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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Refer to Kidney function Problem 9.15.
a. Using first-order and second-order terms for each of the three predictor variables (centered around the mean) in the pool of potential X variables (including cross; products of the first order terms), find the three best hierarchical subset regression models according to the Cp criterion.
b. Is there much difference in Cp for the three best subset models?
Problem 9.15
Kidney function. Creatinine clearance (Y) is an important measure of kidney function, but is difficult to obtain in a clinical office setting because it requires 24 – hour urine collection. To determine whether this measure can be predicated from some data that are easily available, a serum creatinine concentration (X1), age (X2), and weight (X3).
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a. Prepare separate dot plots for each of the three predictor variables. Are there any noteworthy features in these plots? Comment.
b. Obtain the scatter plot matrix. Also obtain the correlation matrix of the X variables. What do the scatter plots suggest about the nature of the functional relationship between the response variable Y and each predictor variable? Discuss. Are any serious multicollinearity problems evident? Explain.
c. Fit the multiple regression function containing the three predictor variables as first-order terms. Does it appear that all predictor variables should be retained?
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