Suppose you want to use the coding system for observational data to fit a second-order model to

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Suppose you want to use the coding system for observational data to fit a second-order model to the tire pressure–automobile mileage data given in the next table below.


a. Give the equation relating the coded variable u to pressure, x, using the coding system for observational data.

b. Calculate the coded values, u.

c. Calculate the coefficient of correlation r between the variables x and x2.

d. Calculate the coefficient of correlation r between the variables u and u2. Compare this value to the value computed in part c.

e. Fit the model

    E(y) = β0 + β1u1 + β2u2 

using available statistical software. Interpret the results.

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Related Book For  book-img-for-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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