di invttail(99,0.025)1.984217
Final Practice
Practice exercises come from Analysis of Economics Data (2022) by Colin Cameron. Exercises appear at the end of each chapter. Answers to odd exercises appear at the end of the textbook. Answers to even exercises appear below. These questions have been selected to help prepare you for the final.
Chapter 1:
Q2
Q3
Chapter 2:
Q2
Q9
Q12
Chapter 3:
Q3
Q5
Chapter 4:
Q9
Q10
Chapter 5:
Q9
Q10
Chapter 6:
Q1
Q10
Chapter 7:
Q5
Q13
Chapter 9:
Q3
Q5
Chapter 10:
Q11 (not parts d, e)
Q14 (not part d)
Chapter 11:
Q5
Q13
Chapter 12:
Q1 (not part c)
Q21
Q23
Chapter 14:
Q1
Q7
Chapter 15:
Q1 (not parts b, e)
Q3 (not part b)
Numerical, cross-section
Categorical (y/n), time series
Numerical, cross-section
Numerical, time series
Numerical, panel
\(\sum_{i=1}^62 = 2\times6=12\)
\(\sum_{i=1}^4\frac2i=\frac21 + \frac22 + \frac23 + \frac24 = 2+1+0.5+0.\overline{66}=4.1\overline{66}\)
\(\sum_{i=1}^33i^3=3+(3\times2^3)+(3\times3^3)=108\)
\(\sum_{i=4}^6i=4+5+6=15\)
\(\sum_{i=1}^4(5+2i)=5\times4+2(1)+2(2)+2(3)+2(4)=40\)
Positive skew
Positive skew
Not enough information
Positive skew
\(80\pm\frac{60}{\sqrt{100}}\times t^*_{100-1,0.025}\)
di invttail(99,0.025)1.984217
\(80\pm\frac{60}{\sqrt{100}}\times1.98=(68.12,91.88)\)
\(r_{xy}=\frac{Cov(x,y)}{s_xs_y}=\frac{40}{\sqrt{400}\times\sqrt{16}}=0.5\)
\(b_2=\frac{Cov(x,y)}{Var(x)}=\frac{40}{400}=0.1\)
\(s_x,s_y=1\rightarrow b_2=r_{xy}\frac{s_y}{s_x}=r_{xy}\times1\rightarrow b^{standardized}_2=0.5\)
True
False
True
False
True
True