Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 103.708251028807 + 7.79209876543207X[t] -1.25631687242790M1[t] -0.0279835390946507M2[t] + 0.108683127572014M3[t] + 0.140349794238680M4[t] + 0.138683127572013M5[t] + 0.143683127572011M6[t] + 0.413683127572011M7[t] -0.314999999999997M8[t] -0.151666666666663M9[t] -0.0999999999999963M10[t] -0.0416666666666662M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)103.7082510288072.17140447.760900
X7.792098765432071.2654326.157700
M1-1.256316872427902.692659-0.46660.6425250.321263
M2-0.02798353909465072.692659-0.01040.9917430.495872
M30.1086831275720142.6926590.04040.967940.48397
M40.1403497942386802.6926590.05210.9586070.479303
M50.1386831275720132.6926590.05150.9590980.479549
M60.1436831275720112.6926590.05340.9576250.478812
M70.4136831275720112.6926590.15360.8784230.439211
M8-0.3149999999999972.684387-0.11730.9069850.453493
M9-0.1516666666666632.684387-0.05650.9551350.477567
M10-0.09999999999999632.684387-0.03730.9704090.485205
M11-0.04166666666666622.684387-0.01550.9876680.493834


Multiple Linear Regression - Regression Statistics
Multiple R0.633977059741042
R-squared0.401926912277897
Adjusted R-squared0.280284928334419
F-TEST (value)3.30417919247892
F-TEST (DF numerator)12
F-TEST (DF denominator)59
p-value0.00106190316840671
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation4.64949479158511
Sum Squared Residuals1275.45030720165


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1103.52102.4519341563781.06806584362184
2103.5103.680267489712-0.180267489711939
3103.52103.816934156379-0.296934156378628
4103.53103.848600823045-0.318600823045288
5103.53103.846934156379-0.316934156378624
6103.53103.851934156379-0.321934156378616
7103.52104.121934156379-0.601934156378624
8103.54103.3932510288070.146748971193395
9103.59103.556584362140.0334156378600592
10103.59103.608251028807-0.0182510288066077
11103.59103.66658436214-0.0765843621399387
12103.59103.708251028807-0.118251028806605
13103.63102.4519341563791.17806584362129
14103.74103.6802674897120.0597325102880376
15103.7103.816934156379-0.116934156378618
16103.72103.848600823045-0.128600823045290
17103.81103.846934156379-0.0369341563786187
18103.8103.851934156379-0.0519341563786220
19104.22104.1219341563790.0980658436213797
20106.91111.185349794239-4.27534979423868
21107.06111.348683127572-4.28868312757201
22107.17111.400349794239-4.23034979423868
23107.25111.458683127572-4.20868312757201
24107.28111.500349794239-4.22034979423868
25107.24110.244032921811-3.00403292181079
26107.23111.472366255144-4.24236625514402
27107.34111.609032921811-4.26903292181069
28107.34111.640699588477-4.30069958847735
29107.3111.639032921811-4.33903292181069
30107.24111.644032921811-4.40403292181069
31107.3111.914032921811-4.61403292181069
32107.32111.185349794239-3.86534979423869
33107.28111.348683127572-4.06868312757201
34107.33111.400349794239-4.07034979423868
35107.33111.458683127572-4.12868312757201
36107.33111.500349794239-4.17034979423868
37107.28110.244032921811-2.96403292181078
38107.28111.472366255144-4.19236625514402
39107.29111.609032921811-4.31903292181069
40107.29111.640699588477-4.35069958847735
41107.23111.639032921811-4.40903292181069
42107.24111.644032921811-4.40403292181069
43107.24111.914032921811-4.67403292181069
44107.2111.185349794239-3.98534979423868
45107.23111.348683127572-4.11868312757201
46107.2111.400349794239-4.20034979423868
47107.21111.458683127572-4.24868312757202
48107.24111.500349794239-4.26034979423868
49107.21110.244032921811-3.03403292181079
50113.89111.4723662551442.41763374485597
51114.05111.6090329218112.44096707818931
52114.05111.6406995884772.40930041152264
53114.05111.6390329218112.41096707818931
54114.05111.6440329218112.40596707818931
55115.12111.9140329218113.20596707818931
56115.68111.1853497942394.49465020576133
57116.05111.3486831275724.70131687242798
58116.18111.4003497942394.77965020576133
59116.35111.4586831275724.89131687242798
60116.44111.5003497942394.93965020576132
61117110.2440329218116.75596707818922
62117.61111.4723662551446.13763374485597
63118.17111.6090329218116.56096707818931
64118.33111.6406995884776.68930041152264
65118.33111.6390329218116.69096707818931
66118.42111.6440329218116.77596707818931
67118.5111.9140329218116.58596707818931
68118.67111.1853497942397.48465020576132
69119.09111.3486831275727.74131687242799
70119.14111.4003497942397.73965020576132
71119.23111.4586831275727.771316872428
72119.33111.5003497942397.82965020576132


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
163.05761553116227e-056.11523106232454e-050.999969423844688
171.67616289768937e-063.35232579537874e-060.999998323837102
188.65071151287355e-081.73014230257471e-070.999999913492885
194.42190766381789e-088.84381532763578e-080.999999955780923
201.86561742461450e-093.73123484922901e-090.999999998134383
217.64247020955035e-111.52849404191007e-100.999999999923575
223.20560846422532e-126.41121692845065e-120.999999999996794
231.38580969181783e-132.77161938363566e-130.999999999999861
245.80915115406661e-151.16183023081332e-140.999999999999994
252.0791217265765e-164.158243453153e-161
267.24435287739447e-181.44887057547889e-171
272.98616000440021e-195.97232000880043e-191
281.13290598184980e-202.26581196369959e-201
293.78662500913844e-227.57325001827689e-221
301.28099039044866e-232.56198078089732e-231
316.44130023183776e-251.28826004636755e-241
326.58627463579632e-261.31725492715926e-251
333.28257033663368e-276.56514067326736e-271
341.63406811258701e-283.26813622517401e-281
357.45162305307745e-301.49032461061549e-291
363.39437538610767e-316.78875077221533e-311
371.12001750893996e-322.24003501787992e-321
385.89001857616625e-341.17800371523325e-331
393.52863098029060e-357.05726196058119e-351
402.37896549793899e-364.75793099587798e-361
412.0455254055737e-374.0910508111474e-371
421.94376099665675e-383.88752199331351e-381
435.48634687005665e-391.09726937401133e-381
441.44965644724045e-392.89931289448091e-391
457.67810623754994e-401.53562124750999e-391
461.06083314804767e-392.12166629609535e-391
477.66757483720664e-391.53351496744133e-381
481.27426931324897e-362.54853862649794e-361
494.81602224676094e-349.63204449352188e-341
504.11740315149802e-068.23480630299603e-060.999995882596848
510.002524442600480590.005048885200961180.99747555739952
520.03284371476007310.06568742952014630.967156285239927
530.1205977069739970.2411954139479950.879402293026003
540.2645492514563400.5290985029126810.73545074854366
550.3692430259134800.7384860518269610.63075697408652
560.4251770004335990.8503540008671980.574822999566401


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level360.878048780487805NOK
5% type I error level360.878048780487805NOK
10% type I error level370.902439024390244NOK