Multiple Linear Regression - Estimated Regression Equation
ktot[t] = + 105.065867086302 -0.0486175142110252vmtot[t] + 0.0380062117884138M1[t] -0.201647603739741M2[t] -0.179270889616640M3[t] -0.173762836424627M4[t] -0.158416651952784M5[t] -0.21222427121419M6[t] -0.26500251046336M7[t] -0.283688585939234M8[t] -0.237265212191018M9[t] -0.0543179461956548M10[t] + 0.0224500909672896M11[t] + 0.0767557745848375t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)105.0658670863022.26554746.375500
vmtot-0.04861751421102520.022122-2.19770.0355650.017782
M10.03800621178841380.1566930.24260.809950.404975
M2-0.2016476037397410.156255-1.29050.2064180.103209
M3-0.1792708896166400.155919-1.14980.2590310.129516
M4-0.1737628364246270.156724-1.10870.2760790.13804
M5-0.1584166519527840.156277-1.01370.3185770.159289
M6-0.212224271214190.155908-1.36120.183260.09163
M7-0.265002510463360.156041-1.69830.099470.049735
M8-0.2836885859392340.158481-1.790.0832190.04161
M9-0.2372652121910180.158833-1.49380.1453370.072669
M10-0.05431794619565480.166577-0.32610.7465530.373276
M110.02245009096728960.1667150.13470.893750.446875
t0.07675577458483750.0088688.655800


Multiple Linear Regression - Regression Statistics
Multiple R0.975852123483842
R-squared0.952287366907923
Adjusted R-squared0.932278843353181
F-TEST (value)47.5940848060344
F-TEST (DF numerator)13
F-TEST (DF denominator)31
p-value1.11022302462516e-16
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.20392119736432
Sum Squared Residuals1.28909949676944


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1100.35100.2167808717300.133219128270414
2100.35100.0169335199860.333066480014129
3100.36100.1097457318460.250254268153627
4100.39100.1560325991070.233967400892937
5100.34100.1854179648320.154582035168482
6100.34100.2370504535390.102949546460546
7100.35100.2513044860330.0986955139670732
8100.43100.2947889308790.135211069121431
9100.47100.3722676158530.0977323841467326
10100.67100.6421803344180.0278196655822193
11100.75100.7422248805330.00777511946656353
12100.78100.833479874951-0.0534798749513622
13100.79100.888928493987-0.0989284939871578
14100.67100.720682526481-0.0506825264806321
15100.64100.830510868315-0.190510868314998
16100.64100.827694046223-0.187694046222554
17100.76100.975219971480-0.215219971479798
18100.79100.990389324529-0.200389324529465
19100.79100.990058102760-0.20005810275962
20100.9101.080215361248-0.18021536124786
21100.98101.169848424775-0.189848424775308
22101.11101.357111369181-0.247111369181086
23101.18101.435278033902-0.255278033901771
24101.22101.454092932145-0.234092932145278
25101.23101.512458602034-0.282458602033736
26101.09101.343726459385-0.253726459385096
27101.26101.413688439566-0.153688439566418
28101.28101.423998346311-0.143998346310954
29101.43101.474775418288-0.0447754182882581
30101.53101.5196014550070.0103985449933431
31101.54101.4935029507050.0464970492950365
32101.54101.601648689451-0.0616486894512825
33101.79101.7262863632110.0637136367893329
34102.18101.9607082964010.219291703598866
35102.37102.1224970855650.247502914435208
36102.46102.1724271929030.287572807096641
37102.46102.2118320322500.248167967750479
38102.03102.058657494148-0.0286574941484009
39102.26102.1660549602720.0939450397277893
40102.33102.2322750083590.0977249916405709
41102.44102.3345866454000.105413354599575
42102.5102.4129587669240.0870412330755766
43102.52102.4651344605020.0548655394975103
44102.66102.5533470184220.106652981577712
45102.72102.6915975961610.0284024038392427


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
170.1598896893206570.3197793786413150.840110310679343
180.09554629556253860.1910925911250770.904453704437461
190.05758855123661760.1151771024732350.942411448763382
200.05774494738783580.1154898947756720.942255052612164
210.1898696908173050.379739381634610.810130309182695
220.1620599182144180.3241198364288360.837940081785582
230.1290441528371920.2580883056743850.870955847162808
240.2460594846573330.4921189693146660.753940515342667
250.661836170018870.6763276599622590.338163829981129
260.5900645637777030.8198708724445950.409935436222297
270.6017793574105660.7964412851788670.398220642589434
280.4950089361036830.9900178722073660.504991063896317


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK