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Guide to Using Minitab 14 For Basic
Statistical Applications
To Accompany
Business Statistics: A Decision Making
Approach, 8th Ed.
Chapter 16:
Analyzing and Forecasting Time-Series
Data
By
Groebner, Shannon, Fry, & SmithPrentice-Hall Publishing Company
Copyright, 2011
Chapter 16 Minitab Examples
Trend Based Forecasting
Taft Ice Cream Company
Nonlinear Trend
Harrison Equipment Company
Seasonal Adjustment
Big Mountain Ski Resort
Single Exponential Smoothing
Dawson Graphic Designs
More Examples
Chapter 16 Minitab Examples
Double Exponential Smoothing
Billingsley Insurance Company
Trend Based Forecasting -Taft Ice Cream Company
Issue: The owners of Taft Ice Cream Company
considering expanding their manufacturing
facilities. The bank requires a forecast of future
sales.
Objective: Use Minitab to build a forecasting
model based on 10 years of data.
Data file is Taft.MTW
Open File Taft.MTW
Trend Based Forecasting – Taft Ice Cream Company
First click on
Graph, then Time
Series Plot.
Trend Based Forecasting – Taft Ice Cream Company
Select Simple
Trend Based Forecasting – Taft Ice Cream Company
Enter data column
to be graphed.
Then click
Time/Scale
Trend Based Forecasting – Taft Ice Cream Company
Click on Calendar
and specify Year –
then determine
starting Year
(1997)
Trend Based Forecasting – Taft Ice Cream Company
A linear trend is
evident in this time
series plot.
Trend Based Forecasting – Taft Ice Cream Company
To develop the trend line, click on Stat,
then Regression and Regression again
Trend Based Forecasting – Taft Ice Cream Company
Identify the
columns
containing the
Time Series
and also
specify the
dependent
variable (t)
Trend Based Forecasting – Taft Ice Cream Company
Linear Trend
Model
Trend Based Forecasting – Taft Ice Cream Company
A second method
- select Stat –
Time Series –
Trend Analysis
Trend Based Forecasting – Taft Ice Cream Company
Specify time
series variable
and select
Linear model
type
Trend Based Forecasting – Taft Ice Cream Company
Measures of
forecast
accuracy
Trend Based Forecasting – Taft Ice Cream Company
Issue: Harrison Equipment is interested in
forecasting future repair costs for a crawler tractor it
leases to contractors.
Objective: Use Minitab to develop a nonlinear
forecasting model.
Data file is Harrison .MTW
Nonlinear Trend –
Harrison Equipment Company
Open File Harrison.MTW
Nonlinear Trend – Harrison Equipment Company
Select Graph – then Time
Series Plot
Nonlinear Trend – Harrison Equipment Company
Select Simple
Nonlinear Trend – Harrison Equipment Company
Define Time
Series variable
(Repair Costs)
and then select
Time/Scale
Nonlinear Trend – Harrison Equipment Company
Select
Calendar
and pick
Quarter
Year option
Nonlinear Trend – Harrison Equipment Company
Specify
starting
Quarter and
Year
Nonlinear Trend – Harrison Equipment Company
To develop a
linear model,
click on Stat,
then Time
Series and
finally Trend
Analysis.
Nonlinear Trend – Harrison Equipment Company
Specify time
series
variable
(Repair
Costs) and
select Linear
Nonlinear Trend – Harrison Equipment Company
Linear
Model
Results
Nonlinear Trend – Harrison Equipment Company
To develop a
model with time
squared as the
variable Click on
Calc, then
Calculator.
Nonlinear Trend – Harrison Equipment Company
Identify column for
new variable, in
Expressions box enter
form of new variable.
Click OK
Nonlinear Trend – Harrison Equipment Company
Click on
Stat, then
Regression
and
Regression
again.
Nonlinear Trend – Harrison Equipment Company
Define the
Response
variable
(Repair
Costs)
Predictors
(Qtr2) then
click
Storage.
Nonlinear Trend – Harrison Equipment Company
Under
Diagnostic
Measures
select
Residuals,
under
Characterist
ics select
Fits. Click
OK twice.
Nonlinear Trend – Harrison Equipment Company
The Minitab
output shows
the regression
model.
Nonlinear Trend – Harrison Equipment Company
Seasonal Adjustment -
Big Mountain Ski Resort
Issue: The resort wants to build a forecasting model
from data that has a definite seasonal component.
Objective: Use Minitab to develop a forecasting model
adjusting for seasonal data.
Data file is Big Mountain.MTW
Open File Big
Mountain.MTW
Seasonal Adjustment – Big Mountain Ski Resort
Seasonal Adjustment – Big Mountain Ski Resort
Click on Stat,
then Time
Series and then
select
Decomposition.
Define the
Variable, the
Model Type,
the Seasonal
length and
the Model
Components.
Seasonal Adjustment – Big Mountain Ski Resort
The graph shows
the actual and
predicted values.
Seasonal Adjustment – Big Mountain Ski Resort
This output
shows the
original data
and other
graphs.
Seasonal Adjustment – Big Mountain Ski Resort
The Trend
Line Equation,
the Seasonal
Indices and
MAPE, MAD
and MSD are
also given.
Seasonal Adjustment – Big Mountain Ski Resort
Single Exponential Smoothing
Dawson Graphic Design
Issue: The company needs to develop a forecasting
model to forecast incoming customer calls so they are
able to make informed future staffing decisions.
Because the time series appears to be relatively stable,
a relatively small smoothing constant will be used.
Objective: Use Minitab to develop a single exponential
smoothing forecasting model.
Data file is Dawson.MTW
Open File Dawson.MTW
Single Exponential Smoothing – Dawson Graphic Design
Click on
Stat, then
Time Series
and finally
Single
Exponential
Smoothing.
Single Exponential Smoothing – Dawson Graphic Design
Identify the Time
Series Variable.
Either specify
alpha or ask
Minitab to
optimize the
forecasting model.
Select Storage
Single Exponential Smoothing – Dawson Graphic Design
Select Fits
Single Exponential Smoothing – Dawson Graphic Design
The graph shows the actual
and forecast values. The
accuracy measures are also
given.
Single Exponential Smoothing – Dawson Graphic Design
To determine
optimal
alpha,
Identify the
Time Series
Variable. Ask
Minitab to
optimize the
forecasting
model.
Single Exponential Smoothing – Dawson Graphic Design
Single Exponential Smoothing – Dawson Graphic Design
The graph shows the actual
and forecast values. The
accuracy measures and the
optimum alpha are also given.
Issue: The claims manager has data for 12 months and
wants to forecast claims for month 13. But the time
series contains a strong upward trend
Objective: Use Minitab to develop a double exponential
smoothing model.
Data file is Billingsley.MTW
Double Exponential Smoothing
Billingsley Insurance
Open file Billingsley.MTW
Double Exponential Smoothing – Billingsley Insurance
Click on
Stat then
Time Series
and finally
Double
Exponential
Smoothing.
Double Exponential Smoothing – Billingsley Insurance
Identify the
Time Series
Variable.
Either specify
alpha and
beta or ask
Minitab to
optimize the
forecasting
model.
Double Exponential Smoothing – Billingsley Insurance
The graph shows the actual and
forecast values. The accuracy
measures are also given.
Double Exponential Smoothing – Billingsley Insurance