(b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects inthe data (in $1,000s). Qrt1 = 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3 = 1 if quarter 3, 0otherwise.Ŷ₁ =Based only on the seasonal effects in the data, compute estimates of quarterly sales (in $1,000s) for year 6.quarter 1 forecast$thousandquarter 2 forecastthousandquarter 3 forecastthousandquarter 4 forecastthousand$$$(c) Let t = 1 refer to the observation in Quarter 1 of Year 1; t = 2 to refer to the observation in Quarter 2 of Year 1; ...; andt = 20 refer to the observation in Quarter 4 of Year 5. Using the dummy variables defined in part (b) and t, develop anequation to account for seasonal effects and any linear trend in the time series. (Round your numerical values to one decimalplace.)Ŷ:Based upon the seasonal effects in the data and linear trend, compute estimates of quarterly sales (in $1,000s) for year 6.(Round your answers to the nearest thousand dollars.)quarter 1 forecast$thousandquarter 2 forecast $thousandquarter 3 forecast$thousandquarter 4 forecast$thousand South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although thefirm has been in business only five years, revenue has increased from $308,000 in the first year of operation to $1,084,000 in themost recent year. The following data show the quarterly sales revenue in thousands of dollars.O8Sales ($1,000s)Sales ($1,000s)Quarter Year 1 Year 2 Year 3Year33775Sales ($1,00(a) Construct a time series plot.500T450-500450123400350-300+250200+150-1005050-04400350-300+250200-150+100-0505001450400350300+250200-150-100500500-450-400-350+300+250200150-100+20of100175131 2 3 4Year 11 2 3 4Year 11362452615532648MYear 3Year/QuarterYearYear 4 Year 54922023841 2 3 41 2 3 4 1 2 341234Year 2Year 4 Year 5821 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4Year 2Year 4 Year 5Year 3Year/Quarter2821 2 3 4 1 2 341 2 3 4 1 2 341234Year 1 Year 2 Year 3Year 4 Year 5Year/Quarter1764451 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4Year 1 Year 2 Year 3 Year 4 Year 5Year/QuarterThe time series plot shows only seasonal effects.O The time series plot shows only a linear trend.181@nWhat type of pattern exists in the data?O The time series plot shows neither a linear trend nor seasonal effects.O The time series plot shows both a linear trend and seasonal effects.(b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects inthe data (in $1,000s). Qrt1= 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3= 1 if quarter 3, 0otherwise.

Answered: firm has been in business only five…

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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Year Percent of workers paid hourly rates 1979 61.2 1980 60.7 1981 61.3 1982 61.3 1983 61.8 1984 61.7 1985 61.8 1986 62.0 1987 62.7 1990 62.8 1992 62.9 The percent of female wage and salary workers who are paid hourly rates is given above for the years 1979-1992. a. Using "year" as the independent variable and "percent" as the dependent variable, make a scatter plot of the data. b. Does it appear from inspection that there is a relationship between the variables? c. Find the estimated percents for 1991 and 1988. d. Use the two points in part C to plot the least squares line on your graph from part A.
The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. a. First find both sample means and compare them. b. Test the hypothesis that the population means are different, using a significance level of 0.05. Click the icon to view the table of prices. a. Find the sample mean for University A. $ (Round to the nearest cent as needed.)
the data contained in the datafile named crudecost shows the U.S. refiner acquisition cost of crude oil in dollars per barrel (energy information administration website,February 3, 2014).a. construct a time series plot. What type of pattern exists in the data?
SON ********** b. Do the organic Dr. Stephanie Andrews (5) Researchers from the University of Miami found that a person's GPA in high school could be an indicator of how much that person will earn later in life. The chart below depicts the findings of the study. Average annual earnings in adulthood, by high school GPA Men $50,000 40,000 30,000 20,000 10,000 0 0.0 Women 0.5 1.0 1.5 2.0 2.5 HIGH SCHOOL GPA SOURCE: University of Miami GRAPHIC: The Washington Post. Published May 20, 2014 3.0 3.5 4.0 4 a. Consider the two variables, High School GPA and Average Annual Earnings in Adulthood. Which is dependent? b. Describe the relationship between High School GPA and Average Annual Earnings in Adulthood. Is the correlation positive or negative? (Write at least two sentences.) c. Does a person's High School GPA cause them to earn a certain salary in adulthood? Explain. (Write at least one sentence.) sta tement
Which statement describes the shape of the data? 1-it is symmetric and has no gaps 2- it is not symmetric and has a peak at 7.00 3- it is a cluster from 1.00-7.00 and has no gaps 4-it is a cluster from 1.00-7.00 and has a peak at 6.00
Centerville Bikes and Stuff (CBS) sells motorcycles and accessories. The number of helmets sold by CBS per week for the past six weeks follows. Week 1 2 3 4 5 6 Value 17 12 14 10 16 13 (a) Construct a time series plot. A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect are as follows. The segments start at (1, 17), go down and right to (2, 12), go up and right to (3, 14), go down and right to (4, 10), go up and right to (5, 16), and go down and right to stop at (6, 13). A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect…
The following time series shows the sales of supermarket chain over the last six months. Month Sales ($ 000) August 2021 250 Sep 2021 280 Oct 2021 295 Nov 2021 320 Dec 2021 380 Jan 2022 360 Develop a linear trend equation that can be used to forecast sales in Feb 2022. Forecast the sales in Feb 2021 using a three-period weighted moving average designed with the following weights: Nov 2021 weight 0.6, Dec 2021 weight 0.3 and Jan 2022 weight 0.1. Which method (A or B) is the best? Explain why.
The final grade in a particular course is determined by grades on the midterm and final. The grades for five students and the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Complete parts (a) and (b). Click to view the matrices. a. Describe the grading system that is represented by matrix B. Grading system 1 assigns 50% of the final grade to the midterm and 50% of the final grade to the final. Grading system 2 assigns 20% of the final grade to the midterm and 80% of the final grade to the final. b. Compute the matrix AB and assign each of the five students a final course grade first using system 1 and then using system 2. (89.5-100=A, 79.5-89.4 = B, 69.5-79.4 = C, 59.5-69.4D, below 59.5 = F) Grade System 1 System 2 ... Student 1 Student 2 Student 3 Student 4 Student 5 (Type A, B, C, D, or F.)
The following data show the number of rental cars in service for three rental car corporations: Henz, Avis and Dollar. The data are for the years 2007-2010 and are in thousands of vehicles (auto Rental News website, May 15, 2011) Company 2007 2008 2009 2010 Hentz 327 311 286 290 Dollar 167 140 106 108 Avis 204 220 300 270 Construct a time series graph for years 2007 and 2010 showing the number of rental cars service for each company. Show the time series for all three companies on the same graph Comment on who appears to be the market share leaders and how market shares are changing over time. Construct a bar chart showing rental cars in service for 2010. Is this chart based on cross sectional or time series data?
Consider the following time series data.Quarter Year 1 Year 2 Year 31 4 6 72 2 3 63 3 5 64 5 7 8a. Construct a time series plot. What type of pattern exists in the data?b. Show the four-quarter and centered moving average values for this time series.c. Compute seasonal indexes and adjusted seasonal indexes for the four quarters.
In the theory of time series, earthquakes can be considered as a. Seasonal Variation b. Cyclical Variation c. Irregular Variations d. Secular Trend

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