531003261-2946.531003261
198204354650.79415176927392.205848231
207434968369.9588490935979.04115090702
218220474243.7559990017960.24400099903
2255709109810.31626933-54101.3162693296
233713749331.4472521496-12194.4472521496
247078053546.855751907817233.1442480922
255502753266.22991454331760.77008545675
265669957222.8361395961-523.836139596096
276591164290.97506918821620.02493081179
285631675326.2886483913-19010.2886483913
292698250022.0072739054-23040.0072739054
305462878416.4333570421-23788.4333570421
319675076585.568960280120164.4310397199
325300961045.1372998608-8036.13729986079
336466488057.0554075621-23393.0554075621
343699043201.6244989628-6211.62449896281
358522491956.0118053225-6732.01180532247
363704866046.4408153124-28998.4408153124
3759635101818.865708081-42183.8657080807
384205156753.4219053818-14702.4219053818
392699845060.2858913316-18062.2858913316
406371781289.2806085454-17572.2806085454
415507176902.5957693415-21831.5957693415
424000154496.6644401429-14495.6644401429
435450660817.1282130132-6311.12821301316
443583842791.3085742606-6953.30857426059
455083832954.913442318317883.0865576817
4686997103224.478694892-16227.4786948924
473303241060.8137899456-8028.81378994555
486170467840.2142529784-6136.2142529784
4911798679431.65008678638554.349913214
505673352608.73526358814124.26473641192
515506459852.6905560694-4788.6905560694
52595023034.5809891037-17084.5809891037
5384607105525.011558469-20918.0115584687
543255137706.1419179227-5155.14191792273
553170145564.9723359416-13863.9723359416
567117068642.94885075362527.05114924639
5710177375867.880593434525905.1194065655
5810165375049.661313247126603.3386867529
598149382384.4402367581-891.440236758133
605590162761.0308823092-6860.03088230918
6110910493160.13787252515943.8621274751
6211442577469.112772115436955.8872278845
633631156333.0728767551-20022.0728767551
647002773212.1487730235-3185.1487730235
657371363535.84849676110177.151503239
664067157417.6538655545-16746.6538655545
678904153689.590118429935351.4098815701
685723158108.9162217132-877.916221713231
696860863452.19908804045155.80091195959
705915545424.455099654213730.5449003458
715582752425.76634891633401.23365108372
722261836259.3338577436-13641.3338577436
735842555919.535104772505.46489522999
746572461299.7928817454424.20711825498
755697951803.96140269935175.0385973007
767236978681.2072117131-6312.20721171312
777919481524.5210317987-2330.52103179869
7820231654942.9391035605147373.06089644
794497046606.5205570715-1636.52055707149
804931954682.2117881239-5363.21178812393
813625246752.8025320592-10500.8025320592
8275741105749.380999626-30008.3809996259
833841754908.8390772552-16491.8390772552
846410264714.4620430392-612.462043039192
855662238547.729317804118074.2706821959
861543043906.6612967676-28476.6612967676
877257150394.762052890822176.2379471092
886727180664.299959612-13393.299959612
894346071667.1052188169-28207.1052188169
909950144749.201185809154751.7988141909
912834060575.4428448344-32235.4428448344
927601365486.202050422810526.7979495772
933736154361.1553508162-17000.1553508162
944820464456.1895641211-16252.1895641211
957616875440.9595525919727.040447408095
968516858813.04902393426354.950976066
9712541063067.859159254562342.1408407455
9812332881213.124448363342114.8755516367
998303879899.57542869813138.42457130193
10012008790555.438769903629531.5612300964
1019193969636.544391423622302.4556085764
10210364675608.82682045628037.173179544
1032946750676.6906465778-21209.6906465778
1044375029855.19806449713894.801935503
1053449754303.2838085471-19806.2838085471
1066647756765.37018698589711.62981301416
1077118159608.291158211711572.7088417883
1087448276214.922323709-1732.92232370905
10917494941612.1705417544133336.829458246
1104676545706.74875124761058.25124875238
1119025781057.96345936259199.03654063751
1125137062715.7445522698-11345.7445522698
113116823544.7813470792-22376.7813470792
1145136054482.4611803187-3122.46118031869
1152516237450.8954042215-12288.8954042215
1162106747710.7818837515-26643.7818837515
1175823396150.927380836-37917.927380836
11885522976.2776313041-22121.2776313041
1198590369736.606872804616166.3931271954
1201411625477.8716573825-11361.8716573825
1215763772074.1782057942-14437.1782057942
1229413761167.139177848932969.8608221511
1236214741727.989387878220419.0106121218
1246283240537.311765816522294.6882341835
125877325982.6984037257-17209.6984037257
1266378545645.181992498918139.8180075011
1276519677828.2649276964-12632.2649276964
1287308762947.904852865210139.0951471347
1297263187148.2745387394-14517.2745387394
1308628182892.86050504763388.1394949524
13116236597967.297666725664397.7023332744
1325653062847.1703005667-6317.17030056673
1333560639615.7588747567-4009.75887475667
1347011177067.6786751289-6956.67867512889
13592046101859.456642891-9813.45664289127
1366398932120.038459731631868.9615402684
13710491184824.54370954420086.456290456
1384344845011.3834165725-1563.38341657252
1396002972606.7186851103-12577.7186851103
1403865056709.585940466-18059.585940466
1414726143957.0646615513303.93533844903
1427358683917.9637606093-10331.9637606093
1438304265046.79790288617995.202097114
1443723865787.8574168414-28549.8574168414
1456395881245.701660797-17287.701660797
1467895639578.12117724839377.878822752
1479951853768.889822893145749.1101771069
14811143675248.634901478536187.3650985215
149018447.5260358571-18447.5260358571
150602321788.8330045398-15765.8330045398
151018461.1162064098-18461.1162064098
152018586.2560313374-18586.2560313374
153018399.3960880935-18399.3960880935
154018387.3636011526-18387.3636011526
1554256459232.8097027153-16668.8097027153
1563888573906.4233781938-35021.4233781938
157018351.2661403299-18351.2661403299
158018417.2335954319-18417.2335954319
159164419099.3904931261-17455.3904931261
160617929264.8843082876-23085.8843082876
161392623186.1261693899-19260.1261693899
1622323841519.4988285508-18281.4988285508
163018651.3960651848-18651.3960651848
1644928849606.8865326141-318.886532614063


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.2611215428982810.5222430857965620.738878457101719
80.1313431331676260.2626862663352520.868656866832374
90.2265975043177670.4531950086355340.773402495682233
100.1330721252188290.2661442504376590.866927874781171
110.0740943823979740.1481887647959480.925905617602026
120.06413355444206570.1282671088841310.935866445557934
130.03526680243633810.07053360487267620.964733197563662
140.01825570463970660.03651140927941310.981744295360293
150.01036271349652730.02072542699305460.989637286503473
160.00512877432464080.01025754864928160.994871225675359
170.07052128982397520.141042579647950.929478710176025
180.04631700417108270.09263400834216530.953682995828917
190.06243364940637190.1248672988127440.937566350593628
200.04226210353370560.08452420706741120.957737896466294
210.02895100601166210.05790201202332420.971048993988338
220.05778576053461430.1155715210692290.942214239465386
230.04600979364035860.09201958728071730.953990206359641
240.03813679445814810.07627358891629620.961863205541852
250.0256941890922650.05138837818452990.974305810907735
260.01664113381349450.03328226762698910.983358866186505
270.01061441791724210.02122883583448430.989385582082758
280.007079836829769040.01415967365953810.992920163170231
290.00739556774139980.01479113548279960.9926044322586
300.005039909755434370.01007981951086870.994960090244566
310.009130303312541850.01826060662508370.990869696687458
320.005847743030680220.01169548606136040.99415225696932
330.003946090288505010.007892180577010030.996053909711495
340.002506014987550010.005012029975100010.99749398501245
350.00176240641771540.003524812835430790.998237593582285
360.00174069689004020.00348139378008040.99825930310996
370.001688023806431680.003376047612863360.998311976193568
380.001083724646080450.00216744929216090.99891627535392
390.0007632139917599450.001526427983519890.99923678600824
400.0004915350477426010.0009830700954852010.999508464952257
410.0003238871588928630.0006477743177857270.999676112841107
420.0001987305888504420.0003974611777008830.99980126941115
430.0001297590478304280.0002595180956608560.99987024095217
447.54201228930624e-050.0001508402457861250.999924579877107
455.7279356227968e-050.0001145587124559360.999942720643772
463.7566061216372e-057.5132122432744e-050.999962433938784
472.1284482932428e-054.2568965864856e-050.999978715517068
481.51884377133979e-053.03768754267957e-050.999984811562287
490.0002149417188593880.0004298834377187760.999785058281141
500.0001352317429374630.0002704634858749250.999864768257062
518.9302606220932e-050.0001786052124418640.999910697393779
528.57866228631547e-050.0001715732457263090.999914213377137
537.83931359857016e-050.0001567862719714030.999921606864014
544.7349813455573e-059.4699626911146e-050.999952650186544
553.1476035359521e-056.29520707190419e-050.999968523964641
562.41540407827636e-054.83080815655273e-050.999975845959217
578.89804458648015e-050.0001779608917296030.999911019554135
580.0001765374980921950.000353074996184390.999823462501908
590.0001250920417201960.0002501840834403910.99987490795828
608.14678430346914e-050.0001629356860693830.999918532156965
619.69617632391493e-050.0001939235264782990.999903038236761
620.0002487671823885830.0004975343647771650.999751232817611
630.000242080016617380.000484160033234760.999757919983383
640.0001602888472712810.0003205776945425630.999839711152729
650.0001187773044763810.0002375546089527620.999881222695524
660.0001007568707836250.000201513741567250.999899243129216
670.0001716966411703750.000343393282340750.99982830335883
680.0001095682374270150.0002191364748540290.999890431762573
696.99965307765621e-050.0001399930615531240.999930003469223
704.61411955374892e-059.22823910749783e-050.999953858804463
712.81900685223287e-055.63801370446575e-050.999971809931478
722.49190090687725e-054.98380181375451e-050.999975080990931
731.52888239637851e-053.05776479275701e-050.999984711176036
749.32851371463753e-061.86570274292751e-050.999990671486285
755.60898461498376e-061.12179692299675e-050.999994391015385
763.66116114299874e-067.32232228599748e-060.999996338838857
772.31765876814743e-064.63531753629486e-060.999997682341232
780.1787747007677960.3575494015355920.821225299232204
790.1555977542784230.3111955085568460.844402245721577
800.1366904687117840.2733809374235670.863309531288216
810.1257140339143890.2514280678287780.874285966085611
820.1479319199476620.2958638398953250.852068080052338
830.1448871770927950.289774354185590.855112822907205
840.1245880901928750.2491761803857490.875411909807125
850.1054960275141950.2109920550283910.894503972485804
860.1275018353683250.2550036707366510.872498164631675
870.1109791749782520.2219583499565030.889020825021748
880.1033989357914210.2067978715828430.896601064208579
890.1267903740240.2535807480480.873209625976
900.1940838884633960.3881677769267930.805916111536604
910.2496011943184060.4992023886368110.750398805681594
920.2181837425584540.4363674851169070.781816257441546
930.2231783206684450.4463566413368890.776821679331555
940.2221832613803760.4443665227607520.777816738619624
950.200383076736750.40076615347350.79961692326325
960.1831655232433150.366331046486630.816834476756685
970.2920563481752620.5841126963505250.707943651824738
980.3179908561665170.6359817123330350.682009143833483
990.2824294781967960.5648589563935930.717570521803204
1000.2720138696325540.5440277392651090.727986130367446
1010.2423622100460510.4847244200921020.757637789953949
1020.22490954502390.4498190900477990.7750904549761
1030.2433120988582520.4866241977165030.756687901141748
1040.2094617108673140.4189234217346270.790538289132686
1050.2199426729121660.4398853458243310.780057327087834
1060.1865970608086590.3731941216173190.813402939191341
1070.1566289929317950.313257985863590.843371007068205
1080.1351158757869690.2702317515739390.864884124213031
1090.9646790754162310.07064184916753840.0353209245837692
1100.9551287383013230.08974252339735470.0448712616986774
1110.9424254245693790.1151491508612410.0575745754306205
1120.9337713526578180.1324572946843630.0662286473421816
1130.9362945607187080.1274108785625850.0637054392812923
1140.9210206743112440.1579586513775110.0789793256887556
1150.9106691098971090.1786617802057810.0893308901028907
1160.9247536593872220.1504926812255560.0752463406127778
1170.9681002132143140.06379957357137230.0318997867856862
1180.9726757573205210.05464848535895760.0273242426794788
1190.9636304789862530.07273904202749410.036369521013747
1200.960575309390310.07884938121938080.0394246906096904
1210.9645029290917020.07099414181659630.0354970709082982
1220.9621722865562360.07565542688752870.0378277134437644
1230.9523470922329880.0953058155340250.0476529077670125
1240.9431326744907810.1137346510184370.0568673255092187
1250.9445208679546670.1109582640906660.0554791320453329
1260.9298475557514660.1403048884970670.0701524442485335
1270.9269621059326180.1460757881347640.0730378940673818
1280.9045195462221880.1909609075556230.0954804537778116
1290.9149201677043380.1701596645913230.0850798322956616
1300.8918517144580390.2162965710839210.108148285541961
1310.9775225101007850.04495497979842920.0224774898992146
1320.968809634853310.06238073029337970.0311903651466898
1330.9590644295681730.0818711408636550.0409355704318275
1340.9472492758741610.1055014482516790.0527507241258394
1350.941206068290910.117587863418180.0587939317090902
1360.9486526653728780.1026946692542440.0513473346271222
1370.9308261921336440.1383476157327120.0691738078663561
1380.906602918304930.186794163390140.0933970816950699
1390.8835755700271920.2328488599456160.116424429972808
1400.882637080610.2347258387799990.11736291939
1410.8428749090707670.3142501818584650.157125090929233
1420.8787146807560480.2425706384879050.121285319243952
1430.8657834837953620.2684330324092760.134216516204638
1440.979222389726410.04155522054717910.0207776102735896
1450.9830213212176290.03395735756474120.0169786787823706
1460.9825634446583520.03487311068329580.0174365553416479
1470.9947821707595570.01043565848088630.00521782924044313
1480.9999949667509151.00664981706796e-055.03324908533981e-06
1490.999981818721453.63625571005388e-051.81812785502694e-05
1500.9999534818942389.30362115248371e-054.65181057624186e-05
1510.9998438600204570.000312279959085560.00015613997954278
1520.9994930772528470.001013845494305180.00050692274715259
1530.9984679794526380.003064041094724020.00153202054736201
1540.9958688035910080.008262392817983160.00413119640899158
1550.9946511452389210.0106977095221580.00534885476107901
1560.9932569148656970.01348617026860520.0067430851343026
1570.9728803007994290.05423939840114290.0271196992005715


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level520.344370860927152NOK
5% type I error level690.456953642384106NOK
10% type I error level880.582781456953642NOK