Multiple Linear Regression - Estimated Regression Equation
Time_RFC_sec[t] = + 48827.3436391444 + 17275.6764601015Pop[t] -23157.0959244618Gender[t] + 1.52537075933019Compendium_writing_time_sec[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)48827.343639144411111.7124244.39422e-051e-05
Pop17275.676460101520538.7028040.84110.4015320.200766
Gender-23157.095924461821253.494797-1.08960.2775420.138771
Compendium_writing_time_sec1.525370759330190.07248821.04300


Multiple Linear Regression - Regression Statistics
Multiple R0.860703455173917
R-squared0.740810437748319
Adjusted R-squared0.7359506334561
F-TEST (value)152.43626969391
F-TEST (DF numerator)3
F-TEST (DF denominator)160
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation52628.8020674177
Sum Squared Residuals443166529128.228


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1264530300695.038048986-36165.0380489857
2135248212452.339621735-77204.3396217345
3207253191444.93352423915808.0664757609
4202898201774.7443064231123.25569357675
5145249188592.490204292-43343.4902042917
665295121361.773986814-56066.7739868136
7439387405661.90148153433725.0985184664
83318659280.7094528342-26094.7094528342
9183696208045.54349803-24349.5434980296
10190673198971.112850774-8298.11285077429
11287239288232.758945258-993.758945258312
12205260173628.60305526331631.3969447375
13141987139187.2566803462799.74331965383
14322679203100.291496281119578.708503719
15199717212283.023467449-12566.0234674488
16349227286020.9713442363206.0286557705
17276709287203.13368271-10494.1336827104
18273576234582.41859809738993.5814019031
19157448209047.71208691-51599.7120869095
20242782229829.36331202412952.636687976
21256814248936.1574433947877.84255660603
22405874270045.763381764135828.236618236
23161189212066.420819624-50877.420819624
24156189181903.739424629-25714.7394246288
25200181188702.31689896311478.6831010365
26192645216750.834421527-24105.834421527
27249893270687.944471442-20794.9444714425
28241171267423.651046476-26252.6510464759
29143182142909.161333112272.838666888178
30285266369277.232759231-84011.2327592306
31243048300521.145782422-57473.1457824223
32176062198017.756126193-21955.7561261929
33305210330214.012983544-25004.0129835438
348799591211.295557893-3216.29555789304
35343613330194.18316367313418.8168363275
36264159199480.58668439164678.4133156094
37394976321016.02730478373959.9726952172
38192718202308.624072189-9590.62407218874
39114673137895.267647193-23222.2676471935
40310108280183.37744827329924.6225517271
41292891238639.90481791554251.0951820848
42157518170748.703061647-13230.7030616471
43180362236545.570765355-56183.5707653548
44146175125806.70437950220368.2956204983
45140319202876.06199466-62557.0619946596
46405267169891.444694904235375.555305096
4778800135724.665056667-56924.6650566666
48201970210908.664413292-8938.66441329235
49305322320971.791552762-15649.7915527622
50164733199106.870848355-34373.8708483547
51199186260073.972300953-60887.9723009528
522418848625.5522718426-24437.5522718426
53346142291813.88706109554328.1129389046
546502963970.78211070431058.21788929567
5510109795568.83739022925528.16260977078
56255082203790.84202318751291.1579768125
57287314314194.126841988-26880.126841988
58308944339484.10127161-30540.1012716102
59280943326483.366289839-45540.366289839
60225816145920.65339564779895.3466043535
61348943330626.2732721818316.7267278201
62283283353538.867448079-70255.8674480786
63199642176007.06625267523634.9337473248
64232791212071.40711551920719.5928844811
65212262263752.493812385-51490.493812385
66201345240977.183004826-39632.1830048259
67180424183568.329106675-3144.32910667493
68204450227756.794633711-23306.7946337112
69197813189715.5732667768097.42673322441
70138731171272.315415714-32541.3154157143
71216153192371.24375876923781.7562412305
727356679286.3571450665-5720.35714506651
73219392200844.67832684918547.3216731513
74181728182232.104321502-504.104321501682
75150006173223.264616898-23217.2646168976
76325723189184.744242529136538.255757471
77265348262364.4064213942983.59357860548
78202410279968.710354824-77558.7103548243
79173420156477.74442097116942.2555790292
80162366155829.4618482556536.53815174456
81136341152752.789026686-16411.7890266864
82390163272710.996281931117452.003718069
83145905147555.850849648-1650.85084964848
84238921225769.23653430413151.763465696
8580953128049.409579334-47096.409579334
8613330181319.676367253651981.3236327463
87138630181594.499344102-42964.4993441017
88334082222192.242103675111889.757896325
89277542263779.95048605313762.0495139471
90170849161206.3937748949642.60622510564
91236398200246.73298919136151.2670108088
92207178202604.9561831164573.0438168843
93157125168657.829934222-11532.8299342223
94242395168621.22103599873773.7789640016
95273632238873.6967277134758.3032722904
96178489213088.829411992-34599.8294119921
97207720250469.565240138-42749.5652401377
98268066343835.984047979-75769.9840479793
99349934290176.49147626259757.5085237381
100368833357608.55663397211224.4433660284
101247804210520.1050532837283.89494672
102265849320754.073717795-54905.0737177948
103174311156079.62265278618231.3773472144
1044328772888.9521804357-29601.9521804357
105176724178145.636057256-1421.63605725611
106189021238683.025382793-49662.0253827933
107237531224367.4208064813163.5791935205
108279589236735.12692312942853.8730768713
109106655315036.984111825-208381.984111825
110135798149082.746979738-13284.746979738
111290495299237.193786683-8742.19378668319
112266805216224.99169317550580.0083068251
1132362351855.6147800317-28232.6147800317
114174970184982.347800574-10012.347800574
1156185780485.2985619001-18628.2985619001
116147760135400.17126854612359.8287314538
117358662388625.445654192-29963.4456541917
1182105453046.9293430686-31992.9293430686
119230091229035.055330031055.94466997011
1203141463012.1765137728-31598.1765137728
121284519278094.0296916076424.97030839257
122209481162670.74970385146810.2502961487
12316169176514.758475363685176.2415246364
124137093153581.065349003-16488.0653490027
1253821464275.1835024982-26061.1835024982
126166059154903.56179734211155.438202658
127319346262413.21828569356932.7817143069
128186273225923.298980996-39650.2989809963
129374212319889.18849725554322.8115027453
130275578360583.029614665-85005.0296146654
131368863404588.450650582-35725.4506505821
132179928211189.742816626-31261.742816626
13394381136594.536573102-42213.5365731017
134251253167141.61139944884111.3886005519
135382564334526.64630378748037.3536962128
13611803360942.248393361757090.7516066383
137370878249975.345114115120902.654885885
138147989147607.713455466381.286544534287
139236370256384.95304482-20014.9530448202
140193220203419.504168598-10199.504168598
141189020165491.16023785323528.8397621471
142341992228089.325459245113902.674540755
143224936233498.29017183-8562.29017183003
14417326059573.9908222425113686.009177758
145286161249589.42631200436571.5736879958
146130908144222.915740512-13314.915740512
147209639247408.146126162-37769.146126162
148262412277172.705752972-14760.705752972
149142945.9241747841-42944.9241747841
1501468855077.1978237371-40389.1978237371
1519842945.9241747841-42847.9241747841
15245542945.9241747841-42490.9241747841
153042945.9241747841-42945.9241747841
154042945.9241747841-42945.9241747841
155195822193838.6504292451983.3495707549
156347930295234.62091420152695.3790857992
157042945.9241747841-42945.9241747841
15820342945.9241747841-42742.9241747841
159719949421.1230481408-42222.1230481408
1604666075755.1238372172-29095.1238372172
1611754754645.5178988467-37098.5178988467
16210746566081.222481545141383.7775184549
16396942945.9241747841-41976.9241747841
164179994140403.38735914939590.6126408508


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.5245296853875010.9509406292249970.475470314612499
80.4061374353941020.8122748707882030.593862564605898
90.2668682587256690.5337365174513370.733131741274331
100.1748653903924260.3497307807848520.825134609607574
110.1041178895875440.2082357791750890.895882110412456
120.1389170806219730.2778341612439450.861082919378028
130.1018669566512420.2037339133024840.898133043348758
140.5705283200320440.8589433599359120.429471679967956
150.4803202324163910.9606404648327820.519679767583609
160.4914321857122070.9828643714244140.508567814287793
170.4177231533142760.8354463066285510.582276846685724
180.3775596807241810.7551193614483620.622440319275819
190.3714623053937120.7429246107874240.628537694606288
200.3035966530227890.6071933060455780.696403346977211
210.2399122958361580.4798245916723160.760087704163842
220.5730180767336490.8539638465327030.426981923266351
230.5693221685804390.8613556628391210.430677831419561
240.5101862181219240.9796275637561520.489813781878076
250.4483579957751320.8967159915502640.551642004224868
260.3974810232781640.7949620465563270.602518976721836
270.3570595782445050.7141191564890090.642940421755495
280.3233149206151170.6466298412302340.676685079384883
290.2720398210924650.544079642184930.727960178907535
300.418522141723410.837044283446820.58147785827659
310.4315138878515510.8630277757031020.568486112148449
320.3803223062152620.7606446124305230.619677693784738
330.3373028460404120.6746056920808240.662697153959588
340.2863150080692410.5726300161384830.713684991930759
350.2423757998841050.484751599768210.757624200115895
360.2753071033996370.5506142067992740.724692896600363
370.3201636979279410.6403273958558820.679836302072059
380.2726710204976430.5453420409952870.727328979502357
390.2341690053757180.4683380107514360.765830994624282
400.2046618760237160.4093237520474320.795338123976284
410.2078774597698160.4157549195396330.792122540230184
420.1723457843736930.3446915687473870.827654215626307
430.1804444962585970.3608889925171930.819555503741403
440.155265443927750.3105308878554990.84473455607225
450.1730972897610330.3461945795220660.826902710238967
460.9261855754117370.1476288491765260.0738144245882631
470.9230413822209750.153917235558050.0769586177790249
480.9043042583377520.1913914833244950.0956957416622477
490.8840177223952410.2319645552095180.115982277604759
500.865023660113630.2699526797727410.13497633988637
510.8515266822548730.2969466354902530.148473317745127
520.8325414678442210.3349170643115580.167458532155779
530.8467219540631460.3065560918737080.153278045936854
540.8181185842403580.3637628315192850.181881415759642
550.7862422337243410.4275155325513190.213757766275659
560.7827517642617330.4344964714765340.217248235738267
570.7551694397497040.4896611205005930.244830560250296
580.7208317154915430.5583365690169130.279168284508457
590.6922016808422180.6155966383155640.307798319157782
600.7632905723623290.4734188552753420.236709427637671
610.7291297969995220.5417404060009560.270870203000478
620.7530562919173710.4938874161652580.246943708082629
630.723438709585070.553122580829860.27656129041493
640.6890136650266060.6219726699467870.310986334973394
650.6838680850540930.6322638298918150.316131914945907
660.6612388081848580.6775223836302840.338761191815142
670.6181509498105890.7636981003788210.381849050189411
680.5795464897295630.8409070205408740.420453510270437
690.5366049473192360.9267901053615270.463395052680763
700.5042021113916280.9915957772167440.495797888608372
710.471069831313610.942139662627220.52893016868639
720.4258212349814220.8516424699628430.574178765018578
730.3888381650111520.7776763300223040.611161834988848
740.3458455310587210.6916910621174410.654154468941279
750.3109353220805570.6218706441611140.689064677919443
760.5596182135304720.8807635729390560.440381786469528
770.5145172012451670.9709655975096670.485482798754833
780.5630098992260790.8739802015478430.436990100773921
790.5221341513047050.955731697390590.477865848695295
800.4772746840988140.9545493681976270.522725315901186
810.4367465421655540.8734930843311080.563253457834446
820.6101120006119320.7797759987761350.389887999388067
830.5661688288861010.8676623422277980.433831171113899
840.523394225352910.9532115492941790.47660577464709
850.5156154343889940.9687691312220120.484384565611006
860.5107776272417740.9784447455164520.489222372758226
870.4961031665731020.9922063331462040.503896833426898
880.6443400450968230.7113199098063550.355659954903177
890.6035208137505090.7929583724989830.396479186249491
900.5601933685644770.8796132628710460.439806631435523
910.5344121141081510.9311757717836980.465587885891849
920.4891419286517410.9782838573034820.510858071348259
930.4465597813931320.8931195627862650.553440218606868
940.4854666828679390.9709333657358780.514533317132061
950.4585209031217050.917041806243410.541479096878295
960.433525054823750.86705010964750.56647494517625
970.4180178623123160.8360357246246310.581982137687684
980.464734291536860.929468583073720.53526570846314
990.4755341385626590.9510682771253170.524465861437341
1000.4314090444296950.8628180888593910.568590955570305
1010.4075266145041360.8150532290082710.592473385495864
1020.4105424008901580.8210848017803170.589457599109842
1030.3706905186352570.7413810372705150.629309481364743
1040.3421111976331820.6842223952663640.657888802366818
1050.3000609355190040.6001218710380080.699939064480996
1060.294927021966990.5898540439339790.70507297803301
1070.2572757840913890.5145515681827770.742724215908611
1080.2427681402799640.4855362805599280.757231859720036
1090.8722583659146390.2554832681707220.127741634085361
1100.8468296438679850.3063407122640290.153170356132015
1110.8198302876681980.3603394246636050.180169712331802
1120.8138647177410470.3722705645179050.186135282258953
1130.7880849567740480.4238300864519050.211915043225952
1140.7519022178552640.4961955642894710.248097782144736
1150.7150019657374280.5699960685251440.284998034262572
1160.6729016423236320.6541967153527360.327098357676368
1170.6625513239013250.6748973521973490.337448676098675
1180.6288067138583260.7423865722833490.371193286141674
1190.5797537895782060.8404924208435870.420246210421794
1200.5432841041385220.9134317917229550.456715895861478
1210.4925284502567380.9850569005134760.507471549743262
1220.4768837444510030.9537674889020070.523116255548997
1230.5776513631907030.8446972736185930.422348636809297
1240.5295145776085530.9409708447828940.470485422391447
1250.4839892789138160.9679785578276320.516010721086184
1260.4318278566460670.8636557132921340.568172143353933
1270.4247621732534480.8495243465068950.575237826746552
1280.4080751743257940.8161503486515880.591924825674206
1290.3900434279191420.7800868558382840.609956572080858
1300.5552159048821420.8895681902357150.444784095117858
1310.6318862247570690.7362275504858620.368113775242931
1320.6243026051488580.7513947897022830.375697394851142
1330.6116941260927640.7766117478144720.388305873907236
1340.6785713368500790.6428573262998420.321428663149921
1350.6309145165805860.7381709668388270.369085483419414
1360.6889728852377410.6220542295245190.311027114762259
1370.8401480572048090.3197038855903820.159851942795191
1380.7956067797752040.4087864404495910.204393220224796
1390.7785288497929930.4429423004140150.221471150207007
1400.7349527711356560.5300944577286880.265047228864344
1410.6822804084798030.6354391830403930.317719591520197
1420.8563653678026240.2872692643947520.143634632197376
1430.8153685663471480.3692628673057040.184631433652852
1440.9966489557462460.0067020885075080.003351044253754
1450.9951446248432970.00971075031340520.0048553751567026
1460.9907756259724070.01844874805518540.0092243740275927
1470.9944333268021190.01113334639576120.00556667319788061
1480.9977865070359110.004426985928177740.00221349296408887
1490.9953122721567490.009375455686501160.00468772784325058
1500.9905305609874380.01893887802512510.00946943901256253
1510.9811782635569260.03764347288614730.0188217364430736
1520.963887387179790.07222522564042020.0361126128202101
1530.9339240266437950.132151946712410.066075973356205
1540.8847762260715330.2304475478569350.115223773928467
1550.8258636738419610.3482726523160790.174136326158039
1560.8291103651298120.3417792697403770.170889634870188
1570.6889763414834270.6220473170331460.311023658516573


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level40.0264900662251656NOK
5% type I error level80.0529801324503311NOK
10% type I error level90.0596026490066225OK