Multiple Linear Regression - Estimated Regression Equation
Y[t] = -7.25303327622183 + 1.06594187359589X[t] + 0.89571223355923D[t] + 0.240549460095881M1[t] + 0.156251424685183M2[t] + 0.398463373048969M3[t] + 0.801831080443743M4[t] + 0.97051313109336M5[t] + 0.735706941760564M6[t] + 0.247728631943272M7[t] + 0.129941719407226M8[t] + 0.406195271893356M9[t] -0.131051760722312M10[t] + 0.274065231376367M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-7.253033276221832.655996-2.73080.0077890.003894
X1.065941873595890.02655740.137300
D0.895712233559230.4580651.95540.0540690.027034
M10.2405494600958810.5269770.45650.6493040.324652
M20.1562514246851830.5269820.29650.7676240.383812
M30.3984633730489690.5269910.75610.4518320.225916
M40.8018310804437430.5271161.52120.132210.066105
M50.970513131093360.5271791.8410.0693820.034691
M60.7357069417605640.5273471.39510.1668920.083446
M70.2477286319432720.5277280.46940.6400590.320029
M80.1299417194072260.5245540.24770.8049950.402497
M90.4061952718933560.5248930.77390.4413210.220661
M10-0.1310517607223120.541683-0.24190.8094580.404729
M110.2740652313763670.5416880.50590.6143030.307151


Multiple Linear Regression - Regression Statistics
Multiple R0.982169333137103
R-squared0.964656598954982
Adjusted R-squared0.958840596251372
F-TEST (value)165.862474299768
F-TEST (DF numerator)13
F-TEST (DF denominator)79
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.01339534505927
Sum Squared Residuals81.1306399056367


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1107.89107.4486756303400.441324369660214
2107.26107.2577834075690.00221659243087586
3107.76107.6385677995000.121432200499641
4107.32107.562261663777-0.242261663777006
5107.15107.741603133163-0.59160313316256
6108.04107.6453693873970.394630612602762
7106.52106.645738978254-0.125738978253926
8106.62105.6215804134230.998419586577325
9106.47105.2902470979591.17975290204084
10105.46104.6997029716640.760297028336293
11106.13104.9555881014591.17441189854104
12105.15104.4043779829480.745622017052356
13105.39104.8687752364990.521224763501339
14104.57105.104259763167-0.534259763166749
15104.29105.207899267963-0.917899267963046
16104.09105.227527900863-1.13752790086330
17104.51105.417528788985-0.907528788984849
18103.39104.767005268950-1.37700526894966
19102.71103.735396603598-1.02539660359846
20102.62103.660247366006-1.04024736600625
21101.94103.456827075374-1.51682707537423
22101.65102.887601786551-1.23760178655068
23101.86103.314037616121-1.45403761612128
24101.27103.071950640953-1.80195064095279
25101.21103.515029057032-2.30502905703189
26102.15103.302817996790-1.15281799678967
27102.07103.438435757794-1.36843575779389
28102.8103.180919503559-0.380919503559199
29103.39103.0191595733940.370840426605899
30102.71102.6244621030220.085537896978079
31102.65101.8913171622780.758682837722442
32101.12101.0806680319040.0393319680958057
33100.29100.632081110345-0.34208111034511
3499.7999.7963703531226-0.00637035312259156
35100.11100.553248163508-0.443248163507919
3699.76100.407095956963-0.647095956963058
3799.96100.125333898997-0.16533389899697
3899.9899.96641993243450.0135800675654582
39100.49100.0807188559670.409281144033175
40100.75100.1216663263390.628333673660997
41100.84100.3436454706680.496354529331591
42100.4499.69312195063320.74687804936678
4399.5798.640194447810.92980555218989
4499.2298.37317567297060.846824327029367
4599.0898.25503073222630.82496926777372
4698.0497.40866055626780.631339443732197
4798.7397.87773406078220.85226593921776
4898.7297.41179929215861.30820070784139
49100.0797.99345015180522.07654984819481
5099.0297.61068839178761.40931160821236
5198.9497.56509603428051.37490396571948
529997.7659347856921.23406521430792
5398.5497.63615311173480.90384688826516
5498.4297.6891512282730.730848771727053
5597.997.46765838685460.432341613145376
5697.4697.05140774971170.40859225028826
579796.61348024688860.386519753111384
5895.9795.61787820862670.352121791373291
5996.5595.96969810704560.580301892954402
6096.5195.7809082255570.729091774443107
6196.7696.13871129174830.62128870825168
6296.0595.76660895046670.283391049533255
6396.4796.04079915503840.429200844961594
6496.3896.11372488161850.266275118381544
6597.2796.5702112381390.69978876186104
6696.6796.17551376776680.494486232233218
6796.5995.65555720174160.93444279825839
6896.0695.27128482080660.788715179193406
6996.9295.37698767351741.54301232648261
7094.9694.2321537729520.72784622704794
7195.5994.8504591397700.73954086023009
7295.6894.4591403022981.22085969770201
7395.3594.85958104343330.49041895656674
7495.4194.48747870215170.922521297848325
7595.3294.74035006925140.579649930748572
7695.895.21833370779790.581666292202097
7795.4695.21646505867220.243534941327815
7894.1694.3420937451819-0.182093745181858
7992.4992.9907025177519-0.500702517751894
8091.5892.6490678117607-1.0690678117607
8191.592.4989446148085-0.99894461480848
8290.8392.0576323508164-1.22763235081645
8391.2892.7292348113141-1.44923481131410
8490.5792.124727599123-1.55472759912301
8590.9392.6104436901459-1.68044369014592
8690.991.8439428556339-0.943942855633854
8791.4992.1181330602055-0.628133060205528
8891.3892.329631230353-0.94963123035305
8990.9192.125233625244-1.21523362524409
9090.7291.6132825487764-0.893282548776376
9189.5390.9334347017118-1.40343470171181
9289.4790.4425681334172-0.972568133417214
9389.2890.3564014488807-1.07640144888073