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Tire wear and pressure. Suppose you want to use the coding system for observational data to fit a second-order model to the tire pressure–automobile mileage data in Exercise 10, which are repeated in the table.
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Order Paper Now(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 + β1u + β2u2 using available statistical software. Interpret the results.
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