Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 1.09847380723183 + 0.0164782897207963X[t] + 0.00413239464950216t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.098473807231830.01601668.585500
X0.01647828972079630.0246540.66840.5065390.25327
t0.004132394649502160.0005577.42400


Multiple Linear Regression - Regression Statistics
Multiple R0.81957385440527
R-squared0.671701302824711
Adjusted R-squared0.660380658094529
F-TEST (value)59.3341915442205
F-TEST (DF numerator)2
F-TEST (DF denominator)58
p-value9.32587340685131e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.0555037188288364
Sum Squared Residuals0.178678442622171


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
10.98111.10260620188133-0.121506201881335
21.00141.10673859653084-0.105338596530838
31.01831.11087099118034-0.0925709911803402
41.06221.11500338582984-0.0528033858298423
51.07731.11913578047934-0.0418357804793446
61.08071.12326817512885-0.0425681751288467
71.08481.12740056977835-0.0426005697783489
81.15821.131532964427850.0266670355721489
91.16631.135665359077350.0306346409226467
101.13721.13979775372686-0.00259775372685536
111.11391.14393014837636-0.0300301483763576
121.12221.14806254302586-0.0258625430258596
131.16921.152194937675360.0170050623246382
141.17021.156327332324860.0138726676751359
151.22861.160459726974370.0681402730256338
161.26131.164592121623870.0967078783761318
171.26461.168724516273370.0958754837266295
181.22621.172856910922870.0533430890771273
191.19851.176989305572370.0215106944276251
201.20071.181121700221880.0195782997781231
211.21381.185254094871380.0285459051286209
221.22661.189386489520880.0372135104791186
231.21761.193518884170380.0240811158296166
241.22181.197651278819890.0241487211801144
251.2491.201783673469390.0472163265306123
261.29911.205916068118890.09318393188111
271.34081.210048462768390.130751537231608
281.31191.214180857417890.0977191425821058
291.30141.218313252067400.0830867479326035
301.32011.222445646716900.0976543532831015
311.29381.22657804136640.0672219586335993
321.26941.230710436015900.0386895639840972
331.21651.23484283066541-0.0183428306654051
341.20371.23897522531491-0.0352752253149072
351.22921.24310761996441-0.0139076199644093
361.22561.24724001461391-0.0216400146139115
371.20151.25137240926341-0.0498724092634137
381.17861.25550480391292-0.0769048039129158
391.18561.25963719856242-0.074037198562418
401.21031.26376959321192-0.0534695932119202
411.19381.26790198786142-0.0741019878614224
421.2021.27203438251092-0.0700343825109245
431.22711.27616677716043-0.0490667771604266
441.2771.28029917180993-0.00329917180992891
451.2651.28443156645943-0.0194315664594311
461.26841.28856396110893-0.0201639611089332
471.28111.29269635575844-0.0115963557584354
481.27271.29682875040794-0.0241287504079375
491.26111.30096114505744-0.0398611450574395
501.28811.32157182942774-0.0334718294277381
511.32131.32570422407724-0.00440422407724035
521.29991.32983661872674-0.0299366187267424
531.30741.33396901337624-0.0265690133762447
541.32421.33810140802575-0.0139014080257467
551.35161.342233802675250.009366197324751
561.35111.346366197324750.0047338026752489
571.34191.35049859197425-0.00859859197425313
581.37161.354630986623760.0169690133762445
591.36221.358763381273260.00343661872674253
601.38961.362895775922760.0267042240772403
611.42271.367028170572260.0556718294277382