HELP PLEASE, SHOW STEP BY STEP. Let f(x) be a function of period 27given by f(x) = x 2 (a) Sketch 2 periods of f(x). (b) What are the values of f(x) at x=27and x = π? (c) Find the values to which the Fourier series of f(x) converges at x = 27and x = π. ง 3. (opt) Let f(x) be a function of period 27 given by f(x) = x² on the interval 0 < x < 2. (a) Sketch 2 periods of f(x). (b) What are the values of f(x) at x = 2π and x = *? (c) Find the values to which the Fourier series of f(r) converges at x = 27 and x = π.
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- Suppose that a regional express delivery service company wants to estimate the cost of shipping a package (Y) as a function of cargo type, where cargo type includes the following possibilities: fragile, semifragile, and durable. Costs for 15 randomly chosen packages of approximately the same weight and same distance shipped, but of different cargo types, are provided in the file P13_16.xlsx. a. Estimate a regression equation using the given sample data, and interpret the estimated regression coefficients. b. According to the estimated regression equation, which cargo type is the most costly to ship? Which cargo type is the least costly to ship? c. How well does the estimated equation fit the given sample data? How might the fit be improved? d. Given the estimated regression equation, predict the cost of shipping a package with semifragile cargo.The Baker Company wants to develop a budget to predict how overhead costs vary with activity levels. Management is trying to decide whether direct labor hours (DLH) or units produced is the better measure of activity for the firm. Monthly data for the preceding 24 months appear in the file P13_40.xlsx. Use regression analysis to determine which measure, DLH or Units (or both), should be used for the budget. How would the regression equation be used to obtain the budget for the firms overhead costs?The management of a technology company is trying to determine the variable that best explains the variation of employee salaries using a sample of 52 full-time employees; see the file P13_08.xlsx. Estimate simple linear regression equations to identify which of the following has the strongest linear relationship with annual salary: the employees gender, age, number of years of relevant work experience prior to employment at the company, number of years of employment at the company, or number of years of post secondary education. Provide support for your conclusion.
- PLEASE SHOW WORK SO I CAN UNDERSTANDA6A department store has recorded the sales of the best selling can opener model during the last 6 months. Observed values of the can opener sales are: Period 1 2 3 4 5 6 Sales 25 22 26 33 28 30 Use Holt’s double exponential smoothing with smoothing coefficients α=0.3, β=.15, S1=24.13 and G1=1.484 to calculate F1,2, G2 and S2. F1,2 = S2 = G2 =
- The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014. Year Period (t) Revenue ($ billions) 2009 1 23.8 2010 29.2 2011 37.9 2012 4 50.3 2013 59.8 2014 6 66.6 (a) Construct a time series plot. 80 80 70 70 70 70 60 60 50 50 50 30 30 30 30- 20 20 20 20 10 10 10 - 10- 4. 6 7 4 6 4 5 6 7 1 2. 4 6 7 Period Period Period Period What type of pattern exists in the data? O The time series plot shows an upward linear trend. O The time series plot shows a downward curvilinear trend. O The time series plot shows a downward linear trend. O The time series plot shows an upward curvilinear trend. (b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.) T = (c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three decimal places.) billion Revenue ($ billions) Revenue ($ billions)…a. Obtain the linear trend equation for the following data on new checking accounts at Fair SavingsBank and use it to predict expected new checking accounts for periods 16 through 19.Period New Accounts Period New Accounts Period New Accounts1 200 6 232 11 2812 214 7 248 12 2753 211 8 250 13 2804 228 9 253 14 2885 235 10 267 15 310b. Use trend-adjusted smoothing with α = .3 and β = .2 to smooth the new account data in part a.What is the forecast for period 16?A manufacturing engineer is studying the dimensional variability of a particular component that is produced on three machines. Each machine has two spindles, and four components are randomly selected from each spindle. The results follow. Analyze the data, assuming that machines and spindles are fixed factors. Machine 1 Machine 2 Machine 3 Spindle 1 1 1 12 8 14 12 14 16 9 9 15 10 10 15 11 10 13 11 12 15 12 8 14 13 11 14 Calculate the Determination Coefficient (as percentage) for the Model obtained. Use 2 decimal Digits Respuesta: 2.