Multiple Linear Regression - Estimated Regression Equation
Feedbackmessagesp120[t] = -4.75613389859775 + 2.70979046899076compendiumsreveiwed[t] + 0.000117001423137666totsize[t] + 0.119094516786789bloggedcomputations[t] + 6.67411172555753e-06totseconds[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-4.756133898597752.107708-2.25650.0247970.012398
compendiumsreveiwed2.709790468990760.13533620.022700
totsize0.0001170014231376664e-052.92150.0037630.001882
bloggedcomputations0.1190945167867890.0470692.53020.011940.00597
totseconds6.67411172555753e-063.8e-050.17630.8601820.430091


Multiple Linear Regression - Regression Statistics
Multiple R0.928316494409435
R-squared0.861771513792622
Adjusted R-squared0.859824633705194
F-TEST (value)442.642317499463
F-TEST (DF numerator)4
F-TEST (DF denominator)284
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation14.5883928549079
Sum Squared Residuals60441.2225293124


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
194100.059860879844-6.05986087984405
210388.602056194700414.3979438052996
393115.662032254441-22.6620322544407
4103101.8864546675621.11354533243829
55165.7119959031986-14.7119959031986
67073.997473913819-3.99747391381897
79192.6494046923239-1.64940469232392
82246.8533782051788-24.8533782051788
93829.58254293995568.41745706004445
109385.05109876509357.94890123490654
116078.5207236849193-18.5207236849193
12123116.2114950698696.78850493013099
13148133.61213226954914.3878677304512
149088.93496318753761.06503681246239
15124126.055157360433-2.05515736043342
1670101.821769915522-31.8217699155223
17168153.85944813294114.1405518670586
18115105.2529546011449.74704539885649
1971101.042855147122-30.0428551471224
206679.6256293287979-13.6256293287979
21134120.62678088903513.3732191109653
22117117.225178920839-0.225178920839395
2310894.833480353751613.1665196462484
248477.27360470459196.72639529540805
25156122.73809134468933.2619086553111
26120110.6831809406019.31681905939921
2711498.281416394256615.7185836057434
289499.7496924942369-5.74969249423692
29120106.55175139019113.448248609809
308172.54095418469118.45904581530886
31110107.476538930582.5234610694198
32133116.00600959235816.9939904076415
33122123.5016662893-1.50166628930015
34158136.98273928605621.0172607139443
3510988.444087979926720.5559120200733
36124110.43278767822113.5672123217791
373937.71013157056081.28986842943915
389297.5208634308563-5.52086343085626
39126113.134225592912.8657744070996
400-4.576766511954274.57676651195427
417085.2033672443249-15.2033672443249
423741.1372810115458-4.13728101154581
433849.2136069540573-11.2136069540573
44120104.0287456104215.9712543895803
459398.1692789078088-5.16927890780876
4695104.304765505991-9.30476550599083
477761.244193123768115.7558068762319
489088.21296427302641.78703572697356
498081.8998112857896-1.89981128578963
5031113.87160312223-82.8716031222296
51110108.7404019720911.25959802790889
526672.3253104367628-6.32531043676284
53138122.08165539631415.9183446036855
54133131.9725207746651.0274792253347
55113103.7530231096069.24697689039402
5610089.477784748275210.5222152517248
5777.83238128668663-0.832381286686631
58140124.91386828600515.0861317139948
596150.497172991629810.5028270083702
604140.76866478147570.231335218524286
619693.00488459373142.99511540626857
62164144.3715722748319.6284277251699
637878.1006522170389-0.100652217038943
644944.89672406855814.10327593144187
6510297.28615184703484.71384815296517
66124118.2053592778215.79464072217884
679989.00830903450499.99169096549507
68129130.110589568817-1.11058956881704
696288.7598099381125-26.7598099381125
7073105.329615008339-32.3296150083392
7111499.448540675540414.5514593244596
729990.72283384371538.27716615628471
737078.8027024356697-8.80270243566974
7410489.343263469010914.6567365309891
75116111.0592976785584.94070232144178
769196.1387598023346-5.13875980233459
777481.3174213391968-7.31742133919684
78138121.58127300219316.4187269978069
796762.99446848377664.00553151622341
80151120.7790579796930.2209420203101
817289.6866935258093-17.6866935258093
82120108.45841219699711.541587803003
83115110.009659678324.99034032167982
8410593.658415500262611.3415844997374
85104123.362921868898-19.3629218688977
8610896.040500833273111.9594991667269
879899.6837471247236-1.68374712472356
886966.71209306570992.28790693429007
89111125.564024267706-14.564024267706
909974.255983444947124.7440165550529
9171112.608895477246-41.6088954772456
922729.7550377981743-2.75503779817426
936965.17539113902213.82460886097789
9410793.476543514836413.5234564851636
957358.424976401699514.5750235983005
9610791.816306192744415.1836938072556
9793134.851051377869-41.8510513778693
98129126.908328191982.09167180801975
996998.1650111744502-29.1650111744502
100118112.1166333317395.8833666682613
1017373.4453329696203-0.445332969620314
102119100.67442378077718.3255762192227
10310494.62068770966679.37931229033329
10410793.917664422626813.0823355773732
1059997.88893489036961.11106510963042
10690114.971350787153-24.9713507871535
107197163.79246654606933.2075334539311
1083659.6089314484181-23.6089314484181
1098596.0664696271405-11.0664696271405
110139130.9532079817868.04679201821398
111106115.034167870659-9.03416787065949
1125091.4191754265889-41.4191754265889
1136453.527938805900610.4720611940994
1143163.5217502101483-32.5217502101483
1156399.9331371082643-36.9331371082643
11692103.006147201346-11.0061472013462
117106111.174401628913-5.1744016289127
1186355.8571491216467.14285087835398
1196984.4565262987448-15.4565262987448
1204150.3956813217275-9.39568132172754
1215661.3192257796598-5.31922577965976
1222532.682121039407-7.68212103940699
1236549.824448045266515.1755519547335
12493103.360373556239-10.3603735562386
125114100.77254950713613.2274504928644
1263828.29678527563859.7032147243615
1274439.27348231325724.72651768674279
1288769.36662790275317.633372097247
129110137.445100663454-27.4451006634538
1300-0.4415680793517580.441568079351758
1312721.22677262595775.77322737404228
13283102.815880532564-19.8158805325639
1333030.8989748449527-0.89897484495272
1348072.25053009704727.74946990295277
13598106.388599960889-8.38859996088895
13682105.153048781565-23.1530487815651
1370-4.135523646821264.13552364682126
1386079.7927471144722-19.7927471144722
1392837.1654822632466-9.16548226324661
140920.8052811842516-11.8052811842516
1413333.4641387922104-0.464138792210371
1425962.039799300574-3.03979930057404
1434946.85913934994152.14086065005848
144115106.2584505983598.74154940164058
145140124.66686101965715.3331389803432
1464961.8251838316244-12.8251838316244
147120113.0067221144226.99327788557797
1486674.7534544887827-8.75345448878267
1492119.94747971136221.0525202886378
150124105.97363264553218.0263673544681
151152135.53466242238316.4653375776168
152139128.13650393218710.8634960678129
1533842.8839986021824-4.8839986021824
154144135.1980560445358.80194395546473
155120127.012723142982-7.01272314298159
156160159.81749836260.182501637399929
15711495.275708008206818.7242919917932
1583936.41388614790242.58611385209756
1597881.9528788637592-3.95287886375918
16011998.008239965758620.9917600342414
161141129.56385506227711.4361449377232
16210191.26107798588529.73892201411479
1635649.18324012975356.81675987024646
164133125.6643846529827.33561534701756
1658388.5210638470188-5.52106384701879
166116110.5730090293395.42699097066114
1679096.9144849531848-6.91448495318475
1683679.7856772380661-43.7856772380661
1695059.8206637531248-9.82066375312476
1706159.24593164175131.75406835824869
17197102.351932231282-5.35193223128217
17298105.193920979779-7.19392097977946
1737861.461994625187416.5380053748126
174117128.164013306568-11.1640133065679
175148137.31539045711910.6846095428813
1764137.24370552232643.75629447767363
177105108.977434868064-3.97743486806353
1785549.67402373620895.32597626379114
179132132.680393329592-0.680393329592113
1804441.80205817928372.19794182071632
1812121.9189837508849-0.918983750884854
1825053.6625860478991-3.66258604789906
1830-3.521977049339093.52197704933909
1847390.2746688685068-17.2746688685068
18586115.908198246572-29.9081982465721
1860-3.701790337176923.70179033717692
1871311.08845791047021.91154208952981
1884-1.53580540543355.5358054054335
1895747.28438874054159.71561125945853
1904890.5282967883741-42.5282967883741
1914674.682283118589-28.682283118589
1924846.46971553736031.53028446263972
1933232.6804880563576-0.680488056357584
1946865.66344238269692.33655761730305
1958769.595718139315217.4042818606849
1964337.9915504438425.00844955615804
1976751.396975481848815.6030245181512
1984640.69018917402655.30981082597352
1994651.9470444415846-5.94704444158457
2005645.283307391141710.7166926088583
2014844.5657642505533.43423574944701
2024463.4243374975421-19.4243374975421
2036044.638918555204615.3610814447954
2046549.719724501092515.2802754989075
2055550.44464482014064.55535517985942
2063852.9168163504949-14.9168163504949
2075244.95121574479397.04878425520614
2086047.615921834751912.3840781652481
2095451.53957287641632.46042712358367
2108663.003405114428122.9965948855719
2112422.60200848735241.39799151264763
2125249.53406792038282.46593207961718
2134949.3570175718388-0.357017571838813
2146145.981791754052615.0182082459474
2156162.6216865354192-1.62168653541924
2168157.105739031340723.8942609686593
2174336.40759820072936.59240179927072
2184036.71730232421113.28269767578885
2194044.2504675183714-4.25046751837137
2205642.288745579747413.7112544202526
2216856.788334500400211.2116654995998
2227965.876327419778513.1236725802215
2234751.146970600237-4.14697060023696
2245750.99622395763146.00377604236864
2254142.419184450303-1.41918445030301
2262935.4555236533193-6.45552365331927
227321.2811979694556-18.2811979694556
2286050.11488469080979.88511530919033
2293039.1194822467562-9.1194822467562
2307969.64029524803849.35970475196156
2314741.82636925074435.17363074925565
2324041.2158509771071-1.21585097710708
2334845.7125742238632.28742577613702
2343645.8369803669598-9.8369803669598
2354259.8742379359812-17.8742379359812
2364951.9406442172372-2.94064421723715
2375750.88432853104656.11567146895353
2381245.4411518805866-33.4411518805866
2394047.3806447170604-7.38064471706036
2404342.49474977015550.505250229844497
2413342.6131165029887-9.61311650298871
2427761.536703909615115.4632960903849
2434344.501500605931-1.50150060593104
2444539.11637302670545.88362697329456
2454742.40097677971264.59902322028744
2464349.8776552252348-6.87765522523479
2474547.5298742849072-2.52987428490718
2485040.99627991900479.00372008099527
2493529.19144786416465.80855213583544
250718.0472622838271-11.0472622838271
2517163.82907822214697.17092177785313
2526762.63820849481474.36179150518533
25300.0217040007547186-0.0217040007547186
2546248.935229944334213.0647700556658
2555446.20144724324187.79855275675821
25647.33076469067887-3.33076469067887
2572528.5100392588175-3.51003925881747
2584045.2308584144841-5.23085841448412
2593841.9979598222488-3.9979598222488
2601923.2208280969004-4.22082809690036
2611739.5375047181901-22.5375047181901
2626749.38732321951917.6126767804809
2631415.2669475216268-1.26694752162682
2643042.6382923878877-12.6382923878877
2655439.581032653046114.4189673469539
2663540.8509656505337-5.85096565053365
2675951.16912178744987.83087821255025
2682434.4308939356929-10.4308939356929
2695845.518381491984612.4816185080154
2704262.3375287903874-20.3375287903874
2714651.9593708057788-5.95937080577881
2726144.545255030028816.4547449699712
2733-0.88721409090123.8872140909012
2745247.78047506561044.21952493438962
2752527.6501377166433-2.65013771664325
2764054.2590775484395-14.2590775484395
2773231.97722598461170.0227740153883305
27842.593638300239111.40636169976089
2794940.47501443884938.52498556115074
2806345.862803453794117.1371965462059
2816753.165619002181313.8343809978187
2823245.1986599812632-13.1986599812632
2832332.3924122873522-9.39241228735223
28477.71286461891511-0.71286461891511
2855442.272809669168611.7271903308314
2863755.632987952187-18.632987952187
2873530.55953258211474.44046741788534
2885143.08994166392817.91005833607187
2893943.1507486086708-4.15074860867081


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
80.6074100181629710.7851799636740580.392589981837029
90.5696087162900260.8607825674199480.430391283709974
100.4329259785406520.8658519570813040.567074021459348
110.3416695432970160.6833390865940320.658330456702984
120.5991612240305860.8016775519388280.400838775969414
130.6843416071057770.6313167857884460.315658392894223
140.6005385131679750.7989229736640510.399461486832025
150.5106935053547940.9786129892904130.489306494645206
160.6691385569896190.6617228860207620.330861443010381
170.6291459475092190.7417081049815610.370854052490781
180.550792540783060.8984149184338810.44920745921694
190.7573139401728420.4853721196543150.242686059827158
200.7436410822177540.5127178355644910.256358917782246
210.7021045259263320.5957909481473360.297895474073668
220.6373748132866940.7252503734266120.362625186713306
230.6720780284868020.6558439430263970.327921971513199
240.6557255836455080.6885488327089830.344274416354492
250.8102337808311170.3795324383377660.189766219168883
260.7684496455048770.4631007089902450.231550354495122
270.7732419131881060.4535161736237890.226758086811894
280.7277120615252370.5445758769495250.272287938474763
290.7147099369768680.5705801260462630.285290063023132
300.6999373215856420.6001253568287160.300062678414358
310.6508766106493840.6982467787012320.349123389350616
320.6457959850462050.708408029907590.354204014953795
330.5921826428053950.815634714389210.407817357194605
340.5982143616905270.8035712766189460.401785638309473
350.6451672632007460.7096654735985090.354832736799254
360.6228815762086360.7542368475827280.377118423791364
370.5938080213322410.8123839573355180.406191978667759
380.5537638551619190.8924722896761620.446236144838081
390.5329510839693590.9340978320612820.467048916030641
400.5276963693911850.944607261217630.472303630608815
410.5328865847200350.9342268305599310.467113415279965
420.4829544520806340.9659089041612690.517045547919366
430.4527690874376850.9055381748753690.547230912562315
440.4427442589186020.8854885178372050.557255741081398
450.4147665828391590.8295331656783170.585233417160841
460.3896550835056890.7793101670113770.610344916494311
470.403100555640890.8062011112817810.59689944435911
480.3582958074299720.7165916148599440.641704192570028
490.3150248404873320.6300496809746640.684975159512668
500.9914299954453370.01714000910932670.00857000455466334
510.9885425458471050.02291490830579080.0114574541528954
520.9855768458222940.02884630835541170.0144231541777059
530.9848981649038690.03020367019226140.0151018350961307
540.9808800847578250.03823983048434960.0191199152421748
550.9765692273133260.04686154537334750.0234307726866738
560.9732692512312250.05346149753754930.0267307487687747
570.9661399450947150.06772010981056940.0338600549052847
580.9687917373182310.06241652536353750.0312082626817687
590.9677061338782510.06458773224349820.0322938661217491
600.959541276082540.08091744783491990.04045872391746
610.9499472779182070.1001054441635860.0500527220817932
620.9542919698088940.09141606038221220.0457080301911061
630.9469232498648990.1061535002702030.0530767501351015
640.937730510283670.1245389794326610.0622694897163304
650.9253095010095360.1493809979809280.074690498990464
660.912835482323280.1743290353534390.0871645176767197
670.8998531493510980.2002937012978040.100146850648902
680.889175758853320.221648482293360.11082424114668
690.9367006831809720.1265986336380550.0632993168190277
700.9669776876505990.06604462469880120.0330223123494006
710.9689516672713780.06209666545724450.0310483327286222
720.9683536132270280.06329277354594370.0316463867729719
730.9634257317935790.07314853641284280.0365742682064214
740.9608548199813120.07829036003737590.0391451800186879
750.9533218065072160.09335638698556770.0466781934927838
760.9526336857580060.09473262848398850.0473663142419942
770.9533155448521540.09336891029569250.0466844551478463
780.9545546071389840.0908907857220320.045445392861016
790.9468356253085680.1063287493828650.0531643746914324
800.9714424075640020.05711518487199670.0285575924359984
810.9743864631008520.05122707379829580.0256135368991479
820.971067650867290.05786469826542060.0289323491327103
830.9656626734919820.06867465301603650.0343373265080182
840.9623690624149670.07526187517006540.0376309375850327
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1800.9999360577579770.0001278844840452236.39422420226114e-05
1810.9999080024994230.0001839950011540159.19975005770075e-05
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1870.9999852299771042.9540045791505e-051.47700228957525e-05
1880.9999784297738554.3140452290284e-052.1570226145142e-05
1890.9999700223702065.99552595874028e-052.99776297937014e-05
1900.9999975570807214.88583855892963e-062.44291927946482e-06
1910.999999669856976.60286060514619e-073.3014303025731e-07
1920.9999994649555531.07008889438359e-065.35044447191795e-07
1930.9999991322925041.7354149909993e-068.67707495499651e-07
1940.9999986143266442.77134671156719e-061.38567335578359e-06
1950.9999981441116023.71177679646907e-061.85588839823453e-06
1960.9999972948643165.41027136825281e-062.7051356841264e-06
1970.9999975171231564.96575368798721e-062.48287684399361e-06
1980.9999963313391497.33732170254811e-063.66866085127405e-06
1990.9999948778255671.0244348866717e-055.1221744333585e-06
2000.9999950114185429.97716291637908e-064.98858145818954e-06
2010.9999922070797621.55858404767803e-057.79292023839015e-06
2020.9999963887150397.22256992099431e-063.61128496049715e-06
2030.9999973147671165.37046576781608e-062.68523288390804e-06
2040.9999967163150666.56736986790932e-063.28368493395466e-06
2050.9999949706121051.00587757906103e-055.02938789530513e-06
2060.9999962231962787.55360744459098e-063.77680372229549e-06
2070.9999949544655521.00910688963588e-055.04553444817939e-06
2080.9999926990016571.46019966862261e-057.30099834311306e-06
2090.9999886573523962.2685295208821e-051.13426476044105e-05
2100.9999931100815541.37798368915159e-056.88991844575797e-06
2110.9999891233811682.17532376647176e-051.08766188323588e-05
2120.9999832011981963.35976036080521e-051.6798801804026e-05
2130.999973573753795.28524924202774e-052.64262462101387e-05
2140.9999728183083715.43633832576772e-052.71816916288386e-05
2150.9999578644545498.42710909013406e-054.21355454506703e-05
2160.9999786448252994.27103494014064e-052.13551747007032e-05
2170.9999702743923265.94512153478367e-052.97256076739183e-05
2180.9999535487749969.29024500081264e-054.64512250040632e-05
2190.9999360395954190.000127920809161736.39604045808652e-05
2200.9999249095166130.0001501809667745567.50904833872782e-05
2210.9999086925995420.0001826148009153939.13074004576964e-05
2220.9998676513636210.0002646972727589170.000132348636379459
2230.9998020036171120.0003959927657751150.000197996382887558
2240.9997065749227260.0005868501545477790.00029342507727389
2250.9995591729692740.0008816540614526890.000440827030726344
2260.9994324604976850.001135079004629230.000567539502314617
2270.9996631835298340.0006736329403322030.000336816470166101
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2290.9995217079529710.0009565840940583740.000478292047029187
2300.9996547810976590.0006904378046811040.000345218902340552
2310.9995438069899750.0009123860200490190.000456193010024509
2320.9993337220108380.001332555978324710.000666277989162357
2330.999127360466980.001745279066039370.000872639533019686
2340.9989129586431120.002174082713775640.00108704135688782
2350.9989997347900950.00200053041980990.00100026520990495
2360.9985313482668860.002937303466227370.00146865173311368
2370.9978674277342520.004265144531496090.00213257226574805
2380.999928881312270.0001422373754592067.11186877296029e-05
2390.9999175251281020.0001649497437951288.24748718975639e-05
2400.9998666791301070.0002666417397860140.000133320869893007
2410.9998978886742930.0002042226514137940.000102111325706897
2420.9998532474448550.000293505110289510.000146752555144755
2430.9997565217431040.0004869565137919170.000243478256895958
2440.9996816703808740.0006366592382520.000318329619126
2450.9994815481151670.001036903769665080.000518451884832541
2460.9993635594192650.001272881161470870.000636440580735435
2470.999005372890150.001989254219699550.000994627109849773
2480.9984419054670440.003116189065912130.00155809453295607
2490.9980572819033350.003885436193330880.00194271809666544
2500.9977953805666380.004409238866723560.00220461943336178
2510.9970266609610480.005946678077904730.00297333903895236
2520.9953983229383310.009203354123338490.00460167706166924
2530.9929993765458490.01400124690830260.0070006234541513
2540.992725545056660.01454890988667940.0072744549433397
2550.9894266452672250.02114670946555020.0105733547327751
2560.9845460564599610.03090788708007760.0154539435400388
2570.9774929971647980.04501400567040370.0225070028352018
2580.967765189895880.06446962020824040.0322348101041202
2590.9584162501643550.08316749967129040.0415837498356452
2600.9501441106434360.09971177871312780.0498558893565639
2610.9776859537319040.04462809253619250.0223140462680962
2620.9849051086006540.03018978279869170.0150948913993459
2630.9785816442803260.04283671143934770.0214183557196739
2640.9747137677419390.05057246451612180.0252862322580609
2650.9843266084309250.03134678313815010.0156733915690751
2660.9805430773627920.03891384527441580.0194569226372079
2670.9758213591227170.04835728175456590.0241786408772829
2680.9673116657446210.06537666851075870.0326883342553794
2690.9502055388196610.09958892236067860.0497944611803393
2700.9665871160618780.0668257678762450.0334128839381225
2710.971217299280690.05756540143862020.0287827007193101
2720.9740335386209730.05193292275805440.0259664613790272
2730.9589186229406730.08216275411865390.041081377059327
2740.9324617979970810.1350764040058370.0675382020029187
2750.8960040228342820.2079919543314370.103995977165718
2760.872082628274930.2558347434501390.12791737172507
2770.8143927529878810.3712144940242380.185607247012119
2780.718290918753170.5634181624936590.28170908124683
2790.5969110801082060.8061778397835870.403088919891794
2800.5584380801528250.883123839694350.441561919847175
2810.5841877003437990.8316245993124010.415812299656201


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1560.569343065693431NOK
5% type I error level1790.653284671532847NOK
10% type I error level2130.777372262773723NOK