Show by using the data given in example 5 that Weighted ArithmeticMean of Price Relatives would give the same index as would be given byLaspeyres Method, if the weights are base year values or Po9o-If the current year's quantities were 4, 3 and 1 respectively show thatthe Weighted Arithmetic Mean of Price Relatives would give the same indexas would be given by Paasche's Method, if the weights are base year's pricemultiplied by current year's quantities or poa1.

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Answered: Show by using the data given in example…

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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Example 5. From the following data construct the index number for the year 2004 on the hasi. of 2003. Price (Rs.) Items Units (2003) Ро (2004) P, Wheat Quintal 200 250 Rice Quintal 300 400 Pulses Quintal 400 500 Milk Litre 3 Clothing Meter 3 5
11. Use the following data to calculate (a) the size of the labor force and (b) the official unemployment rate: total population, 600; population under 16 years of age or institutionalized, 120; not in labor force, 150; unemployed, 23; part-time workers looking for full-time jobs, 10. (a) the size of the labor force: (b) the official unemployment rate: (c) What is the full-employment rate of unemployment (or NRU) today? percent (d) Would you say that the above example shows a year of full employment? ( Yes, No).
The accompanying data represent the annual rates of return of two companies' stock for the past 12 years. Complete parts (a) through (k). O A. OB. 0.50- 0.50- 0.00- 0.00- -0.50- -0.50- -0.3 RR of Company 2 0.0 0.3 -0.3 0.0 0.3 RR of Company 1 OC. 0.30- 0.50- 0.00- 0.00- -0.30- -0.50- o.0 0'5 0.0 0.3 -0.5 RR of Company 2 0.5 -0.3 RR of Company 1 (b) Determine the correlation coefficient between rate of return of Company 1 and Company 2. The correlation coefficient is 0.966. (Round to three decimal places as needed.) (c) Based on the scatter diagram and correlation coefficient, is there a linear relation between rate of return of Company 1 and Company 2? Yes No (d) Find the least-squares regression line treating the rate of return of Company 1 as the explanatory variable. y=x+O (Round to four decimal places as needed.) RR of Company 1 RR of Company 1 RR of Company 2 RR of Company 2
6. Consider a coffee shop that uses a single-server queue. The inter-arrival time is exponentially distributed with a mean of 10 minutes and the service time is also exponentially distributed with a mean of 8 minutes. Calculate the: (i) mean wait in the queue (2) (ii) mean number in the queue (2) (iii) the mean wait in the system (2) (iv) mean number in the system (2) (v) proportion of time the server is idle. (2) [10] 7. The arrival of customers at a bank follows a Poisson distribution with a mean arrival rate of 10 customers per hour. The service time at the bank follows an exponential distribution with a mean service rate of 6 minutes per customer. Calculate the average number of customers in the system (including those being served and waiting) and the average time a customer spends in the system. How is the system performing? [8]
58. Fit a straight line trend by least squares method and tabulate the trend Pvalues from the following figures of production of a cement factory : Year Production ('000 tonnes) : 2008 77 2009 88 2010 94 2011 2013 2012 91 2014 90 85 98
Please use excel.
Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables margin, - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and • home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to 0 when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line: regress margin home if team===== "Brooklyn Nets" . Source Model Residual Total margin home _cons SS 1459.95122 15252.0488 16712 df 1459.95122 1 80 190.65061 None of the above 81 206.320988 Coef. Std. Err. 8.439024 3.049595 -5.219512 2.156389 MS t Number of obs F(1, 80) Prob > F R-squared O The Nets lost more games than they won in 2014 P>|t| 2.77 0.007 -2.42 0.018 Adj R-squared = Root…
(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
7
42. In a working class budget enquiry in towns A and B, it was found in 2014 that an average working class family's expenditure on food and other items was as follows : Town A Town B 50% 50% () Food (i) Other items In 2017, the consumer price index stood at 279 for town A, 265 for town B (Base year 2014 = 100). It was known that the rise in the prices of all articles consumed by the working class was the same for A and B. What was the 2017 index for (a) food, and (b) other items ? 64% 36%
(2) Based on the graph, describe the pattern of customer visits in store A and store B, respectively (4) If you are a manager from the company headquarters, how would you allocate the personnel resources to store A and store B, respectively
Problems 13 – 17: The box-plot represents the number of tacos sold each day at Mighty Taco during the month of April. _13. What is the range of # of tacos sold per day? TAGO _14. What is the interquartile range? 15. What is the median? 16. On how many days did they sell more than 2100 tacos? -17. What is the value of P75? 1700 1800 1900 2000 2100 2200 2300

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