Multiple Linear Regression - Estimated Regression Equation
#Miles[t] = + 7747.17412280702 + 54.4034115572436t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7747.17412280702330.54183123.437800
t54.40341155724365.917499.193700


Multiple Linear Regression - Regression Statistics
Multiple R0.6880832236771
R-squared0.47345852270587
Adjusted R-squared0.467857017628273
F-TEST (value)84.5234479210663
F-TEST (DF numerator)1
F-TEST (DF denominator)94
p-value9.54791801177635e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1606.68298860349
Sum Squared Residuals242654441.231577


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
168277801.57753436426-974.577534364261
261787855.9809459215-1677.9809459215
370847910.38435747875-826.384357478748
481627964.78776903599197.212230964008
584628019.19118059324442.808819406764
696448073.594592150481570.40540784952
7104668127.998003707722338.00199629228
8107488182.401415264972565.59858473503
999638236.804826822211726.19517317779
1081948291.20823837945-97.2082383794536
1168488345.6116499367-1497.6116499367
1270278400.01506149394-1373.01506149394
1372698454.41847305118-1185.41847305118
1467758508.82188460843-1733.82188460843
1578198563.22529616567-744.225296165672
1683718617.62870772292-246.628707722916
1790698672.03211928016396.967880719841
18102488726.43553083741521.5644691626
19110308780.838942394652249.16105760535
20108828835.242353951892046.75764604811
21103338889.645765509131443.35423449087
2291098944.04917706638164.950822933623
2376858998.45258862362-1313.45258862362
2476029052.85600018086-1450.85600018086
2583509107.25941173811-757.259411738108
2678299161.66282329535-1332.66282329535
2788299216.06623485259-387.066234852595
2899489270.46964640984677.530353590161
29106389324.873057967081313.12694203292
30112539379.276469524331873.72353047567
31114249433.679881081571990.32011891843
32113919488.083292638811902.91670736119
33106659542.486704196061122.51329580394
3493969596.8901157533-200.890115753301
3577759651.29352731054-1876.29352731054
3679339705.69693886779-1772.69693886779
3781869760.10035042503-1574.10035042503
3874449814.50376198228-2370.50376198228
3984849868.90717353952-1384.90717353952
4098649923.31058509676-59.3105850967625
41102529977.71399665401274.286003345994
421228210032.11740821132249.88259178875
431163710086.52081976851550.47918023151
441157710140.92423132571436.07576867426
451241710195.3276428832221.67235711702
46963710249.7310544402-612.731054440224
47809410304.1344659975-2210.13446599747
48928010358.5378775547-1078.53787755471
49833410412.941289112-2078.94128911196
50789910467.3447006692-2568.3447006692
51999410521.7481122264-527.748112226442
521007810576.1515237837-498.151523783686
531080110630.5549353409170.44506465907
541295010684.95834689822265.04165310183
551222210739.36175845541482.63824154458
561224610793.76517001271452.23482998734
571328110848.16858156992432.8314184301
581036610902.5719931271-536.571993127148
59873010956.9754046844-2226.97540468439
60961411011.3788162416-1397.37881624163
61863911065.7822277989-2426.78222779888
62877211120.1856393561-2348.18563935612
631089411174.5890509134-280.589050913366
641045511228.9924624706-773.99246247061
651117911283.3958740279-104.395874027853
661058811337.7992855851-749.799285585097
671079411392.2026971423-598.20269714234
681277011446.60610869961323.39389130042
691381211501.00952025682310.99047974317
701085711555.4129318141-698.412931814071
71929011609.8163433713-2319.81634337131
721092511664.2197549286-739.219754928558
73949111718.6231664858-2227.6231664858
74891911773.026578043-2854.02657804305
751160711827.4299896003-220.429989600289
76885211881.8334011575-3029.83340115753
771253711936.2368127148600.763187285223
781475911990.6402242722768.35977572798
791366712045.04363582931621.95636417074
801373112099.44704738651631.55295261349
811511012153.85045894382956.14954105625
821218512208.253870501-23.253870500995
831064512262.6572820582-1617.65728205824
841216112317.0606936155-156.060693615482
851084012371.4641051727-1531.46410517273
861043612425.86751673-1989.86751672997
871358912480.27092828721108.72907171279
881340212534.6743398445867.325660155543
891310312589.0777514017513.9222485983
901493312643.48116295892289.51883704106
911414712697.88457451621449.11542548381
921405712752.28798607341304.71201392657
931623412806.69139763073427.30860236933
941238912861.0948091879-472.094809187919
951159512915.4982207452-1320.49822074516
961277212969.9016323024-197.901632302406


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
50.0439267426237910.08785348524758190.956073257376209
60.01886981993643170.03773963987286340.981130180063568
70.007265390484897390.01453078096979480.992734609515103
80.002143324665062870.004286649330125730.997856675334937
90.006564073837285440.01312814767457090.993435926162715
100.1266766512124810.2533533024249630.873323348787519
110.4326586080663380.8653172161326760.567341391933662
120.5167584507104880.9664830985790240.483241549289512
130.4984721424280480.9969442848560970.501527857571952
140.494671738837470.9893434776749390.50532826116253
150.4114819234770490.8229638469540980.588518076522951
160.3319352489941430.6638704979882860.668064751005857
170.2762638991571980.5525277983143950.723736100842802
180.2854732981666120.5709465963332250.714526701833388
190.3348960579172920.6697921158345830.665103942082709
200.3343944359523790.6687888719047570.665605564047622
210.2880718862707870.5761437725415750.711928113729213
220.2402664793931910.4805329587863820.759733520606809
230.268559153577530.5371183071550590.73144084642247
240.2832199407967930.5664398815935860.716780059203207
250.2434608287836480.4869216575672950.756539171216352
260.2267876732392830.4535753464785660.773212326760717
270.1793940408403510.3587880816807020.820605959159649
280.1477792020096860.2955584040193730.852220797990314
290.1373540126974830.2747080253949660.862645987302517
300.14837137748380.29674275496760.8516286225162
310.1606609663281930.3213219326563860.839339033671807
320.1655798011876040.3311596023752080.834420198812396
330.1424511499072040.2849022998144090.857548850092796
340.1199437615507620.2398875231015240.880056238449238
350.1560938997299640.3121877994599270.843906100270036
360.1743850745796980.3487701491593960.825614925420302
370.1728215171157610.3456430342315220.827178482884239
380.2110573683464730.4221147366929460.788942631653527
390.1888852676338670.3777705352677330.811114732366133
400.1511435093546330.3022870187092670.848856490645367
410.122021034458380.244042068916760.87797896554162
420.1721927662619480.3443855325238960.827807233738052
430.1805954158592770.3611908317185530.819404584140723
440.1837201679734070.3674403359468140.816279832026593
450.2445455805004710.4890911610009410.755454419499529
460.2099756423378250.4199512846756490.790024357662175
470.2377074307114220.4754148614228440.762292569288578
480.2064816671574460.4129633343148930.793518332842553
490.2147393412870040.4294786825740090.785260658712996
500.2530631305796550.5061262611593090.746936869420345
510.208210848289650.41642169657930.79178915171035
520.1683056133526130.3366112267052260.831694386647387
530.1373530671505470.2747061343010940.862646932849453
540.2010662905656210.4021325811312430.798933709434379
550.2200313957534540.4400627915069080.779968604246546
560.2443677171972990.4887354343945980.755632282802701
570.392582947875390.785165895750780.60741705212461
580.3480695516389150.696139103277830.651930448361085
590.3521738467936540.7043476935873090.647826153206346
600.3129764301039210.6259528602078420.687023569896079
610.326918585641320.6538371712826410.67308141435868
620.3376753728196430.6753507456392860.662324627180357
630.2844249578335060.5688499156670120.715575042166494
640.2349117829372470.4698235658744940.765088217062753
650.1922633130911670.3845266261823350.807736686908833
660.1527422111218190.3054844222436370.847257788878181
670.1183055095740190.2366110191480390.881694490425981
680.1261559603218350.2523119206436690.873844039678165
690.2225037714881550.4450075429763090.777496228511846
700.1786018507038320.3572037014076640.821398149296168
710.1774274481181380.3548548962362760.822572551881862
720.1372992649640630.2745985299281260.862700735035937
730.1413421322269650.2826842644539290.858657867773035
740.2144844553367850.4289689106735710.785515544663215
750.1704972040552690.3409944081105370.829502795944731
760.381553802749630.7631076054992610.61844619725037
770.3280407449335110.6560814898670210.671959255066489
780.3950914212911520.7901828425823050.604908578708848
790.367896848358550.73579369671710.63210315164145
800.3521171389645090.7042342779290180.647882861035491
810.5868321436781010.8263357126437990.413167856321899
820.5089683245322140.9820633509355710.491031675467786
830.4712776855145110.9425553710290220.528722314485489
840.3787182815288650.757436563057730.621281718471135
850.3902007798366580.7804015596733160.609799220163342
860.6792826147160260.6414347705679480.320717385283974
870.5994893696683890.8010212606632230.400510630331611
880.5434048481347630.9131903037304740.456595151865237
890.611258086720730.777483826558540.38874191327927
900.4831272456371020.9662544912742040.516872754362898
910.3796482831543820.7592965663087630.620351716845619


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level10.0114942528735632NOK
5% type I error level40.0459770114942529OK
10% type I error level50.0574712643678161OK