Suppose a company has the following sales for the last six months (January – June):
Month | Period | Sales |
January | 1 | 16 |
February | 2 | 25 |
March | 3 | 20 |
April | 4 | 20 |
May | 5 | 31 |
June | 6 | 35 |
July | 7 | 26 |
August | 8 | (a) |
Use this information to answer the following 7 questions:
ques 1 given the information above
6.Using January through July values, develop a linear trend equation for this time series (to 4 decimals). Please write the equation in the proper form.
7.Using your answer from (7), what is the average change in sales per month for this company (to 2 decimals)?
(6)
From the given data, the following Table is calculated:
X | Y | XY | X2 |
1 | 16 | 16 | 1 |
2 | 25 | 50 | 4 |
3 | 20 | 60 | 9 |
4 | 20 | 80 | 16 |
5 | 31 | 155 | 25 |
6 | 35 | 210 | 36 |
7 | 26 | 182 | 49 |
Total = 28 | 173 | 753 | 140 |
Linear Trend Equation for this Time Series is given by:
(7)
The average change in sales per month for this company = Slope = 2.18
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