Which of the following is a correct model with a categorical explanatory variable with three categories?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

An experiment was performed with three treatments (A, B, and C). Which of the following is a correct model with a categorical explanatory variable with three categories?

yˆ = a +bx

              where x = 0 if in treatment A, x = 1 if in treatment B, and x= 2 if in treatment C

yˆ = a +bxA + cxB + dxC

              where    xA = 1 if in treatment A, and = 0 if not in treatment A

                             xB = 1 if in treatment B, and = 0 if not in treatment B

                             xC = 1 if in treatment C, and = 0 if not in treatment C

yˆ = a + bxA + cxB

              where    xA = 1 if in treatment A, and = 0 if not in treatment A

                             xB = 1 if in treatment B, and = 0 if not in treatment B

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman