STA302H1 Midterm: UTSG STA 302 t2s04

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7 Mar 2019
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Sta 302 / 1001 h - summer 2004. Instructions: time: 60 minutes, aids allowed: calculator, a table of values from the t distribution is on the second to last page (page 8), a table of formulae is on the last page (page 9), total points: 30. 1: suppose the following four pairs of observations have been made. 3 and a simple linear regression is to be t to the data. (x x) 1 = 7/10 3/10. 3/10 (a) (1 point) state the x matrix. (b) (3 marks) find the least squares estimates of the slope and intercept of the regression line. (c) (2 marks) estimate the covariance between the estimators of the slope and intercept. 2: for the multiple linear regression model y = x + , the least squares estimates are b = (x x) 1x y and the residuals are e = y xb.

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