Income at the architectural firm Spraggins and Yunes for the period February to July was as follows:MonthFebruaryMarchAprilMayJuneJulyIncome ($000's)35.032.628.126.334.532.0Assume that the initial forecast for February is 30.0 (in $ thousands) and the initial trend adjustment is 0. The smoothing constants selectedare a = 0.2 and B = 0.3. Using trend-adjusted exponential smoothing, the forecast for the architectural firm's August income isthousand%3Ddollars (round your response to two decimal places).

The mean square error is defined as the square of the difference between actual and estimated values…

Answered: Income at the architectural firm…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?
The president of small manufacturing firm is concerned about the continual increase in manufacturing costs over the past several years. The following figures provide a time series of the cost per unit for the firm’s leading product over the past eight years. Year Cost/Unit ($) Year Cost/Unit ($) 1 20.00 5 26.60 2 24.50 6 30.00 3 28.20 7 31.00 4 27.50 8 36.00 Construct a time series plot. What type of pattern exists in the data? Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. What is the average cost increase that the firm has been realizing per year? Compute an estimate of the cost/unit for next year.
hudson Marine has been an authorized dealer for c&d marine radios for the past sevenyears. the following table reports the number of radios sold each year.Year 1 2 3 4 5 6 7Number Sold 35 50 75 90 105 110 130a. construct a time series plot. does a linear trend appear to be present?b. Using Minitab or excel, develop a linear trend equation for this time series.c. Use the linear trend equation developed in part (b) to develop a forecast for annualsales in year 8.
"Fit the sales data using the Holt-Winters Additive Seasonal model, and opti-mize the smoothing constants with the Solver.b.Use the Forecast Sheet button to create a forecast worksheet.c. Which model performs better based on the MSE" Oct-11 16,402 Jan-12 21,288 Apr-12 16,867 Jul-12 16,779 Oct-12 16,929 Jan-13 22,726 Apr-13 16,706 Jul-13 17,117 Oct-13 17,258 Jan-14 21,515 Apr-14 17,050 Jul-14 17,406 Oct-14 17,732 Jan-15 21,751 Apr-15 17,119 Jul-15 17,427 Oct-15 17,613 Jan-16 21,626 Apr-16 16,196 Jul-16 16,169 Oct-16 16,441 Jan-17 20,690 Apr-17 16,017 Jul-17 16,429 Oct-17 16,667 Jan-18 22,766 Apr-18 16,781 Jul-18 17,776 Oct-18 17,821 Jan-19 22,977 Apr-19 17,627
Six years of quarterly data of a seasonally adjusted series are used to estimate a linear trend model as TˆT^ t = 151.60 + 1.16t. In addition, quarterly seasonal indices are calculated as SˆS^ 1 = 0.87, SˆS^ 2 = 0.81, SˆS^ 3 = 1.07, and SˆS^ 4 = 1.23. Make a forecast for all four quarters of next year. (Do not round intermediate calculations. Round your answers to 2 decimal places.) yˆty^t Quarter 1 Quarter 2 Quarter 3 Quarter 4
The following data give the yearly inflation rate and money supply growthrate (both measured in percentage) for 51 countries. A simple regression of Infla-tion on Growth yields the following information from RegressIt output: (a) What is the linear relationship implied by these data? (b) For a country with an 6% money supply growth, what would be theexpected inflation? (This means Growth= 6 as it is measured in percentage.) (c) A simplistic monetarist claims that a 1% increase in the money supplygrowth rate would result in a corresponding 1% increase in inflation. In otherwords, for the relationship of Inflation = β0 + β1Growth, the null hypothesis isβ1 = 1. Do the regression results support this null hypothesis?
Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables – hours worked per week and yearly income. Hours per week Yearly Income ('000's) 18 43.8p 13 44.5 18 44.8 25.5 46.0 11.5 41.2 18 43.3 16 43.6 27 46.2 27.5 46.8 30.5 48.2 24.5 49.3 32.5 53.8 25 53.9 23.5 54.2 30.5 50.5 27.5 51.2 28 51.5 26 52.6 25.5 52.8 26.5 52.9 33 49.5 15 49.8 27.5 50.3 36 54.3 27 55.1 34.5 55.3 39 61.7 37 62.3 31.5 63.4 37 63.7 24.5 55.5 28 55.6 19 55.7 38.5 58.2 37.5 58.3 18.5 58.4 32 59.2 35 59.3 36 59.4 39 60.5 24.5 56.7 26 57.8 38 63.8 44.5 64.2 34.5 55.8 34.5 56.2 40 64.3 41.5 64.5 34.5 64.7 42.3 66.1 34.5 72.3 28 73.2 38…

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