Answer any 5 of the following A through F:
A) Briefly explain in words how diplomatic parking fines can be used to predict the level of corruption in a nation. Also, write the econometric model used to make this prediction.
B) Define psychometrics.
C) Explain why minimizing the squared error terms is the premier method for fitting a line between observations considering that other options are available.
D) Give 3 distinct reasons why a student may not reduce their study time given the information in the box on the right. $\mathrm { GPA } _ { \mathrm { i } } = 3.1 + 0.02 \mathrm { ST } _ { \mathrm { i } } + \mathrm { e } _ { \mathrm { i } }$
(0.14) (0.08) $\leftarrow$ standard errors
where GPA is grade point average
ST is hours of study time on a typical day.
$$\mathrm { r } ^ { 2 } = 0.0002 \quad \mathrm { n } = 289$$
E) Prove
$\Sigma \left( X _ { i } - \bar { X } \right) ^ { 2 } = \Sigma X _ { i } { } ^ { 2 } - n \bar { X } ^ { 2 }$ F.
F. Prove
$\Sigma \left( Y _ { i } - \bar { Y } \right) = 0$

Question

Answer any 5 of the following A through F:
A) Briefly explain in words how diplomatic parking fines can be used to predict the level of corruption in a nation. Also, write the econometric model used to make this prediction.
B) Define psychometrics.
C) Explain why minimizing the squared error terms is the premier method for fitting a line between observations considering that other options are available.
D) Give 3 distinct reasons why a student may not reduce their study time given the information in the box on the right. $\mathrm { GPA } _ { \mathrm { i } } = 3.1 + 0.02 \mathrm { ST } _ { \mathrm { i } } + \mathrm { e } _ { \mathrm { i } }$
(0.14) (0.08) $\leftarrow$ standard errors
where GPA is grade point average
ST is hours of study time on a typical day.
$$\mathrm { r } ^ { 2 } = 0.0002 \quad \mathrm { n } = 289$$ 
E) Prove 
 $\Sigma \left( X _ { i } - \bar { X } \right) ^ { 2 } = \Sigma X _ { i } { } ^ { 2 } - n \bar { X } ^ { 2 }$ F. 
F. Prove 
 $\Sigma \left( Y _ { i } - \bar { Y } \right) = 0$

Quizplus · Accepted Answer

The Answer is A) When diplomats rack up parking fines and don't pay them it may be a marker for the level of corruption in their home country. Diplomats from corrupt countries rack up more parking fines than those from less corrupt countries.
Level of Corruption_i =

\hat { \beta } _ { 0 }

+

\hat { \beta } _ { 1 }

unpaid parking fines per diplomat_i + e_i
B) The empirical determination of psychological laws.
C) This technique yields 1) a unique line that has 2) desirable statistical qualities.
D) 1) The variables may be poorly measured.
2) Other factors aside from study time may come into play.
3) These results are for typical students and I'm not typical.
E)

\Sigma \left( X _ { i } - \bar { X } \right) ^ { 2 } = \Sigma \left( X _ { i } - \bar { X } \right) \left( X _ { i } - \bar { X } \right) = \Sigma X _ { i } { } ^ { 2 } - \bar { X } \Sigma X _ { i } - \bar { X } \Sigma X _ { i } + n \bar { X } ^ { 2 } = \Sigma X _ { i } ^ { 2 } - \bar { X } \Sigma X _ { i } = \Sigma X _ { i } { } ^ { 2 } - n \bar { X } ^ { 2 }

F)

\Sigma \left( Y _ { i } - \bar { Y } \right) = \Sigma Y _ { i } - \Sigma \bar { Y } = n \bar { Y } - n \bar { Y } = 0

Answer Any 5 of the Following a Through F: A) GPAi=3.1+0.02STi+ei\mathrm { GPA } _ { \mathrm { i } } = 3.1 + 0.02 \mathrm { ST } _ { \mathrm { i } } + \mathrm { e } _ { \mathrm { i } }GPAi​=3.1+0.02STi​+ei​

Answer Any 5 of the Following a Through F:
A) $\mathrm { GPA } _ { \mathrm { i } } = 3.1 + 0.02 \mathrm { ST } _ { \mathrm { i } } + \mathrm { e } _ { \mathrm { i } }$