Unformatted text preview: CH19PR14.DAT ). The two active ingredients occur in the following quantities in the study: Quantity (in milligrams) Factor X 1 X 2 Level (ingredient 1) (ingredient 2) Low 5.0 7.5 Medium 10.0 10.0 High 15.0 12.5 5. Treating the quantities of each ingredient as quantitative variables, analyze these data using linear regression. Include linear and centered quadratic terms for each predictor and the product of the centered linear terms: Y i,j,k = β + β 1 x i,j,k, 1 + β 2 x i,j,k, 2 + β 3 x 2 i,j,k, 1 + β 4 x 2 i,j,k, 2 + β 5 x i,j,k, 1 x i,j,k, 2 + ± i,j,k . Summarize the results of this analysis. 6. Check the assumptions of the regression model used in Problem 5. 7. Give a discussion comparing the twoway ANOVA model and the regression (Problem 5) approaches to this analysis. Include a comparison of the values of R 2 for the two analyses and the conclusions drawn concerning interactions. 1...
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This note was uploaded on 03/15/2012 for the course STAT 512 taught by Professor Staff during the Fall '08 term at Purdue.
 Fall '08
 Staff
 Statistics

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