Consider the following linear trend models estimated from 10 years of quarterly data with and without seasonal dummy variables d1, d2, and d3. Here, d1 = 1 for quarter 1, 0 otherwise; other dummy variables are defined similarly. Model 1: ŷ = 48.00 + 0.44t Model 2: ŷ = 48.00 + 0.46t − 0.38d1 − 0.42d2 − 0.12d3 Use each model to make a forecast for y for the first and the fourth quarters of the 11th year. Note: Round your answers to 2 decimal places. Which is the preferred model for forecasting if, relative to Model 1, Model 2 has higher R2 but lower adjusted R2?

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Consider the following linear trend models estimated from 10 years of quarterly data with and without seasonal dummy variables d1d2, and d3. Here, d1 = 1 for quarter 1, 0 otherwise; other dummy variables are defined similarly.

Model 1:  = 48.00 + 0.44t

Model 2:  = 48.00 + 0.46t − 0.38d− 0.42d2 − 0.12d3

  1. Use each model to make a forecast for y for the first and the fourth quarters of the 11th year.

    Note: Round your answers to 2 decimal places.

  2. Which is the preferred model for forecasting if, relative to Model 1, Model 2 has higher R2 but lower adjusted R2
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