lab8f09_ans

lab8f09_ans - STAT 401C LAB #8 ANSWER KEY FALL 2009...

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STAT 401C LAB #8 ANSWER KEY FALL 2009 Question 1 1a) Scatter Plot 0 50 100 150 200 250 300 350 500 600 700 800 900 1000 1100 Temperature Young's Modulus Series1 1b) 1 22 01 18,006*4006 2,739,292 24 ˆ 0.6 18,006^ 2 () 13,952,218 24 4006 18,006 ˆˆ (.6) 617.07 24 24 The prediction equation is 617.07 0.6 XY n XX YX β ββ = = = = −= = = ∑∑ 1c) Analysis of Variance You can use Excel or the formulas , Re , xy xy yy yy yy yy SS SSTot S SS g SSE S = = = to calculate the Sums of Squares. We have: Analysis of Variance Source df SS MS F-ratio p-value Regression 1 159893.64 159893.64 1148.737 <.0001 Error 22 3062.20 139.0 Corrected Total 23 162955.83
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1d) Lack Of Fit x Y values Y Deviation Sum of Deviation^2 603 260,254 257 3,-3 18 650 240,232,236 236 4,-4 ,0 32 700 190,184,184 186 4,-2,-2 24 750 158,162,154 158 4,-4 32 800 136,130,124 130 6,0,-6 72 850 117,94 105.5 11.5,-11.5 264.5 900 67,61 64 3,-3 18 1000 40,35 37.5 2.5,-2.5 12.5 Total 473.0 12 replications 12 degrees of freedom. Analysis of Variance for Lack-of-fit Test Source df SS MS F-ratio p-value Lack of fit 10 2589.20 258.92 6.57 .0016 Pure Error 12 473.00 39.42 Total Error 22 3062.20 F(.05,10,12) = 2.75 . Reject H0. Conclude that there is significant lack of fit for the linear regression model.
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This note was uploaded on 01/23/2010 for the course STAT 213 taught by Professor Hao during the Spring '10 term at Internet2.

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lab8f09_ans - STAT 401C LAB #8 ANSWER KEY FALL 2009...

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