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OA. For every decrease of one unit of % change in Y, holding bo constant, the estimated change in log X, or log X₂ is b₁ or b₂ units respectively. OB. Holding constant the other variables, for every one percent increase in X₁ or X₂, the value of Y increases by b, or b₂ percent respectively. OC. For every increase of b, units of log X, or b₂ units of log X₂, the value of % change in Y will increase by one unit. O D. Holding constant the other variables, for every one percent decrease in X₁ or X₂, the value of Y increases by

OA. For every decrease of one unit of % change in Y, holding bo constant, the estimated change in log X, or log X₂ is b₁ or b₂ units respectively. OB. Holding constant the other variables, for every one percent increase in X₁ or X₂, the value of Y increases by b, or b₂ percent respectively. OC. For every increase of b, units of log X, or b₂ units of log X₂, the value of % change in Y will increase by one unit. O D. Holding constant the other variables, for every one percent decrease in X₁ or X₂, the value of Y increases by

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Transcription and Explanation:** The image presents a set of multiple-choice responses related to changes in variable Y as influenced by variables \( X_1 \) and \( X_2 \). The responses involve interpreting percentage changes and logarithmic changes in these variables. - **Option A:** "For every decrease of one unit of % change in Y, holding \( b_0 \) constant, the estimated change in log \( X_1 \) or log \( X_2 \) is \( b_1 \) or \( b_2 \) units respectively." - **Option B:** "Holding constant the other variables, for every one percent increase in \( X_1 \) or \( X_2 \), the value of Y increases by \( b_1 \) or \( b_2 \) percent respectively." - **Option C:** "For every increase of \( b_1 \) units of log \( X_1 \) or \( b_2 \) units of log \( X_2 \), the value of % change in Y will increase by one unit." - **Option D:** "Holding constant the other variables, for every one percent decrease in \( X_1 \) or \( X_2 \), the value of Y increases by \( b_1 \) or \( b_2 \) percent respectively." This text is arranged as a set of statements likely related to regression analysis or econometrics, where changes in the independent variables (\( X_1 \), \( X_2 \)) potentially affect the dependent variable (Y). Each statement makes a different claim about the nature of these relationships.
Transcribed Image Text:**Transcription and Explanation:** The image presents a set of multiple-choice responses related to changes in variable Y as influenced by variables \( X_1 \) and \( X_2 \). The responses involve interpreting percentage changes and logarithmic changes in these variables. - **Option A:** "For every decrease of one unit of % change in Y, holding \( b_0 \) constant, the estimated change in log \( X_1 \) or log \( X_2 \) is \( b_1 \) or \( b_2 \) units respectively." - **Option B:** "Holding constant the other variables, for every one percent increase in \( X_1 \) or \( X_2 \), the value of Y increases by \( b_1 \) or \( b_2 \) percent respectively." - **Option C:** "For every increase of \( b_1 \) units of log \( X_1 \) or \( b_2 \) units of log \( X_2 \), the value of % change in Y will increase by one unit." - **Option D:** "Holding constant the other variables, for every one percent decrease in \( X_1 \) or \( X_2 \), the value of Y increases by \( b_1 \) or \( b_2 \) percent respectively." This text is arranged as a set of statements likely related to regression analysis or econometrics, where changes in the independent variables (\( X_1 \), \( X_2 \)) potentially affect the dependent variable (Y). Each statement makes a different claim about the nature of these relationships.
Consider the regression equation \( \log \hat{Y}_i = \log 3.16 + 0.9 \log X_{1i} + 1.53 \log X_{2i} \). a. Predict the value of \( Y \) when \( X_1 = 8.2 \) and \( X_2 = 5.7 \). b. Interpret the meaning of the regression coefficients \( X_1 \) and \( X_2 \).
Transcribed Image Text:Consider the regression equation \( \log \hat{Y}_i = \log 3.16 + 0.9 \log X_{1i} + 1.53 \log X_{2i} \). a. Predict the value of \( Y \) when \( X_1 = 8.2 \) and \( X_2 = 5.7 \). b. Interpret the meaning of the regression coefficients \( X_1 \) and \( X_2 \).
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