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Applied Statistics

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NAPIER UNIVERSITY SCHOOL OF MATHEMATICS AND STATISTICS MODULE MA32808 APPLIED STATISTICS MULTIPLE REGRESSION COURSEWORK Student: Nicolas LEGRAIS 07007619 Assessor: Phillip DARBY Moderator: Dr Sandra BONELLIE 1/ In order to obtain an equation to predict the quality of the product, we used a model with all the variables. Equation to predict the quality of the product, ignoring the variable shift: Qualprod= -10,354+0,041*Temp1+0,002*Temp2+0,671*Recycle+0,620*Qualraw This model has an R-Square value of 0,952 (95,2% of the variations are explained by the variables) but this equation isn't the good one because with have too much variables with the high sig. (Appendix Q1) Prediction of the mean quality of the product (with a 95% confidence interval) if the following settings were used: a/ Temp1=200 Temp2=300 Recycle=4% Qualraw=15 Prediction of the mean quality: PRE_1=10,4458 Mean confidence interval: [LMCI_1 ; UNCI_1]=[6,6514 ; 14,2402] b/ Temp1=200 Temp2=300 Recycle=14% Qualraw=15 Prediction of the mean quality: PRE_1=17,1519 Mean confidence interval: [LMCI_1 ; UNCI_1]=[6,2760 ; 28,0278] a) We saw in 1/ that we can't accept the simple model because...

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