Multiple Linear Regression - Estimated Regression Equation |
Dollar[t] = + 1.3615 + 0.00849999999999968M1[t] + 0.000499999999999861M2[t] + 0.0254999999999998M3[t] + 0.0374999999999998M4[t] + 0.0168999999999998M5[t] + 0.0124999999999998M6[t] + 0.0220999999999998M7[t] + 0.0160999999999998M8[t] + 0.0110999999999998M9[t] + 0.0128999999999998M10[t] -0.00770000000000014M11[t] + 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) | 1.3615 | 0.050426 | 27 | 0 | 0 |
M1 | 0.00849999999999968 | 0.067653 | 0.1256 | 0.900552 | 0.450276 |
M2 | 0.000499999999999861 | 0.067653 | 0.0074 | 0.994134 | 0.497067 |
M3 | 0.0254999999999998 | 0.067653 | 0.3769 | 0.707928 | 0.353964 |
M4 | 0.0374999999999998 | 0.067653 | 0.5543 | 0.582004 | 0.291002 |
M5 | 0.0168999999999998 | 0.067653 | 0.2498 | 0.803828 | 0.401914 |
M6 | 0.0124999999999998 | 0.067653 | 0.1848 | 0.854208 | 0.427104 |
M7 | 0.0220999999999998 | 0.067653 | 0.3267 | 0.745371 | 0.372686 |
M8 | 0.0160999999999998 | 0.067653 | 0.238 | 0.812933 | 0.406466 |
M9 | 0.0110999999999998 | 0.067653 | 0.1641 | 0.870378 | 0.435189 |
M10 | 0.0128999999999998 | 0.067653 | 0.1907 | 0.849599 | 0.4248 |
M11 | -0.00770000000000014 | 0.067653 | -0.1138 | 0.909869 | 0.454934 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.128596492431053 |
R-squared | 0.01653705786557 |
Adjusted R-squared | -0.213635120080786 |
F-TEST (value) | 0.0718464673407405 |
F-TEST (DF numerator) | 11 |
F-TEST (DF denominator) | 47 |
p-value | 0.999977091596499 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.100851671153571 |
Sum Squared Residuals | 0.4780398 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 1.472 | 1.37 | 0.101999999999999 |
2 | 1.475 | 1.362 | 0.113 |
3 | 1.553 | 1.387 | 0.166 |
4 | 1.575 | 1.399 | 0.176 |
5 | 1.556 | 1.3784 | 0.1776 |
6 | 1.555 | 1.374 | 0.181 |
7 | 1.577 | 1.3836 | 0.1934 |
8 | 1.498 | 1.3776 | 0.1204 |
9 | 1.437 | 1.3726 | 0.0644000000000001 |
10 | 1.332 | 1.3744 | -0.0423999999999999 |
11 | 1.273 | 1.3538 | -0.0808000000000001 |
12 | 1.345 | 1.3615 | -0.0165000000000001 |
13 | 1.324 | 1.37 | -0.0459999999999998 |
14 | 1.279 | 1.362 | -0.0830000000000001 |
15 | 1.305 | 1.387 | -0.082 |
16 | 1.319 | 1.399 | -0.08 |
17 | 1.365 | 1.3784 | -0.0134 |
18 | 1.402 | 1.374 | 0.0279999999999999 |
19 | 1.409 | 1.3836 | 0.0254000000000001 |
20 | 1.427 | 1.3776 | 0.0494000000000001 |
21 | 1.456 | 1.3726 | 0.0834 |
22 | 1.482 | 1.3744 | 0.1076 |
23 | 1.491 | 1.3538 | 0.1372 |
24 | 1.461 | 1.3615 | 0.0994999999999999 |
25 | 1.427 | 1.37 | 0.0570000000000002 |
26 | 1.369 | 1.362 | 0.00699999999999999 |
27 | 1.357 | 1.387 | -0.03 |
28 | 1.341 | 1.399 | -0.058 |
29 | 1.257 | 1.3784 | -0.1214 |
30 | 1.221 | 1.374 | -0.153 |
31 | 1.277 | 1.3836 | -0.1066 |
32 | 1.289 | 1.3776 | -0.0886000000000001 |
33 | 1.307 | 1.3726 | -0.0656 |
34 | 1.39 | 1.3744 | 0.0155999999999999 |
35 | 1.366 | 1.3538 | 0.0122000000000001 |
36 | 1.322 | 1.3615 | -0.0395000000000001 |
37 | 1.336 | 1.37 | -0.0339999999999997 |
38 | 1.365 | 1.362 | 0.00299999999999999 |
39 | 1.4 | 1.387 | 0.0129999999999999 |
40 | 1.444 | 1.399 | 0.045 |
41 | 1.435 | 1.3784 | 0.0566000000000001 |
42 | 1.439 | 1.374 | 0.0650000000000001 |
43 | 1.426 | 1.3836 | 0.0424 |
44 | 1.434 | 1.3776 | 0.0564 |
45 | 1.377 | 1.3726 | 0.00440000000000004 |
46 | 1.371 | 1.3744 | -0.00339999999999993 |
47 | 1.356 | 1.3538 | 0.00220000000000009 |
48 | 1.318 | 1.3615 | -0.0435000000000001 |
49 | 1.291 | 1.37 | -0.0789999999999999 |
50 | 1.322 | 1.362 | -0.04 |
51 | 1.32 | 1.387 | -0.0669999999999999 |
52 | 1.316 | 1.399 | -0.0829999999999999 |
53 | 1.279 | 1.3784 | -0.0994000000000001 |
54 | 1.253 | 1.374 | -0.121 |
55 | 1.229 | 1.3836 | -0.1546 |
56 | 1.24 | 1.3776 | -0.1376 |
57 | 1.286 | 1.3726 | -0.0866 |
58 | 1.297 | 1.3744 | -0.0774 |
59 | 1.283 | 1.3538 | -0.0708000000000001 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
15 | 0.960599341492611 | 0.0788013170147775 | 0.0394006585073888 |
16 | 0.982396130507237 | 0.0352077389855255 | 0.0176038694927627 |
17 | 0.982295339742124 | 0.0354093205157521 | 0.0177046602578761 |
18 | 0.979674084752185 | 0.0406518304956308 | 0.0203259152478154 |
19 | 0.979055357019373 | 0.0418892859612544 | 0.0209446429806272 |
20 | 0.969924991842945 | 0.0601500163141106 | 0.0300750081570553 |
21 | 0.960899615210994 | 0.0782007695780121 | 0.0391003847890061 |
22 | 0.964731876455457 | 0.0705362470890868 | 0.0352681235445434 |
23 | 0.982188408669513 | 0.035623182660974 | 0.017811591330487 |
24 | 0.98353508292603 | 0.0329298341479406 | 0.0164649170739703 |
25 | 0.979125662618361 | 0.0417486747632775 | 0.0208743373816387 |
26 | 0.963817907194516 | 0.0723641856109673 | 0.0361820928054837 |
27 | 0.943962789413326 | 0.112074421173349 | 0.0560372105866743 |
28 | 0.925272829344044 | 0.149454341311912 | 0.0747271706559561 |
29 | 0.943530812770489 | 0.112938374459023 | 0.0564691872295115 |
30 | 0.971013609520657 | 0.0579727809586853 | 0.0289863904793426 |
31 | 0.970662254173476 | 0.0586754916530484 | 0.0293377458265242 |
32 | 0.963207944708578 | 0.0735841105828435 | 0.0367920552914218 |
33 | 0.946603102002686 | 0.106793795994627 | 0.0533968979973136 |
34 | 0.918091529346927 | 0.163816941306146 | 0.0819084706530729 |
35 | 0.875919060935303 | 0.248161878129393 | 0.124080939064697 |
36 | 0.817625023445511 | 0.364749953108978 | 0.182374976554489 |
37 | 0.747919320364108 | 0.504161359271783 | 0.252080679635892 |
38 | 0.655656762117374 | 0.688686475765253 | 0.344343237882626 |
39 | 0.566912991178248 | 0.866174017643503 | 0.433087008821752 |
40 | 0.512471357509572 | 0.975057284980857 | 0.487528642490428 |
41 | 0.492609846717375 | 0.985219693434751 | 0.507390153282625 |
42 | 0.533509983326878 | 0.932980033346245 | 0.466490016673122 |
43 | 0.636284225376526 | 0.727431549246948 | 0.363715774623474 |
44 | 0.827291895764986 | 0.345416208470028 | 0.172708104235014 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 7 | 0.233333333333333 | NOK |
10% type I error level | 15 | 0.5 | NOK |