**Quarterly Sales Data of TRK-50 Mountain Bike**The following table represents the quarterly sales of the TRK-50 mountain bike over the previous four years at a bicycle shop in Switzerland.| Year | Quarter | $ t $ | $ y_t $ ||------|---------|---------|----------|| 1 | 1 | 1 | 10 || | 2 | 2 | 31 || | 3 | 3 | 43 || | 4 | 4 | 16 || 2 | 1 | 5 | 11 || | 2 | 6 | 33 || | 3 | 7 | 45 || | 4 | 8 | 17 || 3 | 1 | 9 | 13 || | 2 | 10 | 34 || | 3 | 11 | 48 || | 4 | 12 | 19 || 4 | 1 | 13 | 15 || | 2 | 14 | 37 || | 3 | 15 | 51 || | 4 | 16 | 21 |**Discussion Questions:**(a) **Time Series Plot**: Using software tools, plot the time series data to visualize trends and seasonal patterns.(b) **Trend Analysis**: Determine the nature of the trend in sales over the time period.(c) **Seasonal Variation**: Identify the type of seasonal variation present in the data.(d) **Data Transformation**: Consider if a transformation is needed for constant variation in the series.(e) **Model Fitting**: Fit a suitable model that includes both trend and seasonal variations.(f) **Variable Importance**: Analyze the importance of the independent variables statistically.(g) **Dummy Variables**: Define the dummy variables Q2, Q3, and Q4 for quarterly effects.(h) **Sales Prediction**: Use the fitted model to predict bike sales in the fifth year, including point estimation and constructing a 95% confidence and prediction interval.(i) **Prediction Equation

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table below shows the one-year sales data for a certain part. Month Demand Month Demand January 687 July 662 February 599 August 747 March 524 September 748 April 521 October 577 May 685 November 519 June 667 December 742 Compute the one-step-ahead 3-month and 6-month moving-average forecasts for July through December. Compute the MAD for the forecasts obtained in part (a). What effect does increasing N from 3 to 6 have on the forecasts? Use the arithmetic average of the first six months of data as a baseline to initialize the exponential smoothing. Compute the one-step-ahead exponential smoothing forecasts for July through December, assuming α = 0.25. Compare the accuracy of the forecasts obtained in part (c) with the one-step ahead six-month moving-average forecasts obtained in part (a).
Consider the 12 weeks of demand in the following table. Calculate the CMA for Weeks 2 through 11. What is the CMA for Week 4? Round your answer to the nearest whole number. Week Demand 1 23 2 19 3 21 4 22 5 19 6 22 7 19 8 20 9 22 10 22 11 19 12 21
solve
The following table represents the percentage of the U.S. population who have completed four years of college or more from 1976 to 2016, by gender. Year 1976 1981 1986 1991 1996 2001 2006 2011 2016 % of Women 11.3 13.4 16.1 18.8 21.4 24.3 26.9 30.1 33.7 % of Men 18.6 21.1 23.2 24.3 26 28.2 29.2 30.8 33.2 (a) What is the AROC in the percentage of women who had completed four years of college or more from the year 1986 to 2006? (b) What is the AROC in the percentage of men who had completed four years of college or more from the year 1986 to 2006? (c) From the years 1976 to 1986, the AROC in the percentage of men who had completed 4 years or more of college is AROC for women is Σ %. (d) From the years 2006 to 2016, the AROC in the percentage of men who had completed 4 years or more of college is AROC for women is (e) What are the inferences you can make from your answers to parts (a)-(d)? Choose all that apply. Σ Σ Z %, and the A. The percentage of men who are completing 4 years of more…
I need help with part b, c and d
The following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009. Weeks $Receipts 0 77.025 2 68.49 4 42.785 6 31.28 8 23.611 10 13.655 12 6.526 14 2.047 16 0.844 18 0.92 20 0.425 22 0.188 24 0.076 26 0.045 28 0.028 Estimate the instantaneous rate of change of daily receipts 26 weeks after the opening day.
Suppose the following table was generated from a sample of 20 CEOs relating annual salary to years of experience and the industry in which they are employed. Indicator (dummy) variables were created for each Industry (1 if the CEO works in that industry, 0 otherwise). The Health Care Industry is considered the base-level industry. Intercept Experience Service Manufacturing Financial Coefficients 140037.615086 3292.653840 5938.697230 -14364.236092 17037.306498 Standard Error 4147.421168 231.558624 5270.795161 5408.963617 5303.248604 3.212617 t Stat 33.764985 14.219526 1.126718 0.277565 -2.655636 0.017988 0.005812 P-Value 0.000000 0.000000 Copy Data According to the results, if a CEO in the Health Care industry and a CEO in the Financial industry both have 24 years of experience, what is the estimated difference in annual salary between the two CEOs? Enter your answer below, rounded to two decimal places.
The data below represents international sales versus Canada sales for the McDonalds's Chain. Year Canada Sales International Sales 1987 7.6 2.3 1988 7.9 2.6 1989 8.3 2.9 1990 8.6 3.2 1991 8.8 3.7 1992 9.0 4.1 1993 9.4 4.8 1994 10.2 5.7 1995 11.4 7.0 1996 12.1 8.9 Required: Regress McDonald's international sales then answer the questions: a. What is the regression model? b. Interpret your results Type your numeric answerand submit
The following table reports the sale of umbrellas for 16 quarters. Year 2 Year 3 Year 4 Quarter Year 1 9. 6. 4 8 6. 4 3 2. 4 4 1. 3 7. 5 3 Develop a model using Quarter 3 as the reference and compute the Fourth Quarterly sales forecast for Year 5. Round your answers to three decimal places.
Below is a table containing data on product demand for the most recent five months along with the forecasts that had been made for those 5 previous months. Use the exponential smoothing method to forecast the number of sales to expect next month. Use the following value of alpha: 0.2. Month Demand Forecast 1 308 349.2 2 388 340.9 3 344 350.3 4 400 349.1 5 341 359.3

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