Multiple Linear Regression - Estimated Regression Equation |
y[t] = + 1.21654431132889e-08 + 6.88735776348077e-10x[t] -6.8334583240873e-09M1[t] -4.29661928209056e-09M2[t] + 1.47049105461567e-09M3[t] -9.1375158892331e-09M4[t] -5.57685126062429e-10M5[t] -7.72802527863611e-09M6[t] -7.64838770393621e-09M7[t] -1.13185688938199e-08M8[t] -5.48910731490598e-09M9[t] -1.17843471254250e-08M10[t] -1.07967748508455e-09M11[t] -7.9671781335216e-11t + 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) | 1.21654431132889e-08 | 44.029939 | 0 | 1 | 0.5 |
x | 6.88735776348077e-10 | 41.037226 | 0 | 1 | 0.5 |
M1 | -6.8334583240873e-09 | 53.942919 | 0 | 1 | 0.5 |
M2 | -4.29661928209056e-09 | 53.941479 | 0 | 1 | 0.5 |
M3 | 1.47049105461567e-09 | 53.931287 | 0 | 1 | 0.5 |
M4 | -9.1375158892331e-09 | 53.922166 | 0 | 1 | 0.5 |
M5 | -5.57685126062429e-10 | 53.914117 | 0 | 1 | 0.5 |
M6 | -7.72802527863611e-09 | 53.907141 | 0 | 1 | 0.5 |
M7 | -7.64838770393621e-09 | 53.901237 | 0 | 1 | 0.5 |
M8 | -1.13185688938199e-08 | 53.896405 | 0 | 1 | 0.5 |
M9 | -5.48910731490598e-09 | 53.892648 | 0 | 1 | 0.5 |
M10 | -1.17843471254250e-08 | 53.889963 | 0 | 1 | 0.5 |
M11 | -1.07967748508455e-09 | 53.888353 | 0 | 1 | 0.5 |
t | -7.9671781335216e-11 | 0.240551 | 0 | 1 | 0.5 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 4.14282819785689e-11 |
R-squared | 1.71630254769581e-21 |
Adjusted R-squared | -0.0730337078651686 |
F-TEST (value) | 2.35001425761427e-20 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 178 |
p-value | 1 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 152.417759557116 |
Sum Squared Residuals | 4135148.87025712 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | -183.9235445 | 5.25224663761037e-09 | -183.923544505252 |
2 | -177.0726091 | 7.70918973103107e-09 | -177.072609107709 |
3 | -228.6351091 | 1.33968569571152e-08 | -228.635109113397 |
4 | -237.4476091 | 2.70995315077016e-09 | -237.44760910271 |
5 | -127.7601091 | 1.12092806148212e-08 | -127.760109111209 |
6 | -193.0101091 | 3.95957044929673e-09 | -193.010109103960 |
7 | -220.6351091 | 3.95951360587787e-09 | -220.635109103960 |
8 | -164.5101091 | 2.09183781407773e-10 | -164.510109100209 |
9 | -268.3226091 | 5.95935034652939e-09 | -268.322609105959 |
10 | -333.6976091 | -4.15298018197063e-10 | -333.697609099585 |
11 | -34.26010911 | 1.02093764553501e-08 | -34.2601091202094 |
12 | -154.8851091 | 1.12094653559325e-08 | -154.885109111209 |
13 | -97.74528053 | 4.29619717579044e-09 | -97.7452805342962 |
14 | 101.1056549 | 6.75311184750171e-09 | 101.105654893247 |
15 | 2.543154874 | 1.24408705559631e-08 | 2.54315486155913 |
16 | -43.26934513 | 1.75317182993240e-09 | -43.2693451317532 |
17 | -163.5818451 | 1.02532737855654e-08 | -163.581845110253 |
18 | -162.8318451 | 3.00346414405794e-09 | -162.831845103003 |
19 | 46.54315487 | 3.00328650837400e-09 | 46.5431548669967 |
20 | 26.66815487 | -7.46641859450392e-10 | 26.6681548707466 |
21 | -107.1443451 | 5.00320140872645e-09 | -107.144345105003 |
22 | 42.48065487 | -1.37166722424809e-09 | 42.4806548713717 |
23 | 76.91815487 | 9.25328436096606e-09 | 76.9181548607467 |
24 | 196.2931549 | 1.02533306289843e-08 | 196.293154889747 |
25 | 201.4329835 | 3.34020455738937e-09 | 201.43298349666 |
26 | 12.28391886 | 5.79717074344899e-09 | 12.2839188542028 |
27 | -0.278581137 | 1.14848128784928e-08 | -0.278581148484813 |
28 | 42.90891886 | 7.9708684097568e-10 | 42.9089188592029 |
29 | 87.59641886 | 9.2972527454549e-09 | 87.5964188507027 |
30 | 84.34641886 | 2.04735783881915e-09 | 84.3464188579526 |
31 | 57.72141886 | 2.04725125740879e-09 | 57.7214188579527 |
32 | 173.8464189 | -1.70268776855664e-09 | 173.846418901703 |
33 | -185.9660811 | 4.04719457947067e-09 | -185.966081104047 |
34 | 47.65891886 | -2.32775931863216e-09 | 47.6589188623278 |
35 | 89.09641886 | 8.29723489914613e-09 | 89.0964188517028 |
36 | -68.52858114 | 9.29729537801904e-09 | -68.5285811492973 |
37 | 272.6112475 | 2.38418351727887e-09 | 272.611247497616 |
38 | 146.4621829 | 4.84106976728071e-09 | 146.462182895159 |
39 | 162.8996829 | 1.05287654150743e-08 | 162.899682889471 |
40 | 10.08718285 | -1.58959068130571e-10 | 10.0871828501590 |
41 | 279.7746829 | 8.34120328363497e-09 | 279.774682891659 |
42 | 212.5246829 | 1.09130837699922e-09 | 212.524682898909 |
43 | 248.8996829 | 1.09136522041808e-09 | 248.899682898909 |
44 | -41.97531715 | -2.65875854665865e-09 | -41.9753171473412 |
45 | -5.787817149 | 3.0910891624103e-09 | -5.78781715209109 |
46 | 52.83718285 | -3.28381588587945e-09 | 52.8371828532838 |
47 | 274.2746829 | 7.34121385903563e-09 | 274.274682892659 |
48 | 414.6496829 | 8.34120328363497e-09 | 414.649682891659 |
49 | 310.7895114 | 1.42807721204008e-09 | 310.789511398572 |
50 | 362.6404468 | 3.88507714887965e-09 | 362.640446796115 |
51 | 26.07794684 | 9.57269108425862e-09 | 26.0779468304273 |
52 | 403.2654468 | -1.11504050437361e-09 | 403.265446801115 |
53 | 327.9529468 | 7.38515382181504e-09 | 327.952946792615 |
54 | 193.7029468 | 1.35287336888723e-10 | 193.702946799865 |
55 | 317.0779468 | 1.35230493469862e-10 | 317.077946799865 |
56 | 202.2029468 | -3.61475827048707e-09 | 202.202946803615 |
57 | 321.3904468 | 2.13503881241195e-09 | 321.390446797865 |
58 | 178.0154468 | -4.23980850428052e-09 | 178.015446804240 |
59 | 16.45294684 | 6.3851324227926e-09 | 16.4529468336149 |
60 | -68.17205316 | 7.38516803266975e-09 | -68.1720531673852 |
61 | -157.0322246 | 4.7202775022015e-10 | -157.032224600472 |
62 | -76.18128917 | 2.92894242193142e-09 | -76.181289172929 |
63 | -81.74378917 | 8.61660964801558e-09 | -81.7437891786166 |
64 | -134.5562892 | -2.07108996619354e-09 | -134.556289197929 |
65 | 77.13121083 | 6.42906172743096e-09 | 77.131210823571 |
66 | 199.8812108 | -8.20818968350068e-10 | 199.881210800821 |
67 | 105.2562108 | -8.2093265518779e-10 | 105.256210800821 |
68 | 198.3812108 | -4.57089299743529e-09 | 198.381210804571 |
69 | 262.5687108 | 1.17898935059202e-09 | 262.568710798821 |
70 | 196.1937108 | -5.19594323122874e-09 | 196.193710805196 |
71 | 11.63121083 | 5.42904565747904e-09 | 11.6312108245710 |
72 | -145.9937892 | 6.42907593828568e-09 | -145.993789206429 |
73 | -166.8539606 | -4.8402171159978e-10 | -166.853960599516 |
74 | -202.0030252 | 1.97292138182092e-09 | -202.003025201973 |
75 | 43.43447482 | 7.6605530807683e-09 | 43.4344748123394 |
76 | -113.3780252 | -3.0271678497229e-09 | -113.378025196973 |
77 | -113.6905252 | 5.47302647646575e-09 | -113.690525205473 |
78 | -155.9405252 | -1.77689685187943e-09 | -155.940525198223 |
79 | -210.5655252 | -1.77701053871715e-09 | -210.565525198223 |
80 | -124.4405252 | -5.52694245925522e-09 | -124.440525194473 |
81 | -64.25302518 | 2.22939888772089e-10 | -64.253025180223 |
82 | -298.6280252 | -6.15193584962981e-09 | -298.628025193848 |
83 | -154.1905252 | 4.47300863015698e-09 | -154.190525204473 |
84 | 23.18447482 | 5.47305489817518e-09 | 23.1844748145269 |
85 | -249.6756966 | -1.44015643854800e-09 | -249.67569659856 |
86 | 118.1752388 | 1.01680086572742e-09 | 118.175238798983 |
87 | -180.3872612 | 6.70453914608515e-09 | -180.387261206705 |
88 | -79.19976119 | -3.98320310068812e-09 | -79.1997611860168 |
89 | -81.51226119 | 4.51697701464582e-09 | -81.512261194517 |
90 | -246.7622612 | -2.73291789198993e-09 | -246.762261197267 |
91 | -105.3872612 | -2.73310263310123e-09 | -105.387261197267 |
92 | -319.2622612 | -6.48299192107515e-09 | -319.262261193517 |
93 | -72.07476119 | -7.33109573047841e-10 | -72.0747611892669 |
94 | -90.44976119 | -7.1080421548686e-09 | -90.449761182892 |
95 | -80.01226119 | 3.51695916833705e-09 | -80.012261193517 |
96 | 119.3627388 | 4.5169628037911e-09 | 119.362738795483 |
97 | -53.49743261 | -2.39613484609436e-09 | -53.4974326076039 |
98 | -114.6464972 | 6.08224581810646e-11 | -114.646497200061 |
99 | -155.2089972 | 5.74846126255579e-09 | -155.208997205748 |
100 | -50.02149721 | -4.9392596679354e-09 | -50.0214972050607 |
101 | -196.3339972 | 3.56087070940703e-09 | -196.333997203561 |
102 | -14.58399721 | -3.6890277499424e-09 | -14.5839972063110 |
103 | -82.20899721 | -3.68912367321172e-09 | -82.2089972063109 |
104 | 17.91600279 | -7.4390555937498e-09 | 17.9160027974391 |
105 | -162.8964972 | -1.6891874565772e-09 | -162.896497198311 |
106 | -132.2714972 | -8.06412003839796e-09 | -132.271497191936 |
107 | -16.83399721 | 2.56090260108977e-09 | -16.8339972125609 |
108 | 81.54100279 | 3.56092755282589e-09 | 81.541002786439 |
109 | 275.6808314 | -3.35222694047843e-09 | 275.680831403352 |
110 | -32.46823322 | -8.95269636203011e-10 | -32.4682332191047 |
111 | 17.96926678 | 4.79240114259483e-09 | 17.9692667752076 |
112 | 27.15676678 | -5.8953482096058e-09 | 27.1567667858953 |
113 | -123.1557332 | 2.60477861502295e-09 | -123.155733202605 |
114 | 108.5942668 | -4.64507365904865e-09 | 108.594266804645 |
115 | 67.96926678 | -4.6452157675958e-09 | 67.9692667846452 |
116 | 34.09426678 | -8.39513347727916e-09 | 34.0942667883951 |
117 | -13.71823322 | -2.64524757653817e-09 | -13.7182332173548 |
118 | -113.0932332 | -9.0201837110726e-09 | -113.093233190980 |
119 | 54.34426678 | 1.60481050670569e-09 | 54.3442667783952 |
120 | 149.7192668 | 2.60487809100596e-09 | 149.719266797395 |
121 | 153.8590954 | -4.30827640229836e-09 | 153.859095404308 |
122 | -28.28996923 | -1.85130843988190e-09 | -28.2899692281487 |
123 | 238.1475308 | 3.83636233891593e-09 | 238.147530796164 |
124 | 50.33503077 | -6.85140122413941e-09 | 50.3350307768514 |
125 | 8.022530771 | 1.64876645669665e-09 | 8.02253076935123 |
126 | -61.22746923 | -5.60113022629594e-09 | -61.2274692243989 |
127 | -140.8524692 | -5.6012368077063e-09 | -140.852469194399 |
128 | -28.72746923 | -9.3511651755307e-09 | -28.7274692206488 |
129 | 9.460030771 | -3.60132013099701e-09 | 9.46003077460132 |
130 | -121.9149692 | -9.97621896203782e-09 | -121.914969190024 |
131 | 41.52253077 | 6.48739728603687e-10 | 41.5225307693513 |
132 | 115.8975308 | 1.64880020747660e-09 | 115.897530798351 |
133 | 27.03735936 | -5.26435073311404e-09 | 27.0373593652644 |
134 | -91.11170524 | -2.80742540326173e-09 | -91.1117052371926 |
135 | 3.325794759 | 2.8802675799966e-09 | 3.32579475611973 |
136 | -29.48670524 | -7.80743647510462e-09 | -29.4867052321926 |
137 | -73.79920524 | 6.92722323947237e-10 | -73.7992052406927 |
138 | 50.95079476 | -6.55720100439794e-09 | 50.9507947665572 |
139 | -86.67420524 | -6.55731469123566e-09 | -86.6742052334427 |
140 | -9.54920524 | -1.03072270718485e-08 | -9.54920522969277 |
141 | -66.36170524 | -4.55736426374642e-09 | -66.3617052354426 |
142 | 73.26329476 | -1.09323678998408e-08 | 73.2632947709324 |
143 | -216.2992052 | -3.07267100652098e-10 | -216.299205199693 |
144 | -128.9242052 | 6.92722323947237e-10 | -128.924205200693 |
145 | -142.7843767 | -6.22037532593822e-09 | -142.784376693780 |
146 | 27.06655875 | -3.76343223251752e-09 | 27.0665587537634 |
147 | 60.50405875 | 1.92419946642985e-09 | 60.5040587480758 |
148 | 35.69155875 | -8.76353567491606e-09 | 35.6915587587635 |
149 | 16.37905875 | -2.63348454154766e-10 | 16.3790587502633 |
150 | -64.87094125 | -7.51326467707258e-09 | -64.8709412424867 |
151 | 115.5040587 | -7.51336415305559e-09 | 115.504058707513 |
152 | -30.37094125 | -1.12632818627389e-08 | -30.3709412387367 |
153 | 87.81655875 | -5.51339951471164e-09 | 87.8165587555134 |
154 | 205.4415587 | -1.18883463073871e-08 | 205.441558711888 |
155 | -64.12094125 | -1.26334498418146e-09 | -64.1209412487367 |
156 | -322.7459413 | -2.63298716163263e-10 | -322.745941299737 |
157 | -139.6061127 | -7.17642478775815e-09 | -139.606112692824 |
158 | 35.24482274 | -4.7194887997648e-09 | 35.2448227447195 |
159 | -4.317677263 | 9.68151780966764e-10 | -4.31767726396815 |
160 | 17.86982274 | -9.71957447859495e-09 | 17.8698227497196 |
161 | 2.557322737 | -1.21941035047257e-09 | 2.55732273821941 |
162 | 129.3073227 | -8.4692999280378e-09 | 129.307322708469 |
163 | -16.31767726 | -8.46943137844391e-09 | -16.3176772515306 |
164 | 164.8073227 | -1.22193455354136e-08 | 164.807322712219 |
165 | 21.99482274 | -6.46948805638203e-09 | 21.9948227464695 |
166 | 138.6198227 | -1.28443673474976e-08 | 138.619822712844 |
167 | 87.05732274 | -2.21940865685610e-09 | 87.0573227422194 |
168 | 51.43232274 | -1.21939081054734e-09 | 51.4323227412194 |
169 | -80.42784867 | -8.1324884604328e-09 | -80.4278486618675 |
170 | -105.1918797 | -4.98685892580397e-09 | -105.191879695013 |
171 | 5.245620328 | 7.00855373736431e-10 | 5.24562032729914 |
172 | 68.43312033 | -9.98689131392894e-09 | 68.4331203399869 |
173 | -0.879379672 | -1.48672829602958e-09 | -0.879379670513272 |
174 | -105.1293797 | -8.73670558121376e-09 | -105.129379691263 |
175 | -82.75437967 | -8.73676242463262e-09 | -82.7543796612632 |
176 | -132.6293797 | -1.24866801343160e-08 | -132.629379687513 |
177 | 102.5581203 | -6.7368404188528e-09 | 102.558120306737 |
178 | 23.18312033 | -1.31117090518273e-08 | 23.1831203431117 |
179 | -180.3793797 | -2.48667220148491e-09 | -180.379379697513 |
180 | -267.0043797 | -1.48662593346671e-09 | -267.004379698513 |
181 | 30.13544892 | -8.39983016476253e-09 | 30.1354489283998 |
182 | 23.98638432 | -5.94286575505976e-09 | 23.9863843259429 |
183 | 90.42388432 | -2.55241161539743e-10 | 90.4238843202552 |
184 | 31.61138432 | -1.09429336703215e-08 | 31.6113843309429 |
185 | 81.29888432 | -2.44281750383379e-09 | 81.2988843224428 |
186 | 25.04888432 | -9.69269819961482e-09 | 25.0488843296927 |
187 | -13.57611568 | -9.69279057017047e-09 | -13.5761156703072 |
188 | 33.54888432 | -1.34427153852812e-08 | 33.5488843334427 |
189 | 140.7363843 | -7.69284724810859e-09 | 140.736384307693 |
190 | 132.3613843 | -1.40677229865105e-08 | 132.361384314068 |
191 | 94.79888432 | -3.44282113928784e-09 | 94.7988843234428 |
192 | 4.173884316 | -2.44274023231128e-09 | 4.17388431844274 |