An analyst studies the turnover of a company over ten years. Let ? be the number of years after the first year the analyst looks at. ? is the turnover this year ? and the analyst assumes that the turnover is a normally distributed stochastic variable with expectation ? (?) = ?0 + ?1? and standard deviation ? = 0.07. Based on the observations, the analyst finds that:

x = 3.6 and ? = 4.55 ? = ?⁹_{? = 0} (?? ? ?) 2 = 7.44, ?⁹_{? = 0} (?? ? ?) ?? = 5.18

a) Estimate ?0 and ?1 ?0 ^ =? ?1 ^ =?

(Round your answer to 2 decimal places) b) Can it be shown that the annual increase in turnover, ?1, is greater than 0.5? Formulate appropriate hypotheses and perform the hypothesis test at 5% significance level. Critical value, ? = (Round your answer to 2 decimal places.) c) Find a 90% confidence interval for expected turnover for ? = 5. Lower confidence limit =? (Round your answer to 2 decimal places.) Upper confidence limit =? (Round your answer to 2 decimal places.) d) Find a 95% prediction interval for the turnover for ? = 1. Lower prediction limit =? (Round your answer to 2 decimal places.) Upper prediction limit =? (Round your answer to 2 decimal places.)

En analytiker studerer omsetningen til et firma over ti ar. La x vere antall ar etter det forste aret analytikeren ser pa. Y er omsetningen i ar x og analytikeren antar at omsetningen er en normalfordelt stokastisk variabel med forventning E(Y) = Po + 1 x og standardavvik o = 0, 07. Ut fra observasjonene finner ananlytikeren at: x = 3, 6 ogy = 4, 55 M = Zi=0(xi - x)2 =7, 44, Zi=o(x; - x)yi = 5, 18 a ) Estimer Bo og B1 . Bo = Round your answer to 2 decimal places. B1 = Round your answer to 2 decimal places. Send inn svar Poengsum: 0/2 Ubesvart. b) Kan det pavises at den arlige omsetningsokningen, 1 , er storre enn 0, 5? Formuler passende hypoteser og gjennomfor hypotesetesten pa 5% signifikansniva. Kritisk verdi, k = Round your answer to 2 decimal places. Konklusjon: Pasta H1 O Ikke pasta H1 Send inn svar Boks