Generate a scatter plot, Advanced Statistics

Assignment Help:

Suppose we estimate the following model:

Passengersi = 1 + 2Populationi + ui

a) Generate a scatter plot with passengers on the vertical axis and population on the horizontal axis. Do you see a reason to be concerned about heteroscedasticity? Present your graph with your answer.

b) Can you come up with a story that could explain why variation of the error term might be increasing with population? (It should make at least some sense.)

c) Perform Goldfeld-Quandt test to see if there is heteroscedasticity of this speci c form. To do this, estimate the model using the 36 lowest and 36 highest populated airports separately, and use the sum of squared residuals from these regressions. Don't forget to sort the data by population rst! Make sure to state clearly your null and alternative hypotheses, test statistic, critical value, and decision.

Now suppose we estimate the following model instead:

Passengersi = 1 + 2Populationi + 3Incomei + ui

a) Test this model for heteroscedasticity using White's test. Make sure that your answer includes the following:

- Null and alternative hypotheses
- Test statistic (copy from the Stata output)
- Critical value (you may also use the p-value from Stata output)
- Decision (heteroscedasticity or no heteroscedasticity)

b) Estimate the model with heteroscedasticity-robust standard errors using White's method. Include your Stata output for this regression.


Related Discussions:- Generate a scatter plot

Describe prior distribution, Prior distributions : The probability distribu...

Prior distributions : The probability distributions which summarize the information about a random variable or parameter known or supposed at a given time instant, prior to attaini

Independent component analysis (ica), Independent component analysis (ICA) ...

Independent component analysis (ICA) is the technique for analyzing the complex measured quantities thought to be mixtures of other more fundamental quantities, into their fundamen

Whites general heteroscedasticity test, The Null Hypothesis - H0:  γ 1 = γ...

The Null Hypothesis - H0:  γ 1 = γ 2 = ...  =  0  i.e.  there is no heteroscedasticity in the model The Alternative Hypothesis - H1:  at least one of the γ i 's are not equal

Explain remedian, Remedian: The robust estimator of location which is comp...

Remedian: The robust estimator of location which is computed by an iterative process. By assuming that the sample size n can be written as bk where b and k are the integers, the s

Lagrange multipliertest, The Null Hypothesis - H0:  There is autocorrelatio...

The Null Hypothesis - H0:  There is autocorrelation The Alternative Hypothesis - H1: There is no autocorrelation Rejection Criteria: Reject H0 (n-s)R 2 > = (1515 - 4) x (0.

O''brien''s two-sample tests, O'Brien's two-sample tests are the extension...

O'Brien's two-sample tests are the extensions of the conventional tests for assessing the differences between treatment groups which take account of the possible heterogeneous nat

Group divisible design, Group visible design is an arrangement of the v mn ...

Group visible design is an arrangement of the v mn treatments in b blocks such that: * Each block comprises k distinct treatments k5v; * Each treatment is replicated r number

Define informed consent, Informed consent: The consent needed from each po...

Informed consent: The consent needed from each potential participant former to random assignment in the clinical trial as speci?ed in the year 1996 version of Helsinki declaration

Collector''s problem, Collector's problem : A problem which derives from th...

Collector's problem : A problem which derives from the schemes in which packets of a particular brand of coffe, cereal etc., are sold with coupons, cards, or other tokens. There ar

Scatter plots, The scatter plot of SRES1 versus totexp demonstrates that th...

The scatter plot of SRES1 versus totexp demonstrates that there is non-linear relationship that exists as most of the points are below and above zero. The scatter plot show that th

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd