Model 1: Estymacja KMNK, wykorzystane obserwacje 1960:01-1962:09 (N = 33) |
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Zmienna zależna (Y): Pt |
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Do podpunktu a |
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współczynnik błąd standardowy t-Studenta wartość p |
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const 57,7598 1,30988 44,10 1,55e-029 *** |
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time 2,27194 0,0672247 33,80 5,00e-026 *** |
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Średn.aryt.zm.zależnej 96,38273 Odch.stand.zm.zależnej 22,26473 |
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Suma kwadratów reszt 419,1614 Błąd standardowy reszt 3,677137 |
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3,677137 |
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Wsp. determ. R-kwadrat 0,973576 Skorygowany R-kwadrat 0,972724 |
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F(1, 31) 1142,182 Wartość p dla testu F 5,00e-26 |
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Logarytm wiarygodności -88,76382 Kryt. inform. Akaike'a 181,5276 |
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Kryt. bayes. Schwarza 184,5207 Kryt. Hannana-Quinna 182,5347 |
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Autokorel.reszt - rho1 0,093765 Stat. Durbina-Watsona 1,488040 |
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Model 2: Estymacja KMNK, wykorzystane obserwacje 1960:01-1962:09 (N = 33) |
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Zmienna zależna (Y): Pt |
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F= |
1,02286588797418 |
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F*= |
1,83469408058849 |
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Wniosel: trend liniowy, czyli 1 |
współczynnik błąd standardowy t-Studenta wartość p |
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--------------------------------------------------------------- |
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const 55,7335 2,01992 27,59 7,07e-023 *** |
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time 2,61930 0,273910 9,563 1,28e-010 *** |
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sq_time -0,0102165 0,00781539 -1,307 0,2011 |
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Średn.aryt.zm.zależnej 96,38273 Odch.stand.zm.zależnej 22,26473 |
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Suma kwadratów reszt 396,5722 Błąd standardowy reszt 3,635804 |
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3,635804 |
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Wsp. determ. R-kwadrat 0,975000 Skorygowany R-kwadrat 0,973333 |
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F(2, 30) 585,0035 Wartość p dla testu F 9,31e-25 |
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Logarytm wiarygodności -87,84976 Kryt. inform. Akaike'a 181,6995 |
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Kryt. bayes. Schwarza 186,1890 Kryt. Hannana-Quinna 183,2101 |
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Autokorel.reszt - rho1 0,104823 Stat. Durbina-Watsona 1,549921 |
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Do podpunktu b: |
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Miary dokładności prognoz ex post |
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Średni błąd predykcji ME = -0,44429 |
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Błąd średniokwadratowy MSE = 23,661 |
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Pierwiastek błędu średniokwadr. RMSE = 4,8642 |
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Średni błąd absolutny MAE = 4,0112 |
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Średni błąd procentowy MPE = -0,49995 |
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Średni absolutny błąd procentowy MAPE = 2,9616 |
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Współczynnik Theila (w procentach) I = 0,44456 |
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Udział obciążoności predykc. I1^2/I^2 = 0,0083425 |
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Udział niedost.elastyczności I2^2/I^2 = 0,99015 |
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Udział niezgodności kierunku I3^2/I^2 = 0,0015027 |
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Prognozy przedzialowe |
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okres |
Pt |
Prognoza |
VT |
VT* |
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dolna granica |
górma granica |
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1962:10:00 |
128,5 |
135,01 |
3,903 |
2,89089697059477 |
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-127,04 |
142,97 |
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1962:11:00 |
137,1 |
137,28 |
3,924 |
2,85839160839161 |
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-129,28 |
145,28 |
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1962:12:00 |
144,9 |
139,55 |
3,945 |
2,82694374776066 |
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-131,5 |
147,6 |
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Do podpunktu c |
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dT |
dT* |
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-6,50999999999999 |
5,06614785992217 |
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-0,180000000000007 |
0,131291028446394 |
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5,34999999999999 |
3,69220151828847 |
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Do podpunktu d |
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Prognozy przedzialowe |
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dolna granica |
górma granica |
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-127,04 |
142,97 |
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-129,28 |
145,28 |
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-131,5 |
147,6 |
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