Maya ltd. wants to use the Centre of Gravity location technique to determine where to setup its distribution centre. I. What is the main objective of using this technique? II. What information will be needed in order to use this technique? III. Setup a numerical example that can be used to demonstrate to the owner of the company how the technique can be used.
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- question A manufacturer is developing a facility plan to provide production capacity for the factory. the amount of capacity required in the future depends on the number of products demanded by its customers. The data below reflect past sales of its products. a) use simple linear regression to forecast annual demand for the products for each of the nnext 3 years. b) determine the correlation coefficient for the data and interpret its meaning. c) find the coefficient of determination for the data and interprete its meaning. year annual sales (number of products year annual sales (number of products) 1 490 5 461 2 487 6 475 3 492 7 472 4 478 8 458Question 3Maya ltd. wants to use the Centre of Gravity location technique to determine where to setup itsdistribution centre.I. What is the main objective of using this technique? II. What information will be needed in order to use this technique? III. Setup a numerical example that can be used to demonstrate to the owner of thecompany how the technique can be used. IV. Use the numerical example set up above to demonstrate how the centre of gravitylocation technique is used.QUESTION 2 The number of patients coming to the Healthy Start Maternity clinic has been increasing steadilyover the past eight months. You are provided with some historical data as follows: Month Clinic attendance (in thousands)1 3.42 3.93 4.54 5.05 5.86 5.97 6.58 6.7 a. Identify and give a brief explanation of the:-i. Dependent variableii. Independent variable b. Use simple linear regression to forecast annual demand for months 9 and 10 by using thetabular method to:-i. Derive the values for the intercept and slope. ii. Derive the linear regression equation. iii. Plot the linear regression line. iv. Develop a forecast of the clinic attendance for months 9 and 10.
- Question 2Chad and James are two veteran sales executives who have been working for a well-established car distributor selling new cars. About six years ago, believing that there were good prospects in starting a business in selling used cars, both gentlemen left their employment to venture out.Since the beginning of their company, sales had been quite positive, but the owners now wanted to know more about future sales using an appropriate forecasting method. For a start, they wanted to focus on the quarterly sales of a popular brand of used cars.The sales figures over the last five years were used for the forecast. They are presented in the table below. (c) Explain why forecasting, despite its usefulness or sophistication, should only be considered a useful tool for decision making in any business. What are other factors that need to be considered? (d) The business of selling cars in Singapore, like many businesses, is subject to uncertainties.Discuss three (3) external factors,…QUESTION 9 The following is the actual sales for Manama Company for a particular good: t Sales 1 19 2 23 3 22 4 27 5 34 The company wants to determine how accurate their forecasting model, so they asked their modeling expert to build a trend model. He found the model to forecast sales can be expressed by the following model: Ft= 5+2.4t Calculate the amount of error occurred by applying the model is: Hint: Use MSE (Round your answer to 2 decimal places)Question (4): Answer the following problem: Cover Me, Inc. sells umbrellas in two cities. Management assumes that annual rainfall is the primary determinant of umbrella sales, and it wants to generate a linear regression equation to estimate potential sales in another city. Use the table below to develop a linear regression equation to find out what sales might be if the rainfall is 12 inches in City C. Show your work in the below table Rainfall X Sales Y X2 XY City A 36 inches 200 City B 30 inches 250 City C 12 inches Total 66 450
- Question content area Part 1 The director of the Riley County, Kansas, library system would like to forecast evening patron usage for next week. Below are the data for the past 4 weeks: Mon Tue Wed Thu Fri Sat Week 1 210 178 250 215 160 180 Week 2 215 180 250 213 165 185 Week 3 220 176 260 220 175 190 Week 4 225 178 260 225 176 190 Part 2 a) Calculate a seasonal index for each day of the week (enter your responses rounded to three decimal places). Part 3 b) Let x =1 for Monday of Week 1. If the trend equation for this problem is: y =201.74 +0.18x, the forecast for each day of week 5 is (round your responses to the nearest whole number):Question 1 Double Exponential Smoothing should be applied to time series with ____________________. Group of answer choices a. no trend and no seasonality. b. trend but no seasonality. c. seasonality but no trend. d. both trend and seasonality. Question 2 An analyst fits a Holt’s Double exponential smoothing model in StatTools to a time series data on sales with the smoothing parameters to be optimized by the software. In the output she notes that the optimized smoothing parameter for trend to be 0.0000. What does this imply? Group of answer choices a. There is no trend in the data. b. There is both trend and seasonality in the data. c. There could be trend in the data, but it is not smoothed over time by the model. d. This output does not make any sense!Question 18 A tire company needs a forecast for studded tires in the next forecast period. The company typically uses an exponential smoothing forecast using a smoothing constant of alpha = 0.20. The demand for the most recent period was 100 and the forecast for the same period was 110. Based on this information, what is the tire company's forecast for the next period? Group of answer choices a. 100 tires b. 102 tires c. 108 tires d. 110 tires e. Impossible to determine
- Question Using a suitable moving average method, find the trend values.Question THREE: Suppose you are given a set of data for output at a company which manufactures detergents over a period of time. You have determined a relation between total operating cost and the quantity produced and is given by the linear regression model as follows: TC=20,000+2,500Q, where TC=Total Operating Cost (in $) per annum and Q = Quantity produced per annum Required: i. Determine the total operating cost in the event that quantity of production is at 4,500, 12,500 and 7,000units. ii. What do you think would be your reservations in relaying on the linear regression model for budgetary planning purposes?Question 1: Market planning, Inc. a marketing research firm, has obtained the prescription sales data for 20 independent pharmacies (attached). In this table y is the average weekly prescription sales over the past year (in units of $1,000), x1 is the floor space (in square feet), x2 is the percentage of floor space allocated to the prescription department, x3 is the number of parking spaces available to the store, x4 is the weekly per capita income for the surrounding community (in units of $100), and x5 is a dummy variable that equals 1 if the pharmacy is located in a shopping center and 0 otherwise. Regress average weekly prescription sales against different combinations of the independent variables. What is the best model? Discuss what the parameter coefficients say about prescription sales.