Figure TB 11-3
$$Y _ { i } = \beta _ { 0 } + \beta _ { 1 } z _ { 1 i } + \beta _ { 2 } z _ { 2 i } + \beta _ { 3 } z _ { 1 i } z _ { 2 i } + e _ { i }$$
-The accompanying formula is the regression model for the____.
A)2 x 2 factorial
B)randomized block
C)analysis of covariance
D)regression point displacement

Question

​Figure TB 11-3
 $$Y _ { i } = \beta _ { 0 } + \beta _ { 1 } z _ { 1 i } + \beta _ { 2 } z _ { 2 i } + \beta _ { 3 } z _ { 1 i } z _ { 2 i } + e _ { i }$$
-The accompanying formula is the regression model for the____.
A)2 x 2 factorial
B)randomized block
C)analysis of covariance
D)regression point displacement

Quizplus · Accepted Answer

The formula represents a 2 x 2 factorial design, where $z_{1i}$ and $z_{2i}$ are the two factors, and $z_{1i}z_{2i}$ represents the interaction between these two factors.

​Figure TB 11-3 Yi=β0+β1z1i+β2z2i+β3z1iz2i+eiY _ { i } = \beta _ { 0 } + \beta _ { 1 } z _ { 1 i } + \beta _ { 2 } z _ { 2 i } + \beta _ { 3 } z _ { 1 i } z _ { 2 i } + e _ { i }Yi​=β0​+β1​z1i​+β2​z2i​+β3​z1i​z2i​+ei​

Figure TB 11-3 $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } z _ { 1 i } + \beta _ { 2 } z _ { 2 i } + \beta _ { 3 } z _ { 1 i } z _ { 2 i } + e _ { i }$