M.A. (Economics) Part I Sem I 2017 18 Jan 2017-18 ECONOMICS STATISTICAL METHODS IN ECONOMICS Question Paper - Mumbai University | munotes

Questions asked in this paper

• 2. Figures to the right indicate full marks assigned to each question

1. Q3 Only simple calculator is allowed
2. Q1 Answer any two of the following questions : 15 marks
   • a) 1) Explain the concepts of mean and variance of random variable with example Suppose the given universal set : (04)
   • b) 1) Suppose x = {1,0,0,1,1,0,1,0} stands for the outcome of a geometric (3.5) random variable, where ‘1’ stands for ‘success’ and ‘0’ stands for ‘failure’ as per given information, probability of success is 0.4. Find out
   • ii) Suppose, two unbiased coines are tossed together. Consider X is a random variable which denotes number of tails appeared. Find out mean.and variance 4
   • c) Suppose, two dice are thrown together and x denotes the sum of the numbers on the uppermost surface of the two dice. Find out mean and variance of X
3. Q2 Answer any two of the following questions : 15 marks
   • a) Explain the following three concepts with example : (7.5)
4. Q1 Null and Alternative hypothesis
   • b) Suppose X denotes ‘IQ’ score of students and X follows normal distribution with (7.5) and o = 20. Find percentage of the students who are going to have IQ score between 80 and 120
5. Q1 Suppose, you are given the following sample of randomly chosen value of X (3.5) from.a normally distributed population : Could this sample have come from a population with variance 70? What would be your conclusion 21.0, 1 =
   • ii) Discuss Central Limit Theorem. A4831R ECONOMICS: STATISTICAL METHODS IN ECONOMICS 4
   • Q.P. Code : 28344
6. Q3 Answer any two of the following questions : 15 marks
   • a) Consider the following estimated investment function : (Figures in the parenthesis represents the respective standard errors of the
7. Q1 Explain the relationship between I and r and interpret the estimated value of (3.5) intercept and slope coefficient li) Calculate the values of ‘t,’ and ‘t,’ with the help of given estimated (04)
   • b) i) Calculate using the following information : (3.5)
   • ii) Calculate adjusted using the following information : 4
   • c) Consider the following regression model : (7.5) Calculate the value of and using the following data :
8. Q4 Answer any two of the following questions : 15 marks
   • a) 1) Briefly explain the concept of Heteroskedasticity with example. What are its (3.5) consequences in Linear Regression Model? Calculate Goldfeld-Quandt’s test statistic and conclude your result in (04) determine the problem of Heteroskedasticity with the help of following data:
   • b) it) Explain Autocorrelation problem with example and state its consequences (3.5) Calculate Durbin-Watson (DW) test statistic and conclude the result in order (04) to determine the problem of autocorrelation :
9. Q1 Discuss the problem of Multicollinearity & its consequences. (3.5) il) Suppose r,,denotes correlation coefficients between x, and x,. Calculate (04) Variance Inflating Factor (VIF) with the help of following data : A4831R ECONOMICS: STATISTICAL METHODS IN ECONOMICS
   • Q.P. Code : 28344
10. Q1 Sat ferer : 15 marks
    • i) (mean) (variance) (3.5)
    • i) x = & (Geometric) (3.5)
11. Q2 att Sat 15 marks
    • a) da (7.5)
    • i) (Null and Alternative hypothesis) A4831R ECONOMICS: STATISTICAL METHODS IN ECONOMICS
    • Q.P. Code : 28344
12. Q3 ala 15 marks
13. Q1 Years (3.5)
    • ii) 4
    • ii) (adjusted) : A4831R ECONOMICS: STATISTICAL METHODS IN ECONOMICS 4
    • Q.P. Code : 28344
    • i) sat card (3.5)
    • ii) x, x, 4

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