Consider that you have a data set with 1000 observations. You consider the following models: 1. Inly)=B1 + B₂(x1) + B3(x2)+84(x3) + e 2. Inly)=B₁ + B₂(x1) + B3(x2) + B4(x3) + B5(x4) + e 3. Inty)=B1 + B₂(x1) + B3(x2)+ e 4.y=B₁ + B₂(x1) +B3(x2)+84(x3) + B5(x4) + e Which of the following is true? You cannot use the AIC selection criterion to choose between models 3 and 4. O a. O b. If AIC prefers model 1 over model 2, BIC must prefer model 1 over model 2 as well. Oc If AIC prefers model 2 over model 1, BIC must prefer model 2 over model 1 as well. d. (a) and (b) are correct e. (a), and (c) are correct

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Consider that you have a data set with 1000 observations. You consider the following models:
1. Inty) = B1 + B2(x1) +B3(x2) + B4(x3)+ e
2. Inty) = B1+Bz(x1) + B3(x2) +B4(x3)+B5(x4) + e
3. Inty) B1 +Bz(x 1) +B3(x2) + e
4. y B1 +B2(x 1) + B3(x2) +B4(x3) + B5(x4)+e
Which of the following is true?
You cannot use the AIC selection criterion to choose between models 3 and 4.
Oa.
O b.
If AIC prefers model 1 over model 2, BIC must prefer model 1 over model 2 as well.
If AIC prefers model 2 over model 1, BIC must prefer model 2 over model 1 as well.
Oc
Od (a) and (b) are correct
O e. (a), and (c) are correct
Transcribed Image Text:Consider that you have a data set with 1000 observations. You consider the following models: 1. Inty) = B1 + B2(x1) +B3(x2) + B4(x3)+ e 2. Inty) = B1+Bz(x1) + B3(x2) +B4(x3)+B5(x4) + e 3. Inty) B1 +Bz(x 1) +B3(x2) + e 4. y B1 +B2(x 1) + B3(x2) +B4(x3) + B5(x4)+e Which of the following is true? You cannot use the AIC selection criterion to choose between models 3 and 4. Oa. O b. If AIC prefers model 1 over model 2, BIC must prefer model 1 over model 2 as well. If AIC prefers model 2 over model 1, BIC must prefer model 2 over model 1 as well. Oc Od (a) and (b) are correct O e. (a), and (c) are correct
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