CPS 4 solutions University of Southern California ECON 318
0 view 0 purchase
Course
ECON 318 Introduction to Econometrics
Institution
ECON 318 Introduction To Econometrics
Data: Ramanathan 4-4, demand for bus travel.
1- Use method of OLS to estimate the parameters of the following model:
BUSTRAVL = β0+ β1FARE+ β2GASPRICE+ β3INCOME+ β4POP+ β5DENSITY+ β6LANDAREA+u
a. Do parameter estimates have the expected sign? Explain
Model 1: OLS, using observations 1-40...
Mean dependent var 1933.175 S.D. dependent var 2431.757
Sum squared resid 18213267 S.E. of regression 742.9113
R-squared 0.921026 Adjusted R-squared 0.906667
F(6, 33) 64.14338 P-value(F) 8.92e-17
Yes, all parameters have the correct sign;
As fares increase bus travel decreases (law of demand).
Increase in gas prices make bus travel relatively cheaper than driving.
Since bus travel is an inferior good, increase in income leads to less bus travel.
Increase in population leads to more bus travel.
Areas with high population density have more traffic congestions that make bus travel more efficient than
driving.
In metropolitan areas with large land area bus travel is time consuming hence driving becomes more
efficient.
b. Test for significance of POP at 1%. Show your work
H0: β4=0
H1: β4≠0,
Test statistic t=1.71/.23=7.397 with P-value=0.0000000169. So we reject the null.
c. Manually calculate SSR
Under ADD tab, define a new variable
ŷ= 2744-238.65FARE+ 533.11GASPRICE-0.194INCOME+1.71POP+0.116DENSITY-1.15LANDAREA
Then find sum(BUSTRAVEL-ŷ)2, it will be the same as SSR=18213267
This study source was downloaded by 100000850872992 from CourseHero.com on 02-21-2023 20:41:28 GMT -06:00
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller ExamsConnoisseur. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.99. You're not tied to anything after your purchase.