Use a Linear Trend Line to forecast the demand for months 13 and 14 of the following time series: Month Demand Y, 60 1 37 50 2 40 3 41 40 4 37 45 50 7 43 8 47 10 9 56 10 52 1 2 3 4 5 6 7 8 9 10 11 12 Month 11 55 12 54 Note: You myst shouw your werk. Grive the eqyatio for the linear trend line, and show all calculationS. Demand
Use a Linear Trend Line to forecast the demand for months 13 and 14 of the following time series: Month Demand Y, 60 1 37 50 2 40 3 41 40 4 37 45 50 7 43 8 47 10 9 56 10 52 1 2 3 4 5 6 7 8 9 10 11 12 Month 11 55 12 54 Note: You myst shouw your werk. Grive the eqyatio for the linear trend line, and show all calculationS. Demand
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### MTH 301 – Quantitative Methods
**Exercise:**
Use a Linear Trend Line to forecast the demand for months 13 and 14 of the following time series:
| Month \( t \) | Demand \( Y_t \) |
|---------------|------------------|
| 1 | 37 |
| 2 | 40 |
| 3 | 41 |
| 4 | 37 |
| 5 | 45 |
| 6 | 50 |
| 7 | 43 |
| 8 | 47 |
| 9 | 56 |
| 10 | 52 |
| 11 | 55 |
| 12 | 54 |
**Instructions:**
- You must show your work.
- Give the equation for the linear trend line, and show all calculations.
**Plot Explanation:**
A graph is presented alongside the data table to visually represent the demand over 12 months.
- The X-axis is labeled "Month" and ranges from 1 to 12.
- The Y-axis is labeled "Demand" and ranges from 0 to 60.
- Data points are plotted for each month to show the fluctuation in demand over time.
- Each point represents the demand for a specific month.
The graph exhibits an overall increasing trend with some fluctuations.
---
This transcription and plot explanation offer a detailed understanding of the exercise for students visiting an educational website.
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