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Slides for Recitation VIII

# Slides for Recitation VIII - STAT 201 STAT Recitation VIII...

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STAT 201 STAT 201 Recitation VIII (05/29/09)

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Regression Analysis Regression Analysis A company that manufacturers machine parts would like to develop a model to estimate the number of worker- hours required for production runs of varying lot size. A random sample of 14 production runs (2 each of lot sizes 20, 30, 40, 50, 60, 70, and 80) is selected with the following results: Size (x) Worker-Hours (y) Size Worker-Hours 20 50 50 112 20 55 60 128 30 73 60 135 30 67 70 148 40 87 70 160 40 95 80 170 50 108 80 162 = = = = = 480 , 88 ; 402 , 193 ; 550 , 1 ; 600 , 40 ; 700 2 2 i i i i i i y x y y x x
(a) Find the equation of the sample regression line. = b 0 +b 1 x Slope: Intercept: Therefore, theregression lineis = 12.6790 + 1.9607x 9607 . 1 600 , 5 980 , 10 14 700 600 , 40 14 ) 1550 ( 700 480 , 88 ) ( ) )( ( 2 2 2 1 = = - - = - - = = n x x n y x y x SS SS b i i i i i i xx xy 6790 . 12 ) 000 . 50 ( 9607 . 1 714 . 110 1 0 = - = - = n x b n y b i i Y ˆ (b) Use your result from Part (a) to predict (with a point predictor) the number of worker-hours that would be required for a production run having a lot size of 65.

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