Loyola College Question Paper 2004
Loyola College B.Com Nov 2004 Retail Marketing Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.Com, DEGREE EXAMINATION – COMMERCE
SIXTH SEMESTER – APRIL 2004
CO 6603/C 603 – RETAIL MARKETING
14.04.2004 Max:100 marks
1.00 – 4.00
SECTION – A
Answer ALL questions (10 ´ 2 = 20 marks)
- What is Scrambled merchandising?
- What is intertype competition in retailing?
- State the 3 most important factors which have led to Globalization of Retailing.
- Who is a category specialist?
- What is a home improvement centre.
- Who is an Off-Price Retailer?
- What is a Hyper – market?
- What is electronic retailing?
- What is catalog retailing?
- What when does the customer’s buying process begin?
SECTION – B
Answer any FIVE questions (5 ´ 8 = 40 marks)
- Write notes on and discuss the issues involved in the following:
- Conventional supermarket b) Corporate retail chains c) franchising
- What are the key factors which contribute to success in electronic retailing?
- The 3 types of customers decision – making processor in their buying behaviour are:
- Extended problem solving b) Limited problem solving
- Habitual decision – making – Explain these 3.
- Write a detailed note on all the dimensions of the following types of retail locations:
- Central business district b) Shopping centres
- What is assortment planning process in the context of merchandise management?
- Write short notes on:
- A free-standing site b) Kiosks c) Mixed use developments
- Non-traditional locations
- a) What is a Price mark-down?
- b) When should a retailer take mark downs?
- c) What do you understand by size an duration of mark down period?
- d) Enumerate the methods to liquidate marked- down merchandise.
- Explain the following customer- service strategies:
- Customization approach
- Standardization approach
SECTION – C
Answer any TWO questions (2 ´ 20 = 40 marks)
- What are the stages planning the retail communication program?
- a) What do you understand by store atmospherics?
- b) Explain the character and significance of the following in creating good atmospherics
- Visual communication Lighting 3. Color 4. Music
- Write notes on the following:
- a) Manufacturers Brands b) Licensed Brands c) Private Label Brands
- d) Private Label Options.
Loyola College B.Com Nov 2004 Marketing Research Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.Com, DEGREE EXAMINATION – COMMERCE
SIXTH SEMESTER – APRIL 2004
CO 6602/COM 602 – MARKETING RESEARCH
07.04.2004 Max:100 marks
1.00 – 4.00
SECTION – A
Answer ALL questions in not more than 3 lines each (10 ´ 2 = 20 marks)
- State any 3 advantages of secondary data.
- State any 3 advantages of the multiple – choice question.
- What are the components of Advertising Research?
- What are the main dimensions of product Research?
- What are the main purpose for which sales analysis is fused?
- What are Ecological Impact Studies in the context of Marketing Research?
- State any 4 characteristics of an efficient marketing Research output.
- What is field experimentation?
- Briefly define the observation method of data collection.
- Briefly explain the 3 conditions needed for effective observation.
SECTION – B
Answer FIVE questions in not more than 2 pages each (5´ 8 = 40 marks)
- What are the advantages and disadvantages of the questionnaire method of data collection.
- Write a note on mechanical data collection instruments.
- Explain how the Before – After without control experimental design is used. What are its strengths and weakness?
- What are the steps to be taken to conduct an effective interview?
- How is secondary data evaluated?
- Write note on the scope of marketing research.
- Explain the following types of observation.
- Contrived (b) Indirect (c) Mechanical
- a) What is Focus group discussion?
- What are its chief dynamics?
- Explain the key factor for its sources.
SECTION – C
Answer TWO questions in not more than 4 pages each (2 ´ 20 = 40 marks)
- Explain the stages in the marketing research process.
- Explain the 4 types of questioning methods in terms of structure and design. Also highlight each one’s strength and weakness.
- What are the steps in research report writing?
Loyola College B.Com Nov 2004 Insurance Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.Com, DEGREE EXAMINATION – COMMERCE
FIFTH SEMESTER – APRIL 2004
CO 5400/COM 400 – INSURANCE
17.04.2004 Max:100 marks
1.00 – 4.00
SECTION – A
Answer ALL questions (10 ´ 2 = 20 marks)
- Give the contractual definition of Insurance.
- What is meant by Liability Insurance?
- What is Lloyd’s Association?
- What is the role of Employees State Insurance Corporation?
- What is deposit Insurance Corporation?
- What is meant by insurable interest.
- Is insurance a gamble.
- Distinguish Assignment from Nomination.
- What is Hall insurance?
- What is LIVESTOCK insurance?
SECTION – B
Answer any FIVE questions (5 ´ 8 = 40 marks)
- Explain the various kinds of Motor Insurance policies.
- What are the uses of Fire Insurance?
- Discuss the various type of Marine perils.
- Explain the Principles of investments under Insurance.
- What are the differences between Fire Insurance and Marine Insurance.
- Discuss the uses of Insurance to an individual.
- Write a note on Types of Insurance organization in India.
- What are the differences between Anmity contracts and life Insurance polices.
SECTION – C
Answer any TWO questions (2 ´ 20 = 40 marks)
- Explain the essential features of Insurance contract.
- Describe the various clauses of marine policy.
- Write an essay on various kinds of Fire Insurance polices.
Loyola College B.Com Nov 2004 Creative Advertising Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.com., DEGREE EXAMINATION – COMMERCE
SIXTH SEMESTER – APRIL 2004
CO 6600 – CREATIVE ADVERTISING
02.04.2004 Max:100 marks
1.00 – 4.00
SECTION – A
Answer ALL questions (10 ´ 2 = 20 marks)
- Who is called the Sponsor? How is he different from Author?
- What are the literary forms of message being used in advertising?
- What are the effects of Ad. Message expected?
- What is the Credibility of the Source?
- What is Creativity? Give an example.
- Differentiate Rational appeal from emotional appeal.
- What is meant by Synthesis?
- What is Perception?
- What is Body copy?
- Give the functional definition of advertising and state the important elements in it.
SECTION – B
Answer any FIVE questions (5 ´ 8 = 40 marks)
- What are the various types of Headlines? Explain each.
- An Ad. Agency wants to develop an Ad. for newly designed Two wheeler meant for women-folk and plans to use star appeal, which celebrity would you choose and why?
- What is effective creativity and why is it important in advertising?
- Explain the two major tasks involved in the effective use of visuals.
- What is Layout and explain the various stages in the layout process.
- Explain the various functions of advertising.
- What is meant by Consumer Behaviour and explain the part played by interpersonal factors and non-personal factors in consumer decisions making process?
- Explain the Qualities of Creative thinkers.
SECTION – C
Answer any TWO questions (2 ´ 20 = 40 marks)
- Explain the Ad. Exposure Model and its significance in advertising.
- Why is it important to understand the basic elements of principles of design? Explain the importance of each element and principle design for Print copy.
- Develop an effective creative idea for a ‘HERO HONDA DAWN’ in the light of the stages of Creative process. Specify clearly your developed idea.
Loyola College B.Com Nov 2004 Cost Accounting Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.com., DEGREE EXAMINATION – COMMERCE
FIFTH SEMESTER – APRIL 2004
CO 5501/COM 506 – COST ACCOUNTING
06.04.2004 Max:100 marks
1.00 – 4.00
SECTION – A
Answer ALL questions (10 ´ 2 = 20 marks)
- State whether the following statements are true or false.
- Cost Accounting is a branch of financial Accounting.
- Bin card is the same as stores ledger.
- Valuation of closing stock is same under FIFO and LIFO.
- Abnormal idle time wages are included in the cost of production.
- Distinguish between idle time and idle capacity.
- Distinguish between time-keeping and time-booking
- What is machine hour rate?
- What is the relevance of ‘escalation clauses’ provided in contracts?
- What is Economic Batch Quantity.
- Distinguish between joint product and by – products.
- What is operation costing?
- What is just in time of inventory management?
- Explain Halsey incentive plan.
SECTION – B
Answer any FIVE questions (5 ´ 8 = 20 marks)
- What is labour Turnover? What are its causes and Explain the effects of labour Turnover.
- What is ABC Analysis? Describe its advantages.
- “Cost Accounting is an unnecessary Luxury for business establishments”. Do you agree with the statement.
- A consignment consisted of two chemicals A and B.
The invoice gave the following data:
Rs.
Chemical A 4000 1bs. @ Rs.2.5 per lb 10,000
Chemical B 3200 1bs. @ Rs.3.25 per lb 10,400
Sales Tax 816
Railway freight 384
———
21,600
———
A shortage of 200 lbs in A and 128 lbs. in B was noticed due to breakage’s. What
stock rate would you adopt for pricing issue assuming a provision of 5% toward
further deterioration?
- In a factory group Bonus system is in use which is calculate on the basis of earnings under time rate. The following particulars are available for a group of 4 workers P,Q, R, and S.
- Output of the Group 16000 units
- Price rate per 100 units Rs.2.50
- No of hours worked by P-90; Q-70; R-80; S-100
- Time rate per hour for P – Re. 0.80, A-Re. 1.00, R- Rs. 1.20, S – Re. 0.80
Calculate total wages and bonus earned by each worker.
- The following particulars related to a contract undertaken by Ajit; Material sent to site Rs.85,349; labour engaged on site Rs.74,375; plant installed at cost Rs.15,000; Direct expenditure Rs.3,167; Establishment charges Rs. 4,126; Materials returned to stores Rs.549; work certified Rs.1,95,000; cost of work not certified Rs.4,500; Materials in hand at the end of the year Rs.1,883; wages accrued due at the end Rs.2,400; Direct expenditure accrued due at the end Rs.240; Value of plant at the end of the year Rs.11,000; The contract price has been agreed at Rs.2,50,000; cash received from the contractor was Rs.1,80,000.
You are required to prepare contract A/c showing profit.
- Ahuja runs a tempo service in the town and has two vehicle. He furnishes you the following data and want’s you to compute the cost per running mile:
vehicle A Vehicle B
Rs. Rs.
Cost of vehicle 25000 15000
Licensee per year 750 750
Salary p.a 1800 1200
Drivers wages per hour 4 4
Cost of fuel per litre 1.50 1.50
Repair and maintenance per mile 1.50 2.00
Tyre cost per mile 1.00 0.80
Garage rent p.a 1600 550
Insurance premium p.a 850 500
Miles run per litre 6 5
Mileage run during the year 15000 6000
Estimated life of vehicles 100000 miles 75000 miles
Charge interest at 10% p.a on the cost of vehicle. The vehicles run 20 miles per hour
on an average.
- Following information to the manufacturing of a component X – 101 is a cost centre:
Cost of materials 6 paise per component
Operator’s wages 72 paise an hour
Machine hour rate Rs.1.50
Setting up time of the machine 2 hours 20 MINUTES
Manufacturing time 10 minutes per component.
Prepare cost sheet showing both products and setting up cost, total and per unit when a batch consist of ; a) 100 components b) 1000 components.
SECTION – C
Answer any TWO questions (2 ´ 20 = 40 marks)
- From the following particulars extracted from the books of r ltd for the month of June 1998, prepare the following,
- Statement of Equivalent Production
- Statement of cost
- Process Account
- Opening stock as on 1st June 200 units @ Rs.4.00 per unit.
Degree of completion Materials 100%
Labour and overheads 40%
- Inputs introduced during the month 1050 units.
- Output transferred to the next process 1100 units
- Closing stock 150 units
Degree of completion Materials 100%
Labour and overhead 70%
- Other relevant information.
Materials – Rs.3150; Labour – Rs.4500; Over head – Rs.2250.
- Sympionic Ltd has three production department XYZ and two service department A and B. The following estimated figures for a certain period have been made available:
Rs. Rs.
Rent and Rates 10,000 Power 3,000
Lighting and electricity 1,200 Depreciation of machinery 20,000
Indirect wages 3,000 other expense 20,000
following are the further details available.
X Y Z A B
Floor space (Sq.fts) 2000 2500 3000 2000 500
light points (Nos) 20 30 40 20 10
Direct wages (Rs) 6000 4000 6000 3000 1000
Hours power of machine 120 60 100 20 –
cost of machinery (Rs.) 24000 32000 40000 2000 2000
working hours 4670 3020 3050 – –
The expense of the service department A and B are to be allocated as follows:
X Y Z A B
A 20% 30% 40% – 10%
B 40% 20% 30% 10% –
you are required to calculate the overhead absorption rate per hour in respect of three production departments. What will be the total cost of an article with material cost of Rs.80 and labour cost of Rs.40 which passes through X, Y and Z for 2,3 and 4 hours respectively?
- The following figures have been extracted form the financial accounts of V ltd for the first year of its operation:
Rs.
Direct material consumption 50,000
Productive wages 30,000
Factory overheads 16,000
Administrative overheads 7,000
selling and distribution overhead 9,600
Bad debts written off 800
Preliminary expenses written off 400
legal charges 100
dividend received 1000
interest received on bank deposits 200
Sales (12000 units) 1,20,000
Closing stock:
Finished goods (400 units) 3200
work in progress 2400
The cost accounts for the same period reveal that direct material consumption was Rs.56,000. Factory overhead is recovered at 20% on prime cost. Administration overhead is recovered at 60 paise per unit of production, selling and distribution overheads at 80 paise per units sold.
Prepare profit and loss A/c to find out profit as per financial records and ascertain profit as per cost accounts. Also reconcile the profits as per the two records.
Loyola College B.Com Nov 2004 Business Statistics Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.com. DEGREE EXAMINATION – COMMERCE
THIRD SEMESTER – NOVEMBER 2003
ST – 3101/STA101 – BUSINESS STATISTICS
06.11.2003 Max:100 marks
9.00 – 12.00
SECTION-A
Answer ALL questions. (10×2=20 marks)
- Define statistic and state any two misuses.
- Mention any four one-dimensional diagrams.
- State a merit and a demerit of median.
- Provide any two properties of Arithmetic mean.
- For a moderately asymmetric distribution, find median when mean and mode are respectively 48 and 60.
- Depict ‘skewness’ and ‘kurtosis’ with the help of diagrams.
- If the regression coefficient of Y on X an X on Y are respectively 0.58 and0.65, Calculate the coefficient of correlation.
- From the following index number of prices, shift the base from 1987 to 1993 and recast the index numbers.
Year: 1987 1988 1989 1990 1991 1992 1993 1994
Index: 100 110 120 200 400 410 400 380
- Construct 5-yearly moving average:
Year: 1988 1989 1990 1991 1992 1993 1994 1995
No. of: 332 317 357 392 402 405 410 417
students
- Express an mxn transportation problem as a Linear programming Problem (L.P.P).
SECTION-B
Answer any FIVE questions. (5×8=40 marks)
- For the following data on heights of 150 students, construct Histogram and locate the mode from it:
Height (In cm): 120-130 130-140 140-150 150-160 160-170 170-180
No. of students: 18 30 40 33 17 12
- Find Geometric mean and Harmonic mean of the following frequency distribution:
C.I: 0-4 4-8 8-12 12-16 16-20
F: 6 10 16 10 8
- Compute rank correlation coefficient between Debenture price and share price of a company given the following data:
Debentures
Price: 79 81 83 85 87 87 89 92
Share
Price: 67 65 66 64 64 64 63 62
- The first four moments of a distribution about the value 3 are 2, 20, 40, 50. Find the first four central moments, b1 and b2 .
- Fit the equation Y = a + bX to the following data:
Year(x) : 1990 1991 1992 1993 1994 1995 1996
Sales(y): 32 47 65 88 132 190 275
Estimate sales for 1997.
- Explain the four components of a time series.
- a) Find Fisher’s Price index number given the following data:
Item Price (1985) Price (1986) Quantity (1985) Quantity (1986)
A 1 5 40 30
B 1 2 20 25
C 8 20 50 60
D 2 5 10 8
E 2 6 15 10
(b) Verify that Time Reversal Test is satisfied by Fisher’s index. (4+4)
- Solve Graphically:
Minimize Z = 20x1+ 40x2
subject to the constraints: 36x1 + 6x2 ³ 108
3x1 + 12x2 ³ 36
20x1 + 10x2 ³ 100
x1, x2 ³ 0
SECTION-C
Answer any TWO questions. (2×20=40 marks)
- a) From the data given below, find which series is more consistent:
X Series A Series B
FA FB
10-20 20 13
20-30 18 22
30-40 32 40
40-50 40 32
50-60 22 18
60-70 18 10
- Calculate Bowley’s coefficient of skewness for the following frequency distribution:
X: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
f: 10 25 20 15 10 35 25 10 (12+8)
- a) The following data relates to the intelligence test scores and the weekly sales of 9
salesmen.
Intelligence
Test Score (X): 70 40 80 50 80 60 50 60 50
Weekly sales
(Y): 60 50 70 30 60 50 40 60 30
Obtain the regression line of Y on X and estimate Y when X = 65. (12+8)
- b) Explain the problems involved in the construction of index numbers.
- Find the seasonal indices by Ratio to Trend method:
Year I II III IV
1993 30 40 36 34
1994 34 52 50 44
1995 40 58 54 48
1996 54 76 68 62
1997 80 92 86 82
- a) Solve the following Transportation problem:
Destination
Source 1 2 3 4 Availability
1 21 16 25 13 11
2 17 18 14 23 13
3 32 27 18 41 19
Requirement: 6 10 12 15 43
- b) These are 4 jobs A, B, C,D and these are to be performed on 4 machine centres I, II,
III,IV. One job is to be allocated to a machine centre, though each machine is capable of
doing any job, at different costs given by the matrix below:
I II III IV
Find the allocation of jobs to the machine centres so that the total cost of processing
is minimum. (10+10)
Loyola College B.Com Nov 2004 Auditing Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.Com, DEGREE EXAMINATION – COMMERCE
SIXTH SEMESTER – APRIL 2004
CO 6607/COM 607 – AUDITING
14.04.2004 Max:100 marks
1.00 – 4.00
SECTION – A
Answer ALL questions (10 ´ 2 = 20 marks)
- What is internal check?
- Name any two Administrative control system of a manufacturing concern.
- Define Auditing.
- Define Vouching.
- Distinguish between verification and valuation.
- What is contingent liability.
- What is Test checking?
- State the disqualification of an Auditor.
- What is Auditor’s opinion of disclaimer?
- Rectify the following errors.
- Anand proprietor bought a two wheeler valued Rs.30,000 for his personal use has been debited to general Expenses.
- Goods purchased from Mr. Lal Jain Rs.6,000 has been passed through Sales Returns book with Rs.600. But Mr. L. Jain’s A/c has been credited correctly.
SECTION – B
Answer any FIVE questions (5 ´ 8 = 40 marks)
- “It is nothing to the auditor whether the business is run prudently or imprudently, profitable or unprofitably” Do you agree? Give reasons for your answer.
- What is Audit note book? of what purpose does it serve? What are the contents of audit note book.
- “Teeming and Lading” – A challenge to vouching. What are the duties of an auditor in this respect?
- What are the points to which you would direct your attention, while accepting an appointment as an auditor of a company? State under what circumstances, an appointed auditor can be removed from his office?
- How would you as an auditor verify and what are the points to which you would pay attention while verifying the creditors balance and investments Accounts?
- What is Audit programme? Describe the advantages of audit programme by giving a specimen of an Audit programme.
- Under what circumstances an auditor can be appointed by the
- a) Board of Directors b) Central Government.
- Describe the Statutory contents of Auditor’s Report in accordance with the provisions of the companies Act 1956.
SECTION – A
Answer any TWO questions (2 ´ 20 = 40 marks)
- How would you as an auditor Examine the following
- a) Credit Sales b) Wages paid c) cash purchases d) Preliminary Expenses e) Deferred Revenue Expenditure.
- Explain the Rights and Duties of a company auditor as per the provisions of the companies Act.
- Explain is detail, the various objectives of Auditing is the light of legal pronouncements like “An Auditor is a watchdog and not a blood hound” -Lord Justice Lopes
and “He is not an insurer. He does not guarantee that the books do show the true
position of the company affairs” – Lord Justice Lindsey.
Loyola College B.A. Economics Nov 2003 Mathematics For Economics Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI– 600 034
B.A. DEGREE EXAMINATION – ECONOMICS
FIFth SEMESTER – NOVEMBER 2003
EC 5404 MATHEMATICS FOR ECONOMICS
12.11.2003 Max: 100 Marks
1.00 – 4.00
PART – A (5 ´ 4 = 20 Marks)
Answer any FIVE each carries FOUR marks.
- What is differential calculus?
- Find out the derivative of a function y = x2 .
- What is meant by partial differentiation? Give an illustration.
- For the utility function of two commodities U = (x1 – 2)2 (x2 +1)3 . Find the
marginal utility of x1 and x2 at x1= 3, x2 = 4.
- Define integral calculus.
- Solve .
- The marginal cost function of a firm in 100-10x + 0.1x2 where x is the output.
Obtain the total cost function of the firm when the fixed cost in Rs.500.
PART – B (4 ´ 10 = 40 Marks)
Answer any FOUR; each questions carries TEN marks.
- Differentiate the function: x3 y + y -2x = 0.
- Prove that the first order differentiation of the function ex is ex.
- If f(n) = x3 -5x2 + 7, find the second order derivative of f(x) and for that value of x does f 1(x) vanish?
- Examine the curve y = x3 for convexity.
- If the demand law is , find ed with respect to price at the point
where p =3.
- Integrate : .
- Find the area bounded by the parabola x2 = 4by, the x – axis and the ordinate at x =3.
PART – C (2 ´ 20 = 40 Marks)
Answer any TWO each carries TWENTY marks.
- Find the maximum and minimum values of the following function y = x3 -3x +1.
- Evaluate I = log x.dx.
- Max U = 48 -(x -5)2 -3 (y -4)2
s.t x+3y = 9 ” x, y b³ 0.
- Give the demand and supply functions and
Find the price of the quantity demanded and the consumer surplus.
Loyola College B.A. Economics April 2004 Select Constitution Of The World Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034
B.A DEGREE EXAMINATION – ECONOMICS
THIRD SEMESTER-APRIL 2004
HT 3100/ HIS 100 SELECT CONSTITUTION OF THE WORLD
19.04.2004
1.00 –4.00 Max. 100 Marks
PART – A (10 ´ 2 = 20 Marks)
Answer any TEN of the following questions in not exceeding Ten lines each.
- Judicial Review
- Rule of Law
- Secret ballto system
- Chancellor of Exchequer
- Mid – term Poll
- Double citizenship
- Aristocrasy
- Privy COUNCIL
- Spoil system
- Recall
- Unitary State
- Federalism
PART – B (4 ´ 10 = 40 marks)
Answer any FOUR of the following questions in not exceeding a page each.
- Explain the impeachment procedure for the president of USA.
- Write a short note on the powers and functions of the Prime Minister of UK.
- Explain the salient features of the Swiss constitution.
- Point out the significant features of the French Judiciary.
- Explain the meaning, merits & demerits of Democracy.
- Examine the functions of the speaker of House of Representative of USA.
PART – C (2 ´ 20 = 40 Marks)
Answer any TWO of the following questions in not exceeding 4 pages each.
- The president of US combines the powers of prime Minister of Indian and the
Queen of England -substantiate.
- Examine the legislative, executive and Judicial functions of the British Crown.
- Evaluate the Direct Democratic devices in Switzerland.
- Assess the powers and functions of the Senate in France.
Loyola College B.A. Economics April 2004 Econometrics Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.A., DEGREE EXAMINATION – ECONOMICS
FOURTH SEMESTER – APRIL 2004
ST 4204/STA 204 – ECONOMETRICS
07.04.2004 Max:100 marks
9.00 – 12.00
SECTION -A
Answer ALL questions. (10 ´ 2 = 20 marks)
- Define the term ‘econometrics’.
- Give any two properties of expectation.
- List down the axioms of probability.
- Mention the difference between statistic and parameter.
- Give any two properties of least square estimates.
- Consider the regression of y on x given by y = . How will you interpret the regression coefficients?
- What is analysis of variance?
- Give an example for structural change.
- Mention the consequences of multicollinearity.
- What is meant by heteroscedasticity?
SECTION – B
Answer any FIVE questions. (5 ´ 8 = 40 marks)
- a) A, B and C are mutually exclusive and exhaustive events associated with a random experiment. find P(A) given that P (B) = P(A); P(C) = P(B).
- b) If 2 dice are thrown, what is the probability of getting a sum greater than 8?
- c) If find P(A) and P(B). Hence show that A and B are independent. (2+2+4)
- a) Explain the term ‘linear’ with reference to a regression model.
- b) Write down the assumptions in a simple linear regression model. (4+4)
- Suppose that a researcher is studying the relationship between gallons of milk consumed by a family per month (y) and the price of milk each month (x in dollars / gallon). The sample consists of observations in 12 consecutive months. Analysis of the data assuming a linear model of y on x reveals the following:
. For this sample, find (i) (ii) (iii) Least squares slope (iv) Least squares intercept (v) Standard error of regression (vi) standard error of slope (vii) Test the hypothesis that the slope coefficient is zero at 5% level.
- Consider the following data set:
Sample No: 1 2 3 4 5
y : 15 10 14 8 3
x: 1 2 3 4 5
- i) Calculate the least square estimates for and assuming the model
y = for the above data.
- ii) Calculate for each sample.
iii) Calculate TSS and RSS.
- iv) Calculate the coefficient of determination.
- Justify / interpret the following statements:
- P { – 0.725 < b1 < 2.35} = 0.90
- R2 = 0.6735
- the estimates obtained by the least squares method are the best when compared with the estimates obtained by some other method.
- .
- Explain the concept of interval estimation.
- What are dummy variables? Explain how the data matrix is specified in the presence of dummy variables.
- Explain the method of Generalized least squares.
SECTION – C
Answer any TWO questions. (2 ´ 20 = 40 marks)
- a) The joint probability distribution of two random variables X and Y in given by
X
-1 0 1
-1 0 0 1/3
Y 0 0 0 0
1 0 1/3 1/3
find i) the marginal distribution of X and Y.
- ii) Var(X), Var(Y)
iii) Cov(X,Y)
- iv) Conditional probability of X given Y = 1.
- v) Var(X + Y)
- b) Define: Independent events, mutually exclusive events and sample space. (15+5)
- a) Explain the test of overall significance of a multiple regression.
- b) Consider the following ANOVA table:
SOURCE | df | Sum of Squares |
All Variables
(X1, X2, X3, X4) |
? | 800 |
First two Variables (X1, X2) | ? | 300 |
Difference | ? | ? |
Residual | ? | ? |
Total | 25 | 1500 |
- Complete the table by filling the missing values.
- Test H0: b1 = b2 = b3 = b4 = 0
Vs
H1 : atleast one bk 0, k = 1,2,3,4 at 5% level
iii) Test H0: b1 = b2 = 0
Vs
H1: b1 0 (or) b2 0 at 5% level.
- iv) Test H0 : b3 = b4 = 0 Vs H1: b3 0 (or) b4 0 at 1% level (8+12)
- a) Consider the following data
y X1 X2
1 1 2
3 2 1
8 3 -3
Based on this data, estimate the following regressions:
yi = a0+ a1 X1 i + u1i
yi = b0 + b1X1i+ b2X2i +u2i
Is a1 = b1? Why or why not?
- b) i) Explain the concept of structural change.
- ii) Give the steps involved in ‘Chow test’ to test for structural change. (10+10)
- a) Explain the remedial measures for multicollinearity.
- b) Write short notes on:
- Coefficient of determination
- Statistical inference
Random variables. (10+10)
Loyola College B.A. Economics Nov 2004 Mathematical Economics Question Paper PDF Download
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.A., DEGREE EXAMINATION – ECONOMICS
FIFTH SEMESTER – NOVEMBER 2004
EC 5404 – MATHEMATICAL ECONOMICS
03.11.2004 Max:100 marks
9.00 – 12.00 Noon
SECTION – A
Answer any FIVE questions (5 ´ 4 = 20 marks)
- What do you mean by variable?
- Define Function.
- Find the value of x for which the following function is not defined .
- What is meant by derivative of a function?
- Find if y = x2 + y2 + c.
- If P = 200 – 10q is the demand function. Obtain the MR when the sale q = 5.
- If z = 2x3 + 10xy + 5y2 then find out higher – order derivatives with respect to x & y.
SECTION – B
Answer any FOUR questions (4 ´ 10 = 40 marks)
- Explain the different types of variables.
- Discuss the rules of differentiation.
- If .
- Find , when .
- Minimize q = 12 L3/4 . K1/4
S.t. 3L + K = 80.
- Discuss the properties of definite integral.
- If , Prove that .
SECTION – C
Answer any TWO questions (2 ´ 20 = 40 marks)
- Briefly explain the role of differential calculus in economic theory.
- Find the maximum value of for positive value of x.
- Find the area included between the two parabolas: y2 = 4x and x2 = 4y.
- Find the producer’s surplus when
Pd = 3x2 – 20x + 5
Ps = 15 + qx when x is quantity.