(a) From the following data calculate price index numbers for 1980 with 1970 as baseby (i) Laspeyre's method, (ii) Paasche's method, (iii) Marshall-Edgeworth method, and (iv) Fisher's idealmethod.Commodities19701980PriceQuantityPriceОuаntity6.A208.4050106054015501520202025(b) It is stated that Marshall-Edgeworth index number is a good approximation to Fisher's ideal indexnumber. Verify lhis for the data in Part (a).

Answered: Image /qna-images/answer/0746d86f-ccfb-4c07-bcfb-30c763d41d64.jpg

Answered: (a) From the following data calculate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table below indicates the cost of certain air tel kiosk Z 0.15 0.20 0.25 0.75 0.80 0.85 1.85 1.90 1.95 2.00 2.05 Фz 0.0596 0.0793 0.0987 0.2734 0.2881 0.3023 0.4678 0.4713 0.4744 0.4772 0.4798 If it was stated that, the number of telephone calls received at a switchboard is approximately normal with a mean of 580 calls and a standard deviation of 10. REQUIRED Find the possibility that on a given day the number of calls received at the switchboard will be; Exactly 578 Less than 570 Between 561 and 600 inclusive
3. An assesses depreciated the machinery of his factory by 10% each in the first two years and by 40% in the third year and thereby claimed 21% average depreciation relief from taxation department, but the I.T.O. objected and allowed only 20%. Show which of the two is right. 4. The mean weight of 150 students in a certain class is 60 kilograms. The mean weight of boys in the class is 70 kilogram and that of the girls is 55 kilograms. Find the number of boys and number of girls in the class.
The following table gives average annual prices of commodity during the yer 1982-1991 Year 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 Price 400 450 525 525 600 675 700 800 825 900 Calculate :(i) Price relatives taking 1982 as base (ii) Price relatives taking 1987 as base (iii) Chain indices
7. For a sample of 20 monthly observations, a financial analyst wants to regress the percentage rate of return (Y) of the common stock of a corporation on the percentage rate of return ( X) of standard and Poor's 500 Index. The following information is available: 20 20 20 20 20 >y = 22.6 , x = 25.4 , ) xỉ = 145.7 ,) yf = 180.5 , *Y = 150.5 a. Compute the sample correlation coefficient and interpret your answer. b. Test to determine the significance of the linear relationship between x and y. c. Estimate the lincar regression of Y on X, and interpret your results. Hence write the regression line and estimate Y when X is 8%.
27. An enquiry into the budgetk of the middle class families in Mumbai gave the following information : Fuel 10% Misc. 20%· Еxpenditure Price (2002) Rs. Price (2003) Rs. Food 35% Rent 15% Clothing 20% 100 20 60 150 50 174 60 125 25 90 The cost of living index in 2003 is : (A) 116.10 (В) 126.10 (C) 136.10 (D) 146.10.
In the construction of the retail price index numbers the weights were assigned as follows. Food 0, Fuel-10, Housing-7, Clothing-4, and Misc.-9. Compute the index number foi the period if the average percentage of increase in prices of the various items were 20, 25, 30, 40, and 50 respectively. If an executive was getting a monthly salary of Rs. 3000 in the base period what should he get in the current period in order that he may be able to maintain his same standard of living.
37. The Index Number for the year 2003 with 1990 as base year for the following data is : Commodity Quantity in unit in 1990 Price per unit in 1990 (Rs.) Price per unit in 2003 (Rs.) A 100 8.00 12.00 B 25 6.00 7.50 C 10 5.00 5.25 20 48.00 52.00 E 25 15.00 16.50 F 30 9.00 27.00 (A) 142.11 (B) 132.11 (C) 152.11 (D) 122.11.
The Big Mac index is a way of measuring Purchasing Power Parity (PPP) between different countries. By diverting the average national Big Mac prices to U.S. dollars, the same goods can be informally compared. The Big Mac can also be a good indicator for the individual purchasing power of an economy since he exists worldwide in standard size, composition and quality. Price # of Countries Rel. f. Cum. f 1.50-1.99 2 2.00-2.49 4 2.50-2.99 7 3.00-3.49 9. 3.50-3.99 7 4.00-4.49 8 4.50-4.99 9 5.00-5.49 7 5.50-5.99 1 6.00-6.49 2 6.50-6.99 1 a. What is the statistical name of the table above? b. How many countries were sampled? c. State the class width. d. Calculate the mean and standard deviation of the average prices of a Big Mac worldwide. Attach correct symbols and units to your answers. Explain how you obtained your answers.
b) r=
6. From the following data construct a price index number of the group of four commodities by using the appropriate formula : Commodity Pog Expenditure (Rs.) Price per unit Base Year Current Year Price per unit Expenditure (Rs.) TAT 40 75 bodlomvtisgos datow ordt 1 esvitsleo ogerovA beeioW bairigiev.C slil Viisle Dlo sg.SoVs bo 5tow siugmo 25 ofdieeoq oe 10 el di boriem 60slot 8 40 24 1 bolugmoo jol0 STOW eovitslonoohq ovods btupeib

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