The accompanying data file contains 20 observations on the response variable y along with the predictor variables x 1 and x 2 a Estimate a regression model with the predictor variables x 1 and x 2 , and then extend it to also include the interaction variable x 1 x 2 b Use the preferred model to com...

a No Interaction y 176418 27162x 1 03176x 2 Overall the model without the interaction variable expla ...

The accompanying data file contains 20 observations on the response variable y along with the predictor variables

Question:

The accompanying data file contains 20 observations on the response variable y along with the predictor variables x₁ and x₂.
a. Estimate a regression model with the predictor variables x₁ and x₂, and then extend it to also include the interaction variable x₁x₂.
b. Use the preferred model to compute ŷ given x₁= 30 with x₂ evaluated at 10 and 20.