Solution Found!
Consider a multiple regression model for a response y,with
Chapter 12, Problem 82E(choose chapter or problem)
Consider a multiple regression model for a response y,with one quantitative independent variable \(x_1\) and one qualitative variable at three levels.
a. Write a first-order model that relates the mean responseE(y) to the quantitative independent variable.
b. Add the main effect terms for the qualitative independent variable to the model of part a. Specify the coding scheme you use.
c. Add terms to the model of part b to allow for interaction between the quantitative and qualitative independent variables.
d. Under what circumstances will the response lines of the model in part c be parallel?
e. Under what circumstances will the model in part c have only one response line?
Questions & Answers
QUESTION:
Consider a multiple regression model for a response y,with one quantitative independent variable \(x_1\) and one qualitative variable at three levels.
a. Write a first-order model that relates the mean responseE(y) to the quantitative independent variable.
b. Add the main effect terms for the qualitative independent variable to the model of part a. Specify the coding scheme you use.
c. Add terms to the model of part b to allow for interaction between the quantitative and qualitative independent variables.
d. Under what circumstances will the response lines of the model in part c be parallel?
e. Under what circumstances will the model in part c have only one response line?
ANSWER:Step 1 of 5
We need to consider a multiple regression model for response y, with one quantitative
independent variable 
a) We need to write a ?rst-order model relating the mean response E (y) to the
quantitative independent variable
The model of interest is E(y) =
