Consider Eq. (17.13.4): To obtain the variance of Î²Ì i from the variances of aÌ i ,

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Consider Eq. (17.13.4):

B; = ao + aji + azi² + . ..+ ami™


To obtain the variance of β̂i from the variances of âi, we use the following formula:

var (B) : = var (âo + âji + âzi² + · ..+ âmi™) -Σ Ei var (â;) +2iU+p)cov (â¡âp) -Σο J<P j=0

a. Using the preceding formula, find the variance of β̂i expressed as


b. If the variances of âi are large relative to themselves, will the variance of β̂i be large also? Why or why not?

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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