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Unformatted text preview: 11 = 155 . 64 SS x = s ( x 2 )( x ) 2 n = 2341296 11 = 116 . 18 r = SP xy r SS x SS y = 25 . 55 r (116 . 18)(155 . 64) = 0.19 Regression: b = SP xy SS x = 25 . 55 116 . 18 = 0 . 22 Y = y n = 53 . 00 / 11 = 4 . 82 , X = x n = 36 . 00 / 11 = 3 . 27 a = Y( b )( X ) = 4 . 82(0 . 22)(3 . 27) = 4 . 10 Y p = bX + a = Y p =(0.22)(X)+(4.10) Prediction: at x = 8, the prediction for y = (0 . 22)(8)+ 4 . 10 = 5.86 Standard Error of Prediction: s y  x = R SS y (1r 2 ) n2 = R 155 . 64(1(0 . 19) 2 ) 112 = 4.08 Note: On the exam you should round all intermediate results to 2 decimal places. However the fnal answers on this key were computed using higher precision, thereFore there may be rounding discrepancies with solutions computed rounding at every step, especially For prediciton....
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 Fall '08
 Ard

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