| Multiple Linear Regression - Estimated Regression Equation |
| y[t] = + 4.99498279311949e-09 -6.95975523183266e-09x[t] -6.43509941741123e-09M1[t] -3.49990146873840e-09M2[t] + 2.18753708663261e-09M3[t] -8.50014163855136e-09M4[t] + 1.73432840810075e-14M5[t] -7.24999459062482e-09M6[t] -7.25002879726013e-09M7[t] -1.09998817684790e-08M8[t] -5.25009197090033e-09M9[t] -1.16250035627545e-08M10[t] -1.00000570374933e-09M11[t] + e[t] |
| Multiple Linear Regression - Ordinary Least Squares | |||||
| Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
| (Intercept) | 4.99498279311949e-09 | 38.232411 | 0 | 1 | 0.5 |
| x | -6.95975523183266e-09 | 33.828114 | 0 | 1 | 0.5 |
| M1 | -6.43509941741123e-09 | 53.778656 | 0 | 1 | 0.5 |
| M2 | -3.49990146873840e-09 | 53.73708 | 0 | 1 | 0.5 |
| M3 | 2.18753708663261e-09 | 53.73708 | 0 | 1 | 0.5 |
| M4 | -8.50014163855136e-09 | 53.73708 | 0 | 1 | 0.5 |
| M5 | 1.73432840810075e-14 | 53.73708 | 0 | 1 | 0.5 |
| M6 | -7.24999459062482e-09 | 53.73708 | 0 | 1 | 0.5 |
| M7 | -7.25002879726013e-09 | 53.73708 | 0 | 1 | 0.5 |
| M8 | -1.09998817684790e-08 | 53.73708 | 0 | 1 | 0.5 |
| M9 | -5.25009197090033e-09 | 53.73708 | 0 | 1 | 0.5 |
| M10 | -1.16250035627545e-08 | 53.73708 | 0 | 1 | 0.5 |
| M11 | -1.00000570374933e-09 | 53.73708 | 0 | 1 | 0.5 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 3.31667024428794e-11 |
| R-squared | 1.1000301509345e-21 |
| Adjusted R-squared | -0.0670391061452513 |
| F-TEST (value) | 1.64087830847729e-20 |
| F-TEST (DF numerator) | 12 |
| F-TEST (DF denominator) | 179 |
| p-value | 1 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 151.991415338604 |
| Sum Squared Residuals | 4135148.87025712 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | -183.9235445 | -1.44032696880458e-09 | -183.923544498560 |
| 2 | -177.0726091 | 1.4948398074921e-09 | -177.072609101495 |
| 3 | -228.6351091 | 7.1824501901574e-09 | -228.635109107182 |
| 4 | -237.4476091 | -3.50439677276881e-09 | -237.447609096496 |
| 5 | -127.7601091 | 4.9948312152992e-09 | -127.760109104995 |
| 6 | -193.0101091 | -2.25483631766110e-09 | -193.010109097745 |
| 7 | -220.6351091 | -2.25480789595167e-09 | -220.635109097745 |
| 8 | -164.5101091 | -6.00527982896892e-09 | -164.510109093995 |
| 9 | -268.3226091 | -2.55170107266167e-10 | -268.322609099745 |
| 10 | -333.6976091 | -6.6297047851549e-09 | -333.697609093370 |
| 11 | -34.26010911 | 3.99499811010173e-09 | -34.260109113995 |
| 12 | -154.8851091 | 4.99500174555578e-09 | -154.885109104995 |
| 13 | -97.74528053 | -1.44015643854800e-09 | -97.7452805285598 |
| 14 | 101.1056549 | 1.4948398074921e-09 | 101.105654898505 |
| 15 | 2.543154874 | 7.1825452252483e-09 | 2.54315486681745 |
| 16 | -43.26934513 | -3.50517126435079e-09 | -43.2693451264948 |
| 17 | -163.5818451 | 4.99488805871806e-09 | -163.581845104995 |
| 18 | -162.8318451 | -2.25495000449882e-09 | -162.831845097745 |
| 19 | 46.54315487 | -2.25503526962711e-09 | 46.543154872255 |
| 20 | 26.66815487 | -6.00500627001566e-09 | 26.668154876005 |
| 21 | -107.1443451 | -2.55113263847306e-10 | -107.144345099745 |
| 22 | 42.48065487 | -6.63001742395863e-09 | 42.48065487663 |
| 23 | 76.91815487 | 3.99499811010173e-09 | 76.918154866005 |
| 24 | 196.2931549 | 4.99494490213692e-09 | 196.293154895005 |
| 25 | 201.4329835 | -1.44012801683857e-09 | 201.43298350144 |
| 26 | 12.28391886 | 1.49488776912676e-09 | 12.2839188585051 |
| 27 | -0.278581137 | 7.18254411502528e-09 | -0.278581144182544 |
| 28 | 42.90891886 | -3.50518547520551e-09 | 42.9089188635052 |
| 29 | 87.59641886 | 4.99495911299164e-09 | 87.596418855005 |
| 30 | 84.34641886 | -2.25493579364411e-09 | 84.346418862255 |
| 31 | 57.72141886 | -2.25501395334504e-09 | 57.721418862255 |
| 32 | 173.8464189 | -6.00505245529348e-09 | 173.846418906005 |
| 33 | -185.9660811 | -2.55141685556737e-10 | -185.966081099745 |
| 34 | 47.65891886 | -6.63001742395863e-09 | 47.65891886663 |
| 35 | 89.09641886 | 3.99499811010173e-09 | 89.096418856005 |
| 36 | -68.52858114 | 4.99500174555578e-09 | -68.528581144995 |
| 37 | 272.6112475 | -1.44012801683857e-09 | 272.61124750144 |
| 38 | 146.4621829 | 1.4948398074921e-09 | 146.462182898505 |
| 39 | 162.8996829 | 7.18253545528569e-09 | 162.899682892817 |
| 40 | 10.08718285 | -3.50517126435079e-09 | 10.0871828535052 |
| 41 | 279.7746829 | 4.99494490213692e-09 | 279.774682895005 |
| 42 | 212.5246829 | -2.25497842620825e-09 | 212.524682902255 |
| 43 | 248.8996829 | -2.25500684791768e-09 | 248.899682902255 |
| 44 | -41.97531715 | -6.00499561187462e-09 | -41.975317143995 |
| 45 | -5.787817149 | -2.55100829349431e-10 | -5.7878171487449 |
| 46 | 52.83718285 | -6.63000321310392e-09 | 52.83718285663 |
| 47 | 274.2746829 | 3.99489863411873e-09 | 274.274682896005 |
| 48 | 414.6496829 | 4.99494490213692e-09 | 414.649682895005 |
| 49 | 310.7895114 | -1.43995748658199e-09 | 310.78951140144 |
| 50 | 362.6404468 | 1.49492507262039e-09 | 362.640446798505 |
| 51 | 26.07794684 | 7.18253900799937e-09 | 26.0779468328175 |
| 52 | 403.2654468 | -3.50519258063287e-09 | 403.265446803505 |
| 53 | 327.9529468 | 4.99494490213692e-09 | 327.952946795005 |
| 54 | 193.7029468 | -2.25495000449882e-09 | 193.702946802255 |
| 55 | 317.0779468 | -2.25497842620825e-09 | 317.077946802255 |
| 56 | 202.2029468 | -6.00499561187462e-09 | 202.202946806005 |
| 57 | 321.3904468 | -2.55170107266167e-10 | 321.390446800255 |
| 58 | 178.0154468 | -6.63001742395863e-09 | 178.01544680663 |
| 59 | 16.45294684 | 3.99500876824277e-09 | 16.452946836005 |
| 60 | -68.17205316 | 4.99500174555578e-09 | -68.172053164995 |
| 61 | -157.0322246 | -1.44012801683857e-09 | -157.03222459856 |
| 62 | -76.18128917 | 1.4948398074921e-09 | -76.1812891714948 |
| 63 | -81.74378917 | 7.18252124443097e-09 | -81.7437891771825 |
| 64 | -134.5562892 | -3.50516415892344e-09 | -134.556289196495 |
| 65 | 77.13121083 | 4.99494490213692e-09 | 77.131210825005 |
| 66 | 199.8812108 | -2.25495000449882e-09 | 199.881210802255 |
| 67 | 105.2562108 | -2.2550210587724e-09 | 105.256210802255 |
| 68 | 198.3812108 | -6.00502403358405e-09 | 198.381210806005 |
| 69 | 262.5687108 | -2.55170107266167e-10 | 262.568710800255 |
| 70 | 196.1937108 | -6.6300742673775e-09 | 196.19371080663 |
| 71 | 11.63121083 | 3.99499633374489e-09 | 11.631210826005 |
| 72 | -145.9937892 | 4.99497332384635e-09 | -145.993789204995 |
| 73 | -166.8539606 | -1.44012801683857e-09 | -166.85396059856 |
| 74 | -202.0030252 | 1.49492507262039e-09 | -202.003025201495 |
| 75 | 43.43447482 | 7.18253545528569e-09 | 43.4344748128175 |
| 76 | -113.3780252 | -3.50519258063287e-09 | -113.378025196495 |
| 77 | -113.6905252 | 4.99495911299164e-09 | -113.690525204995 |
| 78 | -155.9405252 | -2.25495000449882e-09 | -155.940525197745 |
| 79 | -210.5655252 | -2.25509211304598e-09 | -210.565525197745 |
| 80 | -124.4405252 | -6.0049814010199e-09 | -124.440525193995 |
| 81 | -64.25302518 | -2.55099052992591e-10 | -64.2530251797449 |
| 82 | -298.6280252 | -6.63004584566806e-09 | -298.62802519337 |
| 83 | -154.1905252 | 3.99495547753759e-09 | -154.190525203995 |
| 84 | 23.18447482 | 4.99499464012843e-09 | 23.184474815005 |
| 85 | -249.6756966 | -1.44001433000085e-09 | -249.67569659856 |
| 86 | 118.1752388 | 1.49482559663738e-09 | 118.175238798505 |
| 87 | -180.3872612 | 7.18253545528569e-09 | -180.387261207183 |
| 88 | -79.19976119 | -3.50519258063287e-09 | -79.1997611864948 |
| 89 | -81.51226119 | 4.99497332384635e-09 | -81.512261194995 |
| 90 | -246.7622612 | -2.25495000449882e-09 | -246.762261197745 |
| 91 | -105.3872612 | -2.25503526962711e-09 | -105.387261197745 |
| 92 | -319.2622612 | -6.00499561187462e-09 | -319.262261193995 |
| 93 | -72.07476119 | -2.55084842137876e-10 | -72.0747611897449 |
| 94 | -90.44976119 | -6.6299890022492e-09 | -90.44976118337 |
| 95 | -80.01226119 | 3.99498389924702e-09 | -80.012261193995 |
| 96 | 119.3627388 | 4.99495911299164e-09 | 119.362738795005 |
| 97 | -53.49743261 | -1.44011380598386e-09 | -53.4974326085599 |
| 98 | -114.6464972 | 1.49495349432982e-09 | -114.646497201495 |
| 99 | -155.2089972 | 7.18253545528569e-09 | -155.208997207183 |
| 100 | -50.02149721 | -3.50518547520551e-09 | -50.0214972064948 |
| 101 | -196.3339972 | 4.99491648042749e-09 | -196.333997204995 |
| 102 | -14.58399721 | -2.25494467542831e-09 | -14.5839972077451 |
| 103 | -82.20899721 | -2.25500684791768e-09 | -82.208997207745 |
| 104 | 17.91600279 | -6.0049814010199e-09 | 17.9160027960050 |
| 105 | -162.8964972 | -2.55141685556737e-10 | -162.896497199745 |
| 106 | -132.2714972 | -6.6299890022492e-09 | -132.27149719337 |
| 107 | -16.83399721 | 3.99499811010173e-09 | -16.833997213995 |
| 108 | 81.54100279 | 4.99504437811993e-09 | 81.541002785005 |
| 109 | 275.6808314 | -1.44012801683857e-09 | 275.68083140144 |
| 110 | -32.46823322 | 1.49486822920153e-09 | -32.4682332214949 |
| 111 | 17.96926678 | 7.18255321885408e-09 | 17.9692667728174 |
| 112 | 27.15676678 | -3.5052032387739e-09 | 27.1567667835052 |
| 113 | -123.1557332 | 4.99491648042749e-09 | -123.155733204995 |
| 114 | 108.5942668 | -2.25496421535354e-09 | 108.594266802255 |
| 115 | 67.96926678 | -2.2550210587724e-09 | 67.969266782255 |
| 116 | 34.09426678 | -6.00500982272933e-09 | 34.094266786005 |
| 117 | -13.71823322 | -2.55091947565234e-10 | -13.7182332197449 |
| 118 | -113.0932332 | -6.63001742395863e-09 | -113.09323319337 |
| 119 | 54.34426678 | 3.99500521552909e-09 | 54.344266776005 |
| 120 | 149.7192668 | 4.99500174555578e-09 | 149.719266795005 |
| 121 | 153.8590954 | -1.44012801683857e-09 | 153.85909540144 |
| 122 | -28.28996923 | 1.49487178191521e-09 | -28.2899692314949 |
| 123 | 238.1475308 | 7.18259229870455e-09 | 238.147530792817 |
| 124 | 50.33503077 | -3.50517836977815e-09 | 50.3350307735052 |
| 125 | 8.022530771 | 4.9949573366348e-09 | 8.02253076600504 |
| 126 | -61.22746923 | -2.25494289907147e-09 | -61.227469227745 |
| 127 | -140.8524692 | -2.25503526962711e-09 | -140.852469197745 |
| 128 | -28.72746923 | -6.00498495373358e-09 | -28.727469223995 |
| 129 | 9.460030771 | -2.55079513067358e-10 | 9.46003077125508 |
| 130 | -121.9149692 | -6.63000321310392e-09 | -121.91496919337 |
| 131 | 41.52253077 | 3.99497679381966e-09 | 41.522530766005 |
| 132 | 115.8975308 | 4.99497332384635e-09 | 115.897530795005 |
| 133 | 27.03735936 | -1.44011025327018e-09 | 27.0373593614401 |
| 134 | -91.11170524 | 1.4948398074921e-09 | -91.1117052414948 |
| 135 | 3.325794759 | 7.18254344889147e-09 | 3.32579475181746 |
| 136 | -29.48670524 | -3.50517836977815e-09 | -29.4867052364948 |
| 137 | -73.79920524 | 4.99497332384635e-09 | -73.799205244995 |
| 138 | 50.95079476 | -2.25492868821675e-09 | 50.9507947622549 |
| 139 | -86.67420524 | -2.2550210587724e-09 | -86.674205237745 |
| 140 | -9.54920524 | -6.00498317737674e-09 | -9.54920523399502 |
| 141 | -66.36170524 | -2.55099052992591e-10 | -66.3617052397449 |
| 142 | 73.26329476 | -6.63004584566806e-09 | 73.26329476663 |
| 143 | -216.2992052 | 3.99495547753759e-09 | -216.299205203995 |
| 144 | -128.9242052 | 4.99500174555578e-09 | -128.924205204995 |
| 145 | -142.7843767 | -1.44009959512914e-09 | -142.78437669856 |
| 146 | 27.06655875 | 1.49488244005624e-09 | 27.0665587485051 |
| 147 | 60.50405875 | 7.18252834985833e-09 | 60.5040587428175 |
| 148 | 35.69155875 | -3.50520679148758e-09 | 35.6915587535052 |
| 149 | 16.37905875 | 4.99495200756428e-09 | 16.3790587450050 |
| 150 | -64.87094125 | -2.25495000449882e-09 | -64.870941247745 |
| 151 | 115.5040587 | -2.25506369133655e-09 | 115.504058702255 |
| 152 | -30.37094125 | -6.0049814010199e-09 | -30.370941243995 |
| 153 | 87.81655875 | -2.55056420428446e-10 | 87.816558750255 |
| 154 | 205.4415587 | -6.63015953250579e-09 | 205.44155870663 |
| 155 | -64.12094125 | 3.99498389924702e-09 | -64.120941253995 |
| 156 | -322.7459413 | 4.99494490213692e-09 | -322.745941304995 |
| 157 | -139.6061127 | -1.44009959512914e-09 | -139.60611269856 |
| 158 | 35.24482274 | 1.49488244005624e-09 | 35.2448227385051 |
| 159 | -4.317677263 | 7.1825496661404e-09 | -4.31767727018255 |
| 160 | 17.86982274 | -3.50518902791919e-09 | 17.8698227435052 |
| 161 | 2.557322737 | 4.9949573366348e-09 | 2.55732273200504 |
| 162 | 129.3073227 | -2.25495000449882e-09 | 129.307322702255 |
| 163 | -16.31767726 | -2.25502816419976e-09 | -16.3176772577450 |
| 164 | 164.8073227 | -6.00505245529348e-09 | 164.807322706005 |
| 165 | 21.99482274 | -2.55088394851555e-10 | 21.9948227402551 |
| 166 | 138.6198227 | -6.63001742395863e-09 | 138.61982270663 |
| 167 | 87.05732274 | 3.99501232095645e-09 | 87.057322736005 |
| 168 | 51.43232274 | 4.99500885098314e-09 | 51.432322735005 |
| 169 | -80.42784867 | -1.44009959512914e-09 | -80.4278486685599 |
| 170 | -105.1918797 | -5.46495471098751e-09 | -105.191879694535 |
| 171 | 5.245620328 | 2.22809326544393e-10 | 5.24562032777719 |
| 172 | 68.43312033 | -1.04649302556936e-08 | 68.4331203404649 |
| 173 | -0.879379672 | -1.96479210679001e-09 | -0.879379670035208 |
| 174 | -105.1293797 | -9.21474452297844e-09 | -105.129379690785 |
| 175 | -82.75437967 | -9.21482978810673e-09 | -82.7543796607852 |
| 176 | -132.6293797 | -1.29647048652259e-08 | -132.629379687035 |
| 177 | 102.5581203 | -7.21487936061749e-09 | 102.558120307215 |
| 178 | 23.18312033 | -1.35897550990194e-08 | 23.1831203435898 |
| 179 | -180.3793797 | -2.96472535410430e-09 | -180.379379697035 |
| 180 | -267.0043797 | -1.96467908608611e-09 | -267.004379698035 |
| 181 | 30.13544892 | -8.39985858647196e-09 | 30.1354489283999 |
| 182 | 23.98638432 | -5.46487655128658e-09 | 23.9863843254649 |
| 183 | 90.42388432 | 2.22783569370222e-10 | 90.4238843197772 |
| 184 | 31.61138432 | -1.04649373611210e-08 | 31.6113843304649 |
| 185 | 81.29888432 | -1.96482119463326e-09 | 81.2988843219648 |
| 186 | 25.04888432 | -9.21468057413222e-09 | 25.0488843292147 |
| 187 | -13.57611568 | -9.21476939197419e-09 | -13.5761156707852 |
| 188 | 33.54888432 | -1.2964726181508e-08 | 33.5488843329647 |
| 189 | 140.7363843 | -7.21482251719863e-09 | 140.736384307215 |
| 190 | 132.3613843 | -1.35897266773100e-08 | 132.361384313590 |
| 191 | 94.79888432 | -2.96481061923259e-09 | 94.7988843229648 |
| 192 | 4.173884316 | -1.96472260682867e-09 | 4.17388431796472 |
