Multiple Linear Regression - Estimated Regression Equation |
PS[t] = + 3.77763738061614 -0.0133949634614039L[t] + 1.37031210793507e-06Wb[t] + 2.96123778267419e-07Wbr[t] -0.00500701775504269Tg[t] + 0.900361471653855P[t] + 0.360021324193483S[t] -1.73845778307009D[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) | 3.77763738061614 | 0.413268 | 9.1409 | 0 | 0 |
L | -0.0133949634614039 | 0.014311 | -0.936 | 0.355869 | 0.177935 |
Wb | 1.37031210793507e-06 | 2e-06 | 0.7483 | 0.459434 | 0.229717 |
Wbr | 2.96123778267419e-07 | 1e-06 | 0.2694 | 0.789227 | 0.394614 |
Tg | -0.00500701775504269 | 0.002158 | -2.3197 | 0.026497 | 0.013248 |
P | 0.900361471653855 | 0.337906 | 2.6645 | 0.011704 | 0.005852 |
S | 0.360021324193483 | 0.211701 | 1.7006 | 0.098147 | 0.049074 |
D | -1.73845778307009 | 0.419569 | -4.1434 | 0.000214 | 0.000107 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.787651358957768 |
R-squared | 0.620394663268018 |
Adjusted R-squared | 0.54224062335261 |
F-TEST (value) | 7.9381010110228 |
F-TEST (DF numerator) | 7 |
F-TEST (DF denominator) | 34 |
p-value | 1.06575639513551e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.939636820152983 |
Sum Squared Residuals | 30.0191900287651 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 1.3561224183173 | 0.643877581682701 |
2 | 1.8 | 2.12960841655679 | -0.329608416556788 |
3 | 0.7 | 0.670021233297254 | 0.0299787667027454 |
4 | 3.9 | 2.86993282051218 | 1.03006717948782 |
5 | 1 | 0.124695762512002 | 0.875304237487998 |
6 | 3.6 | 2.9811854207797 | 0.618814579220295 |
7 | 1.4 | 1.67997007865093 | -0.27997007865093 |
8 | 1.5 | 2.11362574541116 | -0.613625745411159 |
9 | 0.7 | 0.340897039890185 | 0.359102960109815 |
10 | 2.1 | 3.0428433975087 | -0.942843397508697 |
11 | 0 | 2.02305676673973 | -2.02305676673973 |
12 | 4.1 | 2.53293500791908 | 1.56706499208092 |
13 | 1.2 | 2.08309233687984 | -0.883092336879835 |
14 | 0.5 | 0.450281614934215 | 0.0497183850657847 |
15 | 3.4 | 3.22993547328207 | 0.170064526717932 |
16 | 1.5 | 2.13095279291095 | -0.630952792910953 |
17 | 3.4 | 3.16466444221077 | 0.235335557789233 |
18 | 0.8 | 1.96645245490865 | -1.16645245490865 |
19 | 0.8 | -0.00337015741722158 | 0.803370157417222 |
20 | 1.4 | 1.90322677714845 | -0.503226777148446 |
21 | 2 | 2.72782011663321 | -0.727820116633206 |
22 | 1.9 | 1.09903504466156 | 0.800964955338435 |
23 | 1.3 | 2.38588398848225 | -1.08588398848226 |
24 | 2 | 2.34689427846869 | -0.346894278468691 |
25 | 5.6 | 4.07705994506629 | 1.52294005493371 |
26 | 3.1 | 3.52000870112606 | -0.420008701126056 |
27 | 1.8 | 1.96501302730277 | -0.165013027302766 |
28 | 0.9 | 0.791323507027616 | 0.108676492972385 |
29 | 1.8 | 2.20780797183028 | -0.407807971830278 |
30 | 1.9 | 1.24426858124898 | 0.65573141875102 |
31 | 0.9 | 0.997944429777653 | -0.097944429777653 |
32 | 2.6 | 1.45621239200535 | 1.14378760799465 |
33 | 2.4 | 2.92865473841119 | -0.528654738411193 |
34 | 1.2 | 2.03422815680023 | -0.83422815680023 |
35 | 0.9 | 1.60581372360984 | -0.705813723609844 |
36 | 0.5 | 0.787594042033552 | -0.287594042033552 |
37 | 0.6 | 0.491177477450044 | 0.108822522549956 |
38 | 2.3 | 2.10277088381891 | 0.19722911618109 |
39 | 0.5 | 0.527886940280408 | -0.0278869402804076 |
40 | 2.6 | 3.46160046703619 | -0.861600467036191 |
41 | 0.6 | 0.155280042770744 | 0.444719957229256 |
42 | 6.6 | 4.09559170120545 | 2.50440829879455 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
11 | 0.867792319701568 | 0.264415360596863 | 0.132207680298432 |
12 | 0.874354116020561 | 0.251291767958878 | 0.125645883979439 |
13 | 0.913669484051028 | 0.172661031897945 | 0.0863305159489724 |
14 | 0.851153651604207 | 0.297692696791587 | 0.148846348395793 |
15 | 0.78635314205445 | 0.427293715891101 | 0.213646857945551 |
16 | 0.71159120203052 | 0.57681759593896 | 0.28840879796948 |
17 | 0.640943346499544 | 0.718113307000912 | 0.359056653500456 |
18 | 0.647327813597236 | 0.705344372805528 | 0.352672186402764 |
19 | 0.573130128334434 | 0.853739743331132 | 0.426869871665566 |
20 | 0.49102338337574 | 0.98204676675148 | 0.50897661662426 |
21 | 0.422814367987739 | 0.845628735975478 | 0.577185632012261 |
22 | 0.438615803212461 | 0.877231606424922 | 0.561384196787539 |
23 | 0.509296993154059 | 0.981406013691882 | 0.490703006845941 |
24 | 0.563843008462008 | 0.872313983075985 | 0.436156991537993 |
25 | 0.638903524800384 | 0.722192950399231 | 0.361096475199616 |
26 | 0.592490286809026 | 0.815019426381948 | 0.407509713190974 |
27 | 0.481925069706886 | 0.963850139413772 | 0.518074930293114 |
28 | 0.367235106157113 | 0.734470212314227 | 0.632764893842887 |
29 | 0.314846356572055 | 0.629692713144111 | 0.685153643427945 |
30 | 0.346589670255331 | 0.693179340510661 | 0.65341032974467 |
31 | 0.224940433304569 | 0.449880866609139 | 0.775059566695431 |
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 | 0 | 0 | OK |
10% type I error level | 0 | 0 | OK |