Problem 2 Endogeneity Suppose you are interested in how social media usage affects students' academic performance. Consider the following model: GPA; = ßo + ß₁Social Media Hours; + ɛ; where GPA, is the grade point average of a student and Social Media Hours; measures how many hours the student spends on social media every week. Each student is denoted by the subscript i. a. What is the dependent variable Y in this setting? What is the independent variable X in this setting? (4 points) b. What does Bo C. What does ẞ1 = 3 mean? (2 points) = 0.2 mean? (3 points) d. What is the condition for the independent variable Social Media Hours; to be endogenous? (5 points) e. Is the independent variable likely to be endogenous? Why or why not? (3 points) f. If yes, describe a scenario where the independent variable is endogenous. (3 points)

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
ChapterA: The Use Of Mathematics In Principles Of Economics
Section: Chapter Questions
Problem 1RQ: Exercise A1 Name three kinds of graphs and briefly state when is most appropriate to use each type...
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Problem 2
Endogeneity
Suppose you are interested in how social media usage affects students' academic
performance. Consider the following model:
GPA; = ßo + ß₁Social Media Hours; + ɛ;
where GPA, is the grade point average of a student and Social Media Hours; measures
how many hours the student spends on social media every week. Each student is denoted by
the subscript i.
a.
What is the dependent variable Y in this setting? What is the independent variable X
in this setting? (4 points)
b. What does Bo
C. What does ẞ1
= 3 mean? (2 points)
= 0.2 mean? (3 points)
d. What is the condition for the independent variable Social Media Hours; to be
endogenous? (5 points)
e. Is the independent variable likely to be endogenous? Why or why not? (3 points)
f. If yes, describe a scenario where the independent variable is endogenous. (3 points)
Transcribed Image Text:Problem 2 Endogeneity Suppose you are interested in how social media usage affects students' academic performance. Consider the following model: GPA; = ßo + ß₁Social Media Hours; + ɛ; where GPA, is the grade point average of a student and Social Media Hours; measures how many hours the student spends on social media every week. Each student is denoted by the subscript i. a. What is the dependent variable Y in this setting? What is the independent variable X in this setting? (4 points) b. What does Bo C. What does ẞ1 = 3 mean? (2 points) = 0.2 mean? (3 points) d. What is the condition for the independent variable Social Media Hours; to be endogenous? (5 points) e. Is the independent variable likely to be endogenous? Why or why not? (3 points) f. If yes, describe a scenario where the independent variable is endogenous. (3 points)
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