Consider the following trend models estimated from 30 observations.

Linear Model: y_t = 24 + 0.12t

Quadratic Model 2: y_t = 30 + 0.20t 0.01t²

Make a forecast for t = 31 and t = 32 with both models.

Note: Do not round intermediate calculations. Round final answers to 2 decimal places.

t Linear Model Quadratic Model

31 _______ ________

32 _______ ________

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

________ because it has _______ _________.