M.A. (Economics) Part I Sem I 2018 19 Jun 2018-19 M. A Economics Statistical Methods In Economics Question Paper - Mumbai University | munotes

Questions asked in this paper

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

1. Q3 Only simple calculator is allowed
2. Q1 any two of the following questions: 15 marks
   • a) 1) Define Mean and Variance of a Random Variable. Give Example. (3.5) Suppose the given Universal Set: (04) Find out: 1) P (AUB), 2) P(ANB), 3) and 4)
   • b) 1) Suppose 1, 1,0, 1} stands for the outcome of a geometric random (3.5) variable, where' 1' stands for 'success' and '0' stands for 'failure' and as per given information, probability of success is 0.3. Find out P(X)
   • ii) Explain the concept of "Law of Large Numbers". 4
   • c) Suppose two dice are thrown together and X denotes the sum of the numbers appeared on the (7.5) uppermost surface of the two dice. Find out mean and variance of X
3. Q2 any two of the following questions: 15 marks
   • a) Explain the following three concepts with example: (7.5)
   • i) One tailed and Two tailed test Null and Alternative Hypothesis
   • b) Consider the following sample of randomly chosen value of X from a normally distributed (7.5) Could this sample have come from a population with variance 50? What would be your [Tabulated value: x? and x? = 23.3]
   • c) 1) Discuss the concept of "Central Limit Theorem". (3.5) Suppose X score of students and X follows normal distribution with (04) 100 and o = 25. Find out percentage of the students who belong to IQ score range
4. Q3 Answer any two of the following questions: 15 marks
   • a) Consider the following estimated Consumption equation: (Figures in the parenthesis represents the respective standard errors of the estimated Paper Subject Code: 73481 Economics: Statistical Methods in Economics Where C denotes Consumption expenditure and Y denotes Income of an individual
   • i) Explain the relationship between C and Y and interpret the estimated value of intercept (3.5) and slope coefficient
   • ii) Calculate the values of and ‘ts’ with the help of given information. 4
   • b) i) Calculate R* using the following information: (3.5)
   • ii) Calculate adjusted R? using the following information: 4
   • c) Consider the following regression model: + BX and calculate value of and using the (7.5) any two of the following questions: (15)
   • a) 1) Briefly explain Autocorrelation problem with example and state its consequences in Linear (3.5)
   • ii) Calculate Durbin-Watson (DW) test statistic and conclude the result in determine the problem of autocorrelation: 4
   • b) 1) Discuss the concept of Heteroscedasticity with example. What are its consequences (3.5) Calculate Goldfeld - Quandt's test statistic and conclude your result in order to (04) determine the problem of Heteroscedasticity with the help of following data:
5. Q1 Explain the problem of Multicollinearity and its consequences in Linear Regression (3.5) Suppose denotes correlation coefficients between X2. Calculate Variance (04) Inflating Factor (VIP) with the help of following data: Paper Subject Code: 73481 Economics: Statistical Methods in Economics
   • ii) (0%)
   • i) WAST, X = {%, 0, 0,0, 2} (Geometric)
   • ii) St (0%)
   • i) (One Tailed and Two Tailed Test) ili) (Null Hypothesis and Alternative Hypothesis) Paper Subject Code: 73481 Economics: Statistical Methods in Economics
   • ii) tg (0%)
   • ii) (Adjusted R* )
   • i) (Auto Correlation) (3.4) Paper Subject Code: 73481 Economics: Statistical Methods in Economics
   • ii) Quandt’s)
   • ii) (0%)

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