Multiple Linear Regression - Estimated Regression Equation |
Consumptieindexkleding[t] = + 104.357875 -0.056062499999947M1[t] -0.118550000000010M2[t] -0.0470375000000067M3[t] -0.00352500000000532M4[t] + 0.0199874999999952M5[t] + 0.0794999999999971M6[t] + 0.0750124999999966M7[t] + 0.314524999999998M8[t] + 0.3339625M9[t] + 0.358474999999993M10[t] + 0.272987499999995M11[t] -0.0795125000000005t + 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) | 104.357875 | 0.13855 | 753.2161 | 0 | 0 |
M1 | -0.056062499999947 | 0.16658 | -0.3365 | 0.738093 | 0.369047 |
M2 | -0.118550000000010 | 0.166465 | -0.7122 | 0.480211 | 0.240105 |
M3 | -0.0470375000000067 | 0.166375 | -0.2827 | 0.778748 | 0.389374 |
M4 | -0.00352500000000532 | 0.166311 | -0.0212 | 0.983188 | 0.491594 |
M5 | 0.0199874999999952 | 0.166272 | 0.1202 | 0.904877 | 0.452439 |
M6 | 0.0794999999999971 | 0.16626 | 0.4782 | 0.634953 | 0.317477 |
M7 | 0.0750124999999966 | 0.166272 | 0.4511 | 0.654154 | 0.327077 |
M8 | 0.314524999999998 | 0.166311 | 1.8912 | 0.065348 | 0.032674 |
M9 | 0.3339625 | 0.175363 | 1.9044 | 0.063561 | 0.03178 |
M10 | 0.358474999999993 | 0.175302 | 2.0449 | 0.047016 | 0.023508 |
M11 | 0.272987499999995 | 0.175265 | 1.5576 | 0.126666 | 0.063333 |
t | -0.0795125000000005 | 0.002065 | -38.4978 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.986049960445294 |
R-squared | 0.972294524494165 |
Adjusted R-squared | 0.964562763887886 |
F-TEST (value) | 125.753314672534 |
F-TEST (DF numerator) | 12 |
F-TEST (DF denominator) | 43 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.247845260708805 |
Sum Squared Residuals | 2.64137275000006 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 104.31 | 104.222300000000 | 0.087700000000231 |
2 | 103.88 | 104.0803 | -0.200300000000016 |
3 | 103.88 | 104.0723 | -0.192300000000015 |
4 | 103.86 | 104.0363 | -0.176300000000014 |
5 | 103.89 | 103.9803 | -0.0903000000000112 |
6 | 103.98 | 103.9603 | 0.0196999999999912 |
7 | 103.98 | 103.8763 | 0.103699999999991 |
8 | 104.29 | 104.0363 | 0.253699999999995 |
9 | 104.29 | 103.976225 | 0.313774999999992 |
10 | 104.24 | 103.921225 | 0.318774999999987 |
11 | 103.98 | 103.756225 | 0.223774999999996 |
12 | 103.54 | 103.403725 | 0.136274999999993 |
13 | 103.44 | 103.26815 | 0.171849999999933 |
14 | 103.32 | 103.12615 | 0.19384999999999 |
15 | 103.3 | 103.11815 | 0.181849999999992 |
16 | 103.26 | 103.08215 | 0.177849999999999 |
17 | 103.14 | 103.02615 | 0.113849999999994 |
18 | 103.11 | 103.00615 | 0.103849999999992 |
19 | 102.91 | 102.92215 | -0.0121500000000104 |
20 | 103.23 | 103.08215 | 0.147849999999997 |
21 | 103.23 | 103.022075 | 0.207924999999996 |
22 | 103.14 | 102.967075 | 0.172924999999999 |
23 | 102.91 | 102.802075 | 0.107924999999994 |
24 | 102.42 | 102.449575 | -0.0295750000000053 |
25 | 102.1 | 102.314 | -0.214000000000064 |
26 | 102.07 | 102.172 | -0.102000000000004 |
27 | 102.06 | 102.164 | -0.103999999999997 |
28 | 101.98 | 102.128 | -0.147999999999996 |
29 | 101.83 | 102.072 | -0.242000000000002 |
30 | 101.75 | 102.052 | -0.302000000000001 |
31 | 101.56 | 101.968 | -0.407999999999999 |
32 | 101.66 | 102.128 | -0.468000000000004 |
33 | 101.65 | 102.067925 | -0.417924999999997 |
34 | 101.61 | 102.012925 | -0.402924999999996 |
35 | 101.52 | 101.847925 | -0.327925 |
36 | 101.31 | 101.495425 | -0.185424999999998 |
37 | 101.19 | 101.35985 | -0.169850000000055 |
38 | 101.11 | 101.21785 | -0.107849999999991 |
39 | 101.1 | 101.20985 | -0.109849999999998 |
40 | 101.07 | 101.17385 | -0.103850000000001 |
41 | 100.98 | 101.11785 | -0.137849999999990 |
42 | 100.93 | 101.09785 | -0.167849999999988 |
43 | 100.92 | 101.01385 | -0.0938499999999917 |
44 | 101.02 | 101.17385 | -0.153849999999998 |
45 | 101.01 | 101.113775 | -0.103774999999991 |
46 | 100.97 | 101.058775 | -0.0887749999999898 |
47 | 100.89 | 100.893775 | -0.00377499999998974 |
48 | 100.62 | 100.541275 | 0.0787250000000105 |
49 | 100.53 | 100.4057 | 0.124299999999956 |
50 | 100.48 | 100.2637 | 0.21630000000002 |
51 | 100.48 | 100.2557 | 0.224300000000018 |
52 | 100.47 | 100.2197 | 0.250300000000012 |
53 | 100.52 | 100.1637 | 0.356300000000008 |
54 | 100.49 | 100.1437 | 0.346300000000006 |
55 | 100.47 | 100.0597 | 0.41030000000001 |
56 | 100.44 | 100.2197 | 0.220300000000010 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
16 | 0.0833942631665738 | 0.166788526333148 | 0.916605736833426 |
17 | 0.0347750947356403 | 0.0695501894712807 | 0.96522490526436 |
18 | 0.0276039668868887 | 0.0552079337737773 | 0.972396033113111 |
19 | 0.0630884924188067 | 0.126176984837613 | 0.936911507581193 |
20 | 0.0949486336142553 | 0.189897267228511 | 0.905051366385745 |
21 | 0.171652064259874 | 0.343304128519748 | 0.828347935740126 |
22 | 0.389423536251259 | 0.778847072502519 | 0.610576463748741 |
23 | 0.701642457825575 | 0.59671508434885 | 0.298357542174425 |
24 | 0.869114703340504 | 0.261770593318992 | 0.130885296659496 |
25 | 0.956022197939916 | 0.0879556041201687 | 0.0439778020600844 |
26 | 0.972703662134383 | 0.0545926757312344 | 0.0272963378656172 |
27 | 0.991410777207308 | 0.0171784455853851 | 0.00858922279269253 |
28 | 0.99859631215933 | 0.00280737568133983 | 0.00140368784066992 |
29 | 0.999400210295779 | 0.00119957940844246 | 0.000599789704221229 |
30 | 0.999796682979518 | 0.00040663404096423 | 0.000203317020482115 |
31 | 0.999729767633797 | 0.000540464732406634 | 0.000270232366203317 |
32 | 0.999814051014233 | 0.000371897971534701 | 0.000185948985767351 |
33 | 0.999780216036565 | 0.000439567926870391 | 0.000219783963435195 |
34 | 0.999618889785667 | 0.000762220428665726 | 0.000381110214332863 |
35 | 0.99899755377956 | 0.0020048924408814 | 0.0010024462204407 |
36 | 0.998455879536892 | 0.00308824092621626 | 0.00154412046310813 |
37 | 0.997367983720445 | 0.00526403255910985 | 0.00263201627955493 |
38 | 0.994931289554443 | 0.0101374208911137 | 0.00506871044555685 |
39 | 0.990931302763904 | 0.0181373944721913 | 0.00906869723609567 |
40 | 0.985140501402309 | 0.0297189971953829 | 0.0148594985976914 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 10 | 0.4 | NOK |
5% type I error level | 14 | 0.56 | NOK |
10% type I error level | 18 | 0.72 | NOK |