Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 679.75 + 58.25X[t] -13.6000000000002M1[t] -34.4000000000001M2[t] + 49.1999999999999M3[t] -36.3999999999999M4[t] -18.0000000000001M5[t] + 112M6[t] -263.600000000000M7[t] -341.2M8[t] + 124.4M9[t] + 70.8M10[t] -29.2M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)679.7524.52819327.71300
X58.2517.5201383.32470.0017220.000861
M1-13.600000000000234.332318-0.39610.6938030.346902
M2-34.400000000000134.332318-1.0020.3214880.160744
M349.199999999999934.3323181.43310.1584620.079231
M4-36.399999999999934.332318-1.06020.294460.14723
M5-18.000000000000134.332318-0.52430.6025430.301271
M611234.3323183.26220.0020620.001031
M7-263.60000000000034.332318-7.677900
M8-341.234.332318-9.938200
M9124.434.3323183.62340.0007120.000356
M1070.834.3323182.06220.0447410.022371
M11-29.234.332318-0.85050.3993540.199677


Multiple Linear Regression - Regression Statistics
Multiple R0.94235859215616
R-squared0.88803971621054
Adjusted R-squared0.859454111838763
F-TEST (value)31.0659765895072
F-TEST (DF numerator)12
F-TEST (DF denominator)47
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation54.2841617119207
Sum Squared Residuals138498.2


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1627666.15-39.1500000000007
2696645.3550.6499999999999
3825728.9596.05
4677643.3533.65
5656661.75-5.74999999999988
6785791.75-6.75000000000002
7412416.15-4.14999999999964
8352338.5513.4500000000000
9839804.1534.8499999999998
10729750.55-21.5500000000001
11696650.5545.4500000000001
12641679.75-38.75
13695666.1528.8500000000002
14638645.35-7.34999999999995
15762728.9533.05
16635643.35-8.35000000000002
17721661.7559.25
18854791.7562.25
19418416.151.84999999999994
20367338.5528.4500000000000
21824804.1519.8500000000001
22687750.55-63.55
23601650.55-49.55
24676679.75-3.74999999999999
25740666.1573.8500000000002
26691645.3545.65
27683728.95-45.95
28594643.35-49.35
29729661.7567.25
30731791.75-60.75
31386416.15-30.1500000000001
32331338.55-7.54999999999994
33707804.15-97.15
34715750.55-35.55
35657650.556.44999999999998
36653679.75-26.75
37642666.15-24.1499999999998
38643645.35-2.34999999999995
39718728.95-10.9500000000000
40654643.3510.6500000000000
41632661.75-29.7500000000000
42731791.75-60.75
43392416.15-24.1500000000001
44344338.555.45000000000005
45792804.15-12.1499999999999
46852750.55101.45
47649650.55-1.55000000000002
48629679.75-50.75
49685724.4-39.3999999999998
50617703.6-86.6
51715787.2-72.2
52715701.613.4000000000000
53629720-91
5491685066
55531474.456.5999999999999
56357396.8-39.8000000000001
57917862.454.6000000000001
58828808.819.2000000000000
59708708.8-0.800000000000057
60858738120


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.4143845830518770.8287691661037540.585615416948123
170.3694881283130270.7389762566260530.630511871686974
180.3521335096912250.704267019382450.647866490308775
190.228020414615360.456040829230720.77197958538464
200.1453818826979960.2907637653959920.854618117302004
210.08794355805381890.1758871161076380.912056441946181
220.07060386554505040.1412077310901010.92939613445495
230.1041350793238960.2082701586477920.895864920676104
240.06881436623818360.1376287324763670.931185633761816
250.1106039922488830.2212079844977660.889396007751117
260.09586975669873570.1917395133974710.904130243301264
270.1630965446428180.3261930892856350.836903455357182
280.15083746356550.30167492713100.8491625364345
290.2030209102543330.4060418205086660.796979089745667
300.2324120579914740.4648241159829480.767587942008526
310.1787887306864500.3575774613729010.82121126931355
320.1287945918381270.2575891836762550.871205408161873
330.2735528270372350.5471056540744710.726447172962765
340.2705748982713890.5411497965427780.729425101728611
350.1952518756637020.3905037513274040.804748124336298
360.1558114305600860.3116228611201710.844188569439914
370.1150347524786920.2300695049573840.884965247521308
380.1192023910099980.2384047820199970.880797608990002
390.1147285627406690.2294571254813380.885271437259331
400.07267045040627120.1453409008125420.927329549593729
410.09472803083373120.1894560616674620.905271969166269
420.1013697790154400.2027395580308790.89863022098456
430.06636676950316370.1327335390063270.933633230496836
440.04995497911205810.09990995822411620.950045020887942


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 level10.0344827586206897OK