STA302H1 Midterm: UTSG STA 302 examf09
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Student number: there are 23 pages including this page, the last page is a table of formulae that may be useful. 1: consider the simple linear regression model. Yi = 0 + 1xi + i, i = 1, . , n where the i are independent and identically distributed n (0, 2) random variables. Let b0 and b1 be the least squares estimates of. 0 and 1 respectively. (a) (3 marks) explain the method of least squares as used in simple linear regression. Use language that someone who has studied no statistics can understand. (b) (5 marks) derive the formula for b1, the least squares estimate of 1. (your answer should be one of the expressions on the formula sheet. You may assume that the formula for b0 is known. ) Continued (c) (4 marks) yi is the value of y for the ith observation estimated from the tted regression line.
