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Introduction to quantitative sales forecasting

  • The sales forecast is an important business planning tool

    • It provides an estimation of future sales figures using past data and considering predictable external factors

  • Sales forecasts can be used to identify trends in product sales, which can then be compared with the market as a whole

Methods used in quantitative sales forecasting

Method

Explanation

Moving averages

  • A series of averages calculated from successive segments of a series of data

  • These averages smooth data so that trends may be more easily identified

Extrapolation

  • The prediction of future sales from past data

  • Extrapolation can often be done simply by extending a line of best fit

Correlation

  • Where there is a link between two variables, there is a correlation

  • Correlations may be positive or negative

Calculation of time: Series analysis

Moving averages

  • Sometimes, past sales data is too erratic for clear trends to be identified

  • A moving average smooths raw data and allows analysts to spot patterns, even when sales are subject to seasonal variations

  • Four-month or twelve-month moving averages are used where seasonality is a key factor in sales

Calculating moving averages

Steps for calculate the moving average: Step 1 is calculating the moving total, and Step 2 is calculating the centred average.
Steps to calculate the moving average
  • The moving total is calculated by adding together sales figures for a specified number of periods

    • E.g. a three-month moving total is calculated by adding the first three months, followed by the second three months and the third three months and so on

  • The centred average is calculated by dividing the moving total by the specified number of periods

    • E.g. a three-month centred average is calculated by dividing the three-month moving total by three

  • A series of centred averages is known as the moving average

Worked Example

RJ Inflatables is a manufacturer of novelty celebration balloons. Its monthly sales from January to July are shown in Table A.

Rachel Jameson, the managing director, is concerned that sales are declining but is struggling to identify a trend with the sales data she has available. Rachel’s financial administrator has suggested using a moving average so that she can forecast future sales with greater accuracy.

Table A

Table showing monthly sales in pounds. January: 42,000; February: 51,000; March: 45,000; April: 33,000; May: 47,000; June: 30,000; July: 45,000.

Calculate a three-month moving average using RJ Inflatables’s January to July sales data.

(6)

Step 1: Calculate the three-month moving total of sales for each group of three months

Table showing monthly sales and three-month moving totals in pounds for January to July. Sales figures vary between £30,000 to £51,000.

Step 2: Calculate the three-month centred average for each group of three months

Table showing monthly sales in pounds and three-month moving totals. Highlighted are the three-month centred averages from March to July.
  • When plotted on the same graph, the three-month centred average provides a smoother curve, which makes extrapolation of the data for forecasting relatively straightforward

Raw data compared to the moving average

Graph showing raw sales and 3-month centred average from January to July. Blue line for raw sales, red line for centred average, with a key at the bottom.
A comparison of raw sales data and 3-month centred average data

Interpreting scatter graphs

  • Scatter graphs allow businesses to compare two variables, such as sales volume and advertising, to establish if there is any correlation between them

Example scatter graph

<img alt=”Scatter graph showing the relationship between the number of sales managers employed and the volume of sales, with data points marked as red crosses.” data-nimg=”1″ decoding=”async” height=”838″ loading=”lazy” sizes=”(max-width: 320px) 320w, (max-width: 640px) 640w, (max-width: 960px) 960w, (max-width: 1280px) 1280w, 1920w” src=”https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png” srcset=”https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=16/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 16w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=32/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 32w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=48/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 48w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=64/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 64w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=96/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 96w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=128/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 128w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=256/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 256w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=384/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 384w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=640/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 640w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=750/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 750w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=828/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-comuploads2023053-3-1-an-example-of-a-scatter-graph.png 828w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=1080/https://cdn.savemyexams.com/uploads/2025/09/23457_httpscdn-savemyexams-

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