Consider a regression study involving a dependent variable y, a quantitative independent variable x 1 , and a categorical variable with two levels (level 1 and level 2) a Write a multiple regression equation relating x 1 and the categorical variable to y b What is the expected value of y corresponding to level 1 of the categorical variable c What is the expected value of y corresponding to level 2 of the categorical variable d Interpret the parameters in your regression equation

Question: Consider a regression study involving a dependent variable y, a quantitative independent variable x 1 , and a categorical variable with two levels (level 1

Consider a regression study involving a dependent variable y, a quantitative independent variable x₁, and a categorical variable with two levels (level 1 and level 2).

a. Write a multiple regression equation relating x₁and the categorical variable to y.

b. What is the expected value of y corresponding to level 1 of the categorical variable?

c. What is the expected value of y corresponding to level 2 of the categorical variable?

d. Interpret the parameters in your regression equation

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