Question 5 A company manufactures a gadget to be used in a very wide temperature .ge. Ine company knows that increased temperature shortens the ifetime of the device, and a study is therefore performed in which the lifetime is detemined as a function of temperature. The following data is found. Temperature (°C) 10 Lifetime (h ours). 380 21 316 30 265 42 202 53 174 113 66 62 70 81 35 92 (a) Construct a linear regression model for the given data. (b) Interpret the relationship between temperature and lifetime of the gadget (c) Estimate the ifetime of the device given temperature of 1°C.
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Q: b) Given the following data: Month Sales Month Sales July August September 38.0 October 35.0 January…
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?QUESTION 3 Consider the basic food items consumed by a rural household: Food item Consumption Price (N$) June 2021 July 2021 June 2021 July 2021 Bread(loaves) 25 26 10.30 10.70 Cooking oil(litres) 5 6 45.00 59.40 Rice(kg) 10 8 34.50 36.20 Meat(kg) 15 16 88.90 92.20 Required to: a)Which food item has had the lowest relative quantity of consumption increase between the months of June and July? b) Which food item has had the lowest relative price increase between the months Juneand July 2021? c) Calculate and interpret a Paasche quantity index for July 2021.Question No. 2 Eleven sales executive trainees are assigned selling jobs right after their recruitment.After a fortnight they are withdrawn from their field duties and given a month’straining for executive sales. Sales executed by them in thousands of rupees beforeand after the training, in the same period are listed below:Sales BeforeTrainingSales AfterTraining23 2420 1919 2121 1818 2020 2218 2017 2023 2316 20a. Do these data indicate that the training has contributed to their performance?b. Find the 95 per cent confidence Interval of the training.
- 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…Is this statement TRUE or FALSE?Gaussian Elimination is the process of deriving a simple function from a set of discrete data pointsQuestion 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.
- Question 2: Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?Question 9b . Describe the relationship displayed in the scatterplot (Using DUFS)QUESTION 1 Weekly closing prices (in RM) for Telstra for Sept 2015 - October 2015 is as follows: Week Share Price 1 3.47 2 3.58 3 3.41 4 3.39 5 3.25 6 3.40 7 3.35 8 3.51 9 3.41 10 3.41 Solve: 1. Use a 3 week moving average (SMA) to forecast the price for week 11. 2. Use a 3 week weighted moving average (WMA) to forecast the price for week 11. Use the weight of 3 for the latest period, 2 for the second latest period and 1 for the third latest period. 3. Use the exponential moving average (EMA) forecast to forecast price for week 11. Use α = 0.2 as the smoothing constant. Initial week 1 forecast was 3.47. 4. Which forecast gave the best result? Use MAD to find out. QUESTION 2 Sales of Cool Man air conditioners have grown steadily during the past five years: Year Sales 1 450 2 495 3 518 4 563 5 584 6 ? *The sales manager predicted that year 1 sales would be 450 air conditioners. Solve: 1. Using α = 0.30, develop forecast for year 2…
- QUESTION 9 The risk of acquiring a given disease during a time period is best determined by: A. the mortality rate from that disease in the 0-4 age group. B. the incidence rate (cumulative incidence) for that disease in a given period of time. C. a spot map that records all cases of the disease in the past year. D. the period prevalence for that disease during the past year.Question 1 a) A wedding photographer has made $500 on average in the 5 years it has been operational. When 12 months were analyzed, it was found that he made $620 per month. Does the value $500 refer to the parameter or to the statistic? Is the value $650 a parameter or a statistic? iii. State two advantages of using a sample statistic rather than a parameter. b) For each the following variables, state which is quantitative and which is qualitative. If it is continuous, state whether it is discrete or continuous. The amount of flour added to bake a pie The temperature of a glass of milk iii. The addresses of all patients at a dental office c) Choose the level of measurement described below The number on the t-shirt of a player on a football team (ordinal, interval) The distance Madison runs every morning (interval, ratio) iii. The Magazine that sells the most copies in a month (nominal, ordinal)Question 7. A manufacturer of jet engines estimates that the rate at which maintainance costs areincurred on its engines is a function of hours of operation of the engine. For one engineused on commercial aircraft, the function is r(t) = 40 + 0.03t2 where t equals the numberof hours of operation and r(t) equals the rate at which repair costs are incurred in dollarsper hour of operation. What are the total maintainance costs expected to equal duringthe first 100 hours of operation? Question 5. The daily total cost(in dollars) incurred by Nando’s for producing q cases of PERi-PERisauce is given by C(q) = −0.11111q3 + 5q2 + 400. How many cases of PERi-PERi sauceshoud be produced to minimize the daily total cost