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.
Transcribed Image Text:--- ### 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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