the english translation is written below

6 (I den hr uppgiften mste du visa hur du rknar och redogra fr hur du tnker fr att f full pong) En dekompositionsmodell har passats till en serie kvartalsvisa frsljningsdata. Trendkomponenten har skattats till T. = 1234 0.029t, dar t = 0 ska tolkas som Q4 2011, och ssongsindex har skattats till 0.80, 0.95, 1.20 och 1.05 for Q1, Q2, Q3 respektive 04. (A decomposition model has been fit to a series of quarterly sales data. The trend component has been estimated as f. = 1234e0.029, where t = should be interpreted as Q4 2011, and the seasonal indices have been estimated as 0.80, 0.95, 1.20 and 1.05 for Q1, Q2, Q3 and 24, respectively) a) Vad blir trendkomponentens vrde fr Q4 2011? (What is the value of the trend component for Q4 2011?) (0.5p) b) Vad blir prediktionen av frsljningen Q3 2014? (What is the prediction of the sales for Q3 2014?) (1.5p) -- En linjr modell med ssongs-dummies har ocks passats till samma data och prediktionsekvationen r (A linear model with seasonal dummies has also been fit to the same data and the prediction equation is) De = 1228exp{0.05 +0.028t + 0.14d2 - 0.10d2 - 0.27d3} Om man berknar korrelationen mellan prediktionerna frn dekompositionsmodellen fr Q4 2011 till Q4 2016 och motsvarande prediktioner frn den linjra modellen med ssongs-dummies s r den 99.99%. (If one computes the correlation between the prediction from the decomposition model from Q4 2011 to Q4 2016 and the corresponding prediction from the linear model with seasonal dummies, it is 99.99%). c) Vilket kvartal representeras inte av en dummy-variabel? (Which quarter is not represented by a dummy?) (0.5p) d) Vilket kvartal representeras av dummy-variabeln di? (Which quarter is represented by the dummy d,?) (0.5p) e) Vad blir prediktionen av frsljningen Q3 2014 i modellen med dummies? (What is the prediction of Q3 2014 sales in the model with dummies?) (1p) (A decomposition model has been fit to a series of quarterly sales data. The trend component has been estimated as 7c = 1234e0.029t, where t = O should be interpreted as Q4 2011, and the seasonal indices have been estimated as 0.80, 0.95, 1.20 and 1.05 for Q1, Q2, Q3 and Q4, respectively) a) Vad blir trendkomponentens vrde fr Q4 2011? (What is the value of the trend component for Q4 2011?) (0.5p) b) Vad blir prediktionen av frsljningen Q3 2014? (What is the prediction of the sales for Q3 2014?) (1.5p) En linjr modell med ssongs-dummies har ocks passats till samma data och prediktionsekvationen r (A linear model with seasonal dummies has also been fit to the same data and the prediction equation is) De = 1228exp{0.05 +0.028t +0.14d, -0.10d2 - 0.27d3} Om man berknar korrelationen mellan prediktionerna frn dekompositionsmodellen fr Q4 2011 till Q4 2016 och motsvarande prediktioner frn den linjra modellen med ssongs-dummies s r den 99.99%. (If one computes the correlation between the prediction from the decomposition model from Q4 2011 to Q4 2016 and the corresponding prediction from the linear model with seasonal dummies, it is 99.99%). c) Vilket kvartal representeras inte av en dummy-variabel? (Which quarter is not represented by a dummy?) (0.5p) d) Vilket kvartal representeras av dummy-variabeln d? (Which quarter is represented by the dummy d,?) (0.5p) e) Vad blir prediktionen av frsljningen Q3 2014 i modellen med dummies? (What is the prediction of Q3 2014 sales in the model with dummies?) (1) 6 (I den hr uppgiften mste du visa hur du rknar och redogra fr hur du tnker fr att f full pong) En dekompositionsmodell har passats till en serie kvartalsvisa frsljningsdata. Trendkomponenten har skattats till T. = 1234 0.029t, dar t = 0 ska tolkas som Q4 2011, och ssongsindex har skattats till 0.80, 0.95, 1.20 och 1.05 for Q1, Q2, Q3 respektive 04. (A decomposition model has been fit to a series of quarterly sales data. The trend component has been estimated as f. = 1234e0.029, where t = should be interpreted as Q4 2011, and the seasonal indices have been estimated as 0.80, 0.95, 1.20 and 1.05 for Q1, Q2, Q3 and 24, respectively) a) Vad blir trendkomponentens vrde fr Q4 2011? (What is the value of the trend component for Q4 2011?) (0.5p) b) Vad blir prediktionen av frsljningen Q3 2014? (What is the prediction of the sales for Q3 2014?) (1.5p) -- En linjr modell med ssongs-dummies har ocks passats till samma data och prediktionsekvationen r (A linear model with seasonal dummies has also been fit to the same data and the prediction equation is) De = 1228exp{0.05 +0.028t + 0.14d2 - 0.10d2 - 0.27d3} Om man berknar korrelationen mellan prediktionerna frn dekompositionsmodellen fr Q4 2011 till Q4 2016 och motsvarande prediktioner frn den linjra modellen med ssongs-dummies s r den 99.99%. (If one computes the correlation between the prediction from the decomposition model from Q4 2011 to Q4 2016 and the corresponding prediction from the linear model with seasonal dummies, it is 99.99%). c) Vilket kvartal representeras inte av en dummy-variabel? (Which quarter is not represented by a dummy?) (0.5p) d) Vilket kvartal representeras av dummy-variabeln di? (Which quarter is represented by the dummy d,?) (0.5p) e) Vad blir prediktionen av frsljningen Q3 2014 i modellen med dummies? (What is the prediction of Q3 2014 sales in the model with dummies?) (1p) (A decomposition model has been fit to a series of quarterly sales data. The trend component has been estimated as 7c = 1234e0.029t, where t = O should be interpreted as Q4 2011, and the seasonal indices have been estimated as 0.80, 0.95, 1.20 and 1.05 for Q1, Q2, Q3 and Q4, respectively) a) Vad blir trendkomponentens vrde fr Q4 2011? (What is the value of the trend component for Q4 2011?) (0.5p) b) Vad blir prediktionen av frsljningen Q3 2014? (What is the prediction of the sales for Q3 2014?) (1.5p) En linjr modell med ssongs-dummies har ocks passats till samma data och prediktionsekvationen r (A linear model with seasonal dummies has also been fit to the same data and the prediction equation is) De = 1228exp{0.05 +0.028t +0.14d, -0.10d2 - 0.27d3} Om man berknar korrelationen mellan prediktionerna frn dekompositionsmodellen fr Q4 2011 till Q4 2016 och motsvarande prediktioner frn den linjra modellen med ssongs-dummies s r den 99.99%. (If one computes the correlation between the prediction from the decomposition model from Q4 2011 to Q4 2016 and the corresponding prediction from the linear model with seasonal dummies, it is 99.99%). c) Vilket kvartal representeras inte av en dummy-variabel? (Which quarter is not represented by a dummy?) (0.5p) d) Vilket kvartal representeras av dummy-variabeln d? (Which quarter is represented by the dummy d,?) (0.5p) e) Vad blir prediktionen av frsljningen Q3 2014 i modellen med dummies? (What is the prediction of Q3 2014 sales in the model with dummies?) (1)