hw3_soln-1

# hw3_soln-1 - Problem 3.18(a,b,c(a To obtain the least...

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Problem 3.18(a,b,c) (a) To obtain the least squares regression equation, first we will compute the slope and the vertical intercept using the equations provided in Section 3.3. ( 29 ( 29 ( 29 ( 29 62615 . 14 517 652289939 . 14 346 : Also 652289939 . 93 . 002 , 20 71 . 047 , 13 , 93 . 002 , 20 14 517 095 , 39 71 . 047 , 13 14 346 517 825 , 25 2 = - = - = = = = = - = = - = x b y a S S b So S S xx xy xx xy Thus, the equation for the least squares line is: x y 6523 . 0 626 . 0 ˆ + = (b) ( 29 46 . 23 35 65228939 . 62615 . ˆ , 35 When = + = = y x The corresponding residual is: ( 29 ( 29 46 . 2 46 . 23 21 ˆ - = - = - = y y residual (c) Yes, there is a very large residual corresponding to the (37, 9) pair. The predicted value y ˆ equals 24.76 and since the observed value is 9, the residual equals (9 – 24.76) = -15.76. Problem 3.23(a)

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hw3_soln-1 - Problem 3.18(a,b,c(a To obtain the least...

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