Mid1 - Stat/ME 424, Spring 2008 First Midterm Examination...

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Unformatted text preview: Stat/ME 424, Spring 2008 First Midterm Examination (Total : 100 points) This is a closed book exam, except for three pages of notes. You are allowed to use calculators. There are four problems in this exam. In order to get full credit, please answer all problems. Please put your answers in a blue book with your name on the blue book cover. Problem 1 (40 pts) A simple linear regression model y = + 1 x + with N ( , 2 ) is fitted to the accom- panying data on x = % refuse-derived fuel (RDF) heat input and y = % efficiency for a certain boiler. x 37 30 48 29 27 16 20 y 78.0 77.2 74.4 77.7 76.9 79.0 82.1 76.5 with y = 77 . 725, x = 25 . 875, = 81 . 173, ( x i- x ) 2 = 1442 . 875 and RSS = 8 . 7328 (a) Compute a 95% confidence interval for 1 . You may find the following information useful. Upper percentiles of t distributions: t 6 , . 025 = 2 . 45 , t 6 , . 05 = 1 . 94 , t 7 , . 05 = 1 . 89 , t 7 , . 025 = 2 . 36 , t 8 , . 025 = 2 . 31 , t 8 , . 05 = 1 . 86 ....
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This note was uploaded on 03/30/2008 for the course STAT 424 taught by Professor Peter during the Spring '08 term at Wisconsin.

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Mid1 - Stat/ME 424, Spring 2008 First Midterm Examination...

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