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
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.21654431132889e-0844.029939010.5
x6.88735776348077e-1041.037226010.5
M1-6.8334583240873e-0953.942919010.5
M2-4.29661928209056e-0953.941479010.5
M31.47049105461567e-0953.931287010.5
M4-9.1375158892331e-0953.922166010.5
M5-5.57685126062429e-1053.914117010.5
M6-7.72802527863611e-0953.907141010.5
M7-7.64838770393621e-0953.901237010.5
M8-1.13185688938199e-0853.896405010.5
M9-5.48910731490598e-0953.892648010.5
M10-1.17843471254250e-0853.889963010.5
M11-1.07967748508455e-0953.888353010.5
t-7.9671781335216e-110.240551010.5


Multiple Linear Regression - Regression Statistics
Multiple R4.14282819785689e-11
R-squared1.71630254769581e-21
Adjusted R-squared-0.0730337078651686
F-TEST (value)2.35001425761427e-20
F-TEST (DF numerator)13
F-TEST (DF denominator)178
p-value1
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation152.417759557116
Sum Squared Residuals4135148.87025712


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1-183.92354455.25224663761037e-09-183.923544505252
2-177.07260917.70918973103107e-09-177.072609107709
3-228.63510911.33968569571152e-08-228.635109113397
4-237.44760912.70995315077016e-09-237.44760910271
5-127.76010911.12092806148212e-08-127.760109111209
6-193.01010913.95957044929673e-09-193.010109103960
7-220.63510913.95951360587787e-09-220.635109103960
8-164.51010912.09183781407773e-10-164.510109100209
9-268.32260915.95935034652939e-09-268.322609105959
10-333.6976091-4.15298018197063e-10-333.697609099585
11-34.260109111.02093764553501e-08-34.2601091202094
12-154.88510911.12094653559325e-08-154.885109111209
13-97.745280534.29619717579044e-09-97.7452805342962
14101.10565496.75311184750171e-09101.105654893247
152.5431548741.24408705559631e-082.54315486155913
16-43.269345131.75317182993240e-09-43.2693451317532
17-163.58184511.02532737855654e-08-163.581845110253
18-162.83184513.00346414405794e-09-162.831845103003
1946.543154873.00328650837400e-0946.5431548669967
2026.66815487-7.46641859450392e-1026.6681548707466
21-107.14434515.00320140872645e-09-107.144345105003
2242.48065487-1.37166722424809e-0942.4806548713717
2376.918154879.25328436096606e-0976.9181548607467
24196.29315491.02533306289843e-08196.293154889747
25201.43298353.34020455738937e-09201.43298349666
2612.283918865.79717074344899e-0912.2839188542028
27-0.2785811371.14848128784928e-08-0.278581148484813
2842.908918867.9708684097568e-1042.9089188592029
2987.596418869.2972527454549e-0987.5964188507027
3084.346418862.04735783881915e-0984.3464188579526
3157.721418862.04725125740879e-0957.7214188579527
32173.8464189-1.70268776855664e-09173.846418901703
33-185.96608114.04719457947067e-09-185.966081104047
3447.65891886-2.32775931863216e-0947.6589188623278
3589.096418868.29723489914613e-0989.0964188517028
36-68.528581149.29729537801904e-09-68.5285811492973
37272.61124752.38418351727887e-09272.611247497616
38146.46218294.84106976728071e-09146.462182895159
39162.89968291.05287654150743e-08162.899682889471
4010.08718285-1.58959068130571e-1010.0871828501590
41279.77468298.34120328363497e-09279.774682891659
42212.52468291.09130837699922e-09212.524682898909
43248.89968291.09136522041808e-09248.899682898909
44-41.97531715-2.65875854665865e-09-41.9753171473412
45-5.7878171493.0910891624103e-09-5.78781715209109
4652.83718285-3.28381588587945e-0952.8371828532838
47274.27468297.34121385903563e-09274.274682892659
48414.64968298.34120328363497e-09414.649682891659
49310.78951141.42807721204008e-09310.789511398572
50362.64044683.88507714887965e-09362.640446796115
5126.077946849.57269108425862e-0926.0779468304273
52403.2654468-1.11504050437361e-09403.265446801115
53327.95294687.38515382181504e-09327.952946792615
54193.70294681.35287336888723e-10193.702946799865
55317.07794681.35230493469862e-10317.077946799865
56202.2029468-3.61475827048707e-09202.202946803615
57321.39044682.13503881241195e-09321.390446797865
58178.0154468-4.23980850428052e-09178.015446804240
5916.452946846.3851324227926e-0916.4529468336149
60-68.172053167.38516803266975e-09-68.1720531673852
61-157.03222464.7202775022015e-10-157.032224600472
62-76.181289172.92894242193142e-09-76.181289172929
63-81.743789178.61660964801558e-09-81.7437891786166
64-134.5562892-2.07108996619354e-09-134.556289197929
6577.131210836.42906172743096e-0977.131210823571
66199.8812108-8.20818968350068e-10199.881210800821
67105.2562108-8.2093265518779e-10105.256210800821
68198.3812108-4.57089299743529e-09198.381210804571
69262.56871081.17898935059202e-09262.568710798821
70196.1937108-5.19594323122874e-09196.193710805196
7111.631210835.42904565747904e-0911.6312108245710
72-145.99378926.42907593828568e-09-145.993789206429
73-166.8539606-4.8402171159978e-10-166.853960599516
74-202.00302521.97292138182092e-09-202.003025201973
7543.434474827.6605530807683e-0943.4344748123394
76-113.3780252-3.0271678497229e-09-113.378025196973
77-113.69052525.47302647646575e-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
81-64.253025182.22939888772089e-10-64.253025180223
82-298.6280252-6.15193584962981e-09-298.628025193848
83-154.19052524.47300863015698e-09-154.190525204473
8423.184474825.47305489817518e-0923.1844748145269
85-249.6756966-1.44015643854800e-09-249.67569659856
86118.17523881.01680086572742e-09118.175238798983
87-180.38726126.70453914608515e-09-180.387261206705
88-79.19976119-3.98320310068812e-09-79.1997611860168
89-81.512261194.51697701464582e-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
95-80.012261193.51695916833705e-09-80.012261193517
96119.36273884.5169628037911e-09119.362738795483
97-53.49743261-2.39613484609436e-09-53.4974326076039
98-114.64649726.08224581810646e-11-114.646497200061
99-155.20899725.74846126255579e-09-155.208997205748
100-50.02149721-4.9392596679354e-09-50.0214972050607
101-196.33399723.56087070940703e-09-196.333997203561
102-14.58399721-3.6890277499424e-09-14.5839972063110
103-82.20899721-3.68912367321172e-09-82.2089972063109
10417.91600279-7.4390555937498e-0917.9160027974391
105-162.8964972-1.6891874565772e-09-162.896497198311
106-132.2714972-8.06412003839796e-09-132.271497191936
107-16.833997212.56090260108977e-09-16.8339972125609
10881.541002793.56092755282589e-0981.541002786439
109275.6808314-3.35222694047843e-09275.680831403352
110-32.46823322-8.95269636203011e-10-32.4682332191047
11117.969266784.79240114259483e-0917.9692667752076
11227.15676678-5.8953482096058e-0927.1567667858953
113-123.15573322.60477861502295e-09-123.155733202605
114108.5942668-4.64507365904865e-09108.594266804645
11567.96926678-4.6452157675958e-0967.9692667846452
11634.09426678-8.39513347727916e-0934.0942667883951
117-13.71823322-2.64524757653817e-09-13.7182332173548
118-113.0932332-9.0201837110726e-09-113.093233190980
11954.344266781.60481050670569e-0954.3442667783952
120149.71926682.60487809100596e-09149.719266797395
121153.8590954-4.30827640229836e-09153.859095404308
122-28.28996923-1.85130843988190e-09-28.2899692281487
123238.14753083.83636233891593e-09238.147530796164
12450.33503077-6.85140122413941e-0950.3350307768514
1258.0225307711.64876645669665e-098.02253076935123
126-61.22746923-5.60113022629594e-09-61.2274692243989
127-140.8524692-5.6012368077063e-09-140.852469194399
128-28.72746923-9.3511651755307e-09-28.7274692206488
1299.460030771-3.60132013099701e-099.46003077460132
130-121.9149692-9.97621896203782e-09-121.914969190024
13141.522530776.48739728603687e-1041.5225307693513
132115.89753081.64880020747660e-09115.897530798351
13327.03735936-5.26435073311404e-0927.0373593652644
134-91.11170524-2.80742540326173e-09-91.1117052371926
1353.3257947592.8802675799966e-093.32579475611973
136-29.48670524-7.80743647510462e-09-29.4867052321926
137-73.799205246.92722323947237e-10-73.7992052406927
13850.95079476-6.55720100439794e-0950.9507947665572
139-86.67420524-6.55731469123566e-09-86.6742052334427
140-9.54920524-1.03072270718485e-08-9.54920522969277
141-66.36170524-4.55736426374642e-09-66.3617052354426
14273.26329476-1.09323678998408e-0873.2632947709324
143-216.2992052-3.07267100652098e-10-216.299205199693
144-128.92420526.92722323947237e-10-128.924205200693
145-142.7843767-6.22037532593822e-09-142.784376693780
14627.06655875-3.76343223251752e-0927.0665587537634
14760.504058751.92419946642985e-0960.5040587480758
14835.69155875-8.76353567491606e-0935.6915587587635
14916.37905875-2.63348454154766e-1016.3790587502633
150-64.87094125-7.51326467707258e-09-64.8709412424867
151115.5040587-7.51336415305559e-09115.504058707513
152-30.37094125-1.12632818627389e-08-30.3709412387367
15387.81655875-5.51339951471164e-0987.8165587555134
154205.4415587-1.18883463073871e-08205.441558711888
155-64.12094125-1.26334498418146e-09-64.1209412487367
156-322.7459413-2.63298716163263e-10-322.745941299737
157-139.6061127-7.17642478775815e-09-139.606112692824
15835.24482274-4.7194887997648e-0935.2448227447195
159-4.3176772639.68151780966764e-10-4.31767726396815
16017.86982274-9.71957447859495e-0917.8698227497196
1612.557322737-1.21941035047257e-092.55732273821941
162129.3073227-8.4692999280378e-09129.307322708469
163-16.31767726-8.46943137844391e-09-16.3176772515306
164164.8073227-1.22193455354136e-08164.807322712219
16521.99482274-6.46948805638203e-0921.9948227464695
166138.6198227-1.28443673474976e-08138.619822712844
16787.05732274-2.21940865685610e-0987.0573227422194
16851.43232274-1.21939081054734e-0951.4323227412194
169-80.42784867-8.1324884604328e-09-80.4278486618675
170-105.1918797-4.98685892580397e-09-105.191879695013
1715.2456203287.00855373736431e-105.24562032729914
17268.43312033-9.98689131392894e-0968.4331203399869
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
177102.5581203-6.7368404188528e-09102.558120306737
17823.18312033-1.31117090518273e-0823.1831203431117
179-180.3793797-2.48667220148491e-09-180.379379697513
180-267.0043797-1.48662593346671e-09-267.004379698513
18130.13544892-8.39983016476253e-0930.1354489283998
18223.98638432-5.94286575505976e-0923.9863843259429
18390.42388432-2.55241161539743e-1090.4238843202552
18431.61138432-1.09429336703215e-0831.6113843309429
18581.29888432-2.44281750383379e-0981.2988843224428
18625.04888432-9.69269819961482e-0925.0488843296927
187-13.57611568-9.69279057017047e-09-13.5761156703072
18833.54888432-1.34427153852812e-0833.5488843334427
189140.7363843-7.69284724810859e-09140.736384307693
190132.3613843-1.40677229865105e-08132.361384314068
19194.79888432-3.44282113928784e-0994.7988843234428
1924.173884316-2.44274023231128e-094.17388431844274