Multiple Linear Regression - Estimated Regression Equation
Y1[t] = + 14.24777984831 + 0.757347311456523Y2[t] + 0.162331012991481Y3[t] -0.0605178371933684Y4[t] + 0.406078167562165M1[t] + 0.020950647807322M2[t] + 0.198187463583225M3[t] + 0.0855484377373726M4[t] + 0.238923020163983M5[t] + 1.2237348299567M6[t] + 0.319554519385565M7[t] + 0.0181348618259648M8[t] + 0.148386559720362M9[t] -0.0214456339183266M10[t] + 0.210413993094089M11[t] + 0.0490649360196894t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)14.247779848316.1746732.30750.0264240.013212
Y20.7573473114565230.1583094.7842.5e-051.2e-05
Y30.1623310129914810.2022960.80240.4271590.213579
Y4-0.06051783719336840.154901-0.39070.6981550.349077
M10.4060781675621650.1665282.43850.0194040.009702
M20.0209506478073220.1570010.13340.894530.447265
M30.1981874635832250.1745621.13530.2631610.13158
M40.08554843773737260.1534160.55760.5802870.290144
M50.2389230201639830.1625061.47020.1495180.074759
M61.22373482995670.1557927.854900
M70.3195545193855650.2285851.3980.1700230.085012
M80.01813486182596480.2708970.06690.9469680.473484
M90.1483865597203620.1688440.87880.3848710.192436
M10-0.02144563391832660.164159-0.13060.8967320.448366
M110.2104139930940890.1687371.2470.2198360.109918
t0.04906493601968940.0203152.41530.0205110.010255


Multiple Linear Regression - Regression Statistics
Multiple R0.999350423129952
R-squared0.998701268210013
Adjusted R-squared0.998201755983095
F-TEST (value)1999.35299756734
F-TEST (DF numerator)15
F-TEST (DF denominator)39
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.228410216986259
Sum Squared Residuals2.03467786172468


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1102.86102.6996713859510.160328614048532
2102.87102.6918429411570.178157058842593
3102.92103.003031873932-0.0830318739315512
4102.95102.9498998979550.000100102044690911
5103.02103.182571208023-0.162571208022952
6104.08104.271306304167-0.191306304167381
7104.16104.228526715553-0.0685267155534581
8104.24104.2045944040980.0354055959024949
9104.33104.393336396542-0.0633363965424561
10104.73104.3488754510180.38112454898161
11104.86104.942507302827-0.0825073028268774
12105.03104.9390991960910.0909008039089889
13105.62105.5198872394320.100112760567984
14105.63105.65038852283-0.020388522829638
15105.63105.969751013082-0.339751013081891
16105.94105.8720947094420.0679052905584494
17106.61106.3087067160670.301293283932561
18107.69107.900328774583-0.210328774583076
19107.78107.953149745579-0.173149745579023
20107.93107.9037268251810.0262731748185617
21108.48108.1458960828140.334103917185593
22108.14108.460572893098-0.320572893097816
23108.48108.564203751801-0.0842037518010057
24108.48108.571875425748-0.0918754257483702
25108.89109.102787138393-0.212787138393077
26108.93109.056660887709-0.126660887709344
27109.21109.37981224729-0.169812247289722
28109.47109.509976331942-0.0399763319417501
29109.8109.952358121517-0.152358121516629
30111.73111.2614205490730.468579450926679
31111.85111.90582008225-0.0558200822498957
32112.12112.0376750068840.0823249931155014
33112.15112.324155710668-0.174155710667628
34112.17112.262676105437-0.0926761054368269
35112.67112.5472777290460.122722270954406
36112.8112.7660334128430.0339665871565116
37113.44113.3995868166670.0404131833334399
38113.53113.539070625356-0.0090706253557863
39114.53113.9295581646620.600441835338121
40114.51114.599209761658-0.0892097616577136
41115.05114.9433867415190.106613258481029
42116.67116.3224665780650.34753342193531
43117.07116.7831229518320.286877048167907
44116.92117.064003763837-0.144003763836558
45117117.096611809976-0.096611809975509
46117.02116.9878755504470.0321244495530332
47117.35117.3060112163270.0439887836734768
48117.36117.392991965317-0.03299196531713
49117.82117.908067419557-0.0880674195568793
50117.88117.902037022948-0.0220370229478242
51118.24118.247846701035-0.00784670103495671
52118.5118.4388192990040.0611807009963233
53118.8118.892977212874-0.0929772128740097
54119.76120.174477794112-0.414477794111534
55120.09120.0793805047860.0106194952144698


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.4754058883421140.9508117766842290.524594111657886
200.3068296240362830.6136592480725670.693170375963717
210.304606135715370.6092122714307410.69539386428463
220.7020003115222890.5959993769554220.297999688477711
230.633023403227340.733953193545320.36697659677266
240.5177162838643890.9645674322712230.482283716135611
250.4934902938874960.9869805877749930.506509706112504
260.4063017736052810.8126035472105610.593698226394719
270.5727273791399580.8545452417200840.427272620860042
280.6459133186142710.7081733627714570.354086681385729
290.9043950738856830.1912098522286340.0956049261143168
300.9683468103287570.06330637934248510.0316531896712426
310.9606355551002560.07872888979948720.0393644448997436
320.9424104514365330.1151790971269340.0575895485634669
330.8934440894085240.2131118211829520.106555910591476
340.8037778941770020.3924442116459960.196222105822998
350.7323086477319680.5353827045360640.267691352268032
360.5675183980494650.864963203901070.432481601950535


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 level20.111111111111111NOK