1.Suppose you are commissioned by the CDC to investigate the role of some key socio-economic factors that may be impacting the death rate due to COVID-19. What will be a Regression Model that you can express. Please write that model and explain why the variables you chose may be of any interest. How would you know that your model and the results from your data analysis has any relevance? How would you perform any Hypothesis test to validate your arguments?

(Hint: Basic Understanding of setting up of Multiple linear Regression Analysis)

2.Two groups of independent researchers have studied the samples for patients who took a certain type of COVID-19 Vaccines (say, group 1 took Vaccine A; and Group 2 took Vaccine B); Of those who took Vaccine A, it is found that mean number of positive test results from Group A is 21 with a standard deviation of 3; and the mean number of positive test results from Group B is 19 with a standard deviation of 4. The Sample Size from either group was 330 adult male.

Based on this information Can you testify that Vaccine B is more effective against the COVID-19 Disease?

You may look up the appropriate Z stat or T-stat from any website.

You may also read up on the ANOVA, in case there are more than 2 separate groups.

3.CigaConsm = 14.5 + 0.05 LnInc + 0.75LnCigPr. + 0.025LnExcTax - 0.034Gender

T-stats: (2.90) (1.30) (1.25) (2.40) (-1.27)

Where CigaConsm represents cigarette consumption in millions of boxes per year in a given state; Inc is median household income of the State; Cigpr is cigarette price per pack; Exctax is Excise tax per pack of Cigarette, and Gender is the Dummy variable designating if the state has 50% or more female.

R-Square = 0.92 T-Critical: 1.96 at 46 degrees of freedom; n (sample size) = 51.

1. Interpret the Estimated parameters
2. If price of Cigarette were to increase by 10%, some may claim that the consumption will go down by 20%; Are they right? Why or Why not?
3. Suppose it is argued that Female in general smoke less than Male, Do you agree or disagree? Why?
4. In the state of Wyoming median Income per-capita is $47,000, A pack of cigarette is sold at $6.0 and the Excise tax per pack is $1.50. How many packs of cigarette are consumed every year?
5. If the legislatures in the State of Wyoming decide to increase the Excise Tax rate by 20% from its present rate, $1.50 per pack, then their Tax revenue from Cigarette alone will go up by 25%. Do you agree or disagree? Why? What would be the correct amount of Revenue increase given that the price per pack of Cigarette in Wyoming is $6.50 and they sell about 5 million packs a year.
6. Is there any problem in this estimated Regression? If so, name a few.

4. Given historical data (e.g., past 20 years of quarterly data) on Tax revenue in the State of TN, how can you determine whether this year's (2021) tax revenue will be same as that of last year or more? Outline the process of your forecasting. (Discuss how may select the Optimal Lag structure; the accuracy of your forecasts, etc.)

ABOVE ARE SAMPLE QUESTIONS FROM PAST YEARS. YOUR TEST WILL CLOSELY RESEMBLE THIS SAMPLE TEST.