True or False ? Justify your answers. 1 SIC is an adequate model selection criteria to select between quadratic and log linear (log(y)t B1 + B2TIME +€t) trends.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**True or False? Justify your answers.**

1. **SIC is an adequate model selection criteria to select between quadratic and log linear \((\log(y)_t = \beta_1 + \beta_2TIME_t + \epsilon_t)\) trends.**

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*Explanation:*

This exercise asks whether the Schwarz Information Criterion (SIC) is appropriate for choosing between two types of trends: quadratic and log linear. The mathematical expression \((\log(y)_t = \beta_1 + \beta_2TIME_t + \epsilon_t)\) represents a model where the natural logarithm of the dependent variable \(y\) is a linear function of time \(t\) with parameters \(\beta_1\), \(\beta_2\), and an error term \(\epsilon_t\).
Transcribed Image Text:**True or False? Justify your answers.** 1. **SIC is an adequate model selection criteria to select between quadratic and log linear \((\log(y)_t = \beta_1 + \beta_2TIME_t + \epsilon_t)\) trends.** --- *Explanation:* This exercise asks whether the Schwarz Information Criterion (SIC) is appropriate for choosing between two types of trends: quadratic and log linear. The mathematical expression \((\log(y)_t = \beta_1 + \beta_2TIME_t + \epsilon_t)\) represents a model where the natural logarithm of the dependent variable \(y\) is a linear function of time \(t\) with parameters \(\beta_1\), \(\beta_2\), and an error term \(\epsilon_t\).
Expert Solution
Step 1

From the given information,

SIC is the schwarz information criterion  which is used to compare models or selection of model that best fit  data among the finite set of the models that is model with lower SIC are generally selected.

 

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