Consider a linear regression model where y represents the response variable and x, d 1 , and d 2 are the predictor variables Both d 1 and d 2 are dummy variables, each assuming values 1 or 0 A regression model with x, d 1 , d 2 , and d 1 d 2 , where d 1 d 2 is the interaction variable, is estimated as y 1 34 1 02x 3 08d 1 1 29d 2 0 58d 1 d 2 a Compute y for x 5, d 1 1, and d 2 equal to 0 and 1 b Compute y for x 5, d 1 0, and d 2 equal to 0 and 1

Question: Consider a linear regression model where y represents the response variable and x, d 1 , and d 2 are the predictor variables. Both d

Consider a linear regression model where y represents the response variable and x, d₁, and d₂ are the predictor variables. Both d₁ and d₂ are dummy variables, each assuming values 1 or 0. A regression model with x, d₁, d₂, and d₁d₂, where d₁d₂is the interaction variable, is estimated as yˆ = −1.34 + 1.02x + 3.08d₁ − 1.29d₂ + 0.58d₁d₂.

a. Compute ŷ for x = 5, d₁ = 1, and d₂ equal to 0 and 1.

b. Compute yˆ for x = 5, d₁ = 0, and d₂ equal to 0 and 1.

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