Question: Suppose that we use a standardized variable x` = (x x)/sx, where sx is the standard deviation of x, in constructing a polynomial regression

Suppose that we use a standardized variable x` = (x – x)/sx, where sx is the standard deviation of x, in constructing a polynomial regression model. Using the data in Exercise 12-46 and the standardized variable approach, fit the model Y = Bo + B1x + B11x2 + έ.
(a) What value of y do you predict when x = 285oF?
(b) Estimate the regression coefficients in the unstandardized model Y = Bo + B1x + B11x2 + έ.
(c) What can you say about the relationship between SSE and R2 for the standardized and unstandardized models?
(d) Suppose y` = (y – y)/sy that is used in the model along with x`. Fit the model and comment on the relationship between SSE and R2 in the standardized model and the unstandardized model.

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