Multiple Linear Regression - Estimated Regression Equation
page[t] = + 315.848260058836 + 0.00750771420324837time[t] + 1.16783378094126blog[t] + 19.72966856544score[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)315.84826005883638.1602018.276900
time0.007507714203248370.00042617.604100
blog1.167833780941260.9514611.22740.2206810.11034
score19.7296685654414.5680391.35430.176710.088355


Multiple Linear Regression - Regression Statistics
Multiple R0.89416945259536
R-squared0.799539009954686
Adjusted R-squared0.797428894269998
F-TEST (value)378.907666416918
F-TEST (DF numerator)3
F-TEST (DF denominator)285
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation331.346445562586
Sum Squared Residuals31290283.0912835


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
114182030.99594534858-612.99594534858
28691291.88089909082-422.880899090824
315301711.08990550228-181.089905502275
421721867.18380130295304.816198697047
59011297.90988945211-396.909889452108
6463711.850153423375-248.850153423375
732013351.63523518789-150.635235187886
8371566.046973961526-195.046973961526
911921102.3265458668489.6734541331581
1015831485.1724994897297.8275005102843
1114391638.55007501441-199.550075014413
1217642187.86670426741-423.86670426741
1314951638.64536295025-143.645362950252
1413731445.66112027467-72.6611202746703
1521872459.766146476-272.766146476003
1614911741.43348512171-250.433485121712
1740412938.864062948421102.13593705158
1817062149.24934038846-443.249340388462
1921522183.48556880748-31.4855688074788
2010361428.70319635269-392.703196352686
2118821973.65204956126-91.6520495612568
2219292049.06165962018-120.061659620181
2322423013.88810813538-771.888108135381
2412201529.93993498294-309.939934982937
2512891410.87651319941-121.876513199409
2625151771.26967156298743.73032843702
2721471769.74710452343377.252895476567
2823522103.79271942934248.207280570658
2916382097.70628119307-459.706281193068
3012221307.82681146993-85.8268114699272
3118122102.91603048943-290.916030489426
3216772008.00303494336-331.003034943364
3315791645.54141295054-66.5414129505387
3417312405.19883159874-674.198831598739
35807997.278017022838-190.278017022838
3624522730.17639545851-278.176395458509
378291109.24499287139-280.244992871395
3819402017.73545700835-77.7354570083476
3926622913.94574482969-251.94574482969
40186369.723617181346-183.723617181346
4114991642.60790617501-143.607906175009
428651172.99729633459-307.99729633459
4317931089.84216232403703.157837675968
4425272383.81866198143143.181338018566
4527472404.91227776242342.087722237584
4613241421.81855780456-97.8185578045579
4727021702.45112764443999.548872355571
4813831571.92156823003-188.921568230032
4911791199.74268402127-20.7426840212746
5020991229.51260358258869.487396417425
5143083164.115328092341143.88467190766
52918930.812814893633-12.8128148936328
5318311718.36794732913112.632052670875
5433732596.21992906933776.780070930666
5517131545.99361415994167.006385840058
5614381671.97335434653-233.973354346526
57496506.787521454538-10.7875214545378
5822532880.14966131418-627.149661314177
59744828.591916381641-84.5919163816409
6011611109.8906562928751.1093437071256
6123522087.84695848567264.15304151433
6221442305.53147579595-161.531475795955
6346912990.034575870861700.96542412914
6411121125.15644045817-13.1564404581716
6526942273.69725034817420.302749651832
6619732384.93521510809-411.935215108095
6717691911.77432435444-142.774324354438
6831482803.7812500477344.218749952303
6924742208.78981618363265.210183816366
7020841715.99427562242368.005724377583
7119541897.2058124328556.7941875671488
7212261780.20418917218-554.204189172185
7313891707.65598306522-318.655983065221
7414961509.0024892713-13.0024892712967
7522691811.57516187649457.424838123508
7618331858.036620466-25.0366204659974
7712681347.19075982371-79.190759823713
7819431813.07626444042129.92373555958
79893893.853106315713-0.853106315713451
8017621896.231234367-134.231234367003
8114031653.88082741745-250.880827417446
8214251596.6684443216-171.668444321601
8318572598.91873218704-741.918732187041
8418402244.48621929747-404.486219297468
8515021775.0043175478-273.004317547797
8614411449.87772832846-8.87772832845919
8714201571.1306570486-151.130657048598
8814161280.32835967745135.671640322555
8929703054.96300192242-84.9630019224168
9013171445.43292717865-128.432927178654
9116441923.62493162568-279.624931625679
92870980.844103220523-110.844103220523
9316541265.62837439104388.371625608958
9410541295.56930835133-241.569308351329
959371274.20882382046-337.208823820456
9630042533.13465794864470.865342051358
9720082213.2904257497-205.290425749703
9825471647.18496879763899.815031202366
9918851932.18765485243-47.1876548524256
10016261867.11608043969-241.116080439693
10114681408.0494169705959.950583029413
10224452085.8670758346359.132924165402
10319642188.67796502954-224.677965029538
10413811558.06505375824-177.065053758243
10513691781.44901011287-412.449010112873
10616592211.66024507581-552.660245075812
10728882436.24169293983451.758307060174
10812901001.52324518244288.476754817561
10928452801.3570268047243.6429731952796
11019822133.87262883489-151.872628834892
11119042197.82228676596-293.822286765957
11213911449.75707470365-58.7570747036486
113602656.016523927085-54.0165239270846
11417431571.62447786124171.375522138764
11515591647.03089501791-88.0308950179142
11620141959.2499483854154.7500516145904
11721432259.91250099261-116.912500992608
11821462033.11858667828112.881413321716
1198741095.30990686549-221.309906865494
12015901058.23391708368531.766082916316
12115901323.04646538593266.953534614074
1221210808.060623369773401.939376630227
12320721304.50455956873767.49544043127
12412811228.3696755505552.630324449446
12514012064.76100085488-663.761000854883
126834965.384774498843-131.384774498843
12711051114.40953179856-9.40953179855767
12812721146.95612219075125.043877809245
12919442299.38114627124-355.381146271238
130391502.074213824242-111.074213824242
131761627.913908631058133.086091368942
13216051584.369856264720.6301437352981
133530807.113114490819-277.113114490819
13419881117.42627275144870.573727248562
13513861452.62799584775-66.6279958477524
13623952775.03141477752-380.031414777516
137387478.587010017792-91.5870100177922
13817421962.17866776039-220.178667760386
139620499.8969767053120.1030232947
140449572.716602096623-123.716602096623
141800682.793170855306117.206829144694
14216841374.66923205472309.330767945284
14310501012.7432589604137.2567410395858
14426992267.80151412192431.198485878085
14516061696.91929541867-90.9192954186738
1461502949.304019120157552.695980879843
14712041356.8414593036-152.841459303602
14811381059.8616859485578.138314051455
149568621.43339111683-53.4333911168295
15014591506.32740536905-47.3274053690487
15121582478.16843454161-320.168434541607
15211111723.79327345358-612.793273453578
15314211179.55674586276241.443254137244
15428332929.83240188547-96.8324018854722
15519552348.94216891697-393.942168916974
15629223110.38435645864-188.384356458644
15710021571.08191296066-569.081912960662
15810601087.30177700072-27.301777000721
159956994.670534860294-38.6705348602939
16021862149.9645447700836.0354552299214
16136043165.29577250744438.704227492555
1621035964.40002290494970.5999770950508
16314171262.15691338297154.843086617029
16432612924.26182938209336.738170617907
16515871354.76504066864232.234959331364
16614241956.89725591718-532.89725591718
16717011640.4461570730760.5538429269305
16812491402.04537420949-153.045374209486
1699461245.49516696447-299.495166964466
17019262241.01085845707-315.010858457073
17133522672.74615940327679.253840596729
17216411876.31420674819-235.314206748191
17320351664.51600793224370.483992067759
17423122366.61148592806-54.6114859280589
17513691257.2285984488111.7714015512
17615771369.0595517791207.940448220899
17722011974.24760310422226.752396895782
1789611000.04082353776-39.0408235377587
17919002153.04001257685-253.040012576848
18012541387.80572243246-133.80572243246
1811335908.349438141437426.650561858563
1821597993.509321225327603.490678774673
183207430.792901399913-223.792901399913
18416451852.76311303433-207.763113034327
18524292424.97028892344.02971107659718
186151378.07113107461-227.07113107461
187474680.1722101537-206.1722101537
188141447.586121183235-306.586121183235
18916391360.34693781249278.653062187509
1908721133.18421608272-261.184216082715
19113181515.25330911204-197.253309112039
19210181070.21788496497-52.2178849649696
1931383962.653976006801420.346023993199
1941314768.434731072509545.565268927491
19513351429.55582526065-94.5558252606477
19614031229.95694417448173.04305582552
197910879.36014412475530.639855875245
198616845.830856577023-229.830856577023
19914071102.47794118418304.522058815825
200771893.511593685725-122.511593685725
201766920.508861372011-154.508861372011
202473703.413492136864-230.413492136864
20313761374.750871733761.24912826624041
20412321155.7221777250276.2778222749834
20515211022.33492480992498.66507519008
206572660.088306215338-88.0883062153385
2071059935.010099721845123.989900278155
20815441716.07928493623-172.079284936227
20912301359.3952908541-129.3952908541
21012061297.50216755112-91.5021675511162
21112051042.81933879115162.180661208853
21212551313.31740732195-58.3174073219502
213613736.475632742549-123.475632742549
214721967.890518297307-246.890518297307
2151109758.660751480628350.339248519372
216740723.46275455037916.5372454496211
2171126802.771054491249323.228945508751
218728750.773986076376-22.7739860763756
219689839.059975314986-150.059975314986
220592936.436388687942-344.436388687942
221995962.0283859732732.9716140267302
22216131125.92896657643487.071033423566
22320481057.42690650976990.573093490236
224705853.150417985139-148.150417985139
225301514.884647277126-213.884647277126
22618031383.04506318293419.954936817072
227799894.555461816053-95.5554618160533
228861829.46405226248631.5359477375141
2291186817.767801978497368.232198021503
2301451919.155344213929531.844655786071
231628574.1280397182953.8719602817102
2321161970.4638315236190.5361684764
23314631003.1151764496459.884823550396
234742710.59500499460731.404995005393
235979839.806608655873139.193391344127
236675785.560476491234-110.560476491234
23712411531.92285910082-290.922859100824
238676690.311466551447-14.3114665514468
2391049903.631223987032145.368776012968
240620622.792287387617-2.79228738761742
24110811026.820695680154.1793043198992
24216881396.06893784762291.931062152376
243736744.851344747205-8.85134474720449
244617727.523067777511-110.523067777511
245812872.385181773861-60.3851817738609
2461051986.79003613697664.2099638630237
24716561144.06594807858511.934051921419
248705980.615917139293-275.615917139293
249945983.851446104817-38.8514461048171
250554597.101657828774-43.1016578287737
25115971398.97270260763198.02729739237
2529821111.5803645772-129.580364577201
253222476.296861329725-254.296861329725
25412121075.92634894953136.073651050469
2551143987.76296520471155.23703479529
256435556.706313191936-121.706313191936
257532584.251524891502-52.2515248915017
2588821021.61755388117-139.617553881173
259608797.169058662357-189.169058662357
260459635.975833528522-176.975833528522
261578525.65210191328452.347898086716
262826942.916195366461-116.916195366461
263509602.926403017226-93.9264030172263
264717765.653388058985-48.6533880589848
265637710.051079937208-73.0510799372078
266857993.404036493962-136.404036493962
267830840.865668947127-10.865668947127
268652815.268193088867-163.268193088867
2697071248.94930721011-541.949307210113
270954932.57913720933721.4208627906633
27114611112.1867758058348.8132241942
272672867.327583590965-195.327583590965
273778649.932970088437128.067029911563
27411411156.66235562229-15.6623556222868
275680810.968709956524-130.968709956524
2761090882.876236438412207.123763561588
277616718.139016735603-102.139016735604
278285475.909061381249-190.909061381249
27911451009.82677709123135.173222908769
280733967.137737399042-234.137737399042
281888933.736389497386-45.7363894973856
2828491007.07203769079-158.072037690792
28311821032.95497077275149.045029227249
284528627.361411558707-99.3614115587065
285642809.424249432152-167.424249432152
286947715.185588007557231.814411992443
287819758.39999096145560.600009038545
288757819.971996175563-62.9719961755631
289894880.27348406745813.7265159325419


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.6320035201787880.7359929596424230.367996479821212
80.5086841203035270.9826317593929470.491315879696473
90.5327903521410690.9344192957178620.467209647858931
100.5207124106812590.9585751786374830.479287589318741
110.4056612518966320.8113225037932650.594338748103368
120.3385562181719930.6771124363439870.661443781828007
130.2883167284798840.5766334569597680.711683271520116
140.2086298236307350.417259647261470.791370176369265
150.1609380863370290.3218761726740580.839061913662971
160.1113087545416510.2226175090833030.888691245458349
170.7189168541341010.5621662917317980.281083145865899
180.7779408358976360.4441183282047280.222059164102364
190.7313732163837520.5372535672324970.268626783616248
200.7546911020007710.4906177959984580.245308897999229
210.7079569764212090.5840860471575820.292043023578791
220.6500300185491210.6999399629017570.349969981450879
230.6999380233443410.6001239533113190.300061976655659
240.645711213231170.708577573537660.35428878676883
250.5932735637326910.8134528725346180.406726436267309
260.675899838349940.6482003233001190.32410016165006
270.7176430460569360.5647139078861290.282356953943064
280.740717535059670.518564929880660.25928246494033
290.7817073317161820.4365853365676360.218292668283818
300.7420630843399450.5158738313201110.257936915660055
310.7333073991202580.5333852017594840.266692600879742
320.7191026763069850.5617946473860310.280897323693015
330.6990165937901630.6019668124196750.300983406209837
340.8042797372448420.3914405255103160.195720262755158
350.7674029825547450.465194034890510.232597017445255
360.7411732374952410.5176535250095180.258826762504759
370.7022780617803460.5954438764393080.297721938219654
380.6691722041702460.6616555916595070.330827795829754
390.6325588995110660.7348822009778690.367441100488934
400.5863260391605470.8273479216789050.413673960839453
410.5406097055677320.9187805888645350.459390294432268
420.5017932079708590.9964135840582820.498206792029141
430.7414712712498310.5170574575003370.258528728750169
440.7436377152970920.5127245694058170.256362284702908
450.7718903254459790.4562193491080420.228109674554021
460.7357029226162440.5285941547675120.264297077383756
470.963464737019640.07307052596072010.0365352629803601
480.9547959004259780.09040819914804450.0452040995740222
490.9441596384485780.1116807231028430.0558403615514216
500.9903165848836070.01936683023278680.00968341511639339
510.9998388237719840.0003223524560328840.000161176228016442
520.9997648792733160.0004702414533686750.000235120726684337
530.9996687109058490.0006625781883023850.000331289094151193
540.9999115241584120.0001769516831761558.84758415880776e-05
550.9998788447936370.0002423104127250740.000121155206362537
560.9998443257887720.000311348422455930.000155674211227965
570.999778156429480.0004436871410394730.000221843570519737
580.9998837380117880.0002325239764239770.000116261988211989
590.9998302716821850.0003394566356300660.000169728317815033
600.9997633938417940.0004732123164112620.000236606158205631
610.9997246543993730.0005506912012537050.000275345600626853
620.9996398937312010.0007202125375974940.000360106268798747
630.9999999756304284.87391439871391e-082.43695719935695e-08
640.9999999591248958.17502108665799e-084.087510543329e-08
650.9999999653277146.93445727735835e-083.46722863867917e-08
660.9999999734997185.30005645014231e-082.65002822507116e-08
670.9999999582737438.34525132896571e-084.17262566448285e-08
680.999999954078239.18435392652029e-084.59217696326014e-08
690.9999999416993471.16601305219593e-075.83006526097964e-08
700.9999999475974581.04805084140016e-075.24025420700078e-08
710.9999999149001341.70199733012259e-078.50998665061294e-08
720.9999999545378879.09242269109463e-084.54621134554732e-08
730.9999999485134191.02973161136884e-075.14865805684418e-08
740.9999999151231261.69753747977107e-078.48768739885537e-08
750.9999999433499681.13300063477719e-075.66500317388593e-08
760.9999999075663161.84867368693248e-079.24336843466241e-08
770.9999998531630962.93673808358882e-071.46836904179441e-07
780.9999997810938014.37812397803909e-072.18906198901955e-07
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1780.999999788353844.23292319405527e-072.11646159702764e-07
1790.9999999285717351.42856530552027e-077.14282652760135e-08
1800.999999906266281.87467440900231e-079.37337204501154e-08
1810.9999999405170061.18965988081343e-075.94829940406715e-08
1820.9999999770358654.59282694967909e-082.29641347483954e-08
1830.999999969019426.19611595466379e-083.0980579773319e-08
1840.9999999549176799.01646417772742e-084.50823208886371e-08
1850.9999999831743463.36513083409522e-081.68256541704761e-08
1860.9999999766060534.67878946082323e-082.33939473041161e-08
1870.999999967232876.55342605665678e-083.27671302832839e-08
1880.9999999613150927.7369816219885e-083.86849081099425e-08
1890.9999999546380579.07238858701548e-084.53619429350774e-08
1900.9999999313687171.37262566315405e-076.86312831577027e-08
1910.9999999306355371.38728924906942e-076.9364462453471e-08
1920.9999998836990332.32601933855628e-071.16300966927814e-07
1930.9999999076909961.84618007994378e-079.23090039971891e-08
1940.9999999875901682.4819663535346e-081.2409831767673e-08
1950.9999999858640112.82719787124148e-081.41359893562074e-08
1960.9999999802985653.94028705515631e-081.97014352757815e-08
1970.999999967046996.59060208616524e-083.29530104308262e-08
1980.9999999498459971.00308005722072e-075.01540028610358e-08
1990.9999999450514821.0989703612532e-075.494851806266e-08
2000.9999999239790411.52041918380164e-077.60209591900818e-08
2010.9999998882827172.2343456574695e-071.11717282873475e-07
2020.9999998557201312.88559739091684e-071.44279869545842e-07
2030.9999997649678914.70064218043681e-072.35032109021841e-07
2040.9999996197085687.60582863108469e-073.80291431554234e-07
2050.9999998612607742.77478451441094e-071.38739225720547e-07
2060.9999997640420714.71915857199931e-072.35957928599966e-07
2070.9999996160132757.67973450932765e-073.83986725466382e-07
2080.999999518451849.63096319372549e-074.81548159686275e-07
2090.9999993653168871.26936622505246e-066.34683112526228e-07
2100.9999992337166891.53256662179346e-067.6628331089673e-07
2110.9999988434933282.31301334387823e-061.15650667193911e-06
2120.9999980782443043.84351139289205e-061.92175569644603e-06
2130.9999970698652485.86026950346885e-062.93013475173442e-06
2140.9999974250932485.14981350406691e-062.57490675203345e-06
2150.9999991273241961.74535160786093e-068.72675803930467e-07
2160.999998701460572.59707885929217e-061.29853942964609e-06
2170.9999988494710782.30105784457572e-061.15052892228786e-06
2180.9999981114761343.77704773162715e-061.88852386581357e-06
2190.9999974591469885.08170602312495e-062.54085301156248e-06
2200.9999974915637365.01687252802626e-062.50843626401313e-06
2210.9999962658909617.46821807768846e-063.73410903884423e-06
2220.999998742771682.51445664091586e-061.25722832045793e-06
2230.99999994497411.10051800753296e-075.50259003766481e-08
2240.99999991532321.69353599398971e-078.46767996994856e-08
2250.9999998756770252.48645949864043e-071.24322974932022e-07
2260.9999999149671781.70065643836624e-078.50328219183118e-08
2270.9999998522532342.95493532583112e-071.47746766291556e-07
2280.9999997242344235.51531153891598e-072.75765576945799e-07
2290.9999998095459773.80908046131626e-071.90454023065813e-07
2300.9999999740800665.18398673493711e-082.59199336746855e-08
2310.9999999658583646.82832719964978e-083.41416359982489e-08
2320.9999999497263881.00547224413858e-075.02736122069288e-08
2330.999999992543411.49131797617057e-087.45658988085286e-09
2340.9999999857051962.85896087415779e-081.4294804370789e-08
2350.9999999787366814.25266389438419e-082.12633194719209e-08
2360.99999996311797.37641996972401e-083.688209984862e-08
2370.9999999773255434.53489129585993e-082.26744564792997e-08
2380.9999999532834459.34331092137253e-084.67165546068627e-08
2390.9999999285738741.42852251943197e-077.14261259715986e-08
2400.9999998623989872.75202026818881e-071.3760101340944e-07
2410.9999997344334245.31133152639694e-072.65566576319847e-07
2420.9999997770883284.45823343832801e-072.22911671916401e-07
2430.999999542724459.14551100648727e-074.57275550324363e-07
2440.9999991170092431.76598151452041e-068.82990757260203e-07
2450.9999982435384773.51292304515248e-061.75646152257624e-06
2460.9999967879432456.42411350930789e-063.21205675465394e-06
2470.9999997637729414.72454118295728e-072.36227059147864e-07
2480.9999997642790014.71441998837708e-072.35720999418854e-07
2490.9999994853201211.02935975822509e-065.14679879112546e-07
2500.9999989019264442.19614711160058e-061.09807355580029e-06
2510.9999977910319554.41793608959154e-062.20896804479577e-06
2520.9999959239590578.15208188564798e-064.07604094282399e-06
2530.9999948105551461.03788897086138e-055.18944485430689e-06
2540.9999932561335541.3487732892812e-056.74386644640601e-06
2550.9999925895873851.48208252307475e-057.41041261537375e-06
2560.9999857226907842.85546184326952e-051.42773092163476e-05
2570.9999711836676195.76326647625147e-052.88163323812573e-05
2580.9999453878259610.0001092243480788545.46121740394271e-05
2590.9999120371948930.0001759256102143958.79628051071977e-05
2600.9998689937469810.0002620125060370050.000131006253018502
2610.9997577894901190.0004844210197629290.000242210509881464
2620.9995833163560660.00083336728786740.0004166836439337
2630.9992279720895380.001544055820923670.000772027910461835
2640.9986166325028710.002766734994257920.00138336749712896
2650.9975265727053530.004946854589294110.00247342729464706
2660.9961520675800440.007695864839911310.00384793241995565
2670.9932921334553530.01341573308929390.00670786654464696
2680.9884213598961730.02315728020765340.0115786401038267
2690.998815966882260.002368066235479230.00118403311773962
2700.9975513687838210.004897262432357390.0024486312161787
2710.9995085673403320.0009828653193352780.000491432659667639
2720.9992757827235480.001448434552904610.000724217276452303
2730.9992429555966060.001514088806787240.000757044403393619
2740.998720556591980.002558886816040370.00127944340802018
2750.9980238573892090.003952285221581730.00197614261079086
2760.995231484104580.009537031790840120.00476851589542006
2770.989198527591210.02160294481757990.01080147240879
2780.988155543349780.02368891330043920.0118444566502196
2790.971609486675870.05678102664825920.0283905133241296
2800.9503040763314790.09939184733704150.0496959236685207
2810.8998322677664880.2003354644670240.100167732233512
2820.8199583574949550.360083285010090.180041642505045


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level2240.811594202898551NOK
5% type I error level2290.829710144927536NOK
10% type I error level2330.844202898550725NOK