Compute index numbers from the following data taking 1986as base. Use (i) Laspeyres, (ii) Paasche's method, (iii) Bowley's method,(iv) Fishers method.19861988СоmmodityPriceValuePriceValuei1212616128ii1413519125iii1725020110iv30220362103513040115

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Answered: Compute index numbers from the…

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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Calculate the Price and Quantity Index numbers based on the following data; Use any two methods mentioned below. 1) Paaschey's Method 2)Fisher's Method 3) Laspeyre's Method. Data is attached in the image.
3. The following data shows prices of three types of fruits over ten years. Year Mango Orange Blackberry 50 100 150 55 115 155 60 100 125 4 55 110 130 63 120 120 65 110 125 7 70 105 140 8 75 120 170 60 130 160 10 65 135 175 Take year 1 as the base year. In that year the production of Mango, Orange, and Blackberry was 50, 25, and 15 thousand kilograms respectively. a) Find the un-weighted index of prices. b) Find the Laspeyres index for fruit prices. c) What is the change in price from year 6 to year 7 if you use un-weighted index. d) What is the change in price from year 6 to year 7 if you use Laspeyres index. e) Is answer to c is different from answer to d. Explain your answer
(b) Table 1 shows consumables usage data from a leading manufacturer. Forecast the demand for August, September and October using: i) a three-month moving average ii) a four-month weighted moving average using 50 percent of the actual usage for the most recent month, 20 percent of two months ago, 15 percent of three months ago and 15 percent of four months ago. Using an example, explain what are the benefits of using the weighted moving average method of forecasting instead? Month February 2023 March 2023 April 2023 May 2023 June 2023 July 2023 Consumables Used 884 892 972 990 956 880
b) r=
The following information was recorded in a toy store: Year 2016 Year 2017 Year 2018 Price Quantity Price Quantity Price Quantity Slime 6. 50 9. 60 10 56 Sticky tact 100 2 105 120 Stinky egg Teddy Bear 4 60 4 50 60 10 30 11 26 12 24 Tortoise 8 40 11 39 12 36 (a) By using the above data, compute the Laspeyres Price Index for year 2018 by using year 2016 as base year. (b) Interpret your answer in part (a)). (c) By using the above data, compute the Paasche Price Index for year 2018 by using year 2016 as base year. (d) Which item has experienced the greatest inflation rate from year 2017 to year 2018? (Just state vour answer, no calculation is needed in part (d)).
13. The following data relate to the prices and quantities of 4 commodities in the years 2012 and 2013. Construct the following index numbers of price for the year 2013 by using 2012 as the Base year, (i) Laspeyre's Index, (ii) Paasche's Index, (iii) Fisher's Ideal Index, 2012 2013 Commodity Price Quantity Price Quantity 100 6. 150 4 80 100 2.5 60 72 12.0 30 9. 33
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
lustration 13.3. The price quotations for five different commo- dities for 1951 and 1965 are given below. Calculate index number for 1965 with 1951 as base by using the weighted average of price relatives. Commodities 1951 1955 Price per kgm Quantity kgm Price A 6. 50 10 · 2 100 C 4 60 6. 10 30 12 E 8. 40 12
A. Identify the Level of Measurement for each of the following variables 1. Price of raw materials 2. Aperson's occupation 3. Advertising costs 4. Length of time before a device fails 5. "Star" rating of hotels. 6. Product satisfaction as "Very Unsatisfied, Fairly unsatisfied, until Very satisfied" 7. Types of investments (Stocks, Bonds, others) 8. Standardized exam score (eg. Board exam score) 9. Time (in minutes) it takes students to complete a statistics test 10. Time to execute a command in a computer program B. Identify if the quantity reported is a Parameter or a Statistic 1. Inastudy of Filipino Airlines flights from Japan tothe Philippines, 68 flights are randomly selected and the average (mean) arrival time is 9.2 minutes late. 2. A sample of 120 employees of a company is selected, and the average age is found to be 37 years. 3. Ina study of 320 babies born at four different hospitals in Baguio, it was found that the average weight at birth was 3.175 kgs. 4. Afterinterviewing…
The following data relate to the prices and quantities of 4 commodities in the years 2012 and 2013. Construct the following index numbers of price for the year 2013 by using 2012 as the Base year, . (i) Laspeyre's Index, (ii) Paasche's Index, (iii) Fisher's Ideal Index, 2012 2013 Commodity Price Quantity Price Quantity A 100 6. 150 B 4 80 5 100 C 2.5 60 5 72 D 12.0 30 33

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Compute index numbers from the following data taking 1986 as base. Use (i) Laspeyres, (ii) Paasche's method, (iii) Bowley's method, (iv) Fishers method. 1986 1988 Соmmodity Price Value Price Value i 12 126 16 128 ii 14 135 19 125 iii 17 250 20 110 iv 30 220 36 210 35 130 40 115