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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 32RE
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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?
$6,000,000
$5,000,000
$4,000,000
$3,000,000
$2,000,000
$1,000,000
$0
2010
Sales
y = 460655x - 9E+08
R² = 0.7202
2012
2014
2016
2018
2020
2022
Transcribed Image Text:$6,000,000 $5,000,000 $4,000,000 $3,000,000 $2,000,000 $1,000,000 $0 2010 Sales y = 460655x - 9E+08 R² = 0.7202 2012 2014 2016 2018 2020 2022
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