Consider the following trend models estimated from 30 observations. Linear Model: = 24 + 0.12t Quadratic

Consider the following trend models estimated from 30 observations.

Linear Model: ŷ = 24 + 0.12t 

Quadratic Model 2: ŷ = 30 + 0.20t − 0.01t²

a. Use each model to make a forecast for y at t = 31 and t = 32. 

b. Which is the preferred model for forecasting if, relative to the linear model, the quadratic model has higher R² but lower adjusted R² ?