corporate triple-a bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. construct a time series plot. What type of pattern exists in the data?b. develop three-month and four-month moving averages for this time series. does thethree-month or four-month moving average provide more accurate forecasts basedon MSe? explain.c. What is the moving average forecast for the next month?

corporate triple-a bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. construct a time series plot. What type of pattern exists in the data?b. develop three-month and four-month moving averages for this time series. does thethree-month or four-month moving average provide more accurate forecasts basedon MSe? explain.c. What is the moving average forecast for the next month?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section4.5: Analyzing Lines Of Fit

Problem 25E

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corporate triple-a bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. construct a time series plot. What type of pattern exists in the data?b. develop three-month and four-month moving averages for this time series. does thethree-month or four-month moving average provide more accurate forecasts basedon MSe? explain.
The Seneca Children’s Fund (SCC) is a local charity that runs a summer camp for disadvantagedchildren. The fund’s board of directors has been working very hard over recentyears to decrease the amount of overhead expenses, a major factor in how charities arerated by independent agencies. The following data show the percentage of the money SCChas raised that was spent on administrative and fund-raising expenses over the last sevenyears. a. Construct a time series plot. What type of pattern exists in the data?b. Use simple linear regression analysis to find the parameters for the line that minimizesMSE for this time series.c. Forecast the percentage of administrative expenses for year 8.d. If SCC can maintain its current trend in reducing administrative expenses, how longwill it take SCC to achieve a level of 5 percent or less?
Corporate triple A bond interest rates for 12 consecutive months follow.9.5 9.3 9.4 9.6 9.8 9.7 9.8 10.5 9.9 9.7 9.6 9.6a. Construct a time series plot. What type of pattern exists in the data?b. Develop three-month and four-month moving averages for this time series. Does thethree-month or the four-month moving average provide the better forecasts based onMSE? Explain.c. What is the moving average forecast for the next month?
A statistical program is recommended. The quarterly sales data (number of copies sold) for a college textbook over the past three years follow. Quarter Year 1 Year 2 Year 3 1 1,690 1,800 1,860 2 950 910 1,110 3 2,625 2,910 2,940 4 2,510 2,370 2,615 (a) Construct a time series plot. What type of pattern exists in the data? There appears be a downward linear trend but no seasonal pattern in the data.There appears to be a seasonal pattern in the data and perhaps a moderate upward linear trend. There appears be an upward linear trend but no seasonal pattern in the data.There appears to be a seasonal pattern in the data and perhaps a moderate downward linear trend. (b) Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to the nearest integer.) Qrt1 = 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3 = 1 if quarter 3, 0 otherwise t =…
After its move in 1990 to La Junta, Colorado, and its new initiatives, the DeBourgh Manufacturing Company began an upward climb of record sales. Suppose the figures shown here are the DeBourgh monthly sales figures from January 2001 through December 2009 (in $1,000s). a) Produce a time series plot. Are there any trends evident in the data? Does DeBourgh have a seasonal component to its sales? b) Deseasonalize the data using Multiplicative model with a 0.5 weighted moving average. Produce a time series plot of the deseasonalized data and add a trendline. c) Forecast the sales from January to December of the year 2010. d) Include a discussion of the general direction of sales and any seasonal tendencies that might be occurrinG Month 2001 2002 2003 2004 2005 2006 2007 2008 2009 January 139.7 165.1 177.8 228.6 266.7 431.8 381 431.8 495.3 February 114.3 177.8 203.2 254 317.5 457.2 406.4 444.5 533.4 March 101.6 177.8 228.6 266.7 368.3 457.2 431.8 495.3 635 April 152.4 203.2…
In retail, a store manager uses time series models to understand shopping trends. Review the scatter plot of the store’s sales from 2010 through 2021 to answer the questions. See attached as image. Here is the data for Fiscal Year and Sales: Fiscal Year Sales 2010 $260,123.00 2011 $256,853.00 2012 $274,366.00 2013 $290,525.00 2014 $322,318.00 2015 $380,921.00 2016 $541,925.00 2017 $909,050.00 2018 $1,817,521.00 2019 $3,206,564.00 2020 $4,921,005.00 2021 $5,686,338.00 Time series decomposition seeks to separate the time series (Y) into 4 components: trend (T), cycle (C), seasonal (S), and irregular (I). What is the difference between these components? The model can be additive or multiplicative. When do you use each? Review the scatter plot of the exponential trend of the time series data. Do you observe a trend? If so, what type of trend do you observe? What predictions might you make about the store’s annual sales over the next few years?
A statistical program is recommended. The quarterly sales data (number of copies sold) for a college textbook over the past three years follow. Quarter Year 1 Year 2 Year 3 1 1,690 1,800 1,850 2 940 900 1,100 3 2,625 2,900 2,930 4 2,500 2,360 2,615 (a) Construct a time series plot. What type of pattern exists in the data? There appears be an upward linear trend but no seasonal pattern in the data. There appears be a downward linear trend but no seasonal pattern in the data. There appears to be a seasonal pattern in the data and perhaps a moderate downward linear trend. There appears to be a seasonal pattern in the data and perhaps a moderate upward linear trend. (b) Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to the nearest integer.) Qrt1 = 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3 = 1 if quarter 3, 0 otherwise t = { } (c) Using…
For the hawkins company, the monthly percentages of all shipments received on timeover the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83.a. construct a time series plot. What type of pattern exists in the data?
Consider the following time series. Quarter Year 1 Year 2 Year 3 1 70 67 61 2 50 42 52 3 59 61 54 4 79 82 73 (a) Construct a time series plot. What type of pattern exists in the data? Is there an indication of a seasonal pattern? The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.The time series plot shows a horizontal pattern with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.The time series plot shows a trend pattern with no seasonal pattern present. (b) Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. x1 = 1 if quarter 1, 0 otherwise; x2 = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise. ŷ = (c) Compute the quarterly forecasts for the next year. quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast
The elevation of a lake surface (feet above sea level) varies according to the annual flow of a river that feeds it. A geological survey provided the following data from equally spaced intervals of time over a 15 year period. Time Period Elevation 1 4817 2 4819 3 4824 4 4822 5 4826 6 4831 7 4836 8 4837 9 4839 10 4837 11 4832 12 4827 13 4823 14 4818 15 4817 Make a time-series graph displaying the data.
Year Gross Federal Debt ($millions) 1945 260,123 1950 256,853 1955 274,366 1960 290,525 1965 322,318 1970 380,921 1975 541,925 1980 909,050 1985 1,817,521 1990 3,206,564 1995 4,921,005 2000 5,686,338 Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe? Use Excel to fit a linear trend and an exponential trend to the data. Display the models and their respective r^2. Interpret both models. Which model seems to be more appropriate? Why?
Companies are devoting time and energy to promote recycling. A major recycling company found some old documents that present the recorded amount of cell phone collected over a span of eight years. Year Cellular Telephones Collected (in millions) 2009 2.2 2010 2.6 2011 2.9 2012 3.4 2013 3.1 2014 4.2 2015 4.9 2016 5.3 Part a) Develop a time series plot with Year on the X axis and Cellular Telephones Collected on the Y axis. Part b) Does there appear to be a relationship between time and cellular telephones collected?