Multiple Linear Regression - Estimated Regression Equation
[t] = + 1.4791 -0.0183516666666665M1[t] -0.0120766666666666M2[t] -0.0254949999999999M3[t] -0.0196533333333333M4[t] + 0.0135083333333333M5[t] + 0.01743M6[t] -0.00954833333333338M7[t] + 0.00375333333333337M8[t] + 0.00901499999999997M9[t] + 0.000636666666666737M10[t] + 0.00929833333333332M11[t] -0.00308166666666667t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.47910.04476833.039400
M1-0.01835166666666650.05221-0.35150.7267520.363376
M2-0.01207666666666660.0548-0.22040.8265110.413256
M3-0.02549499999999990.05473-0.46580.6434410.32172
M4-0.01965333333333330.054667-0.35950.720790.360395
M50.01350833333333330.0546120.24740.805690.402845
M60.017430.0545640.31940.7507760.375388
M7-0.009548333333333380.054523-0.17510.8617180.430859
M80.003753333333333370.054490.06890.945370.472685
M90.009014999999999970.0544640.16550.8692270.434614
M100.0006366666666667370.0544450.01170.9907180.495359
M110.009298333333333320.0544340.17080.8650850.432542
t-0.003081666666666670.000635-4.85191.3e-057e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.583443416087813
R-squared0.340406219776216
Adjusted R-squared0.175507774720271
F-TEST (value)2.06433856705395
F-TEST (DF numerator)12
F-TEST (DF denominator)48
p-value0.0382316141532347
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.0860619003650538
Sum Squared Residuals0.355519233333333


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11.47611.457666666666670.0184333333333341
21.47211.460860.0112399999999999
31.4871.444360.04264
41.51671.447120.0695799999999999
51.58121.47720.104
61.5541.478040.0759600000000001
71.55081.447980.10282
81.57641.45820.1182
91.56111.460380.10072
101.47351.448920.02458
111.43031.4545-0.0242000000000001
121.27571.44212-0.16642
131.27271.42068666666667-0.147986666666667
141.39171.42388-0.0321800000000001
151.28161.40738-0.12578
161.26441.41014-0.14574
171.33081.44022-0.10942
181.32751.44106-0.11356
191.40981.411-0.00120000000000003
201.41341.42122-0.00782000000000005
211.41381.4234-0.00960000000000003
221.42721.411940.01526
231.46431.417520.04678
241.481.405140.07486
251.50231.383706666666670.118593333333333
261.44061.38690.0537000000000001
271.39661.37040.0262
281.3571.37316-0.01616
291.34791.40324-0.0553399999999999
301.33151.40408-0.0725800000000001
311.23071.37402-0.14332
321.22711.38424-0.15714
331.30281.38642-0.08362
341.2681.37496-0.10696
351.36481.38054-0.01574
361.38571.368160.01754
371.29981.34672666666667-0.0469266666666667
381.33621.34992-0.0137199999999999
391.36921.333420.0357799999999999
401.38341.336180.04722
411.42071.366260.0544400000000001
421.4861.36710.1189
431.43851.337040.10146
441.44531.347260.09804
451.4261.349440.07656
461.4451.337980.10702
471.35031.343560.00674000000000011
481.40011.331180.0689199999999999
491.34181.309746666666670.0320533333333333
501.29391.31294-0.0190399999999999
511.31761.296440.0211600000000001
521.34431.29920.0451000000000001
531.33561.329280.00631999999999996
541.32141.33012-0.00872
551.24031.30006-0.0597599999999999
561.2591.31028-0.05128
571.22841.31246-0.08406
581.26111.301-0.0398999999999999
591.2931.30658-0.01358
601.29931.29420.00509999999999997
611.29861.272766666666670.0258333333333332


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.3058874647909340.6117749295818680.694112535209066
170.2262574992808850.4525149985617710.773742500719115
180.144228433698810.288456867397620.85577156630119
190.1027474951960390.2054949903920780.897252504803961
200.05720630073602720.1144126014720540.942793699263973
210.03336051120292220.06672102240584440.966639488797078
220.07829423528678110.1565884705735620.921705764713219
230.2597786441681110.5195572883362220.740221355831889
240.7839467328458170.4321065343083670.216053267154183
250.9450548460468450.1098903079063110.0549451539531553
260.9426898430049890.1146203139900220.0573101569950112
270.9238721231869550.1522557536260890.0761278768130447
280.887246960570380.2255060788592410.11275303942962
290.8426489210663870.3147021578672270.157351078933613
300.8120547862269970.3758904275460050.187945213773003
310.8663460725804770.2673078548390460.133653927419523
320.9370697205854410.1258605588291190.0629302794145593
330.929597630112190.140804739775620.0704023698878101
340.9688241021500860.06235179569982730.0311758978499137
350.9564679395730580.08706412085388360.0435320604269418
360.9561210433367090.08775791332658140.0438789566632907
370.9901002769621290.01979944607574220.00989972303787112
380.9862927104896790.02741457902064270.0137072895103213
390.9829556438329060.03408871233418790.017044356167094
400.9846040014094820.03079199718103630.0153959985905182
410.9754956244885860.04900875102282720.0245043755114136
420.9578744268313380.08425114633732340.0421255731686617
430.938235255778070.123529488443860.06176474422193
440.9039952939844220.1920094120311560.0960047060155778
450.8913611427425330.2172777145149340.108638857257467


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level50.166666666666667NOK
10% type I error level100.333333333333333NOK