Estimate the production for the years 2008 and 2010 with the help of the following table : Year Production Year Production (in '000 tonnes) (in '000 tonnes) 2005 200 Yo 2009 350 Y4 2006 220 2010 ? Y5 2007 260 Y2 2011 430 2008 ? Уз
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- The manager of human resource department wants to see if there is anyrelationship between staffs’ salary (in 1000TK) and their experience (in years).---------------------------+| id salary experience ||--------------------------|| 1 15 15.5 || 2 18 17 || 3 16.5 17 || 4 16.3 18 || 5 22 19 ||--------------------------|| 6 19.9 18 || 7 24 20 || 8 18.5 18.5 || 9 28.3 22 || 10 17.5 19.5 ||--------------------------|| 11 24.5 19.5 || 12 16.2 17.5 |---------------------------------(a) Write down the regression model of salary on experience indicating dependentvariable, independent variables and the associated parameters.(b) Obtain the least squares estimates of the model parameters and interpret them.(c) Draw a scatter plot and the regression line in the same coordinate.(d) Obtain TSS, RSS and ESS.(e) Obtain R-square value and interpret the result.(f) Obtain the estimate of the error variance.(g) Obtain 95% confidence interval for slope and interpret it.(h) Test the hypothesis that there is…Suppose Laura, a facilities manager at a health and wellness company, wants to estimate the difference in the average amount of time that men and women spend at the company's fitness centers each week. Laura randomly selects 15 adult male fitness center members from the membership database and then selects 15 adult female members from the database. Laura gathers data from the past month containing logged time at the fitness center for these members. She plans to use the data to estimate the difference in the time men and women spend per week at the fitness center. The sample statistics are summarized in the table. Population Populationdescription Population mean(unknown) Samplesize Sample mean(min) Sample standarddeviation (min) 11 male μ1 n=15 x¯1=137.7 s=51.7 22 female μ2 n=15 x¯2=114.6 s=34.2 df=24.283 The population standard deviations are unknown and unlikely to be equal, based on the sample data. Laura plans to use the two-sample ?-t-procedures to estimate the…One of your duties is the selection and disposal of boxes of obsolete files. According to regulations, ordinary files become obsolete after 24 months, confidential files after 36 months and classified files after 48 months. Which of the following boxes of files can be disposed of: A box containing ordinary files dated 26 months ago and classified files dated 34 months ago. A box containing ordinary files dated 38 months ago and confidential files dated 28 months ago.
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- A population of 200 healthy men was followed up for the development of prostate cancer. 10 men were followed-up for 1 year and were then lost to follow-up. After being followed-up for 5 years, 10 men developed prostate cancer. The remaining men who never developed prostate cancer were followed for 10 years. Calculate the total number of person years of observation accrued by this populationA machine shop has an order for 12,000 pcs. of a machine part that requires anti-corrosive properties. Chromium steel alloy that cost Php 95.00/ kg or Nickel steel alloy that cost Php 85.00 /kg may be used. The weight per piece, production per day and tool bit replacement cost for Cr-alloy are: 0.25 kg, 75 pcs and Php 1,600 every 400 pcs. Produced. The respective date for Ni-alloy are 0.3 kg, 50 pcs. And Php 1,800.00 for every 300 pcs. produced. If the charge for the labor and other operating cost is Php 450.00/day with all other expenses being the same, determine which material should be used.Sailco Corporation must determine how many sailboats should be produced during eachof the next four quarters (one quarter is three months). Demand is as follows: first quarter,40 sailboats; second quarter, 60 sailboats; third quarter, 75 sailboats; fourth quarter, 25 sailboats. Sailco must meet demand on time. At the beginning of the first quarter, Sailco hasan inventory of 10 sailboats. At the beginning of each quarter, Sailco must decide howmany sailboats should be produced during the current quarter. For simplicity, we assumethat sailboats manufactured during a quarter can be used to meet demand for the currentquarter. During each quarter, Sailco can produce up to 40 sailboats at a cost of $400 persailboat. By having employees work overtime during a quarter, Sailco can produce additional sailboats at a cost of $450 per sailboat. At the end of each quarter (after productionhas occurred and the current quarter’s demand has been satisfied), a carrying or holdingcost of $20 per sailboat…