Consider a linear regression model where y represents the response variable and x 1 and x 2 are the predictor variables A regression model with x 1 , x 2 , and x 1 x 2 , where x 1 x 2 is the interaction variable, is estimated as y 123 12 6 91x 1 1 53x 2 0 12x 1 x 2 a Compute y for x 1 12 and x 2 eq...

a y 12312 69112 15320 0121220 ...

Consider a linear regression model where y represents the response variable and x 1 and x 2

Question:

Consider a linear regression model where y represents the response variable and x₁ and x₂ are the predictor variables. A regression model with x₁, x₂, and x₁x₂, where x₁x₂ is the interaction variable, is estimated as ŷ = 123.12 + 6.91x₁ − 1.53x₂ − 0.12x₁x₂.
a. Compute ŷ for x₁ = 12 and x₂ equal to 20 and 30.
b. Compute ŷ for x₁ = 24 and x₂ equal to 20 and 30.