Problem 3-10 (Algo) After plotting demand for four perlods, an emergency room manager has concluded that a trend-adjusted exponentlal smoothing model is approprlate to predict future demand. The Initlal estimate of trend Is based on the net change of 19 for the three perlods from 1 to 4, for an average of +6.33 units. Period Actual Period Actual 1 210 6. 259 229 274 224 284 229 289 5. 249 10 Click here for the Excel Data File Use a=0.40 and B=0.05, and TAF of 245 for perlod 5. Obtaln forecasts for perlods 6 through 10. (Round your Intermedlate calculations and final answers to 2 decimal places.)
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- Using the 911 call data in Problem 4.31, forecast calls for weeks 2 through 25 with a trend-adjusted exponential smoothing model. Assume an initial forecast for 50 calls for week 1 and an initial trend of zero. Use smoothing constants of a = .3 and b = .2. Is this model better than that of Problem 4.31? What adjustment might be useful for further improvement? (Again, assume that actual calls in week 25 were 85.) Note: Attached photo is the data in problem 4.31Problem 6-11 For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83. Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data? Compare a three-month moving average forecast with an exponential smoothing forecast for α = 0.2. Which provides the better forecasts using MSE as the measure of model accuracy? Do not round your interim computations and round your final answers to three decimal places. Movingaverage Exponentialsmoothing MSE fill in the blank 3 fill in the blank 4 What is the forecast for next month? If required, round your answer to two decimal places.fill in the blank 6Question 4 Multi-Server QueueA supermarket manager is trying to decide how many cashers to employ for the peak time. The service times for check outs are exponentially distributed with a mean service time of 3 minutes. Customer arrivals to cashiers follow a Poisson arrival process with an average 110 customers per hour.a. What is the minimum number of cashers that would be needed to have the utilization less than one?b. If the waiting time is too long, customers might leave the store or even do not enter the store. It is estimated that for every minute of waiting time, the supermarket loses a potential profit of 50 HKD every hour from lost sales. The hourly wage for a casher is 80 HKD / hour. How many cashers should the supermarket employ to maximize its profit? (Keep four decimal places.
- Problem#1: On the desk of an office of a Banking Company, the arrivals of the customers follow poisson law and an average at every 10 minutes a customer arrives. The officer responsible takes on an average 6 minutes to serve a customer, assuming the exponentially distributed. Find out the average arrival rates for(a) 1 hour(b) 15 minutes(c) 8 hoursProblem #01: Arrivals of a customers to payment counter in a bank follow poisson distribution with an average of 10 per hour. The service time follows negative exponential distribution with an average of 4 minutes.(a) What is the average number of customers in the Queue?(b) The bank will open one or more counter when the waiting time of a customer is at least 10 minutes. By how much the flow of arrivals should increase in order to justify the second counter? Problem #02: On the desk of an office of a Banking Company, the arrivals of the customers follow poisson law and an average at every 10 minutes a customer arrives. The officer responsible takes on an average 6 minutes to serve a customer, assuming the exponentially distributed. Find out the average arrival rates for(a) 1 hour(b) 15 minutes(c) 8 hoursExample 11.1 Please solve using R. Obstetricians sometimes order tests for es-triol levels from 24-hour urine specimens taken from preg-nant women who are near term, because level of estriol has been found to be related to infant birthweight. The testcan provide indirect evidence of an abnormally small fetus.The relationship between estriol level and birthweight canbe quantified by fitting a regression line that relates thetwo variables. Data is given in Table 11.1 on page 459.
- Question No. 1: ZIMS store sells its products on installments in Karachi. The store decided to investigate the link between the life of the product and the cost. The data collected from store is shown in Table 1.1: Table 1.1 LIFE OF PRODUCT (Years) COST (Thousand Rupees) 3.0 25 3.5 28 4.0 32 4.5 34 5.0 34 3.0 30 5.5 40 4.5 40 4.0 42 3.5 42 6.0 50 7.5…Question No. 1: ZIMS store sells its products on installments in Karachi. The store decided to investigate the link between the life of the product and the cost. The data collected from store is shown in Table 1.1: Table 1.1 LIFE OF PRODUCT (Years) COST (Thousand Rupees) 3.0 25 3.5 28 4.0 32 4.5 34 5.0 34 3.0 30 5.5 40 4.5 40 4.0 42 3.5 42 6.0 50 7.5 50 8.0 53 8.5 55 a) Plot a scatter chart from the above data.b) Find the equation of the least square regression line in the form y=a+bx. Given the value of "a" and "b" up to 3 decimal places.c) What are the exact interpretations of the estimated regression factors?d) Using your answer of part (b). Find the cost predicted by the regression linefor 6.5 year’s life of a product.Question 17 Suppose Carole has a total wealth of $100,000 and a utility described by U = E -A She has a risk aversion coefficient of A-1. She can borrow and lend/invest at the risk-free rate of 2.8%. Suppose the optimal risky portfolio has an expected return of 12% and a standard deviation of 27.5%, What is her optimal amount to borrow or lend/invest at the risk free rate? Indicate investing/lending as a positive number and borrowing as a negative number. Round to the nearest cent ($0.01). Your answer should not include the $ sign. If your answer is $25.34, it should be written as 25.34. Question 18 Ayear ago, an investor bought 200 shares of a "no-load" mutual fund at $10.01 per share. No-load funds do not change "entry fees or "exit" fees when buying or redeeming shares. Sometime during the year, the fund paid dividends of $0.71 per share and the fund paid capital gains of $0.14 per share - and these payments were reinvested in the fund at an average price of $10.73 per share…
- QUESTION 27 Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 73.7 Q2 85 Q3 105.7 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the deseasonalized series on Time are given below: Coefficients Intercept 2,857 Time 59.1 What is the trend projection of the series for period 112? (please round your answer to 1 decimal place)ch 11. 4 Oxnard Petro, Ltd., has three interdisciplinary project development teams that function on an ongoing basis. Team members rotate from time to time. Every 4 months (three times a year) each department head rates the performance of each project team (using a 0 to 100 scale, where 100 is the best rating). Are the main effects significant? Is there an interaction?Question # 1 A well-known multinational FMCG produces more than fifty products and sells them in the market. Out of fifty products one is mineral water for drinking purpose and supplies different size pack bottles in the market. Product manager observed that, during hot days the sale of water is more as compared to the normal days. He started the collection of data of weekly sale of water and the average weekly temperature. Product manager was interested in developing a relationship between sales and temperature; therefore, he discussed and shared the following data with you. sales 75 77 69 63 79 80 77 70 73 87 72 73 80 80 69 84 77 72 74 81 temperature 32 36 31 31 34 29 32 35 28 31 30 31 29 35 36 28 32 33 32 33 Sale is in thousand liters and temperature is in degree Celsius. Data…