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pracmids06

# pracmids06 - PSTAT 120C Practice Midterm The midterm will...

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PSTAT 120C: Practice Midterm May 2, 2006 The midterm will be Thursday May 4 form 9:30 to 10:45. Please bring Textbook, One page (8 1 2 × 11) with whatever formulas you decide are necessary, Calculator, and Blue book for writing all your answers. Please come early on Thursday because the exam will begin promptly at 9:30 to give everyone as much time as possible. Here are a couple of practice questions. I hope to publish the solutions on Wednesday. 1. Suppose that Y 1 , . . . , Y n are independent normal observations with standard deviation σ and expectations E ( Y i ) = β 0 + β 1 x i for some known values of x i . Let ˆ y i be the least-squares predicted value of the mean at x i . Calculate Cov(ˆ y i , y i ). 2. The Goleta Surfboard Company wants to predict the size of the waves based on the speed of the wind at the coast. They checked back through historical records for the 365 days of last year and found that the wind averaged 15 mph with a standard deviation of s wind = 10 mph. The average size of the waves is 2 feet with a standard deviation of

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pracmids06 - PSTAT 120C Practice Midterm The midterm will...

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