Consider the simple regression Y = β1 + β2 · log(x) + ε and let ˆb2 be the OLS estimate of β2. The interpretation of coefficient ˆb2 is best described by (mark the correct statement): (a) A 1% change in x leads to (approximately) a ˆb2% change in y (b) A 1 unit change in x leads to (approximately) a ˆb2 change in y (c) A 1 unit change in x leads to (approximately) a 2 · ˆb2 change in y (d) A 1 unit change in x leads to (approximately) a 100ˆb2% change in y (e) A 1% change in x leads to (approximately) a ˆb2/100 unit change in y
Consider the simple regression Y = β1 + β2 · log(x) + ε and let ˆb2 be the OLS estimate of β2. The interpretation of coefficient ˆb2 is best described by (mark the correct statement): (a) A 1% change in x leads to (approximately) a ˆb2% change in y (b) A 1 unit change in x leads to (approximately) a ˆb2 change in y (c) A 1 unit change in x leads to (approximately) a 2 · ˆb2 change in y (d) A 1 unit change in x leads to (approximately) a 100ˆb2% change in y (e) A 1% change in x leads to (approximately) a ˆb2/100 unit change in y
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Consider the simple regression Y = β1 + β2 · log(x) + ε and let ˆb2 be the OLS estimate of β2. The interpretation of coefficient ˆb2 is best described by (mark the correct statement):
(a) A 1% change in x leads to (approximately) a ˆb2% change in y (b) A 1 unit change in x leads to (approximately) a ˆb2 change in y
(c) A 1 unit change in x leads to (approximately) a 2 · ˆb2 change in y (d) A 1 unit change in x leads to (approximately) a 100ˆb2% change in y
(e) A 1% change in x leads to (approximately) a ˆb2/100 unit change in y
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