# In Problem 1, separate straight-line regressions of SBP on QUET were compared for smokers (SMK = 1) and nonsmokers (SMK

## Question:

In Problem 1, separate straight-line regressions of SBP on QUET were compared for smokers (SMK = 1) and nonsmokers (SMK = 0).
a. Define a single multiple regression model that uses the data for both smokers and nonsmokers and that defines straight-line models for each group with possibly differing intercepts and slopes. Define the intercept and slope for each straight-line model in terms of the regression coefficients of the single regression model.
b. Using the accompanying computer output, determine and plot on graph paper the two fitted straight lines obtained from the fit of the regression model.
c. Test the following null hypotheses:
H0: "The two lines are parallel."
H0: "The two lines are coincident."
For each of these tests, state the appropriate null hypothesis in terms of the regression coefficients of the regression model.
d. Compare your answers in parts (b) and (c) with those you obtained by fitting separate regressions in Problem 1.

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Related Book For

## Applied Regression Analysis and Other Multivariable Methods

ISBN: 978-1285051086

5th edition

Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg

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