Consider the following time series data.QuarterYear 1Year 2Year 318.25346789.(a) Construct a time series plot. What type of pattern exists in the data?O The time series plot shows a linear trend and no seasonal pattern in the data.O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.O The time series plot showshorizontal pattern and no seasonal pattern in the data.The time series plot showslinear trend and a seasonal pattern in the data.(b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in thedata. (Round your numerical values to three decimal places.)x, = 1 if quarter 1, 0 otherwise; x, = 1 if quarter 2, 0 otherwise; x, = 1 if quarter 3, 0 otherwiseŷ =(c) Compute the quarterly forecasts for the next year based on the model you developed in part (b). (Round your answers to twodecimal places.)quarter 1 forecastquarter 2 forecastquarter 3 forecastquarter 4 forecast(d) Use a multiple regression model to develop an equationvariables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for quarter 1 in year 1,account for trend and seasonal effects in the data. Use the dummyt = 2 for quarter 2 in year 1, ... t = 12 for quarter 4 in year 3. (Round your numerical values to three decimal places.)Ý =(e) Compute the quarterly forecasts for the next year based on the model you developed in part (d). (Round your answers to twodecimal places.)quarter 1 forecastquarter 2 forecastquarter 3 forecastquarter 4 forecast

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Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 5 7 8 2 5 4. 6 4 6 8 (a) Construct a time series plot. What type of pattern exists in the data? The time series plot shows a linear trend and no seasonal pattern in the d 3.

Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 5 7 8 2 5 4. 6 4 6 8 (a) Construct a time series plot. What type of pattern exists in the data? The time series plot shows a linear trend and no seasonal pattern in the d 3.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...

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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…
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Recent publications have addressed the growing concern in the scientific community around the increased prevalence of CAT scans in children between the ages of 7-18 and the growing rate of childhood cancers. Suppose the researcher plans to gather a SRS from a group of children in this age range who have received one or more CAT scans, and a SRS from a group of children who have never received a CAT scan and compare the number of cases of childhood cancers that develop over a prolonged period of time. Assume the following table summarizes the descriptive statistics for his samples. Population Average cases of childhood cancers Standard deviaton Sample size >CAT scan 24.6 2.4 1,894 No CAT scans 11.4 1.9 2,745 A) Carry out the appropriate statistical test to answer the researcher’s hypothesis regarding the difference in average cases of childhood cancers in children aged 7-18 receiving one or more CAT scans versus those that have never received a CAT scan. Use an alpha level…