Multiple Linear Regression - Estimated Regression Equation |
Bakmeel[t] = + 0.792598684210527 -0.120131578947369Dummy[t] + 0.00148026315789534M1[t] -0.00251973684210528M2[t] -0.00851973684210531M3[t] -0.0125197368421053M4[t] -0.0145197368421053M5[t] + 0.00950657894736838M6[t] -0.00249342105263159M7[t] -0.000493421052631561M8[t] + 0.0125M9[t] + 0.00499999999999997M10[t] + 0.00499999999999997M11[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) | 0.792598684210527 | 0.06424 | 12.3381 | 0 | 0 |
Dummy | -0.120131578947369 | 0.034775 | -3.4545 | 0.001252 | 0.000626 |
M1 | 0.00148026315789534 | 0.078937 | 0.0188 | 0.985125 | 0.492563 |
M2 | -0.00251973684210528 | 0.078937 | -0.0319 | 0.974683 | 0.487341 |
M3 | -0.00851973684210531 | 0.078937 | -0.1079 | 0.914552 | 0.457276 |
M4 | -0.0125197368421053 | 0.078937 | -0.1586 | 0.874723 | 0.437361 |
M5 | -0.0145197368421053 | 0.078937 | -0.1839 | 0.854924 | 0.427462 |
M6 | 0.00950657894736838 | 0.078783 | 0.1207 | 0.904516 | 0.452258 |
M7 | -0.00249342105263159 | 0.078783 | -0.0316 | 0.974898 | 0.487449 |
M8 | -0.000493421052631561 | 0.078783 | -0.0063 | 0.995032 | 0.497516 |
M9 | 0.0125 | 0.083025 | 0.1506 | 0.881029 | 0.440514 |
M10 | 0.00499999999999997 | 0.083025 | 0.0602 | 0.952257 | 0.476128 |
M11 | 0.00499999999999997 | 0.083025 | 0.0602 | 0.952257 | 0.476128 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.470063994309785 |
R-squared | 0.22096015874647 |
Adjusted R-squared | 0.00355369141990347 |
F-TEST (value) | 1.01634584041406 |
F-TEST (DF numerator) | 12 |
F-TEST (DF denominator) | 43 |
p-value | 0.451409060296931 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.117414471853918 |
Sum Squared Residuals | 0.592804802631579 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 0.81 | 0.794078947368419 | 0.0159210526315815 |
2 | 0.81 | 0.79007894736842 | 0.0199210526315791 |
3 | 0.81 | 0.784078947368421 | 0.0259210526315789 |
4 | 0.79 | 0.780078947368421 | 0.00992105263157892 |
5 | 0.78 | 0.778078947368421 | 0.00192105263157879 |
6 | 0.78 | 0.802105263157895 | -0.0221052631578949 |
7 | 0.77 | 0.790105263157895 | -0.0201052631578949 |
8 | 0.78 | 0.792105263157895 | -0.0121052631578949 |
9 | 0.77 | 0.805098684210526 | -0.0350986842105264 |
10 | 0.78 | 0.797598684210526 | -0.0175986842105265 |
11 | 0.79 | 0.797598684210526 | -0.00759868421052643 |
12 | 0.79 | 0.792598684210526 | -0.00259868421052646 |
13 | 0.79 | 0.794078947368422 | -0.00407894736842181 |
14 | 0.79 | 0.790078947368421 | -7.89473684212328e-05 |
15 | 0.79 | 0.784078947368421 | 0.00592105263157885 |
16 | 0.8 | 0.780078947368421 | 0.0199210526315788 |
17 | 0.8 | 0.778078947368421 | 0.0219210526315788 |
18 | 0.8 | 0.681973684210526 | 0.118026315789474 |
19 | 0.8 | 0.669973684210526 | 0.130026315789474 |
20 | 0.81 | 0.671973684210526 | 0.138026315789474 |
21 | 0.8 | 0.684967105263158 | 0.115032894736842 |
22 | 0.82 | 0.677467105263158 | 0.142532894736842 |
23 | 0.85 | 0.677467105263158 | 0.172532894736842 |
24 | 0.85 | 0.672467105263158 | 0.177532894736842 |
25 | 0.86 | 0.673947368421053 | 0.186052631578947 |
26 | 0.85 | 0.669947368421053 | 0.180052631578947 |
27 | 0.83 | 0.663947368421053 | 0.166052631578947 |
28 | 0.81 | 0.659947368421053 | 0.150052631578947 |
29 | 0.82 | 0.657947368421053 | 0.162052631578947 |
30 | 0.82 | 0.681973684210526 | 0.138026315789474 |
31 | 0.78 | 0.669973684210526 | 0.110026315789474 |
32 | 0.78 | 0.671973684210526 | 0.108026315789474 |
33 | 0.73 | 0.684967105263158 | 0.0450328947368421 |
34 | 0.68 | 0.677467105263158 | 0.00253289473684221 |
35 | 0.65 | 0.677467105263158 | -0.0274671052631578 |
36 | 0.62 | 0.672467105263158 | -0.0524671052631579 |
37 | 0.6 | 0.673947368421053 | -0.0739473684210532 |
38 | 0.6 | 0.669947368421053 | -0.0699473684210527 |
39 | 0.59 | 0.663947368421053 | -0.0739473684210526 |
40 | 0.6 | 0.659947368421053 | -0.0599473684210526 |
41 | 0.6 | 0.657947368421053 | -0.0579473684210526 |
42 | 0.6 | 0.681973684210526 | -0.0819736842105263 |
43 | 0.59 | 0.669973684210526 | -0.0799736842105263 |
44 | 0.58 | 0.671973684210526 | -0.0919736842105263 |
45 | 0.56 | 0.684967105263158 | -0.124967105263158 |
46 | 0.55 | 0.677467105263158 | -0.127467105263158 |
47 | 0.54 | 0.677467105263158 | -0.137467105263158 |
48 | 0.55 | 0.672467105263158 | -0.122467105263158 |
49 | 0.55 | 0.673947368421053 | -0.123947368421053 |
50 | 0.54 | 0.669947368421053 | -0.129947368421053 |
51 | 0.54 | 0.663947368421053 | -0.123947368421053 |
52 | 0.54 | 0.659947368421053 | -0.119947368421053 |
53 | 0.53 | 0.657947368421053 | -0.127947368421053 |
54 | 0.53 | 0.681973684210526 | -0.151973684210526 |
55 | 0.53 | 0.669973684210526 | -0.139973684210526 |
56 | 0.53 | 0.671973684210526 | -0.141973684210526 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
16 | 0.00140224242698842 | 0.00280448485397684 | 0.998597757573012 |
17 | 0.000188704121732213 | 0.000377408243464425 | 0.999811295878268 |
18 | 1.62622317284713e-05 | 3.25244634569426e-05 | 0.999983737768272 |
19 | 1.45305969378616e-06 | 2.90611938757232e-06 | 0.999998546940306 |
20 | 1.21474128230855e-07 | 2.42948256461709e-07 | 0.999999878525872 |
21 | 9.13303601456206e-09 | 1.82660720291241e-08 | 0.999999990866964 |
22 | 9.79455948947691e-10 | 1.95891189789538e-09 | 0.999999999020544 |
23 | 4.9613264402823e-10 | 9.9226528805646e-10 | 0.999999999503867 |
24 | 1.75568871353511e-10 | 3.51137742707022e-10 | 0.999999999824431 |
25 | 7.84487934192638e-11 | 1.56897586838528e-10 | 0.99999999992155 |
26 | 2.16465228817821e-11 | 4.32930457635642e-11 | 0.999999999978354 |
27 | 9.08160565619374e-12 | 1.81632113123875e-11 | 0.999999999990918 |
28 | 1.21045010754585e-11 | 2.42090021509171e-11 | 0.999999999987895 |
29 | 9.59471631917635e-12 | 1.91894326383527e-11 | 0.999999999990405 |
30 | 1.99716890729718e-11 | 3.99433781459437e-11 | 0.999999999980028 |
31 | 1.50549144252779e-10 | 3.01098288505559e-10 | 0.99999999984945 |
32 | 2.01542308840681e-08 | 4.03084617681361e-08 | 0.99999997984577 |
33 | 2.42439442809682e-05 | 4.84878885619364e-05 | 0.999975756055719 |
34 | 0.0274090668509318 | 0.0548181337018637 | 0.972590933149068 |
35 | 0.398001996083638 | 0.796003992167277 | 0.601998003916361 |
36 | 0.70136059508174 | 0.597278809836521 | 0.298639404918261 |
37 | 0.816704384460097 | 0.366591231079805 | 0.183295615539903 |
38 | 0.848664894796601 | 0.302670210406798 | 0.151335105203399 |
39 | 0.828102095440234 | 0.343795809119533 | 0.171897904559766 |
40 | 0.777882530530691 | 0.444234938938618 | 0.222117469469309 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 18 | 0.72 | NOK |
5% type I error level | 18 | 0.72 | NOK |
10% type I error level | 19 | 0.76 | NOK |