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stat512prob3

# stat512prob3 - Statistics 512 Problem Set No 3 Due Monday...

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Statistics 512: Problem Set No. 3 Due Monday, October 4, 2010 (PTR & EPE) Tuesday, October 5, 2010 (Divisions 2 & 3) 1. Consider the following data set that describes the relationship between the rate of an enzy- matic reaction ( V ) and the substrate concentration ( C ). A common model used to describe the relationship between rate and concentration is the Michaelis-Menten model V = θ 1 C θ 2 + C , where θ 1 is the maximum rate of the reaction and θ 2 describes how quickly the reaction will reach its maximum rate. With this mode, 1 V can be written as a linear model with explanatory variable 1 C : 1 V = 1 θ 1 + θ 2 θ 1 1 C Concentration Rate 0.02 76 0.02 47 0.06 97 0.06 107 0.11 123 0.11 139 Concentration Rate 0.22 159 0.22 152 0.56 191 0.56 201 1.10 207 1.10 200 (a) Generate a scatterplot of V vs C . Comment on the shape. (b) Define new variables for 1 V and 1 C in SAS, and generate a scatterplot of the new variables. Does the fit appear linear? Do any assumptions appear to be violated? The new variables can be defined as follows (if the dataset original contains the raw data):

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stat512prob3 - Statistics 512 Problem Set No 3 Due Monday...

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