Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 73.8042336411469 + 0.156334829849718X[t] + 0.0548151015977865M1[t] + 0.297576758775181M2[t] + 0.276411043319977M3[t] + 0.337865016199548M4[t] + 0.341348849186215M5[t] + 0.272164575593166M6[t] + 0.435077360364255M7[t] + 0.356009147021685M8[t] + 0.346983700939432M9[t] + 0.227580410026349M10[t] + 0.126346141928972M11[t] + 0.136100788004864t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)73.80423364114693.55979920.732700
X0.1563348298497180.0412993.78540.0002580.000129
M10.05481510159778650.214430.25560.7987450.399373
M20.2975767587751810.2142651.38880.1678820.083941
M30.2764110433199770.2159651.27990.203460.10173
M40.3378650161995480.2230981.51440.1329820.066491
M50.3413488491862150.2274731.50060.1365150.068257
M60.2721645755931660.2233461.21860.2257880.112894
M70.4350773603642550.2193611.98340.0499860.024993
M80.3560091470216850.2144251.66030.0998970.049948
M90.3469837009394320.2147931.61540.1092760.054638
M100.2275804100263490.2174671.04650.2977760.148888
M110.1263461419289720.2180980.57930.5636450.281823
t0.1361007880048640.00703719.341900


Multiple Linear Regression - Regression Statistics
Multiple R0.996923633472064
R-squared0.993856730975143
Adjusted R-squared0.993081366923462
F-TEST (value)1281.79366688516
F-TEST (DF numerator)13
F-TEST (DF denominator)103
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.46013305322092
Sum Squared Residuals21.8074099466398


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
188.7487.90113264588220.838867354117786
288.9288.25810821488530.661891785114661
388.7788.38711342212150.38288657787852
489.1788.7800867203180.389913279681941
589.6189.04004916029390.569950839706126
689.5289.08507879852670.434921201473268
789.7489.38878241619820.351217583801822
889.489.23476297056340.165237029436660
989.3689.3243179533220.0356820466779737
1089.3889.28942495656340.0905750434365953
1189.3689.4055855879927-0.0455855879927416
1289.2989.4434805034416-0.153480503441577
1389.5989.737577380745-0.147577380745045
1489.7990.1086230844348-0.318623084434817
1589.8690.234501595074-0.374501595073962
1690.2190.5008436810923-0.290843681092279
1790.3790.7139056721132-0.343905672113169
1890.1990.6995280750031-0.509528075003136
1990.3390.8515869077203-0.521586907720353
2090.2290.752284652533-0.532284652532929
2190.4290.909063612127-0.489063612126983
2290.5490.9632814683827-0.423281468382694
2390.7390.9981479882902-0.268147988290183
2491.0290.99695919627660.0230408037233981
2591.1991.2191420518492-0.0291420518491953
2691.5391.6277081147029-0.097708114702897
2791.8891.75202327704350.127976722956454
2892.0692.1356164854491-0.0756164854491397
2992.3292.30490472411210.0150952758878739
3092.6792.44529860855330.224701391446699
3192.8592.76150901261270.08849098738727
3292.8292.72630403766370.0936959623363068
3393.4692.85806942448180.601930575518205
3493.2392.81848638282770.411513617172335
3593.5492.96435063192850.575649368071547
3693.2992.9037546045720.386245395428029
3793.293.1994148301740.000585169826062811
3893.693.59078406174420.00921593825581825
3993.8193.847983829457-0.0379838294570775
4094.6294.30661775619050.313382243809459
4195.2294.64943765598670.570562344013289
4295.3894.76950801254740.610491987452565
4395.3194.99348086699550.316519133004485
4495.395.06458357634430.23541642365571
4595.5795.1822788284760.387721171524078
4695.4295.25056681941810.169433180581896
4795.5395.27136320463910.258636795360883
4895.3395.18262690790970.147373092090312
4995.995.67995906401780.22004093598222
5096.0695.92437355552930.135626444470715
5196.3196.12216608789930.187833912100703
5296.3496.33222763517170.007772364828292
5396.4996.565613154073-0.0756131540730777
5496.2296.4933916699186-0.27339166991864
5596.5396.806475377381-0.276475377381066
5696.596.7978473235065-0.297847323506479
5796.7797.0359203946224-0.265920394622396
5896.6697.0135341842517-0.353534184251747
5996.5897.0546540973532-0.474654097353221
6096.6396.9737345421163-0.343734542116279
6197.0697.3256753064641-0.265675306464133
6297.7397.7764517733773-0.04645177337726
6398.0197.96017417106080.0498258289392028
6497.7698.239023043467-0.479023043467086
6597.4998.3973678440406-0.907367844040594
6697.7798.5361983801833-0.766198380183278
6797.9698.8258318631682-0.86583186316825
6898.2398.8953712242185-0.665371224218511
6998.5199.1865981374833-0.676598137483325
7098.1998.992243614278-0.802243614277995
7198.3799.028673482484-0.658673482483973
7298.3198.9305570959636-0.620557095963563
7398.699.28406120861-0.684061208609927
7498.9799.6848105299711-0.714810529971143
7599.1199.8544627929682-0.744462792968203
7699.64100.188028855822-0.548028855821893
77100.03100.390147408753-0.360147408753312
7899.98100.442993788479-0.462993788478649
79100.32100.701360305494-0.381360305493685
80100.44100.678662116933-0.23866211693262
81100.51100.802610762258-0.292610762258228
82101100.788041293380.211958706619928
83100.88100.8776250037350.0023749962650349
84100.55100.837352504259-0.287352504258947
85100.83101.106435808786-0.276435808786456
86101.51101.615056162744-0.105056162743974
87102.16101.9691835249640.190816475036287
88102.39102.1761183756390.213881624360874
89102.54102.4220106809280.117989319071539
90102.85102.3966896457290.453310354271046
91103.47102.5815787927150.888421207285392
92103.57102.6511181537650.918881846235113
93103.69102.6312387556291.05876124437124
94103.5102.6573163425120.84268365748848
95103.47102.7844204120300.685579587969658
96103.45102.7613447438380.68865525616221
97103.48102.9975977340970.482402265903143
98103.93103.4827678635770.447232136423077
99103.89103.6117730708130.278226929186937
100104.4103.9156355159950.484364484004697
101104.79104.2303151464190.559684853581482
102104.77104.2315710322930.538428967706538
103105.13104.5618515710390.56814842896064
104105.26104.6626578980600.597342101940437
105104.96104.9179278004590.0420721995410439
106104.75104.897104938387-0.147104938386800
107105.01105.085179591547-0.075179591547005
108105.15104.9901899016240.159810098376415
109105.2105.339003969374-0.139003969374454
110105.77105.7413166390340.0286833609658205
111105.78105.840618228599-0.0606182285988618
112106.26106.275801930855-0.0158019308548665
113106.13106.276248553280-0.146248553280158
114106.12106.369741988766-0.249741988766414
115106.57106.737542886676-0.167542886676257
116106.44106.716408046414-0.276408046413688
117106.54106.941974331142-0.401974331141612