Multiple Linear Regression - Estimated Regression Equation |
Cons[t] = + 117.858505494505 -0.186593406593400Reg[t] -1.44680586080592M1[t] -7.31321611721613M2[t] -6.4396263736264M3[t] -14.7660366300366M4[t] -16.3524468864469M5[t] -1.91885714285715M6[t] -15.3252673992674M7[t] -15.3916776556777M8[t] -3.93808791208793M9[t] -20.5644981684982M10[t] -16.7109084249084M11[t] + 0.226410256410256t + 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) | 117.858505494505 | 2.650881 | 44.4601 | 0 | 0 |
Reg | -0.186593406593400 | 2.589051 | -0.0721 | 0.942858 | 0.471429 |
M1 | -1.44680586080592 | 3.221007 | -0.4492 | 0.655412 | 0.327706 |
M2 | -7.31321611721613 | 3.213411 | -2.2758 | 0.027559 | 0.013779 |
M3 | -6.4396263736264 | 3.20749 | -2.0077 | 0.050572 | 0.025286 |
M4 | -14.7660366300366 | 3.203254 | -4.6097 | 3.2e-05 | 1.6e-05 |
M5 | -16.3524468864469 | 3.20071 | -5.109 | 6e-06 | 3e-06 |
M6 | -1.91885714285715 | 3.199862 | -0.5997 | 0.55167 | 0.275835 |
M7 | -15.3252673992674 | 3.20071 | -4.7881 | 1.8e-05 | 9e-06 |
M8 | -15.3916776556777 | 3.203254 | -4.805 | 1.7e-05 | 8e-06 |
M9 | -3.93808791208793 | 3.20749 | -1.2278 | 0.225776 | 0.112888 |
M10 | -20.5644981684982 | 3.213411 | -6.3996 | 0 | 0 |
M11 | -16.7109084249084 | 3.221007 | -5.1881 | 5e-06 | 2e-06 |
t | 0.226410256410256 | 0.073694 | 3.0723 | 0.003563 | 0.001781 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.868945960631488 |
R-squared | 0.75506708249778 |
Adjusted R-squared | 0.685846910160196 |
F-TEST (value) | 10.9081942011839 |
F-TEST (DF numerator) | 13 |
F-TEST (DF denominator) | 46 |
p-value | 4.4846637514695e-10 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 5.04145259252865 |
Sum Squared Residuals | 1169.14723516484 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 117 | 116.63810989011 | 0.361890109889937 |
2 | 103.8 | 110.998109890110 | -7.1981098901099 |
3 | 100.8 | 112.098109890110 | -11.2981098901099 |
4 | 110.6 | 103.998109890110 | 6.60189010989012 |
5 | 104 | 102.638109890110 | 1.36189010989015 |
6 | 112.6 | 117.298109890110 | -4.69810989010988 |
7 | 107.3 | 104.118109890110 | 3.18189010989011 |
8 | 98.9 | 104.278109890110 | -5.37810989010988 |
9 | 109.8 | 115.958109890110 | -6.1581098901099 |
10 | 104.9 | 99.5581098901099 | 5.34189010989011 |
11 | 102.2 | 103.638109890110 | -1.43810989010987 |
12 | 123.9 | 120.575428571429 | 3.32457142857144 |
13 | 124.9 | 119.355032967033 | 5.54496703296708 |
14 | 112.7 | 113.715032967033 | -1.01503296703295 |
15 | 121.9 | 114.815032967033 | 7.08496703296705 |
16 | 100.6 | 106.715032967033 | -6.11503296703297 |
17 | 104.3 | 105.355032967033 | -1.05503296703298 |
18 | 120.4 | 120.015032967033 | 0.384967032967043 |
19 | 107.5 | 106.835032967033 | 0.664967032967037 |
20 | 102.9 | 106.995032967033 | -4.09503296703296 |
21 | 125.6 | 118.675032967033 | 6.92496703296703 |
22 | 107.5 | 102.275032967033 | 5.22496703296704 |
23 | 108.8 | 106.355032967033 | 2.44496703296703 |
24 | 128.4 | 123.105758241758 | 5.29424175824176 |
25 | 121.1 | 121.885362637363 | -0.785362637362598 |
26 | 119.5 | 116.245362637363 | 3.25463736263736 |
27 | 128.7 | 117.345362637363 | 11.3546373626373 |
28 | 108.7 | 109.245362637363 | -0.54536263736264 |
29 | 105.5 | 107.885362637363 | -2.38536263736265 |
30 | 119.8 | 122.545362637363 | -2.74536263736264 |
31 | 111.3 | 109.365362637363 | 1.93463736263736 |
32 | 110.6 | 109.525362637363 | 1.07463736263735 |
33 | 120.1 | 121.205362637363 | -1.10536263736264 |
34 | 97.5 | 104.805362637363 | -7.30536263736263 |
35 | 107.7 | 108.885362637363 | -1.18536263736264 |
36 | 127.3 | 125.822681318681 | 1.47731868131867 |
37 | 117.2 | 124.602285714286 | -7.40228571428567 |
38 | 119.8 | 118.962285714286 | 0.837714285714282 |
39 | 116.2 | 120.062285714286 | -3.86228571428571 |
40 | 111 | 111.962285714286 | -0.96228571428572 |
41 | 112.4 | 110.602285714286 | 1.79771428571428 |
42 | 130.6 | 125.262285714286 | 5.33771428571428 |
43 | 109.1 | 112.082285714286 | -2.98228571428572 |
44 | 118.8 | 112.242285714286 | 6.55771428571428 |
45 | 123.9 | 123.922285714286 | -0.0222857142857056 |
46 | 101.6 | 107.522285714286 | -5.92228571428572 |
47 | 112.8 | 111.602285714286 | 1.19771428571428 |
48 | 128 | 128.539604395604 | -0.539604395604401 |
49 | 129.6 | 127.319208791209 | 2.28079120879125 |
50 | 125.8 | 121.679208791209 | 4.1207912087912 |
51 | 119.5 | 122.779208791209 | -3.27920879120879 |
52 | 115.7 | 114.679208791209 | 1.02079120879121 |
53 | 113.6 | 113.319208791209 | 0.280791208791191 |
54 | 129.7 | 127.979208791209 | 1.72079120879120 |
55 | 112 | 114.799208791209 | -2.79920879120879 |
56 | 116.8 | 114.959208791209 | 1.84079120879120 |
57 | 127 | 126.639208791209 | 0.360791208791214 |
58 | 112.9 | 110.239208791209 | 2.66079120879121 |
59 | 113.3 | 114.319208791209 | -1.01920879120880 |
60 | 121.7 | 131.256527472527 | -9.55652747252748 |