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- 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 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.Question 3: Jane is trying to forecast demand for her store, using moving average with n=2, Fill in the missing cells with correct values and find average error for first quarter and second quarter of year 2000 E Enroll- Year Quarter ment Forecast Error Abs Error 1997 313 3. 2 285 4 3 312 5. 4 339 6. 1998 1 359 7 320 356 385 6. 10 1999 396 367 11 397 12 423 13 14 2000 1 15 2000 3412M4
- 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 450question 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 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 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 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 #2 Month Demand 1 45 2 48 3 43 4 48 5 49 6 54 7 47 8 50 9 46 10 47 Using the table above, calculate two forecasts using the following method:- First, for periods 4 through 10, develop the exponentially smoothed forecasts using a forecast for period 3 (F3) of 45.0 and an alpha of 0.4. ii. Calculate the weighted moving average for periods 4 through 10, using weights of .70, .20, and .10, with 0.70 applied to the most recent data. iii. Calculate the mean absolute deviation (MAD) for each forecasting procedure. Which forecasting procedure would you select? Why?QUESTION 1The table below shows the sales figures for a brand of shoe over the last 12 months.Months SalesJanuary 69February 75March 86April 92May 95June 100July 108August 115September 125October 131November 140December 150 a. Using the following, forecast the sales for the months up to January the following year:-i. A simple three month moving averageQUESTION ONE (b) The forecast of a product for the first week of January was 200 units, whereas the actual demand turned out to be 220 units. i. Find the forecast for the week of January assuming the smoothing constant 0.2 α = ii. Find the forecast for the third week of third week of January if the actual demand of the second week is 210 units