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

MATLAB: An Introduction with Applications
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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

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