b The coffined of determination is given by r 2 1 SSESST where SSE n i 1 y i \u02c6

Probability and Statistics for Engineering and the Sciences (with CD-ROM and InfoTrac )

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(b) The coffined of determination is given by r 2 = 1 - SSE/SST , where SSE = n i =1 ( y i - ˆ β 0 - ˆ β 1 x i ) 2 , while SST = S yy = n i =1 ( y i - ¯ y ) 2 . It can be shown that SSE SST (see lecture note) so 0 r 2 1 . 2

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