Consider a regression study involving a dependent variable y, a quantitative independent variable x 1 , and a categorical independent variable with three possible levels (level 1, level 2, and level 3).How many dummy variables are required to represent the categorical variable?Write a multiple regression equation relating and the categorical variable to y.Interpret the parameters in your regression equation. Consider a regression study involving a dependent variable y, a quantitative independent variable 1, and a categorical independent variable with three possible levels (level 1, level 2and level 3).a. How many dummy variables are required to represent the categorical variable?b. Consider the following regression equation relating æ1 and the categorical variable to y.E(y) Bo + B1a1 + B2a2 + Bza3Enter the values of dummy variables az and 23 that are used to indicate the three levels of the categorical variable.Level23Select your answerSelect your answerSelect your answerSelect your answerSelect your answerSelect your answerc. Complete the statement below. B1 is the change in E(y) for a 1 unit change inSelect your answerv holding the categorical variable constant.Check My WorkD= Icon Key

Since the categorial variables has 3 levels, we will require 3-1=2 dummy variables. Let us define…

Consider a regression study involving a dependent variable y, a quantitative independent variable x 1 , and a categorical independent variable with three possible levels (level 1, level 2, and level 3). How many dummy variables are required to represent the categorical variable? Write a multiple regression equation relating and the categorical variable to y. Interpret the parameters in your regression equation.

Consider a regression study involving a dependent variable y, a quantitative independent variable x 1 , and a categorical independent variable with three possible levels (level 1, level 2, and level 3). How many dummy variables are required to represent the categorical variable? Write a multiple regression equation relating and the categorical variable to y. Interpret the parameters in your regression equation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 21PFA

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