Multiple Linear Regression - Estimated Regression Equation |
Y[t] = + 2.17742567439308e-08 + 9.18380456424851e-09T[t] + 2.37968489558231e-08M1[t] -5.342838992659e-09M2[t] + 5.28955941669531e-10M3[t] -9.97425785522416e-09M4[t] -1.28997541035386e-09M5[t] -8.35568271161252e-09M6[t] -8.17139072699052e-09M7[t] -1.17371037337928e-08M8[t] -5.80283206036438e-09M9[t] -1.19935330071584e-08M10[t] -1.18422603138965e-09M11[t] -1.84286943719420e-10t + 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) | 2.17742567439308e-08 | 44.029939 | 0 | 1 | 0.5 |
T | 9.18380456424851e-09 | 41.037226 | 0 | 1 | 0.5 |
M1 | 2.37968489558231e-08 | 53.942919 | 0 | 1 | 0.5 |
M2 | -5.342838992659e-09 | 53.941479 | 0 | 1 | 0.5 |
M3 | 5.28955941669531e-10 | 53.931287 | 0 | 1 | 0.5 |
M4 | -9.97425785522416e-09 | 53.922166 | 0 | 1 | 0.5 |
M5 | -1.28997541035386e-09 | 53.914117 | 0 | 1 | 0.5 |
M6 | -8.35568271161252e-09 | 53.907141 | 0 | 1 | 0.5 |
M7 | -8.17139072699052e-09 | 53.901237 | 0 | 1 | 0.5 |
M8 | -1.17371037337928e-08 | 53.896405 | 0 | 1 | 0.5 |
M9 | -5.80283206036438e-09 | 53.892648 | 0 | 1 | 0.5 |
M10 | -1.19935330071584e-08 | 53.889963 | 0 | 1 | 0.5 |
M11 | -1.18422603138965e-09 | 53.888353 | 0 | 1 | 0.5 |
t | -1.84286943719420e-10 | 0.240551 | 0 | 1 | 0.5 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 8.78616408123945e-11 |
R-squared | 7.71966792624623e-21 |
Adjusted R-squared | -0.0730337078651686 |
F-TEST (value) | 1.05700068528602e-19 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 178 |
p-value | 1 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 152.417759553726 |
Sum Squared Residuals | 4135148.8700732 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | -183.923544 | 4.5386883584797e-08 | -183.923544045387 |
2 | -177.0726091 | 1.60628133016871e-08 | -177.072609116063 |
3 | -228.6351091 | 2.17504521060619e-08 | -228.635109121750 |
4 | -237.4476091 | 1.10628661786905e-08 | -237.447609111063 |
5 | -127.7601091 | 1.95628899746225e-08 | -127.760109119563 |
6 | -193.0101091 | 1.23128245377302e-08 | -193.010109112313 |
7 | -220.6351091 | 1.23128245377302e-08 | -220.635109112313 |
8 | -164.5101091 | 8.56289261719212e-09 | -164.510109108563 |
9 | -268.3226091 | 1.43128318086383e-08 | -268.322609114313 |
10 | -333.6976091 | 7.93784238339867e-09 | -333.697609107938 |
11 | -34.26010911 | 1.85628366011770e-08 | -34.2601091285628 |
12 | -154.8851091 | 1.95628047094942e-08 | -154.885109119563 |
13 | -97.74528053 | 4.31753619523079e-08 | -97.7452805731754 |
14 | 101.1056549 | 1.38513627234715e-08 | 101.105654886149 |
15 | 2.543154874 | 1.95389047163985e-08 | 2.54315485446110 |
16 | -43.26934513 | 8.8514084950475e-09 | -43.2693451388514 |
17 | -163.5818451 | 1.73513967638428e-08 | -163.581845117351 |
18 | -162.8318451 | 1.01014165920787e-08 | -162.831845110101 |
19 | 46.54315487 | 1.01014165920787e-08 | 46.5431548598986 |
20 | 26.66815487 | 6.35141716998078e-09 | 26.6681548636486 |
21 | -107.1443451 | 1.21014096521321e-08 | -107.144345112101 |
22 | 42.48065487 | 5.7264060160378e-09 | 42.4806548642736 |
23 | 76.91815487 | 1.63513789175340e-08 | 76.9181548536486 |
24 | 196.2931549 | 1.73513683421334e-08 | 196.293154882649 |
25 | 201.4329835 | 4.0963925584947e-08 | 201.432983459036 |
26 | 12.28391886 | 1.16399547778201e-08 | 12.2839188483600 |
27 | -0.278581137 | 1.73274564141401e-08 | -0.278581154327456 |
28 | 42.90891886 | 6.63997212768663e-09 | 42.90891885336 |
29 | 87.59641886 | 1.51399888181913e-08 | 87.59641884486 |
30 | 84.34641886 | 7.88999443557259e-09 | 84.34641885211 |
31 | 57.72141886 | 7.88997311929052e-09 | 57.72141885211 |
32 | 173.8464189 | 4.13999146076094e-09 | 173.84641889586 |
33 | -185.9660811 | 9.88998749562597e-09 | -185.96608110989 |
34 | 47.65891886 | 3.51494833239485e-09 | 47.6589188564851 |
35 | 89.09641886 | 1.41399567610279e-08 | 89.09641884586 |
36 | -68.52858114 | 1.51399319747725e-08 | -68.52858115514 |
37 | 272.6112475 | 3.8752546061005e-08 | 272.611247461247 |
38 | 146.4621829 | 9.4285041996045e-09 | 146.462182890571 |
39 | 162.8996829 | 1.51160293171415e-08 | 162.899682884884 |
40 | 10.08718285 | 4.4285375366826e-09 | 10.0871828455715 |
41 | 279.7746829 | 1.29284103422833e-08 | 279.774682887072 |
42 | 212.5246829 | 5.67851543564757e-09 | 212.524682894321 |
43 | 248.8996829 | 5.67843017051928e-09 | 248.899682894322 |
44 | -41.97531715 | 1.92853377711799e-09 | -41.9753171519285 |
45 | -5.787817149 | 7.67852181837725e-09 | -5.78781715667852 |
46 | 52.83718285 | 1.30351907046133e-09 | 52.8371828486965 |
47 | 274.2746829 | 1.19284777611028e-08 | 274.274682888072 |
48 | 414.6496829 | 1.29284671857022e-08 | 414.649682887072 |
49 | 310.7895114 | 3.65410528502252e-08 | 310.789511363459 |
50 | 362.6404468 | 7.21723836250021e-09 | 362.640446792783 |
51 | 26.07794684 | 1.29045822916396e-08 | 26.0779468270954 |
52 | 403.2654468 | 2.21706386582810e-09 | 403.265446797783 |
53 | 327.9529468 | 1.07169739749224e-08 | 327.952946789283 |
54 | 193.7029468 | 3.46710748999612e-09 | 193.702946796533 |
55 | 317.0779468 | 3.4669938031584e-09 | 317.077946796533 |
56 | 202.2029468 | -2.82881273960811e-10 | 202.202946800283 |
57 | 321.3904468 | 5.46702949577593e-09 | 321.390446794533 |
58 | 178.0154468 | -9.07931507754256e-10 | 178.015446800908 |
59 | 16.45294684 | 9.71709468444715e-09 | 16.4529468302829 |
60 | -68.17205316 | 1.07170450291960e-08 | -68.172053170717 |
61 | -157.0322246 | 3.43296164828644e-08 | -157.032224634330 |
62 | -76.18128917 | 5.00560304317332e-09 | -76.1812891750056 |
63 | -81.74378917 | 1.06931281607103e-08 | -81.7437891806931 |
64 | -134.5562892 | 5.6559201766504e-12 | -134.556289200006 |
65 | 77.13121083 | 8.505665505254e-09 | 77.1312108214943 |
66 | 199.8812108 | 1.25564270092582e-09 | 199.881210798744 |
67 | 105.2562108 | 1.25567112263525e-09 | 105.256210798744 |
68 | 198.3812108 | -2.49428921961226e-09 | 198.381210802494 |
69 | 262.5687108 | 3.25559312841506e-09 | 262.568710796744 |
70 | 196.1937108 | -3.11928260998684e-09 | 196.193710803119 |
71 | 11.63121083 | 7.50564765894524e-09 | 11.6312108224944 |
72 | -145.9937892 | 8.505566029271e-09 | -145.993789208506 |
73 | -166.8539606 | 3.21181516937941e-08 | -166.853960632118 |
74 | -202.0030252 | 2.79422351923131e-09 | -202.003025202794 |
75 | 43.43447482 | 8.48169179334946e-09 | 43.4344748115183 |
76 | -113.3780252 | -2.20578044718422e-09 | -113.378025197794 |
77 | -113.6905252 | 6.29421492703841e-09 | -113.690525206294 |
78 | -155.9405252 | -9.55793666435056e-10 | -155.940525199044 |
79 | -210.5655252 | -9.55793666435056e-10 | -210.565525199044 |
80 | -124.4405252 | -4.70579664124671e-09 | -124.440525195294 |
81 | -64.25302518 | 1.04418518276361e-09 | -64.2530251810442 |
82 | -298.6280252 | -5.33083266418544e-09 | -298.628025194669 |
83 | -154.1905252 | 5.29419708072965e-09 | -154.190525205294 |
84 | 23.18447482 | 6.29415808361955e-09 | 23.1844748137058 |
85 | -249.6756966 | 2.99066869047238e-08 | -249.675696629907 |
86 | 118.1752388 | 5.82701886742143e-10 | 118.175238799417 |
87 | -180.3872612 | 6.27028384769801e-09 | -180.387261206270 |
88 | -79.19976119 | -4.41723102539981e-09 | -79.1997611855828 |
89 | -81.51226119 | 4.08276434882282e-09 | -81.5122611940828 |
90 | -246.7622612 | -3.16725845550536e-09 | -246.762261196833 |
91 | -105.3872612 | -3.16724424465065e-09 | -105.387261196833 |
92 | -319.2622612 | -6.91727564117173e-09 | -319.262261193083 |
93 | -72.07476119 | -1.16726539545198e-09 | -72.0747611888327 |
94 | -90.44976119 | -7.5422548206916e-09 | -90.4497611824577 |
95 | -80.01226119 | 3.08274650251406e-09 | -80.0122611930828 |
96 | 119.3627388 | 4.08269329454924e-09 | 119.362738795917 |
97 | -53.49743261 | 2.76952221156535e-08 | -53.4974326376952 |
98 | -114.6464972 | -1.62862079378101e-09 | -114.646497198371 |
99 | -155.2089972 | 4.05881905862771e-09 | -155.208997204059 |
100 | -50.02149721 | -6.6286816036154e-09 | -50.0214972033713 |
101 | -196.3339972 | 1.87131377060723e-09 | -196.333997201871 |
102 | -14.58399721 | -5.37869482286624e-09 | -14.5839972046213 |
103 | -82.20899721 | -5.37868061201152e-09 | -82.2089972046213 |
104 | 17.91600279 | -9.12868358682317e-09 | 17.9160027991287 |
105 | -162.8964972 | -3.37868755195814e-09 | -162.896497196621 |
106 | -132.2714972 | -9.75370539890719e-09 | -132.271497190246 |
107 | -16.83399721 | 8.71331451435253e-10 | -16.8339972108713 |
108 | 81.54100279 | 1.87122850547894e-09 | 81.5410027881288 |
109 | 275.6808314 | 2.54838710134209e-08 | 275.680831374516 |
110 | -32.46823322 | -3.84016374255225e-09 | -32.4682332161598 |
111 | 17.96926678 | 1.84735782227108e-09 | 17.9692667781526 |
112 | 27.15676678 | -8.84012152368996e-09 | 27.1567667888401 |
113 | -123.1557332 | -3.40151018463075e-10 | -123.155733199660 |
114 | 108.5942668 | -7.59013119022711e-09 | 108.594266807590 |
115 | 67.96926678 | -7.59013119022711e-09 | 67.9692667875901 |
116 | 34.09426678 | -1.13401270596114e-08 | 34.0942667913401 |
117 | -13.71823322 | -5.59013102474637e-09 | -13.7182332144099 |
118 | -113.0932332 | -1.19651275554133e-08 | -113.093233188035 |
119 | 54.34426678 | -1.34011912678034e-09 | 54.3442667813401 |
120 | 149.7192668 | -3.40179440172506e-10 | 149.719266800340 |
121 | 153.8590954 | 2.32723209592223e-08 | 153.859095376728 |
122 | -28.28996923 | -6.05158234634473e-09 | -28.2899692239484 |
123 | 238.1475308 | -3.64082097803475e-10 | 238.147530800364 |
124 | 50.33503077 | -1.10515756546192e-08 | 50.3350307810516 |
125 | 8.022530771 | -2.55157317496923e-09 | 8.02253077355157 |
126 | -61.22746923 | -9.8015817684427e-09 | -61.2274692201984 |
127 | -140.8524692 | -9.80156755758799e-09 | -140.852469190198 |
128 | -28.72746923 | -1.35515705323996e-08 | -28.7274692164484 |
129 | 9.460030771 | -7.80156739210724e-09 | 9.46003077880157 |
130 | -121.9149692 | -1.41765923444837e-08 | -121.914969185823 |
131 | 41.52253077 | -3.55158391585064e-09 | 41.5225307735516 |
132 | 115.8975308 | -2.55163001838810e-09 | 115.897530802552 |
133 | 27.03735936 | 2.10609236717119e-08 | 27.0373593389391 |
134 | -91.11170524 | -8.26304358270136e-09 | -91.111705231737 |
135 | 3.325794759 | -2.57552468241329e-09 | 3.32579476157552 |
136 | -29.48670524 | -1.32630191274075e-08 | -29.486705226737 |
137 | -73.79920524 | -4.76300954233011e-09 | -73.799205235237 |
138 | 50.95079476 | -1.20130181358036e-08 | 50.950794772013 |
139 | -86.67420524 | -1.20130181358036e-08 | -86.674205227987 |
140 | -9.54920524 | -1.57630086761174e-08 | -9.549205224237 |
141 | -66.36170524 | -1.00130250757502e-08 | -66.361705229987 |
142 | 73.26329476 | -1.63880571335540e-08 | 73.263294776388 |
143 | -216.2992052 | -5.76301317778416e-09 | -216.299205194237 |
144 | -128.9242052 | -4.76305217489426e-09 | -128.924205195237 |
145 | -142.7843767 | 1.88495334896288e-08 | -142.784376718850 |
146 | 27.06655875 | -1.04744728446349e-08 | 27.0665587604745 |
147 | 60.50405875 | -4.7869761488073e-09 | 60.504058754787 |
148 | 35.69155875 | -1.54744483893410e-08 | 35.6915587654744 |
149 | 16.37905875 | -6.97446722597306e-09 | 16.3790587569745 |
150 | -64.87094125 | -1.42244687140192e-08 | -64.8709412357755 |
151 | 115.5040587 | -1.42244402923097e-08 | 115.504058714224 |
152 | -30.37094125 | -1.79744574779761e-08 | -30.3709412320255 |
153 | 87.81655875 | -1.22244898648205e-08 | 87.8165587622245 |
154 | 205.4415587 | -1.85993940249318e-08 | 205.441558718599 |
155 | -64.12094125 | -7.97446375599975e-09 | -64.1209412420255 |
156 | -322.7459413 | -6.97451696396456e-09 | -322.745941293026 |
157 | -139.6061127 | 1.66380971222679e-08 | -139.606112716638 |
158 | 35.24482274 | -1.26859163174231e-08 | 35.2448227526859 |
159 | -4.317677263 | -6.99841251616817e-09 | -4.31767725600159 |
160 | 17.86982274 | -1.76858954148429e-08 | 17.8698227576859 |
161 | 2.557322737 | -9.18590536969077e-09 | 2.55732274618591 |
162 | 129.3073227 | -1.64359050813800e-08 | 129.307322716436 |
163 | -16.31767726 | -1.6435894423239e-08 | -16.3176772435641 |
164 | 164.8073227 | -2.01858938453370e-08 | 164.807322720186 |
165 | 21.99482274 | -1.44359226794677e-08 | 21.9948227544359 |
166 | 138.6198227 | -2.0810915657421e-08 | 138.619822720811 |
167 | 87.05732274 | -1.01859143342153e-08 | 87.057322750186 |
168 | 51.43232274 | -9.18595333132544e-09 | 51.432322749186 |
169 | -80.42784867 | 1.44265470680693e-08 | -80.4278486844266 |
170 | -105.1918797 | -5.71355940337526e-09 | -105.191879694286 |
171 | 5.245620328 | -2.60387267303486e-11 | 5.24562032802604 |
172 | 68.43312033 | -1.07135207372266e-08 | 68.4331203407135 |
173 | -0.879379672 | -2.21353013696302e-09 | -0.87937966978647 |
174 | -105.1293797 | -9.46359079989634e-09 | -105.129379690536 |
175 | -82.75437967 | -9.46357658904162e-09 | -82.7543796605364 |
176 | -132.6293797 | -1.32135653529986e-08 | -132.629379686786 |
177 | 102.5581203 | -7.46358352898824e-09 | 102.558120307464 |
178 | 23.18312033 | -1.38385445325184e-08 | 23.1831203438385 |
179 | -180.3793797 | -3.2134721550392e-09 | -180.379379696787 |
180 | -267.0043797 | -2.21353957385872e-09 | -267.004379697786 |
181 | 30.13544892 | 2.13989679309634e-08 | 30.1354488986010 |
182 | 23.98638432 | -7.92500287616349e-09 | 23.986384327925 |
183 | 90.42388432 | -2.23749907490856e-09 | 90.4238843222375 |
184 | 31.61138432 | -1.29249642100149e-08 | 31.6113843329250 |
185 | 81.29888432 | -4.42499015207432e-09 | 81.298884324425 |
186 | 25.04888432 | -1.16749845346931e-08 | 25.048884331675 |
187 | -13.57611568 | -1.16749685474815e-08 | -13.5761156683250 |
188 | 33.54888432 | -1.54249661932226e-08 | 33.5488843354250 |
189 | 140.7363843 | -9.6750056854944e-09 | 140.736384309675 |
190 | 132.3613843 | -1.60499951107340e-08 | 132.36138431605 |
191 | 94.79888432 | -5.42497957667365e-09 | 94.798884325425 |
192 | 4.173884316 | -4.42500702746429e-09 | 4.17388432042501 |