stat331-mid1_f15 - University of Waterloo STAT 331 Midterm...

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University of WaterlooSTAT 331: Midterm ITerm:FallYear:2015Student Name (Print):UW Student ID Number:UW Student Userid:Course Abbreviation and Number:STAT 331Course Title:Applied Linear ModelsSection(s):001Sections Combined Course(s):Section Numbers of Combined Course(s):Instructor(s):Martin LysyDate of Exam:Oct. 20, 2015Time Period:Start time:5:30pmEnd Time:6:20pmDuration of Exam:50 minutesNumber of Exam Pages (incl. cover sheet):6Exam Type:Closed BookAdditional Materials Allowed:CalculatorInstructions:Read all questions before you start.Not all questions and parts are equally difficult.The exam is single-sided.Use the backs of pages if you need extra space.Show all your workto receive full marks.You may tear offthe formula sheet on the last page (page 6).Marking Scheme:Question:123TotalPoints:14141240Score:This study resource wasshared via CourseHero.com
Question 1. (14 pts)Consider the simple linear regression modelyi|xiind∼ N(β0+β1xi, σ2),i= 1, . . . , n.Suppose thatn= 30,Sxx= 16,nsummationdisplayi=1x2i= 16,nsummationdisplayi=1xiyi= 40,¯y= 7.(a) (6 pts) Calculateˆβ0andˆβ1, the MLEs ofβ0andβ1.

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