ECO 351 - Business Statistics II - Problem Set 2

Question 1

Identify whether the following equations are linear in the variables and/or linear in the coefficients:
a. Yi = β0 + β1Xi + εi

Accepted Answer

Linear in the Variables

Accepted Answer

Linear in the Coefficients

Answer

Not Linear in Variables

Answer

Not Linear in Coefficients

Question 2

Identify whether the following equations are linear in the variables and/or linear in the coefficients:
b. Yi = exp(β0) + β1Xi + εi

Accepted Answer

Linear in the Variables

Accepted Answer

Not Linear in Coefficients

Answer

Linear in the Coefficients

Answer

Not Linear in Variables

Question 3

Identify whether the following equations are linear in the variables and/or linear in the coefficients:
c. Yi = β0 + β1Xi3 + εi

Accepted Answer

Linear in the Coefficients

Accepted Answer

Not Linear in Variables

Answer

Linear in the Variables

Answer

Not Linear in Coefficients

Question 4

Identify whether the following equations are linear in the variables and/or linear in the coefficients:
d. lnYi = β0/β1 + β2Xi + εi

Accepted Answer

Not Linear in Variables

Accepted Answer

Not Linear in Coefficients

Answer

Linear in the Variables

Answer

Linear in the Coefficients

Question 5

Identify whether the following equations are linear in the variables and/or linear in the coefficients:
e. Yi = β04 + β1Xi + εi

Accepted Answer

Linear in the Variables

Accepted Answer

Not Linear in Coefficients

Answer

Linear in the Coefficients

Answer

Not Linear in Variables

Question 6

Identify whether the following equations are linear in the variables and/or linear in the coefficients:
f. Yi = ln(β0) + β1Xi2 + εi

Accepted Answer

Not Linear in Variables

Accepted Answer

Not Linear in Coefficients

Answer

Linear in the Variables

Answer

Linear in the Coefficients

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